In conclusion, the hospital needs to consider their staffing needs on a shift-by-shift basis, taking into account the number of patients and nurses' preferences.
What is number?Number mathematical entity used to represent a quantity or magnitude it can be symbol or a combination of symbol used to denoted a quantity such as 2573 or 8 1 number are used in a variety of context including counting measuring and computing they are also used to denote the size or amount of something such as a number of people in a room or the number of apples in a basket number play an important role in mathematics including algebra geometry and calculus.
Based on the above figures, the hospital would require a staffing of approximately 62 nurses on Shift A, 93 nurses on Shift B, 68 nurses on Shift C, and 27 nurses on Shift D. This would equate to a total of 250 nurses, which is the number of nurses the hospital has on its staff.
The hospital can adjust the staffing needs by taking into account the amount of nurses needed to provide the necessary patient care. If the shift with the highest number of patients (Shift B) requires additional nurses, the hospital could move nurses from the shift with the lowest number of patients (Shift D). This would result in fewer nurses on Shift D, but would allow for more nurses on Shift B.
In order to ensure that nurses are working in a safe and comfortable environment, the hospital should also take into account the nurses' own preferences. If nurses prefer to work certain shifts, the hospital can adjust the staffing levels accordingly. This can help create a better work-life balance for the nurses, which can, in turn, improve their job satisfaction and performance.
In conclusion, the hospital needs to consider their staffing needs on a shift-by-shift basis, taking into account the number of patients and nurses' preferences. This way, they can maintain a safe and comfortable environment for their nursing staff, while also ensuring that they have enough nurses to provide the necessary care to their patient.
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Best buy is having a 15% off sale on all brands of computers. Jerome buys a computer regularly priced at $2250. How much does jerome save on the computer? if the sales tax is 7. 5%what is the amount of tax on the computer? how much is the total cost for the computer? what would be the total price for the computer not on sale?
Jerome saves 337.5$ on the computer.
Jerome buys the computer for 1912.5$.
The total cost of the computer is 2056$ including sales tax.
The total price of the computer not on sale is 2418.75$.
The discount is 15% of the original price:
0.15 x $2250 = $337.50.
If the sales tax is 7.5%,
The price of the computer after the discount is $2250 - $337.50 = $1912.50.
The amount of tax on the computer is 7.5% of $1912.50:
0.075 x $1912.50 = $143.44.
The total cost for the computer is the discounted price plus the tax: $1912.50 + $143.44 = $2055.94.
The total price for the computer not on sale would be the original price plus the tax:
$2250 + $169.13 = $2419.13 (where tax is 7.5% of $2250).
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help me solve this please (please provide work)
Answer:
2x^2 - 12*x/2= Area For Shaded Region
Step-by-step explanation:
This works because you find tha area of both and subtract the shaded area by the unshaded area
Answer: Expression for the area of shades region of the figure = 2[tex]x^{2}[/tex] - 6x
Step-by-step explanation: Area of shaded region = Area of big rectangle - Area of small rectangle
Area of rectangle = length.breadth
Area of big rectangle = 2x.x { . means multiply}
= 2[tex]x^{2}[/tex]
Area of small rectangle = 12.(x/2)
=6x
∴ Area of shaded region = 2[tex]x^{2}[/tex] - 6x
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Can someone please pelass help with the attached image
Answer:
C) E=118°, T=118°
Step-by-step explanation:
The angles inside a quadrilateral (shape with four sides) always add to 360°. So this means:
W+E+S+T=360°
29°+E+95°+T=360°
E+T=360°-124°=236°
Note that the shape contains two congruent triangles (they share equal sides) ΔEWS and ΔTWS. This means their angles are the same so E=T
If E=T and E+T=236°, then E=T=236°/2=118°
Answer:
C) E-118°, T=118° is the answer
for a subset of patients it has been shown that a certain type of skin lesion will develop into cancer in 34% of patients if left untreated. there is a drug on the market that currently reduces this event rate to 28%. a pharmaceutical company is developing a new drug to treat these lesions but this would be worthwhile only if the new drug can reduce this further to 23%. in planning for a randomized clinical trial, how many evaluable participants are needed to have 80% power to detect a difference of 28% and 23% in the progression to cancer between the current and new drug?
At least 174 participants for the clinical trial, with half of them assigned to the current drug group and half assigned to the new drug group.
To answer this question, we need to consider some statistical concepts. The event rate, or the percentage of patients who progress to cancer, is a key factor in this scenario. The current drug has an event rate of 28%, while the new drug is expected to reduce this further to 23%. We want to detect a difference between these two rates, which is 5 percentage points.
