⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
⇒ Given:
-------------------------------------------------------------------------------------------------------------
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
⇒ Solution~:
-------------------------------------------------------------------------------------------------------------
Let's first define "Median".
You may be wondering "What is median/What is mean?".
When it asking for "Mean" It asking for the average.
When it asking for "Median" It asking for the middle number.
The formula for "Mean" is : M = sum of the terms/number of terms
According to the given we have;
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
Let's first find the "Mean":
First, add all the number together.
8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
34 + 9 + 6 + 5 + 10 + 7 + 6 + 6
43+ 6 + 5 + 10 + 7 + 6 + 6
49+ 5 + 10 + 7 + 6 + 6
54+ 10 + 7 + 6 + 6
64 + 7 + 6 + 6
71+ 6 + 6
77 + 6
= 83
Now let's count how many numbers of hours each student in a class slept.
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12
Now 83 divide by 12:
83/12 = 6.9166666666667 {Round}
6.9166666666667 = 6.9
Therefore, Mean = 6.9
-------------------------------------------------------------------------------------------------------------
Next, Let's find the "Median":
To find the Median, place the numbers in value order and find the middle.
⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now we have them in order:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Then, we find the middle number:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now You see that there two's 7 left.
If there is an even number of numbers add the two middles and divide by 2
Thus,
7 + 7 = 14
14/2 = 7
Therefore, Median = 7.
-------------------------------------------------------------------------------------------------------------
According to the solving above we can conclude that:
Mean: 6.9 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
xcookiex12
9/4/2022
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How many points are represented in the graph below? Enter a number or 'oo' if there are an infinite number
of points.
There are how many
points on the graph?
Answer:
Infinite
Step-by-step explanation:
The graph is continuous, so it passes through infinitely many points.
Marie is having trouble finding the answer to a math problem, so she asks her older brother for
help. He gives her a hint that the correct answer is a rational number. Assuming the hint is
accurate, which value is most likely the correct answer?
OA 1.4142135623...
OB. 2.7182818284..
OC 3.1415926535.
OD 4.1818181818...
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Let's check all the options, then we have
A 1.4142135623..., the number is an irrational number because the number is non-terminating.
B. 2.7182818284..., the number is an irrational number because the number is non-terminating.
C 3.1415926535..., the number is an irrational number because the number is non-terminating.
D 4.1818181818..., the number is a rational number because the number is terminating.
The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.
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What is the greatest common factor of 18 12 16
The greatest common factor of 18 12 16 is the number 2.
5-(-7)=5+______ finish the equation
Answer:
7
Step-by-step explanation:
subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven
Find the slope of the line that passes through (10,8) and (-5,8). Enter the slope as a whole number, a fraction (a/b), or undefined.
Answer:
y=8
Step-by-step explanation:
Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between -3 and 7
The inequality to represent the given condition is -3<x<7 .
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] It is frequently used to compare two numbers on the number line based on their sizes. Different types of inequalities are represented by a variety of notations, including:
The notation x < y means that x is less than y.The notation c > d means that c is greater than d.The notation a ≤ b means that a is less than or equal to b. The notation p ≥ q means that p is greater than or equal to q .The given statement gives the solutions of all real numbers between 3 and 7.
Therefore if we consider a real number x then, x>-3 and x<7 .
Combining together for a compound inequality: -3<x<7.
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Does anyone know the answer to 0.038 ounces to mg? Please
Answer:
1,077.281879 mg is the answer
Divide. Please help 10 points.
Answer:
The answer to the question is the third answer
Julie got 21 of the 23 questions on her math test correct she got 29 of the 32 questions on her science test correct on which test did she get a higher score can you compare the fractions 21/23 and 29/32 by comparing 29 and 21 explain how can Julie compare her scores
Answer:
Math was higher
Step-by-step explanation:
Her math score percentage wise was 91 while science a 90 21 out of 23 is better than 29 out of 32
I cannot do this help me to this
The corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
What are Similar Triangles?If two triangles are similar to each other, their corresponding interior angles measures would be congruent to each other, while their corresponding side lengths would be proportional to each other.
Angle R = 55°
Angle T = 45°
Angle S = 180 - 55 - 45 = 80°.
Angle U = 55°
Angle V = 75°
Angle W = 180 - 55 - 75 = 50°
Thus, we can state that, the corresponding angles of both triangles are not congruent to each other, therefore: B. ΔRST is not similar to ΔUVW.
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to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
If u answer this question i will give brainlyest and 40 marks
Answer:
Adjacent sides.
Step-by-step explanation:
Answer:
To construct a rectangle, you must have the measurement of one side and it's adjacent side.
Step-by-step explanation:
to construct a rectangle you must have one side and :
(1) it’s opposite sides
(2) it’s adjacent sides
(3) two angles
(4) four angles
Joe ran 400 meters in 1.5 minutes and 800 meters in 3 minutes. Is there a proportional relationship between number of meters Joe ran the number of minutes he ran?
The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).
To determine whether or not a relationship is proportional, we can see if two given ratios are the same.
