What is the midpoint for (-10,3) and (-3,-4)

4vir4ik [10]

Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.

Write the formula. Volume=π⋅radius2⋅height.

Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.

Solve the equation for the variable.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha

leva [86]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=410$ represent the number of people indicating that their financial security was more than fair for the recent year

$X_{2}=245$ represent the number of people indicating that their financial security was more than fair for the year before

$n_{1}=1000$ sample 1 selected

$n_{2}=700$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of indicating that their financial security was more than fair this year

$p_{2}=\frac{245}{700}=0.35$ represent the proportion estimated of indicating that their financial security was more than fair the year before

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+245}{1000+700}=0.385$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

7 0

3 years ago

£3 is €4. <br> Convert £30 to euros.

makvit [3.9K]

40 euros if u convert it

7 0

2 years ago

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Tasya [4]

Answer:area of the circle=πr²

3.14 =3.14 ×r²

r²= 1

r. =1 millimeters

6 0

3 years ago

What two numbers add to 13 but multiply to negative 12?

Phoenix [80]

9514 1404 393

Answer:

13.8654599313 and -0.8654599313

Step-by-step explanation:

If one of the numbers is x, then the other is 13-x, and their product is ...

x(13 -x) = -12

x^2 -13x = 12 . . . . multiply by -1 and simplify

x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square

(x -6.5)^2 = 54.25

x -6.5 = √54.25

x = 6.5 +√54.25 ≈ 13.8654599313

and the other number is ...

13 -x = 13 -13.8654599313 = -0.8654599313

The two numbers are 13.8654599313 and -0.8654599313.

3 0

2 years ago