The power of a statistical test is the probability of detecting a true difference between two groups, given that such a difference exists. In this case, we want the power to be at least 80%, which means that we want to have an 80% chance of detecting a true difference of 5 percentage points between the current and new drugs.
To calculate the sample size needed for the clinical trial, we need to consider the expected event rates, the desired power, and the level of statistical significance. The level of significance is typically set at 5%, which means that we are willing to accept a 5% chance of making a type I error (i.e., rejecting the null hypothesis when it is actually true).
Assuming a two-sided test (i.e., testing for a difference in both directions), we can use a formula or an online calculator to determine the sample size. The formula is:
n = (Zα/2 + Zβ)² [p₁(1-p₁) + p₂(1-p₂)] / (p₁ - p₂)²
where n is the sample size, Zα/2 is the critical value of the standard normal distribution at the 2.5% level (for a two-sided test), Zβ is the critical value of the standard normal distribution at the desired power (in this case, 80%), p₁ is the event rate for the current drug (28%), p₂ is the event rate for the new drug (23%), and (p₁ - p₂) is the expected difference in event rates.
Plugging in the values, we get:
n = (1.96 + 0.84)² [(0.28)(0.72) + (0.23)(0.77)] / (0.28 - 0.23)²
n = 173.2
Rounding up to the nearest whole number, we get a sample size of 174 participants.
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Please help me with this!! ( please answer thinking wuestion
1. In his newspaper, Peter Zenger published articles criticizing the Governor's use of arbitrary power
2. Because it was against the law to criticize the king or his appointees, the Attorney General accused Peter Zenger of committing" libel.
3. Hamilton believed Zenger was not guilty of this charge because in Zenger's newspaper articles the "truth is told
4. Hamilton felt that more than just Peter Zenger was on trial. He felt that the larger concept of American" liberty was at stake.
How to convey the informationHamilton and Morris agreed that the trial of Peter Zenger was important for American freedom and the defense of liberty.
As for the question about television and newspaper reporters, it is a matter of opinion. Some people believe that the freedom of the press is an important part of democracy, and that reporters should be able to criticize anyone in power, including the president. Others believe that criticism of the president should be limited to protect the dignity and stability of the office. In either case, it is important to strike a balance between free speech and responsible journalism.
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In February, Dawn's monthly allowance and Evelyn's monthly allowance were in the ratio 5: 8. In March, Mother increased Dawn's monthly allowance by 20% and decreased Evelyn's monthly allowance. Dawn and Evelyn then had the same amount of allowance. What was the percentage decrease in Evelyn's allowance in March?
Answer:
25%
Step-by-step explanation:
Let Dawn’s monthly allowance be 5x. Let Evelyn’s monthly allowance then be 8x.
Percentage increase by 20% is the same as multiplying a number by 1.2
To find the percentage decrease of Evelyn’s monthly allowance, we can equate their allowances after the change of their initial allowance.
1.2 * 5x = k/100 * 8x
k represents the percentage
6x = 8xk/100
Cancel the x’s from both sides
6 = 8k/100
600 = 8k
k = 75
Therefore since 75% of Evelyn’s monthly allowance is equal to Dawn’s increased monthly allowance, this means Evelyn’s monthly allowance was decreased by 25%.
volume of prism
25cm 40cm
Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
Answer:
The volume of a rectangular prism with length 25 cm and width 40 cm can be calculated as follows:
Volume = Length * Width * Height
Since the height is not given, we cannot calculate the exact volume.
Step-by-step explanation:
Find the perimeter of a rectangle whose length and breadth are 150 cm and 2 m respectively.
Step-by-step explanation:
150x 2m =300 m4679096x 56885666-1480+(34464757/Please help as soon as possible
The number of hours taken to have the same number of pages completed is 5 hours.
The solution to the system of equations is (5, 50).
How to write the system of equations for this system?In order to write a system of linear equations that could be used to model the situation and determine the number of hours it would take to complete the workbook, we would assign variables to the number of hours and the number of pages respectively as follows:
Let the variable x represent the number of hours.Let the variable y represent the number of pages.Next, we would translate the word problem into system of linear equations as follows:
Isaiah: y = x + 45
Brenna: y = 9x + 5
When the same number of pages are completed, the number of hours taken can be calculated as follows;
x + 45 = 9x + 5
9x - x = 45 - 5
8x = 40
x = 5 hours.
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Graph each inequality.
7. yz|x+2
The graph of the inequality is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
yz|x+2
Express properly
So, we have the following representation
y < x + 2
The above expression is an inequality that implies that
The value of y does not exceed 2 added to x
Next, we plot the graph
See attachment for the graph of the inequality
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A room measures 10m by 6m by 3m the volume of airspace needed for one person is 5m3 find the maximum number of person who may use the room at the same time
The number of persons that can use the room at the same time is 36.
