If all dimensions of a rectangular prism are multiplied by 4, which statement is true?

An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the

notsponge [240]

Answer:

We conclude that the daily average revenue was actually $675.

Step-by-step explanation:

We are given that the current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.

A sample of 30 days reveals a daily average revenue of $625.

Let $\mu$ = daily average revenue.

So, Null Hypothesis, $H_0$ : $\mu$ = $675 {means that the daily average revenue was $675}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $675 {means that the daily average revenue was different from $675}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample daily average revenue = $625

$\sigma$ = population standard deviation = $75

n = sample of days = 30

Since, we are given that we have decided not to reject the null hypothesis which leads us to the conclusion that the daily average revenue was actually $675.

3 0

4 years ago

I really need helppppp

JulijaS [17]

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable $x$ and $y$ are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, $(x-8)^2 + (y-8)^2$ shifts the center 8 to the right and up of the origin, $(x+1)^2+(y+4)^2$ shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have $x^2+y^2$ , which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or $8^2$ , so the correct answer would be choice C: $x^2+y^2=8^2$ .

5 0

3 years ago

Each algorithm is applied to a group of 52 sample problems. The new algorithm completes the sample problems with a mean time of

dem82 [27]

Answer:

Therefore we fail to reject the Null hypothesis $H_0$

Because the is no sufficient evidence to support the claim of the alternative hypothesis $H_a$

Step-by-step explanation:

From the question we are told that

Sample size $n_1 =52$

Mean time 1 $\=x_1=24.04\ hours$

Mean time 2 $\=x_2=24.52\ hours$

Standard deviation $\partial _1=5.769$

Standard deviation $\partial _2=5.556$

Level of significance 0.05

The null hypothesis is $H_o: \mu_1=\mu_2$

Alternative hypothesis $H_a: \mu_1$

Generally the test statistics is mathematically represented as

$Z= \frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}$

$Z= \frac{24.04-24.52}{\sqrt{\frac{5.769^2}{52}+\frac{5.5562^2}{52}}}$

$Z= -0.4321583379$

$Z= -0.43$

From Table the Z-critical value at $\alpha =0.05\ is\ -1.6449$

Therefore

Zcal> Zcritical

(-0.43)=(-1.645)

Generally we fail to reject the null hypothesis $H_0$ at $\alpha = 0.05$

Therefore we fail to reject the $H_0$

Because the is no sufficient evidence to support the claim of $H_a$

5 0

3 years ago

Help ?? Anyone and how

ELEN [110]

Answer:

just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5

Step-by-step explanation:

x - 2 = y 3

and so on

7 0

3 years ago

How many different arrangements can be made using all of the letters in the word Iowa?

Alika [10]

1. Check the tree diagram in the attached picture.

2. The first Letter can be one of the letters I, O , W or A. Assume your first letter is I, then you have 3 choices for the second letter, that is O, W or A.

3. Assume you pick O, then you have 2 options for the third letter; W or A.

4. If you pick A, then the last letter can only be W.

5. the path described is the "red line path" in the picture; that is the arrangement IOAW.

6. Another path is the "dashed line path" IAOW.

7. We count 6 "paths", where I is the first letter, each "path" standing for one arrangement.

8. 4*6=24 is the total number of paths, that is arrangements of the letters IOWA.

9. Remark: The first choice is 4, combined (multiplied) by 3 choices for the second letter, combined (multiplied) by 2 choices for the third and finally multiplied by 1.

10. Thus there are 4*3*2*1 arrangements of 4 (different) letters.

5 0

3 years ago