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3 years ago

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In a recent survey of 645 working Americans ages 25-34, the average weekly amount spent on lunch as $44.02 with standard deviati

on $2.81. The weekly amounts are approximately bell-shaped.
a. Estimate the percentage of amounts that were less than $38.40. Round the answer to one decimal place. Approximately % of the amounts were less than $38.40.
b. Estimate the percentage of amounts that are between $41.79 and $47.41.
c. Estimate the percentage of amounts that are at least $38.98.
d. Between what two values will approximately 95% of the amounts be?

1 answer:

harina [27]3 years ago

4 0

Answer:

use photo math it's great and free

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PLEASE HELP FAST!! I apologize for the pictures being sideways.

natima [27]

Answer:

a) 180

b) CJ= 5.83095189485

CK= 9.89949493661

CL= 8.0622577483

c) All angles formed by a point and its image, with the vertex at the center of rotation, are congruent. Each point on the original figure is the same distance from the center of rotation as its image.

Step-by-step explanation:

8 0

3 years ago

The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

Please answer this correctly

Darina [25.2K]

72+72+36= 144+36= 180

7 0

3 years ago

Read 2 more answers

The expression 3^2 ∙ 3^n simplifies to 3^20.

tiny-mole [99]

Answer: 18

<u>Step-by-step explanation:</u>

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾ = 3²⁰

2 + n = 20

<u> -2 </u> <u> -2</u>

n = 18

7 0

3 years ago

What is the volume of this Sphere?<br><br> 8 pi cm3<br> 16 pi cm3<br> 27 pi cm2<br> 36 pi cm2

agasfer [191]

Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

6 0

3 years ago