The histogram shows the distribution of heights, in inches, of 100 adult men.
6 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
Height (inches)
Based on the histogram, which of the following is closest to the interquartile range, in inches, of the distribution?
2
B
5
9
D
D
12
15

132 in

Step-by-step explanation:

Step-by-step explanation:

Begin by separating the division. Division in the argument of a logarithm function is equivalent to subtracting the log of the numerator and denominator:

[tex]ln( \frac{ {x}^{9} \sqrt{ {x}^{2} + 7} }{ {(x + 7)}^{7} } ) = ln( {x}^{9} \sqrt{ {x}^{2} + 7 } ) - ln(( {x + 7})^{7} )[/tex]

Multiplication under a logarithm means addition:

[tex] ln( {x}^{9}) + ln( \sqrt{ {x}^{2} + 7 }) - ln(( {x + 7})^{7} )[/tex]

Log rules say that exponents can be dragged to the front as coefficients:

[tex]9ln(x) + \frac{1}{2} ln( {x}^{2} + 7) - 7ln(x + 7)[/tex]

Answer:

[tex]V = 1847.26\ ft^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V=\pi r^2h[/tex]

[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]

[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]

[tex]V = \pi * 588\ ft^3[/tex]

[tex]V = 1847.26\ ft^3[/tex]

Answer:   [tex]V = 1847.26\ ft^3[/tex]

Answer:

Step-by-step explanation:

volume

Answer:

A= 3/2, B = 1, C = -14

Step-by-step explanation:

Using the point-slope form we can plug in your point and slope.
[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-3/2(x-(-8))[/tex]

[tex]y+2=-3/2(x+8)[/tex]

Distribute -3/2

[tex]y+2=-3/2x-3/2*8[/tex]

[tex]y+2=-3/2x-12[/tex]

Get y by itself by subtracting 2 to both side.

[tex]y=-3/2x-14[/tex]

[tex]3/2x+y=-14[/tex]

A = 3/2 , B = 1 , C= -14

Answer:

b

Step-by-step explanation:

He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3

Answer:

144 cubic units

Answer:

It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.

Step-by-step explanation:

Step-by-step explanation:

8. Simple random sample

9. Stratified Sample

10. Convenience Sample

Answer:

picture a is 180⁰ clockwise or counterclockwise (c)

picture b is 90⁰ counterclockwise (b)

Step-by-step explanation:

hope this helps :)

Answer:

A and B

Step-by-step explanation:

The first one is 180 clockwise…

Second picture is 90 counterwise.

I hope thi help and have a good day.

Answer:

∠CED = 58°

Step-by-step explanation:

Clearly, we can see that ∠AED and ∠CED are a linear pair. Therefore:

Definition of Linear pair: A linear pair is two angles that form a 180 angle.

We are given that:

Therefore, when we substitute the measure of ∠AED, we get;

This problem is now an algebraic problem. Simply isolate ∠CED on one side of the equation to determine the measure of ∠CED. This can be done by subtracting 122 both sides of the equation.

Therefore, the measure of ∠CED is 58°.

The measure of angle CED is 58° adjacent to the angle AED.

A pair of linear angles are adjacent to each other whose sum is 180°.

Given, a measure of the angle AED is 122°

We know the measure of linear pair of angles is 180°.

∴ m∠AED + m∠CED = 180°.

122° + m∠CED = 180°.

m∠CED = 180° - 122°.

m∠CED = 58°.

learn more about linear pairs of angles here :

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Answer:

4th option

Step-by-step explanation:

using the rule of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

then

[tex](5)^{\frac{7}{3} }[/tex] = [tex]\sqrt[3]{5^{7} }[/tex]

Answer:

Step-by-step explanation:

Given

Rule

Here,

So, on subsituting :

Answer:

9/20

Step-by-step explanation:

Answer:

n=14

Step-by-step explanation:

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

Answer:

Answer: 50 percent or 1/2

Answer:

biside of A

Step-by-step explanation:

thats is the answers

Answer:

2 square units

Step-by-step explanation:

just count the squares that go up

To find the area of the trapezoid we need to find the height of the trapezoid.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]

A [tex]\cap[/tex] B denotes to all common elements in both A and B

So

2 is common

Hence

A $\cap$ B={2}

Answer:

P(A ∩ B) = 1/10

Step-by-step explanation:

Given:

We can represent this information in a Venn diagram (see attachment 1).

As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.

Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).

P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.

Therefore, P(A ∩ B) = 1/10

Answer:

To solve the above problem we will use the unitary method as follows

As estimated  If £ 3 is equivalent to € 4

Then, £ 1 will be equivalent to = € \frac{4}{3}

£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311

Now you have to round the answer up to 2 decimal points to get the final answer

€ 86.1311 ≈ € 86.13

Thus, £ 64.60 is approximately equal to  € 86.13.

Step-by-step explanation:

hope this helps if not let me now

If you mean

The graph has been attached

If that modulus sign is typing mistake then

The yielded function is

Both graphs attached

Answer:

20%

Step-by-step explanation:

[tex]\frac{52-65}{65}[/tex] * 100% = -20%

Answer:

Option E) 832.9km2

Step-by-step explanation:

The total area of the circle:

[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]

The proportion of the blank region:

[tex]\frac{(67)(3)}{360} =0.558333[/tex]

Then the proportion of the shaded region is:

[tex]1-0.558=0.441667[/tex]

Extract this proportion from the total area

[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]

Hope this helps

Answer:

You use the most important and sacred tool: ruler

Answer: By measuring with tape or ruler

Step-by-step explanation:

The Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

Vikram drinks 6/10 of a liter of water after gym class and 33/100 hours of a liter of juice with his lunch.

Thus, the total amount he drank is,

[tex]n=\dfrac{6}{10}+\dfrac{33}{100}\\[/tex]

Take the LCM 100, to solve it further,

[tex]n=\dfrac{60+33}{100}\\n=\dfrac{99}{100}\\[/tex]

Now, Vikram says he drank a total of 39/100 of a liter, which is an incorrect claim.

Thus, the Vikram is not correct as he said that he drank a total of 39/100

of a liter in gym class and in his lunch, but he drank a total of 39/100 of a liter.

Learn more about the fraction number here:

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Answer:

94.8 %

Step-by-step explanation:

mean 32   +  1.63   * SD   = 63

Z-score for 1.6316   is .9484     94.8 %  are < 63

Answer:

the answer is w. this is a linear function that is increasing over time.

Step-by-step explanation: