If 5^2x+1 = 96, Then find x

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It

Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 450 gram

Sample mean, $\bar{x}$ = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

$\sigma^2 = 256\\\sigma = \sqrt{256} = 16$

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25$

Now,

Degree of freedom =

$=n-1 = 16-1=15$

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .

5 0

3 years ago

The net of a prism is shown on the coordinate plane. What is the surface area of the prism?

nata0808 [166]

Answer:

Option C. 10 square inch

Step-by-step explanation:

Net of a prism is shown on the coordinate plane. We have to calculate the surface area of the prism.

To calculate the surface area of the net we will calculate the area of the four large rectangles and two squares given in the picture.

Total surface area of the net = 2× small squares + 4×large rectangles

= 2×(1×1) + 4×(1×2) = 2 + 8 = 10 square inch.

Therefore option C. 10 square inch is the answer.

6 0

3 years ago

Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 18. Write V in component f

Umnica [9.8K]

Answer:

11.57 units east, 13.79 units upwards

11.57i + 13.79j

Step-by-step explanation:

V = 18 units at an angle of 50° to the positive x-axis

In component Form, this is how each component is calculated

a = 18cos50° = 11.57 units east

b = 18sin50° = 13.79 units upwards

check if your answer is correct

$\sqrt{11.57^{2} +13.79^{2} } = 18.0$

In vector component form ai + bj = 11.57i + 13.79j

7 0

3 years ago

Question 1(Multiple Choice Worth 4 points)

Anastaziya [24]

I don't think it's a proportional relationship because it doesn't go the origin...im not sure,Let me know

4 0

3 years ago

Read 2 more answers

Initially, the ratio of Ed’s toy cars to Pete’s toy cars was 5:2. After Ed gave 30 toy cars to Pete, they each had an equal numb

Burka [1]

So here is the answer. Initially, Ed's toy cars compared to Pete's toy cars was 5:2. So for every 5 cars that Ed has, Pete has 2. Now that Ed gave 30 cars to Pete. So here it goes. The total number of ratio units is 5+2=7, so each will have an equal number if they both have 3.5 ratio units. That is, if Ed transfers to Pete 1.5 ratio units, their car counts will be equal. Thus 1.5 ratio units = 30 cars, or 1 ratio unit = 20 cars. Therefore, this makes <span> 7*20 cars = 140 cars.
</span>Hope this helps.

6 0

3 years ago