Solving the QuestionWe're given:
Joe ran 400 meters in 1.5 minutes Joe ran 800 meters in 3 minutesThese pieces of information are ratios. We can write them in the following format:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
We can see if they're equivalent by finding a common denominator.
Multiply the first ratio by [tex]\dfrac{2}2[/tex]:
[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]
The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.
AnswerYes, there is a proportional relationship.
76,161,555 rounded to the nearest ten million
Answer:
80,000,000
Step-by-step explanation:
76,161,555 is higher then 75,000,000 so it must round up.
Answer: 80,000,000
Step-by-step explanation:
since it's the ten million place you look at place value behind which is the millions place you see if the number is above or below 5. For this instance, since 6 is larger or above 5 you would round up. So, instead of 76,161,555 it would be 80,000,000
Estimate the quotient by first rounding each number.
0.0355 ÷ 2
Answer:
0.01775
Step-by-step explanation:
The function f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all real numbers greater than or equal to −1 Mark this and return Save and Exit Next
Step-by-step explanation:
all real numbers greater than our equal to -1.
as the parabola function is y = something in x², the parabola opens up either up or down.
if the function would have been x = something in y², the parabola would open left or right.
but our parabola here opens therefore up and down.
the vertex is therefore the maximum or minimum of the parabola. y does not get larger or smaller than the y value of the vertex.
as we see that the curve goes through points with y value 0 (which is clearly larger than -1), it means the vertex is a minimum, and the parabola opens up.
therefore the answer at the beginning. any y value of the function can only be greater than or equal to -1.
Josie has a 1,364-page book to read over summer vacation. She wants to read the
same number of pages each day for 62 days. What is the total number of pages
Josie will need to read each day?
A. 28
B. 27
C. 22
D. 17
Given f(x)=x²-3x+ 3, find the value(s) for x such that f(x) = 13
The solution set is
Answer:
putting values,
13*13-3*13+3
=169-39+3
=133
A rectangular piece of metal is 5 in. longer than it is wide. Squares with sides 1 in. long are cut from the four corners, and the
flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 56 in.³?
The equation which shows the volume of rectangular box is w² + 5w - 56 = 0.
What is defined as the rectangle?A rectangle is a two-dimensional (2D) shape with opposite sides that are parallel as well as equal to each other and four right angles.
The breadth (width) of a rectangle is the shorter side, and the length is the longer side.
The metal's length is 5 inches longer than its width. However, we fold up 1-inch flaps on every side, resulting in a 1-inch box height and an 2-inch decrease in length and width (1 inches on each side). Because the length and width both decrease in the same amount, the length remains 5 inches longer than that of the width.Then, the equations are as follows:
l = w + 5
The height of the box will be 1 inch which is cut and folded upward.
vol = l x w x h = 56 in³
Substitute the value of l in the equation.
56 = (w + 5)(w)(1)
56 = w² + 5w
w² + 5w - 56 = 0
Therefore, the equation which represent the volume of the rectangular box on 56 in.³ is w² + 5w - 56 = 0.
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A game show airs on television five days per week. Each day, a prize is randomly placed behind one of two doors. The contestant wins the prize by selecting the correct door.
The probability that exactly 2(two) out of the 5(five) contestants win a prize is 31.25%.
What is probability?
Probability is the(one) branch of mathematics concerning numerical descriptions of how probable a (one) event is to do, or how likely it's that a(one) proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.The more advanced the probability of an event, the more likely it's that the event will do. A simple illustration is the tossing of a fair( unprejudiced) coin. Since the coin is fair, the two issues(" heads" and" tails") are both inversely probable; the probability of" heads" equals the probability of" tails"; and since no other issues are possible, the probability of either" heads" or" tails" is 1/2( which could also be written as 0.5 or 50).The probability that exactly 2(two) out of the 5(five) contestants win a price is given by,
P(x = 2)(two) = 5/16
This is equivalent (equal) to 31.25%.
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Consider the following linear program.
Min 3A + 4B
s.t.
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
Answer:
Minimum z =22 at A =6, B=1
See the graph below variable A is on the horizontal axis and variable B on the vertical axis
Step-by-step explanation:
We can solve using the graphical method
Min z = 3A + 4B
s.t.
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
Draw two lines using the constraint equations
1A + 3B = 9
1A + 1B = 7
The feasible region for the inequality constraints is the region that satisfies all 4 constraints below
1A + 3B ≥ 9
1A + 1B ≥ 7
A, B ≥ 0
This is the heavily shaded region in the graph. The minimum will be at one of the corner points
There are three corner points on the graph
(0,7), (6,1) and (9,0)
Plug in these coordinate values with A being the first and B being second in the parentheses and see which set of values makes the objective function the minimum
Point (7,0) ==> z = 3(0) + 4(7) = 28
Point (6,1) ==> z = 3(6) + 4(1) = 22
Point (9,0) ==> z = 3(9)+4(0) = 27
Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work
The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
Given two equations 1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12
Solving the above equations
1) 6x-10≤8
⇒6x ≤ 18
⇒X≤ 3
⇒x ≤ 3 i.e. x ∈ (-infinity,3]
2)[tex]\frac{x}{3}[/tex]+6 > 12
⇒[tex]\frac{x}{3}[/tex] > 6
⇒x>18
⇒ x > 18 i.e. x ∈ (18,infinity)
Therefore,The value of x in 1st equation is x ≤ 3 i.e. x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e. x ∈ (18,infinity)
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Any help would be appreciated.
