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ivann1987 [24]
1 year ago
8

presentation?pin=NCUF7 #co Gigel Munter.com - Fr. Ruslar Merajuiceshoot (1500) Pert C Cheve Petar Problem 1 Complete the missing

angle measures given that Cand we are parallel. Explain your thinking with written notes or an explanation in a text box. 37°
Mathematics
1 answer:
hammer [34]1 year ago
3 0

The angle A=180-37=143 degrees

and the angle B is equal to the angle A because l and m are parallel line then B=143 degrees

angles C and D are equal to A and B too, then C=D=143 degrees

angles G, E and F are equal to the given angle because they are opposite by the vertex and alternal internal, then G=E=F=37 degrees

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The College Boards, which are administered each year to many thousands of high school students, are scored so as to yield a mean
Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

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Step-by-step explanation:

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

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\mu = 500, \sigma = 100

a. Greater than 600

This is 1 subtracted by the pvalue of Z when X = 600. So

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

1 - 0.8413 = 0.1587

15.87% of the scores are expected to be greater than 600.

b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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

Z = \frac{700 - 500}{100}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% of the scores are expected to be greater than 700.

c. Less than 450

Pvalue of Z when X = 450. So

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85% of the scores are expected to be less than 450.

d. Between 450 and 600

pvalue of Z when X = 600 subtracted by the pvalue of Z when X = 450. So

X = 600

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

Z = \frac{600 - 500}{100}

Z = 1

Z = 1 has a pvalue of 0.8413.

X = 450

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

Z = \frac{450 - 500}{100}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

0.8413 - 0.3085 = 0.5328

53.28% of the scores are expected to be between 450 and 600.

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H= ut -16 t^2

h = 144(2) - 16 (4)

= 288 - 64 = 224
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