Evaluate (2.0 x 10^-4) x (3.0x10^-3

The results of Accounting Principals’ latest Workonomix survey indicate the average American worker spends $1092 on coffee annua

Nataly_w [17]

Answer:

a)

Group 18-34 years old

$\bar x = 1041.625 \\ s^2=485301 \\ s=696.635$

Group 35-44 years old

$\bar x = 1359.5 \\ s^2=178548 \\ s=422.549$

Group 45 and older

$\bar x = 1414.375 \\ s^2=18292.27 \\ s=135.248$

b)

According to the sample there is 9.04% probability that a person between 18 and 34 consume less than the average, 47.74% probability that a person between 35 and 44 consume more than the average and 50% probability that a person older than 45 consume more than the average.

Step-by-step explanation:

a)

The mean for each sample is

$\bar x=\frac{\sum_{k=1}^{10}x_k}{10}$

where the $x_k$ are the data corresponding to each group

The variance is

$s^2=\frac{\sum_{k=1}^{10}(\bar x-x_k)^2}{9}$

and the standard deviation is s, the square root of the variance.

Group 18-34 years old

$\bar x = 1041.625 \\ s^2=485301 \\ s=696.635$

Group 35-44 years old

$\bar x = 1359.5 \\ s^2=178548 \\ s=422.549$

Group 45 and older

$\bar x = 1414.375 \\ s^2=18292.27 \\ s=135.248$

b)

Let's compare these averages against the general media established of $1,092 by using the corresponding z-scores

$z=\frac{\bar x-\mu}{s/\sqrt{n}}$

where

$\bar x$ = mean of the sample

$\mu$ = established average

s = standard deviation of the sample

n = size of the sample

z-score of Group 18-34 years old

$z=\frac{1041.625-1092}{696.635/\sqrt{10}}=-0.2286$

The area under the normal curve N(0;1) between -0.2286 and 0 is 0.0904. So according to the sample there is 9.04% probability that a person between 18 and 34 consume less than the average.

z-score of Group 35-44 years old

$z=\frac{1359-1092}{422.5491/\sqrt{10}}=2.0019$

The area under the normal curve N(0;1) between 0 and 2.0019 is 0.4774. So according to the sample there is 47.74% probability that a person between 35 and 44 consume more than the average.

z-score of Group 45 and older

$z=\frac{1414.375-1092}{135.2489/\sqrt{10}}=7.5375$

The area under the normal curve N(0;1) between 0 and 7.5375 is 0.5. So according to the sample there is 50% probability that a person older than 45 consume more than the average.

3 0

4 years ago

For what values of b will f(x) = logb x be a decreasing function?

musickatia [10]

The answer to this is 0<b<1

4 0

3 years ago

Read 2 more answers

As many as 60,000 bees can live in 3 cubic feet of space. There are about 360,000 bees in a rectangular obveservation beehive th

MakcuM [25]

1 foot because

2 times 3 = 6

60,000 times 6 = 360,000

4 0

4 years ago

Which of the following translations is needed to carry ΔEFG onto its image ΔE'F'G'?

zhannawk [14.2K]

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

<h3>What is the transformation rule for the translation of a triangle?</h3>

Herein we see the triangle EFG and the triangle E'F'G', result of the translation of the former triangle.

A triangle is generated by three non-collinear points. Translation is a kind of rigid transformation and there is a translation if and only if each pair of related points is related to one and same translation vector:

T(x, y) = P'(x, y) - P(x, y) (1)

Where:

P(x, y) - Original point
P'(x, y) - Resulting point

Now we proceed to check if the triangle E'F'G' is the result of a translation:

T₁(x, y) = E'(x, y) - E(x, y)

T₁(x, y) = (- 9, 4) - (- 5, - 7)

T₁(x, y) = (- 4, 11)

T₂(x, y) = F'(x, y) - F(x, y)

T₂(x, y) = (- 7, 8) - (3, - 3)

T₂(x, y) = (- 4, 11)

T₃(x, y) = G'(x, y) - G(x, y)

T₃(x, y) = (- 2, 3) - (2, - 8)

T₃(x, y) = (- 4, 11)

The transformation rule needed to generate the triangle E'F'G' is (x, y) → (x - 4, y + 11).

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

6 0

2 years ago

What is the average time for the toy car to move 1.0 m on dirt? 20.2 s, 24.4 s, 28.1 s or 60.7 A student collected data about th

KATRIN_1 [288]

Answer:

1) Incomplete question

2) Scatterplot

Step-by-step explanation:

1) The question is incomplete. To calculate the average time required for the toy car to move, the formula to be used will be

velocity = distance ÷ time

Hence; time = distance ÷ velocity

2) There are two variables in the question; the distance (it takes the ball to fall) and the time. The type of graph (from the option) that can have two variables represented on it is a scatterplot.

5 0

3 years ago

Read 2 more answers