What is that for?
??????????????????????????????????????????????????????????????????????
What percent of the days were sunny?
Solve the problem please.
∑ Hey, shadowwolf9764 ⊃
Answer:
x = - 7.5
Step-by-step explanation:
Given:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Solution~:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}\left(x+5\right)[/tex]
Distribute:
[tex]\frac{1}{5}x+\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}[/tex]
Subtract 1/4 from both sides:
[tex]\frac{1}{5}x+\frac{1}{4}-\frac{1}{4}=\frac{1}{2}x+\frac{5}{2}-\frac{1}{4}[/tex]
[tex]\frac{1}{5}x=\frac{9}{4}+\frac{1}{2}x[/tex]
Subtract 1/2x from both sides:
[tex]\frac{1}{5}x-\frac{1}{2}x=\frac{9}{4}+\frac{1}{2}x-\frac{1}{2}x[/tex]
[tex]-\frac{3}{10}x=\frac{9}{4}[/tex]
Multiply both sides by 10:
[tex]10\left(-\frac{3}{10}x\right)=\frac{9\cdot \:10}{4}[/tex]
[tex]-3x=\frac{45}{2}[/tex]
Divide both sides by -3:
[tex]\frac{-3x}{-3}=\frac{\frac{45}{2}}{-3}[/tex]
x = -15/2
x = -7.5
xcookiex12
9/4/2022
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A rectangle has a length of 3x+ 1 and a width of 2x - 9 write an expression for the perimeter of the rectangle
Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.
What is the expression for the perimeter of the rectangle?The perimeter of rectangle is expressed as;
P = 2( l + w )
Where l is length and w is width.
Given the data in the question;
Length l = 3x+ 1Width w = 2x - 9Plug the given values in the equation above
Perimeter = 2( l + w )
Perimeter = 2( (3x+ 1) + ( 2x - 9) )
We can go on and simplify.
Perimeter = 2( (3x+ 1) + ( 2x - 9) )
Perimeter = (6x+ 2) + (4x - 18)
Perimeter = 6x+ 2 + 4x - 18
Perimeter = 10x - 16
Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.
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Ross has $2 and $5 notes.
There are 15 more $2-notes than $5-notes.
The total amount of $5-notes is $90 more than the total amount of $2-notes.
What is the total value of all the $5-notes that Ross has?
p.s. get the qn right i will mark u brainliest
By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.
What is the total value of all the $5-notes that Ross has?
Let's define the variables:
x = number of $5-notes that Ross has.y = number of $2-notes that Ross has.We know that there are 15 more $2-notes than $5-notes, then:
y = x + 15
And the total amount of $5-notes is $90 more than the total amount of $2-notes.
x*5 = 90 + y*2
Then we have a system of equations:
y = x + 15
x*5 = 90 + y*2
Replacing the first equation into the second one we get:
x*5 = 90 + (x + 15)*2
Now we can solve this for x:
x*5 = 90 + x*2 + 30
5*x - x*2 = 90 + 30
3*x = 120
x = 120/3 = 40
x = 40
In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:
40*$5 = $200
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help out plsssssssssssssss
Answer: as a decimal 1.6
as a fraction 8/5 hope this helps
Step-by-step explanation:
PLEASE HELP thank you
Answer:
I'm pretty sure the answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3, and the product of those 2 numbers is 84 and 90 is the closest number so that should be the answer :)
Answer:
The answer is 90
Step-by-step explanation:
27.7 rounded up is 28 and 2.8 rounded up is 3 so 28 times 3 is 84 and the closest number to 84 is 90
may anyone please help me with math
Answer:
In decimal
[tex] - 2.8[/tex]
As fraction
[tex] \frac{ - 14}{5} [/tex]
And as mixed fraction
[tex] - 2 \frac{4}{5} [/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex]f(x) = \frac{x - 8}{x + 11} [/tex]
Thus, plug in -6 in the variable x and solve
[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]
solve -6-8 = -14
solve -6+11 = 5
[tex] = \frac{ - 14}{5} [/tex]
Apply fraction rule
[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]
Thus
[tex] = - \frac{14}{5} [/tex]
Convert iimproper fraction to mixed fraction .
[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]
[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]
whereas
[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]
[tex] = - 2 \frac{4}{5} [/tex]
Hope it helps !!!
Two adjacent angles are in the ratio 5 ratio 3 and they together form an angle of 128 degree find these angles
Answer:
The angles are 80° and 48°.==============================
Let the angles be x and y.
Their ratio is 5/3:
x/y = 5/3Their sum is 128:
x + y = 128Solve the system by substitution:
x = 5y/3x + y = 1285y/3 + y = 1288y/3 = 128y = 3*128/8y = 48Find x:
x = 128 - 48 = 80