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3 years ago

Which statements are correct? Check all that apply.?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

(A) The rate of change is 5

(D) The plant grows 4 cm in 1 week

Step-by-step explanation:

just got it right on edge

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State University uses thousands of fluorescent light bulbs each year. The brand of bulb it currently uses has a mean life of 600

Ipatiy [6.2K]

Answer:

The test statistic is t = 2.5.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

Step-by-step explanation:

Mean life of 600 hours. Test if it is more.

At the null hypothesis, we test if the mean is of 600 hours, that is:

$H_0: \mu = 600$

At the alternative hypothesis, we test if the mean is of more than 600 hours, that is:

$H_1: \mu > 600$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

600 is tested at the null hypothesis:

This means that $\mu = 600$

Suppose 100 bulbs were tested and found to have a mean of 625 hours with a standard deviation of 100.

This means that $n = 100, X = 625, s = 100$ .

Value of the test-statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{625 - 600}{\frac{100}{\sqrt{100}}}$

$t = 2.5$

The test statistic is t = 2.5.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 625 hours, which is a right-tailed test, with t = 2.5 and 100 - 1 = 99 degrees of freedom.

Using a t-distribution calculator, this p-value is of 0.007.

The p-value of the test is of 0.007 < 0.05, which means that the evidence supports the manufacturer's claim at the .05 significance level.

4 0

3 years ago

Find the inverse of f(x)=1-5/2x

Varvara68 [4.7K]

F^-1(x)=1+5×2x
I hope this helps

3 0

3 years ago

Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How many sweets are there altogether?

Aliun [14]

9514 1404 393

Answer:

Step-by-step explanation:

Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.

There are 60 sweets altogether.

_____

They are divided as ...

Gavin: 20
Colin: 25
Dan: 15

8 0

3 years ago

The temperature inside the lab refrigerator is at most 35 Fahrenheit used to represent the temperature in fahrenheit of the refr

wel

Complete question is;

Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 45 °F. Use t to represent the temperature (in °F) of the refrigerator.

Answer:

t ≤ 45 °F

Step-by-step explanation:

We are told to use t to represent the temperature (in °F) of the refrigerator.

We are also told that the temperature inside the lab refrigerator is no more than 45 °F.

For the temperature inside the refrigerator to be no more than 45 °F, it means the temperature should be either less than or equal to 45 °F

Thus means that t is less than or equal to 45 °F.

Thus, it can be represented in terms of inequality as;

t ≤ 45 °F

6 0

4 years ago

There are 6 white and 3 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen. Enter your answers as fracti