Solve 8.2ws 29.52. Which of the following must be true abo

Find the value of y so that WX is perpendicular to YZ

Alexxandr [17]

step 1

Find out the slope WX

W(2,-3) and X(-4,9)

m=(9+3)/(-4-2)

m=12/-6

m=-2

step 2

Find out the slope YZ

Y(5,y) and Z(-1,1)

m=(1-y)/(-1-5)

m=(1-y)/-6

m=(y-1)/6

step 3

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

that means

(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2

solve for y

2y-2=6

2y=6+2

2y=8

8 0

6 months ago

Plz help.

zvonat [6]

$x-\ the price \ of \ the \ gift \ \\ \\ 10\% \ of \ x= \frac{10}{100}*x= \frac{1}{10}*x=\frac{x}{10}- the \ discount \\ \\x^{(10} -\frac{x}{10}= \frac{10x-x}{10}= \frac{9x}{10} -the \ new \ price \ \\ \\4*9.00 \$=36 \$ -the \ price \ after \ discount \\ \\ \frac{9x}{10}=36 =>x=\frac{10*36}{9} \\ \\ \boxed{x=40 \$}$

the variant A.$40.00

5 0

2 years ago

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

2 years ago

Madison has 3 quarts of juice she gave each of her friends 2 1/2 cups of juice how many cups does Madison have left

Temka [501]

Answer:

0

Step-by-step explanation:

It is zero because Madison friends were not specified(number)

8 0

2 years ago

The cost table shows the average cost, a(x), of producing x number of earbuds.

Tasya [4]

Answer:

a

Step-by-step explanation:

7 0

3 years ago