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3 years ago

Lesson 1-5. Name the angle(s) in the diagram described by each of the following. Plz help

Mathematics

1 answer:

denis-greek [22]3 years ago

6 0

Answer:

Step-by-step explanation:

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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 .

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3 years ago

An entertainment firm offers several DJ choices and light shows that range in price based on the rental time period. The DJ's co

alexdok [17]

219+159≤x≤369+309
The answer can then be simplified to
378≤x≤678

8 0

3 years ago

Solve the equation 4^3x+2=3

const2013 [10]

Answer:

Exact Form:

x = 1/64

Decimal Form:

x = 0.015625

Step-by-step explanation:

4 0

3 years ago

Given the midpoint of (-10,7) and the endpoint of (5,-3), what is the other endpoint?

xxMikexx [17]

(-25,17)

Hope this helps.

4 0

3 years ago

Two sides of a triangle have lengths 10 and 18. Which inequalities describe the possible lengths for the third side x?

puteri [66]

Let with X is denoted the length of the third side.
For a triangle the following statements must be true:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
This means that this inequality can be written: X<10+18 ,X<28

7 0

4 years ago

Lesson 1-5. Name the angle(s) in the diagram described by each of the following. Plz help​

Lesson 1-5. Name the angle(s) in the diagram described by each of the following. Plz help