Help ( i need to show my work)!!!

The vertices of xyz are x(-3,-6), Y(21,-6), and z(21,4). What is the perimeter of the triangle

xxTIMURxx [149]

Note that this a right-angled triangle with the right angle at Y.

Use coordinates of the point to find XY and YZ 

XY = 21 - (-3) 

= 24 

YZ = 4 - (-6) 

= 10 

Use Pythagoras theorem to XZ 

XZ = sqrt[24^2 + 10^2] 

= 26 

Perimeter = 26 + 24 + 10 

= 60

8 0

3 years ago

Read 2 more answers

Roger makes 70 gallons of pink paint by mixing red and white paint. He uses 21 gallons of red and 49 white. What percent of pink

klemol [59]

Answer:

30%

Step-by-step explanation:

In this case, we do not need to regard the amount of white paint. That information is just to confuse you.

The amount of red paint in the pink paint mixture can be represented by the fraction 21/70. All you have to do is simplify that to get 0.3, which is also represented as 30%. hope this helps :)

3 0

3 years ago

What is the scale factor of the dilation? Show work please!!

umka21 [38]

Answer:

1/3

Step-by-step explanation:

To find the scale factor write a ratio from the side length of the small triangle to a corresponding side length of the large triangle.

C'B' has the distance 3 units and CB has the distance 9 units.

The ratio then is 3/9 = 1/3. So the scale factor is 1/3 because it is shrinking the larger triangle to the smaller as shown by the ' marks on the letters.

8 0

3 years ago

Log8 +logy =1 Plz help

Alexeev081 [22]

Answer:

y = 1.25

Step-by-step explanation:

log8 + logy = 1

logy =1 - log8

logy = 0.0969

y = 1.25

5 0

4 years ago

According to a Pew Research Center study, in May 2011, 35% of all American adults had a smart phone (one which the user can use

taurus [48]

Answer:

$z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82$

$p_v =P(z>1.82)=0.034$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

$\hat p=\frac{120}{300}=0.4$ estimated proportion of college students that have a smart phone

$p_o=0.35$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is >0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

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

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.1$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>1.82)=0.034$

So the p value obtained was a very low value and using the significance level given $\alpha=0.1$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis

And the best conclusion would be:

There is enough evidence to show that more than 35% of community college students own a smart phone (Pvalue = 0.034).

And for the second case the correct system of hypothesis is:

H0: p = 0.078; Ha: p > 0.078

4 0

3 years ago