The distance between two towns is 90 kilometers. there are approximately 8 kilometers in 5 miles

Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he play

ahrayia [7]

Answer:

a-x=y+25

b-35 minutes

c-nort possible

Step-by-step explanation:

can't explain due to the fact it will take 30m to type up

4 0

2 years ago

A rectangle has length x cm and width 2 cm less

vichka [17]

x^2 - 2x = 146

x^2 - 2x - 146 = 0

See attachment. The quadratic formula is needed in this case.

7 0

3 years ago

Read 2 more answers

Write and equation of the line perpendicular to the given line that contains P

Artyom0805 [142]

If slope of a line is m then slope of the perpendicular line is -1/m .
so slope of perpendicular line is -3.
then use this y-y0=m(x-x0)
y+5=-3(x-2)
y+5=-3x+6
y=-3x+1

8 0

3 years ago

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Concepts and formulas to use

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

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

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:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

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

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

4 years ago

A business that offers and sells financial services to people is.. A deposit B depository institution C commercial bank D saving

butalik [34]

Answer:

C

Step-by-step explanation:

4 0

3 years ago

The distance between two towns is 90 kilometers. there are approximately 8 kilometers in 5 miles​

The distance between two towns is 90 kilometers. there are approximately 8 kilometers in 5 miles