The volume of the cuboid = length x width x height
The room is a cuboid.
Volume of the room = length x width x height
L = 10m, W = 6m, Height = 3m.
Volume = 10 x 6 x 3 = 180 cubic meter.
If each person takes 5 cubic meter of air space,
Then the total person who can occupy the room at the same time is 180/5 = 36.
A cuboid is a three-dimensional geometric shape that is bounded by six rectangular faces, where each face is a parallelogram. It is also known as a rectangular prism. The faces of a cuboid are called its base and lateral faces. The base of a cuboid is the top and bottom rectangular faces, while the lateral faces are the four rectangular faces that connect the base.
Cuboids have eight vertices or corners, where three edges meet, and 12 edges, which are the straight lines that connect the vertices. The length, width, and height of a cuboid are the dimensions of the three pairs of parallel sides of its rectangular faces, and these measurements are usually denoted by l, w, and h, respectively.
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Cindy spent $65. 25 on ingredients
for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice
of pie sells for $3. 50
Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.
1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.
2. Add the two amounts together: $65.25 + $62.84 = $128.09
3. Each slice of pie sells for $3.50.
4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.
the complete question is :
Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?
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Write a matrix to represent the following system: -x+5y=7, 7x-2y=3
[tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex] is the representation of system of equation x+5y=7, 7x-2y=3
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
The system of linear equations
-x + 5y = 7
7x - 2y = 3
can be represented in matrix form as:
[tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex]
The matrix on the left represents the coefficients of the variables x and y, and the matrix on the right represents the constants on the right-hand side of each equation.
The vector on the left contains the variables x and y, and the vector on the right contains the constants.
Hence, [tex]\left[\begin{array}{ccc}-1&5\\7&-2\end{array}\right]\left[\begin{array}{ccc}x\\y&\end{array}\right] =\left[\begin{array}{ccc}7\\3&\end{array}\right][/tex] is the representation of system of equation x+5y=7, 7x-2y=3
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Sarah earned a 4% commission on all of her sales in December. Her total sales for December were $80,000. How much money did she cam in commission?
On solving the provided question, we can say that Amount of commission = Total sales value x Rate of commission = 3,200
what is amount ?aggregate attempting to calculate the time required, total number or quantity. The quantity at hand or under consideration is incredibly energetic. the overall result, importance, or import. Principal, interest, and a third accounting. amounts, amounting, and amounted are word forms. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by.
[tex]Amount of commission = 3,200\\Total sales value = 80,000//[/tex]
Rate of commission = 4% on sales
Amount of commission = Total sales value x Rate of commission
Amount of commission = 80,000 x 4%
Amount of commission = 3,200
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i need help with this for math class
The expression that shows an equivalent expression include the following:
1/4(14x - 8 + 6x) = 5x - 2.
What is an expression?In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).
Based on the information provided above, we have the following mathematical expression:
1/4(14x - 8 + 6x)
By opening and expanding the bracket, we have the following mathematical expression:
1/4(14x - 8 + 6x) = 1/4(20x - 8)
1/4(20x - 8) = 5x - 2
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A spinner and a fair number cube are used in a game. The spinner has an equal chance of landing on 1 of 6 colors: red, purple, blue, green, white, or orange. The faces of the cube are labeled 1 through 6. What is the probability of a player spinning the color green and then rolling an even number?
The probability of a player spinning the color green and then rolling an even number is 1/12.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Spinner:
= {red, purple, blue, green, white, orange}
Cube:
= {1, 2, 3, 4, 5, 6}
Now,
The sample space of spinning and rolling a cube.
= {red, purple, blue, green, white, orange} x {1, 2, 3, 4, 5, 6}
The number of outcomes.
= 6 x 6
= 36
Now,
The outcome of spinning a green and an even number.
= (green, 2), (green, 4), (green, 6)
Number of outcomes = 3
Now,
The probability of a player spinning the color green and then rolling an even number.
= 3/36
= 1/12
Thus,
The probability of a player spinning the color green and then rolling an even number is 1/12.
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[tex]\frac{-3x+6}{x-2}[/tex] = 0
solve for x. if there is no solution, write no solution.
Answer:
there is no solution
Step-by-step explanation:
The point N lies on the segment MP.
Find the coordinates of N so that MN is of MP.
