The histogram for these data is given at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
For this problem, there are 5 classes with a range of 30, as 59.5 - 29.5 = 30, hence the class width is of:
30/5 = 6.
From the data-set, we have that:
There are 7 values between 29.5 and 35.5.There are 0 values between 35.5 and 41.5.There are 2 values between 41.5 and 47.5.There are 4 values between 47.5 and 53.5.There are 4 values between 53.5 and 59.5.Considering this, the histogram is given at the end of the answer.
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Algebra Challenge
1. Simplifying Expressions
Demam
The elementary school is building a new triangular playground that they want to
fence in. Given the three side lengths of 2x-1, 4x and 12x + 5 find the value of x
when the perimeter of the playground is 112 ft.
The situation can be represented by
nswer:
(2x-1)+4x+(12x+5)=114
Answer: Answer is 6.11
Step-by-step explanation:
Lets solve this equation (2x-1)+4x+(12x+5)=114
step 1: we first add x variables
ie. 2x + 4x + 12x = 18x
step 2: we add numbers
ie. -1 + 5 = 4
step 3: now we arrange LHS part
ie. 18x + 4 = 114
step 4: now move this 4 to right hand side and simplify them
ie. 18x = 114 - 4 = 110
step 5: now we divide 110 by 18 to get the value of x
ie. x = 110/18 = 6.11
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A survey showed the 8 about of 20 home owners in a neighborhood had cable television . If there were 320 homeowners in the neighborhood, how many could be expected to have cable television
The number that could be expected to have cable television will be 138 people.
How to calculate the value?From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television
Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:
= 8/20 ×320
= 8 × 16
= 128
The number of people will be 128.
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Hayfa does 336 jumping jacks in 8 minutes. How many does Hayfa do in 1 minute?
Answer:42
Step-by-step explanation:
Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42
Answer:
42 jumping jacks
Step-by-step explanation:
To find how many Hayfa does in a minute divide 336 by 8
➟ 336/8
➟ 42
∴ Hayfa can do 42 jumping jacks in a minute
Please help!!!! need help ASAP ahhhhhh
Is it possible to construct a cube with 2000
interlocking cubes? Justify your answer.
It is possible to construct a cube with 2000
interlocking cubes depending on the sides for each.
How to illustrate the information?It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.
In this case, the sides will be:
= 2000 / 6
= 333.33
In this case, it should be noted each side will be 333.33.
Also, if you want each to be a whole number, this won't be possible.
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What’s 2848 - y = 373
Answer:
Y= 2475
Step-by-step explanation:
We move 2848 across the = sign so we gotta change the sign
so we going to write it as
-Y= -2475
we want to keep the Y by it self so we going to divide -1 both side and we gets Y = 2475
Answer:
Y= 2475
We move 2848 across the = sign so we gotta change the sign
-Y= -2475
def didnt copy this ;-;
marie deposits $1,650 for three years at 3% interest compounded daily what is her ending balance
Answer:
1805.38
Step-by-step explanation:
hope this helps
A, B and C are coordinates on the line y = x − 7.
Use the table of values to find A, B and C.
1
Y
-8
Coordinates A
notand
X
0
-7
B
1
6
C
The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.
Here, we are given that A, B and C are coordinates on the line y = x − 7.
Also, we are given the following table for x and y values of A, B and C
x -1 0 1
y -8 -7 -6
coordinates A B C
The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.
Thus, the coordinates of A are (-1, -8)
the coordinates of B are (0, -7)
and the coordinates of C are (1, -6)
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
We can form the eq. for y,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
(2x+5)*
5x Angle addition postulate
The value of x determined by Angle addition postulate is (x = 25).
What is defined as the Angle addition postulate?The angle addition postulate in geometrical states that if two or more angles are placed side by side with a common vertex as well as a common arm between every pair of angles, the sum of those angles equals the total sum of the resulting angle. For example, if ∠AOB and ∠BOC are adjacent angles on the a common vertex O with OB as the common arm, then we have ∠AOB + ∠BOC = ∠AOC based on the angle addition postulate.As per the given questions;
The two angles are given as;
∠ABD = 5x + 10
and ∠DBC = 2x - 5
By the angle addition postulate;
The sum of both the angles will be 180.
Put the values;
∠ABD + ∠DBC = 180
5x + 10 + 2x - 5 = 180
Simplifying;
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25.
Thus, the values of x is determined as the (x = 25).
