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Scilla [17]
3 years ago
13

Please help it’s asking the perimeter to the nearest tenth

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Pythagoras theoram? use it here!

That is,

  • H² = B² + P²

H² = 15² + 4²

H² = 225 + 16

H = √241

H = 15.5

You should opt for 15.5

P.S: Best of luck for your test! ;))

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SOLVE THE PROPORTION BELOW <br>8/x = 2/3<br>x=<br>A. 10<br>B. 9<br>C. 11<br>D. 12
Fynjy0 [20]
The correct answer is D.12
7 0
3 years ago
Read 2 more answers
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 me it’s for homwork
notsponge [240]
System b should be (-3,2)!
7 0
3 years ago
In ΔOPQ, o = 9.2 cm, p = 2.4 cm and ∠Q=37°. Find the length of q, to the nearest 10th of a centimeter.
storchak [24]

The length of q, to the nearest 10th of a centimeter is 7.6 cm.

Given in question,

In ΔOPQ,

o = 9.2 cm

p = 2.4 cm

∠Q = 37°

Cosine formula ⇒ cos θ = \frac{o^{2}+p^{2}-q^{2}  }{2op}

Putting the values in equation,

       cos 37 = \frac{(9.2)^{2}+(2.4)^{2}-q^{2}  }{2*9.2*2.4}

         0.799 = \frac{84.64 + 5.76-q^{2} }{44.16}

0.799*44.16 = 90.4 - q^{2}

         32.28 = 90.4 - q^{2}

                q^{2} = 90.4 - 32.28

                q^{2} = 58.12

                 q = \sqrt{58.12}

                 q = 7.63

q = 7.6 cm (to nearest 10th)

Hence, length of q is 7.6 cm.

Learn more about length on:

brainly.com/question/8552546

#SPJ1

3 0
2 years ago
What is the completely factored form of 2x2 – 32?
dimaraw [331]

Thank you for letting me help :)

4 0
3 years ago
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