2/5
The coordinates of N are (-38.4, -18.4)
How to determine the coordinatesFrom the question, we have the following parameters that can be used in our computation:
M = (-26, -14)
P = (6, -2).
m : n = 2 : 3 i.e. 2/5
The coordinate is then calculated as
N = 1/(m + n) * (mx2 + nx1, my2 + ny1)
substitute the known values in the above equation, so, we have the following representation
N = 2/5 * (2 * 6 + 3 * -36, 2 * -2 + 3 * -14)
Evaluate
N = (-38.4, -18.4)
Hence, the coordinate is (-38.4, -18.4)
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Complete question
The point N lies on the segment MP.
Find the coordinates of N so that MN is of MP. 2/5
M- (-26, 14) P- (6,-2)
N(?,?)
The diagram shows a prism
Draw the front elevation and the side elevation of the prism on the grids.
Use a scale of 2 squares to 1m
The sketch of the front elevation and the side elevation of the prism are added as an attachment
How to draw the front elevation and the side elevation of the prismFrom the question, we have the following parameters that can be used in our computation:
The prism
Using the figure as a guide, we understand that:
The front elevation is a rectangle of 2m by 0.5m
While the side elevation is a rectangle merged with a trapezoid
Next, we draw the elevations (see attachment)
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Help me asap it is due soon pls
The solution of the system of equation y - 10 = 2x and 1/2 y = x + 5 is
A. (0, 10)How to solve the simultaneous equationThe simultaneous equation is solved by substitution method as follows
y - 10 = 2x and
1/2 y = x + 5
Isolate y in the first equation to get
y = 2x + 10
substitute y in 1/2 y = x + 5
1/2 (2x + 10) = x + 5
x + 5 = x + 5
x = 0
substitute x = 0 into y = 2x + 10
y = 2(0) + 10
y = 10
hence the solution is (0, 10)
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When buying a car Esther can choose a 2 door or 4-door car with leather or cloth interiors in black,silver, or white
The number of possible combinations are 12.
What is a combination?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
Given that, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white.
Now, C(3, 1)×C(2, 1)×C(2, 1)
= 3×2×2
= 12
Therefore, the number of possible combinations are 12.
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"Your question is incomplete, probably the complete question/missing part is:"
When buying a car, Esther can choose a 2 or 4 door car with leather or cloth interiors in black, silver, or white. How many possible combinations of her car selection?
use subsitution to solve the system y=2x-8 and -3x+4y=-22 x= and y=
(will give branliest)
Answer:
x = 2 and y = -4
Step-by-step explanation:
To solve using substitution, we define one unknown variable in terms of another and sub this into a second equation with both.
We are told y=2x-8 and -3x+4y=-22, so let's sub '2x-8' in for y in -3x+4y=-22:
-3x+4y=-22
-3x+4(2x-8)=-22
-3x+8x-32=-22
5x=10
x=2
If x=2 and y=2x-8, let's sub 2 in for x to find y:
y=2x-8
y=2(2)-8=4-8=-4
Shopping Two friends shop for fresh fruit. Jackson buys a watermelon for $6.25 and 5 pounds of cherries. Tim buys a pineapple for $3.15 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.
Answer:44
Step-by-step explanation:44444444
help please it's for today
2. In this institute, 150 students are in 1st year of ESO; 148, 2nd of ESO; 73, 3rd of ESO; 60, 4th of ESO; 150, high school and 204, training cycles. What percentage of students do cycles?
3. A merchant gives a clearance discount of 20% on all items. Indicate what the prices of the following items will be:
a) Skirt: €40
b) Jacket: €55
c) Pants: €35
d) Sweater: €28
4. I want to buy a 60 horsepower Seat Ibiza that costs €12,400. If I get a 15% dealer discount, how much will I pay for the car?
5. The price of a television has risen by 25% compared to last year. What is the current price if last year it was €510.80?
6. The Netflix connection is €17.25, we get a 20% discount. How much will the connection cost us?
7. A family buys a refrigerator that costs €840. Pay 30% in cash and the rest in 6 monthly installments. What is the amount of each term?
8. I paid €48 for a video game that cost €60. What percentage have I been discounted?
9. A car cost €12,000 at the beginning of the year. The Central Government gives a subsidy to buyers of €3000 for the old car, if it is more than 10 years old. How much will the car cost with the bonus and what % will we save?
10. What interest does a capital of €3000 produce at 4.5% per annum over 5 years?
11. What is the capital that a bank will return to us after 6 months to deposit €3700 at 7.5% per annum?
The percentage of students doing cycles is 37.98% ((204/535)*100).
What is a Percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it.
A % is a number without dimensions and without a measurement system.
The other answers are:
a) The skirt will cost €32 after the discount.b) The jacket will cost €44 after the discount.c) The pants will cost €28 after the discount.d) The sweater will cost €22.40 after the discount.After the dealer discount, the car will cost €10,540 (€12,400 * 0.85).
