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3 years ago

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Goldbach’s conjecture states every even number greater than 2 can be written as the sum of two prime numbers which sum for 30 su

pports this conjecture ?
A. 15+15
B. 12 + 18
C. 17 + 13
D. 2+28

1 answer:

wolverine [178]3 years ago

3 0

The answer is c trust me it is c trust me the answer is c just trust me it is c

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Simplyfy this complex fraction. <br> 5/6 divided by 1 1/4

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Answer:

2/3

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Which equation below is a direct variation?

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70% of a number is 98.

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Let 70% of X = 98

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4 years ago

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The zeros of a function are 2,-3i, and 5i. What are it x intercepts and its factors?

Alexeev081 [22]

Step-by-step explanation:

The real intercept is (x-2)

The imaginary intercepts are

(3i,0) (-3i, 0) (-5i,0) (5i, 0)

The factors are

(x - c)

(x - (-3i) = (x+3i)

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3 years ago

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

ddd [48]

Answer:

We conclude that the valve performs above the specifications.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 6.3 pounds per square inch

Sample mean, $\bar{x}$ = 6.5 pounds per square inch

Sample size, n = 130

Alpha, α = 0.02

Population standard deviation, σ = 0.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 6.3\text{ pounds per square inch}\\H_A: \mu > 6.3\text{ pounds per square inch}$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{6.5 - 6.3}{\frac{0.8}{\sqrt{130}} } = 2.85$

Now, $z_{critical} \text{ at 0.02 level of significance } = 2.05$

Decision rule:

If the calculated statistic is greater than the the critical value, we reject the null hypothesis and if the calculated statistic is lower than the the critical value, we accept the null hypothesis

Since,

$z_{stat} > z_{critical}$

We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.

Thus, we conclude that the valve performs above the specifications.

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3 years ago