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The correct question is-
Find the value of x Angle addition postulate, when the value of two angles are-
(5x + 10) and (2x - 5)
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)
Write as decimal
Step be step please
Will give brainliest
Answer: 9002.146
Step-by-step explanation:
(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=
(9000)+2+(0.1)+(0.04)+(0.006)=
9002+0.1+0.04+0.006=9002.146
Find an equation of the tangent line to the curve xey yex = 4 at the point (0, 4).
An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].
What is tangent?A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.
Now according to the question;
To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-
Consider the given equation;
[tex]x e^y+y e^x=4[/tex]
Differentiate both side with respect to x;
[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]
Now apply product rule;
[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]
Applying exponential and power rule;
[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]
Solve the value of y'
[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]
Now, find the value of slope m.
[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]
[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]
Now, using the point-slope formula, obtain the line equation as follows.
[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]
Therefore, an equation of the tangent line to the curve is [tex]y=-(4+e^4) x+4[/tex].
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Luis is paid 245 per week plus a 12.5% commission on all sales over $500.his sales last week were totaled 1,340. What is his total earnings
Answer: 12.5% of 1,340 is 167.5 so Luis made $412.50
A poll was taken in a town with a population of 15,000. The poll asked for an opinion of the city council's performance for the past year. The number of
people who thought that the council had done well was 9,500. What percent of the population voted favorably? (Round to the nearest tenth if necessary)
So the percentage would be 9500/15000 = 63.333333333... = 63.3...%
A pharmacist mixed 800 mg of a liquid drug (sg = 0.8) in enough liquid to prepare 2 liters of a final product. what is the ratio strength of the final product?
The ratio strength of the final product is 1:0.4.
What is ratio strength?One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.
Drug strength = 800mg
whole volume =2ltrs
The ratio of the solution in 1 ltr is = 400 mg
The ratio strength of the solutions is = 1:0.4
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The Carson family sent 800 text messages last month. Mrs. Carson sent 280 text messages. Ben sent 520 texts. What percentage of the family's text messages did each person send?
The percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The Carson family sent 800 text messages last month.
Mrs. Carson sent 280 text messages
Ben sent 520 texts messages.
According to given question we have
Total text messages last month= 800
Mrs. Carson=
[tex]\frac{280}{800}*100\\ \\=35[/tex]
Ben
=
[tex]\frac{520}{800}*100\\ \\=65[/tex]
Therefore, the percentage of the family's text messages did Mrs. Carson is 35 % and Ben is 65 %.
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You have two rectangles. Each has sides of length 9 and 7. You place them together side-by-side to form a larger rectangle. Which statement about the larger rectangle cannot be true?
The correct option is B: The larger rectangle can have the length of 7, width 9+9 and the area 7×9 + 7×9.
What is defined as the rectangle?A rectangle is a confined two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal but also parallel.The two rectangle are given with the same dimensions.
The length are given as 9 and 7.
The, both rectangle are placed such that they forms the larger rectangle;
The placing is such that side with the length of 9 units are joined together.
Thus, the new width of the rectangle will be; 7 + 7.
The length of rectangle will remain same of 9 units.
The area of rectangle = length x breadth
area of larger rectangles = 7×9 + 7×9.
Therefore, the option which correctly points the condition is option B.
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Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $157,581, what were the sales (in $) last month?
Answer:
173, 339.10
Step-by-step explanation:
Move the decimal from 157,581.00 to the left to give you 10% of 15,758.10.
Add 15,758.10 to 157,581.00 to give you the total from last month.
Or, convert 10% to a decimal.
157,781 x 0.10 = 15,758.10
15,758.10 + 157,581 = 173,339.10
If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, what is the new standard time for the navigator iii?.
9 minutes is the new standard time for the navigator iii.
What is statistics and example?
Statistics is the branch of mathematics that deals with the gathering, tabulating, and analysis of numerical data. Statistics is defined as numerical data. A report of data indicating the number of adherents of each religion in a specific nation is an example of statistics.If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then
Element 1 2 3 4 5 6
Mean obs. Time(t) 1.11 3.1 0.895 1.283333 1.565 1.5
Normal time 1.0545 1.395 0.93975 1.283333 1.33025 1.65 Sum
Standard time 1.240588 1.641176 1.105588 1.509804 1.565 1.941176
Sum 9.003333
New standard time = 9 minutes
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Choose the angle name JWT
Find the real or imaginary solutions of 2x^2 + 3 = 4x by factoring.