The current price of the television is €638.50 (€510.80 * 1.25).
The Netflix connection will cost €13.80 after the discount (€17.25 * 0.8).
The family will pay €252 in cash (30% of €840), and the amount of each monthly installment will be €126.
You have been discounted by 20% ((60-48)/60*100).
The car will cost €9,000 with the bonus (€12,000 - €3,000), and the family will save 25% of the original price (€3,000/€12,000*100).
The capital will produce €683.10 of interest (€3000 * 0.045 * 5).
The capital that the bank will return is €3,855 (€3700 + (€3700 * 0.075 * 6/12)).
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which sampling type will yield a representative sample? (choose one or more) group of answer choices stratified random snowball sample convenience simple random
Sampling type which will yield a representative sample is stratified random sampling.
A representative sample is a subset of a population that seeks to accurately reflect the characteristics of the larger group. For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females.
This method uses stratified random sampling to help identify its components. Other methods can include random sampling and systematic sampling. A representative sample seeks to choose components that match with key characteristics in the entire population being examined.
Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members' shared attributes or characteristics, such as income or educational attainment.
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A concert venue wants to make at least $3,150.00 profit for their Saturday night show.
Adult tickets cost $12.00 and children's tickets cost $6.00. The venue can seat up to
350 people. Find three combinations of adult and children's tickets that will make the
profit goal and not be more than 350 total people. Enter your answer as ordered pairs
(A,C) separated by a comma where A is the number of adult tickets sold and Cis
the number of children's tickets sold.
Answer:
(175, 175) -> $3,150
(200, 150) -> $3,300
(225, 125) -> $3,450
Explain: I hope this helps
While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this includes 0. 5, the die appears to be fair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this includes 0. 5, the die appears to be fair
Mei concluded that
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
It is based on a statistical analysis of the data collected by Mei.
The proportion of times the die landed on the number 4 is calculated as 48/100 = 0.48.
Using a statistical method called a confidence interval, we can estimate the range of values that the true proportion of times the die would land on the number 4 is likely to fall within, with 90% confidence.
The confidence interval calculated for this data is 0.398 to 0.562.
Since this interval includes the value of 0.5 (which would be the proportion of times a fair die would land on the number 4), By using statistical method we cannot reject the hypothesis that the die is fair.
Hence,
By using statistical method, we can conclude that the die would land on the number 4 is between 0.398 and 0.562 as 0.5 the die appears to be fair.
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FLIPPING COINS There are 2³
possible outcomes for flipping a
penny three times. There are 2⁹
possible outcomes for flipping a
penny nine times. How many times
more possible outcomes are there for
flipping a penny 9 times than flipping a
penny three times?
Answer:
504
Step-by-step explanation:
2 to the power of 9 is 512 2 to the power of 3 is 8 so 512-8 is 504 (hope w this helps!)
Answer:
504
Step-by-step explanation:
2^9 = 512
2^3= 8
512-8=504
Answer two questions about Systems AAA and BBB:
System AAA \text{\quad}start text, end text System BBB
\begin{cases}-3x+12y=15\\\\7x-10y=-2\end{cases}
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−3x+12y=15
7x−10y=−2
\begin{cases}-x+4y=5\\\\7x-10y=-2\end{cases}
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⎪
⎪
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⎪
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−x+4y=5
7x−10y=−2
1) How can we get System BBB from System AAA?
1. To get System BBB from System AAA, we can divide both sides of the first equation in System AAA by -3:
-3x + 12y = 15
-3x/ -3 + 12y/ -3 = 15/ -3
x + 4y = -5
So System BBB is obtained by dividing both sides of the first equation in System AAA by -3.
2. Are Systems AAA and BBB equivalent?
Yes, Systems AAA and BBB are equivalent. This means that they have the same solution set, despite having different coefficients in their equations. Equivalent systems of linear equations are systems that have the same solution set, regardless of the coefficients of the equations.
Mr. Titus travels from Charlotte to New York City and back 12 times each year. The total distance for each round trip is 623 miles. What is the total number of miles Mr. Titus travels from Charlotte to New York City and back each year? Enter your answer in the box.
Mr. Titus travels a total of 7476 miles annually between Charlotte, North Carolina, and New York City.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that twelve times a year, Mr. Titus makes the trip from Charlotte to New York City and back. Each round trip covers a total distance of 623 miles.
The total distance will be calculated as:-
Distance = 12 x 623
Distance = 7476 miles
Therefore, Mr. Titus' annual mileage between Charlotte, North Carolina, and New York City is 7476 miles.
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