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1 year ago

The graph shows the cube root parent function.

Mathematics

1 answer:

diamong [38]1 year ago

8 0

Considering the graph of the cube root parent function, it is found that the correct statement is given by:

D. It is always increasing.

<h3>When a function is increasing?</h3>

A function is increasing when the vertical axis of the graph gets higher as we move the horizontal axis from left to right.

In this problem, the above statement is true for the entire function, hence option D is correct.

More can be learned about functions at brainly.com/question/25537936

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Please help I’ll mark you as brainliest if correct

adell [148]

Do my home work so ya we landing at loot lake

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2 years ago

Two machines are used for filling glass bottles with a soft-drink beverage. The filling process have known standard deviations s

stellarik [79]

Answer:

a. We reject the null hypothesis at the significance level of 0.05

b. The p-value is zero for practical applications

c. (-0.0225, -0.0375)

Step-by-step explanation:

Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.

Then we have $n_{1} = 25$ , $\bar{x}_{1} = 2.04$ , $\sigma_{1} = 0.010$ and $n_{2} = 20$ , $\bar{x}_{2} = 2.07$ , $\sigma_{2} = 0.015$ . The pooled estimate is given by

$\sigma_{p}^{2} = \frac{(n_{1}-1)\sigma_{1}^{2}+(n_{2}-1)\sigma_{2}^{2}}{n_{1}+n_{2}-2} = \frac{(25-1)(0.010)^{2}+(20-1)(0.015)^{2}}{25+20-2} = 0.0001552$

a. We want to test $H_{0}: \mu_{1}-\mu_{2} = 0$ vs $H_{1}: \mu_{1}-\mu_{2} \neq 0$ (two-tailed alternative).

The test statistic is $T = \frac{\bar{x}_{1} - \bar{x}_{2}-0}{S_{p}\sqrt{1/n_{1}+1/n_{2}}}$ and the observed value is $t_{0} = \frac{2.04 - 2.07}{(0.01246)(0.3)} = -8.0257$ . T has a Student's t distribution with 20 + 25 - 2 = 43 df.

The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value $t_{0}$ falls inside RR, we reject the null hypothesis at the significance level of 0.05

b. The p-value for this test is given by $2P(T$ 0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.

c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)

$(\bar{x}_{1}-\bar{x}_{2})\pm t_{0.05/2}s_{p}\sqrt{\frac{1}{25}+\frac{1}{20}}$ , i.e.,

$-0.03\pm t_{0.025}0.012459\sqrt{\frac{1}{25}+\frac{1}{20}}$

where $t_{0.025}$ is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So

$-0.03\pm(2.0167)(0.012459)(0.3)$ , i.e.,

(-0.0225, -0.0375)

8 0

2 years ago

Sam will spend at most $27 on gifts. So far, he has spent $18. What are the possible additional amounts he will spend? Use c for

Assoli18 [71]

Answer:$9

Step-by-step explanation:

Let the additional amount be c

Total amount to spend on gift is $27

He had spent $18 so far

$18+c= $27

C= $27-$18

C=$9

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2 years ago

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Numbers and expressions written in scientific notation are often used to represent measurement in a real-life situations. For ea

never [62]

1. My friend’s house is about (value) from mine
2. My bedroom is (value) sq ft
3. My fish tank holds (value)
4. I ran (value) this year!
5. The national park in my state is (value)

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2 years ago

Read 2 more answers

A computer sells for $ 900 $900dollar sign, 900 and loses 30 % 30%30, percent of its value per year. Write a function that gives

Kazeer [188]

Answer:

The value of the computer is given by $900(0.7)^{t}$ .