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ASHA 777 [7]
3 years ago
7

Ill mark as brainlest plz help me

Mathematics
1 answer:
Nady [450]3 years ago
5 0

Answer:

a) 46° b) 66° c) 4 cm

Step-by-step explanation:

a) because it is isosceles triangle, therefore, 2 opposite angles, and angle sum of triangle is 180 so 180-67-67=46

b) because again, isosceles triangle so two opposite sides,

x+x+48=180

2x=132

x=66

c)because it is equilateral, so therefore all angles are 60 degrees and all sides equal.

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Answer:

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3 years ago
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In preparation for an earnings report, a large retailer wants to estimate p= the proportion of annual sales
mr Goodwill [35]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The sample size and the estimate are given by:

n = 161, \pi = \frac{37}{161} = 0.2298

Hence:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 - 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.1648

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2298 + 1.96\sqrt{\frac{0.2298(0.7702)}{161}} = 0.2948

The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).

More can be learned about the z-distribution at brainly.com/question/25890103

5 0
2 years ago
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IRINA_888 [86]

Note: Consider "÷" sign instead of "=".

Given:

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It can be written as

=\dfrac{x^3-3x^2+5x-3}{x-1}

Splitting the middle terms, we get

=\dfrac{x^3-x^2-2x^2+2x+3x-3}{x-1}

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Taking out the common factor (x-1), we get

=\dfrac{(x-1)(x^2-2x+3)}{x-1}

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Therefore, the correct option is D.

7 0
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Natali [406]

Answer:

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