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Mumz [18]
3 years ago
9

Which of the following is a solution of x2 − 8x = –27?

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

Its 4 plus i square root of eleven

Step-by-step explanation:

Sergeu [11.5K]3 years ago
4 0
Its 4 plus i square root of eleven 
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Consider the equation y = 3x - 1. Identify the slope and y-intercept and
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Answer: slope=3

           y intercept :(0, -1)

Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept

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Question 8<br> A scuba diver descends 13 feet and then another 20 feet. What is his final position?
xz_007 [3.2K]

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The cost of a canoe rental is $15 deposit plus $6 per hour.The total rental cost is​
Scrat [10]

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its 90

Step-by-step explanation:

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3 years 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
Please help!!! Will give Brainliest!!! A standard large pizza is cut into 10 slices. What is the sector area of one slice of lar
Aleks [24]

Answer:

See work below

Step-by-step explanation:

The area of a large pizza cut into 10 slices with be 20 square inches. This is from taking the area of a large 200.96 and dividing by 10.

The large pizza will always be cheaper because of economies of scale.

5 0
3 years ago
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