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True [87]
2 years ago
12

Can someone help me on this pls? It’s urgent, so ASAP (it’s geometry)

Mathematics
1 answer:
SashulF [63]2 years ago
7 0

<u>Question 2</u>

1) \overline{PR} \perp \overline{QS}, \overline{PQ} \cong \overline{PS} (given)

2) \overline{PR} \cong \overline{PR} (reflexive property)

3) \angle PRQ and \angle PRS are right angles (perpendicular lines form right angles)

4) \triangle PRQ and \triangle PRS are right triangles (a triangle with a right angle is a right triangle)

5) \triangle PRQ \cong \triangle PRS (HL)

Question 3

1) \angle C is a right angle, \overline{AC} \cong \overline{AE}, \overline{DE} \perp \overline{AB} (given)

2) \angle DEA is a right angle (perpendicular lines form right angles)

3) \triangle ACD and \triangle DAE are right triangles (a triangle with a right triangle is a right angle)

4) \overline{AD} \cong \overline{AD} (reflexive property)

5) \triangle ACD \cong \triangle AED (HL)

6) \angle CAD \cong \angle DAE (CPCTC)

7) \overline{AD} bisects \angle BAC (if a segment splits an angle into two congruent parts, it is an angle bisector)

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Marcus needs 108 inches of wood to make a frame. How many feet of wood does Marcus need for the frame?
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Read 2 more answers
A minority representation group accuses a major bank of racial discrimination in its recent hires for financial analysts. Exactl
erma4kov [3.2K]

Answer:

a) 0.16

b) 0.0518

c) P(p \leq 0.15) = 0.4247

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have that the mean is \mu = p and the standard deviation is \sigma = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

p = 0.16, n = 50

a. Find the mean of p, where p is the proportion of minority member applications in a random sample of 2100 that is drawn from all applications.

The mean of p is 0.16.

b. Find the standard deviation of p.

\sigma = \sqrt{\frac{0.16*0.84}{50}} = 0.0518

c. Compute an approximation for P ( p leq 0.15), which is the probability that there will be 15% or fewer minority member applications in a random sample of 2100 drawn from all applications. Round your answer to four decimal places.

This is the pvalue of Z when X = 0.15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.15 - 0.16}{0.0518}

Z = -0.19

Z = -0.19 has a pvalue of 0.4247

P(p \leq 0.15) = 0.4247

3 0
3 years ago
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