A man made reservoir is filled in 15 days by 4 piples,if 4 pipes are used ,how long will it take to fill the reservoir

Which of the following statements is true about the given function?

Maslowich

I think the answer is c

4 0

3 years ago

Read 2 more answers

A soccer coach bought some new uniforms and cleats for his team.

natka813 [3]

Uhhhh i cant answer this without details

7 0

3 years ago

Question 18

ira [324]

Answer:

The function which represents this sequence will be:

$a_n=-15n+110$

Hence, option (A) is true.

Step-by-step explanation:

Given the sequence

$95, 80, 65, 50, ...$

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$80-95=-15,\:\quad \:65-80=-15,\:\quad \:50-65=-15$

As the difference is the same, so

$d = -15$

as

$a_1=95$

Thus, substituting $d = -15$ , $a_1=95$ in the nth term of an arithmetic sequence

$a_n=a_1+\left(n-1\right)d$

$a_n=-15\left(n-1\right)+95$

$a_n=-15n+110$

Therefore, the function which represents this sequence will be:

$a_n=-15n+110$

Hence, option (A) is true.

6 0

3 years ago

What is the perimeter of triangle ABC?

ddd [48]

Answer: 24 units.

Step-by-step explanation: Count out how many units long AB is. AB goes from -3 to 3, for a length of 6 units.

Count out how long AC is. AC goes from 4 to -4, for a length of 8 units.

To find BC, use the Pythgorean theorem (a^2+b^2=c^2). 8^2 is 64, and 6^2 is 36. Add 64 and 36 to get 100. Then find the square root of 100, which is 10.

Add all the lengths. 6+8+10=24.

8 0

3 years ago

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

andrezito [222]

Answer:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=44$ represent the sample mean

$s=1.9$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =42$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 42, the system of hypothesis would be:

Null hypothesis: $\mu \leq 42$

Alternative hypothesis: $\mu > 42$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.

3 0

3 years ago