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adell [148]
3 years ago
10

Write the equation of circle on if the radius is 7 and the center is (-11,12)

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
(x + 11) *squared* +(y-12) *squared* = 49
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The graph shows the cost per day of electricity over a seven-day period.
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A. Negative. You’re welcome
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Simplify: (4xy)^0 please help
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If this trapezoid is moved through the translation (x-1,y+1) what will the coordinates of A' be
elena-s [515]

If the traslation is T(x,y)=(x-1,y+1) then:

T(-6,2)=(-6-1,2+1)=(-7,3)

Therefore A'=( -7,3).

6 0
1 year ago
A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01
slavikrds [6]

Answer:

a) z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

b) For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

\hat p=\frac{174}{594}=0.293 estimated proportion of yellow peas

p_o=0.23 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

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 true proportion of yellow peas is 0.23:  

Null hypothesis:p=0.23  

Alternative hypothesis:p \neq 0.23  

When we conduct a proportion test we need to use the z statisitc, 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{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

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=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>3.649)=0.00026  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

b) Critical value

For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

5 0
3 years ago
Find the volume pleaseeee
Svetlanka [38]

Step-by-step explanation:

first do the triangle : 11 times 6 divided by 2 equals

33

the formula for a triangle is base times height divided by 2

now multiply 33 x 2  = 66because there is another triangle at the back.

now do 6 x 8 to find the sides that equal to 48

do 48 x 2 because there are 2 sides

now do the base : 11x8 = 88

for final step add all the answers together

66 + 48 + 88 answer is =

202

PLEASE MARK BRAINLIEST I PUT IN ALOT OF TIME FOR This

Hope it helps :)

4 0
2 years ago
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