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2 years ago

Justify whether the solution makes sense.

Mathematics

2 answers:

frutty [35]2 years ago

8 0

✎ let's answer it 

 $\: \: \: \: \: \: \: \: \: \: \: \: \: \:$ 

it's ↓

( identical triangle)

<h3> by </h3><h2>#galadohannadivine29</h2>

Zigmanuir [339]2 years ago

5 0

Answer:

They are identical triangles.

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

The triangle with 39 and 90 has a missing angle of 51 degrees, and the triangle with 51 and 90 vice versa.

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Which expression should you simplify to find the 90% confidence interval,

bogdanovich [222]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ .

And the critical value is: $z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the true population proportion is interest is given by this formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

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3 years ago

You borrow $600 from a friend the first week and pay the friend back $20 each week there after. Write the first six terms in t

d1i1m1o1n [39]

1st term: 20 dollars
2nd term:40 dollars
3rd term: 60 dollars
4th term:80 dollars
5th term:100 dollars
6th term:120 dollars
I hope this is correct.

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3 years ago

Circle A has an area of 452.16ft2. With a radius of 12 ft. If circle B has a radius of 17 ft, what is it’s area?

ehidna [41]

Answer: 907.92 ft²

Step-by-step explanation:

1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:

$A=r^{2}\pi$

Where r is the radius of the circle.

2. You know the radius of the circle B, therefore, when you susbtitute it into the formula, you obtain that the area of the circle B is:

$A_B=(17ft)^{2}\pi=907.92ft^{2}$

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3 years ago

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vfiekz [6]

Answer:

80°

Step-by-step explanation:

angles in a triangle add up to 180°

70° + 30° = 100°

180° - 100° = 80°

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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