Show steps (*30 pts)
The real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
Equation
2x² + 3 = 4x
Rearrange to form a quadratic equation2x² + 3 - 4x = 0
2x² - 4x + 3 = 0
Factoring to find real or imaginary solution∆ = (-4)² - (4 × 2 × 3)
= 16 - 24
∆ = 8
√∆ = √8
= 2√2
x1 = -(-4) - 2√2 / (2 × 2)
or
x2 = -(-4) + 2√2 / (2 × 2)
x1 = 4 - 2√2 / 4
or
x2 = 4 + 2√2 / 4
x1 = (2 - √2) / 2
or
x2 = (2 + √2) / 2
Therefore, the real or imaginary solutions of 2x² + 3 = 4x by factoring is x1 = (2 - √2) / 2 and x2 = (2 + √2) / 2
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A city had 210 abandoned homes. A
renovation crew reduced the number of
abandoned homes by 80%. How many
abandoned homes are in the city now?
Answer:
42
Step-by-step explanation:
210 × 20% = 42
1/2|x + 8| = |4x − 1|
Which operation should be used to solve x + 7 = 19?
Answer:
-7
Step-by-step explanation:
If you use -7 the LHS will get cancelled.
x + 7 = 19
or, x + 7 - 7 = 19 - 7
or, x = 12
A city has a population of 2,549,786 people. Estimate this population to the nearest million. Express your answer as the product of a single digit and a power of 10.
Rounded to the nearest million,the population is about ____
Written as the product of a single digit and a power of 10, this number is ___x 10^_
Please answer this ^-^
Answer:2,549,786 rounded to the nearest million is 3,000,000
Pls give me brainliest if I am rigth
Step-by-step explanation:3,000,000 written as a power of ten is
0.6x +0.5=0.8x - 1.1
Answer:
8
Step by step :
0.6x = 0.8x-1.1-0.5
0.6x-0.8x = -1.6
-0.2x = -1.6
x = -1.6/-0.2
x = 8
Suppose that the height of the slide is 2 feet, when x = 20. what is t brainlyhe average rate of change over the entire slide?
The average rate of change over the entire slide is 0.01 per unit.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line
Given,
the height of the slide = 2 feet
the value of x is 20 units
The average rate of change is the slope of the line
Therefore, the rate of change over the entire slide will be,
Rate of change = 2/20 = 0.1 feet per unit
Hence, the rate of change is 0.1 feet per unit.
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What is the difference between quantitative data and qualitative data? in what situations could the number 42 be considered qualitative data? what are the characteristics of a relational database?
The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.
Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
The seven characteristics that define relational database are:
Accuracy and Precision
Legitimacy and Validity
Reliability and Consistency
Timeliness and Relevance
Completeness and Comprehensiveness
Availability and Accessibility
Granularity and Uniqueness
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thirty-four and twelve hundredths is standard form
34.12
{thirty four, (34) and, (decimal) twelve hundredths (.12)}.
So it would end up being 3412. Hope i helped!
A pet groomer gave 9 baths, 15 nail trims, 8 brush-outs, and 5 ear cleanings.
For every 5 nail trims, the groomer gave 3.
Based on the baths, nail trims, brush-outs, and ear cleanings the pet groomer gave, for every 5 nails, the groomer gave 3 baths.
What is the ratio?The pet groomer gave out a total of 15 nail trims. To find out the service that the pet groomer gave 3 of for every 5 nail trims, find out the number that takes 15 nail trims to 5 nail trims and then use this number to divide the number of the other services given.
The service that comes to a quantity of 3 would be the answer.
= 15 nail trims / 5
= 3
Use 3 to divide the rest. When baths are divided by 3 we get:
= 9 / 3
= 3 baths
In conclusion, for every 5 nail trims, the groomer gave out 3 baths.
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Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation?
4x=5-2y
y-2x=7
OA 7-2z
OB. 4z - 5
OC. 5-4
OD. 2x + 7
Reset
Next
The correct option is D. 2x + 7 is used for solving the equation by substitution.
What is defined as the substitution method?The substitution method is a straightforward method for algebraically solving a system of linear equations and determining variable solutions. It entails determining the value of x-variable in aspects of y-variable using the first equation and afterwards substituting or fixing the value of x-variable with in second equation, as the name implies.The following are the two given equations;
4x = 5 - 2y .......equation 1
y - 2x = 7 .......equation 2;
using substitution mean put the value of one variable from 1 equation into the other.
Consider equation 2;
y - 2x = 7
y = 2x + 7
Put this in equation 1;
4x = 5 - 2y
4x = 5 - 2(2x + 7)
Simplifying;
4x = 5 - 4x - 14
4x = 9 - 4x
8x = 9
x = 9/8
Therefore, the value of x is obtained as 9/8 for which the equation used is (y = 2x + 7).
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