For what value of c is the relation a function?

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

Answer:

The null and alternative hypothesis are:

There is not enough evidence to support the claim that the company is worng and less than 90% of all orders are mailed within 72 hours after they are received.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The company's claim is the null hypothesis, the claim that is going to be tested is if this proportion is significantly less than 90%.

Then, the null and alternative hypothesis are:

The significance level is 0.05.

The sample has a size n=150.

The sample proportion is p=0.86.

The standard error of the proportion is:

Then, we can calculate the z-statistic as:

This test is a left-tailed test, so the P-value for this test is calculated as:

\text{P-value}=P(z<-1.497)=0.0672

As the P-value (0.0672) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that less than 90% of all orders are mailed within 72 hours after they are received.

Final answer:

The null hypothesis is that 90% of all orders are shipped within 72 hours, denoted as H0: p = 0.90. The alternative hypothesis is that less than 90% of all orders are shipped within 72 hours, expressed as HA: p < 0.90.

Explanation:

In hypothesis testing, the null hypothesis represents the theory that has been put forward, either because it is believed to be true or because it is used as a basis for argument. In this case, the null hypothesis would be that 90% of all orders are shipped within 72 hours. This can be formulated as H0: p = 0.90 where p represents the proportion of all orders shipped within 72 hours.

The alternative hypothesis on the other hand is the hypothesis used in hypothesis testing that is contrary to the null hypothesis. Here, the alternative hypothesis would be that less than 90% of all orders are shipped within 72 hours. It can be expressed as HA: p < 0.90 where p remains the proportion of orders shipped within 72 hours.

Learn more about Hypothesis Testing here:

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Answer:

Step-by-step explanation:

1:50

2m:1.5m

The solution is, 600g of pasta cost £ 0.9.

What is division?

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

Pasta costs £1.50 per kg.

now we have to find,

How much does 600g of pasta cost

we know,

1 kg = 1000 grm.

so, we get,

1000 g Pasta costs £1.50

so, 1 g  Pasta costs £1.50/1000

so, 600 g  Pasta costs £1.50/1000 * 600

                                     = £ 0.9

Hence, The solution is, 600g of pasta cost £ 0.9.

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Answer:

  B.  135

Step-by-step explanation:

For ...

• f(x) = 3x^2 -x
• g(x) = 2x -5

f(5) = 3·5^2 -5

   = 3·25 -5 = 75 -5 = 70

Then g(f(5)) is ...

  g(f(5)) = g(70) = 2·70 -5 = 140 -5

  g(f(5)) = 135 . . . . . matches choice B