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3 years ago

Please help!! I will award brainliest!

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

$m\angle A = 112 \degree$

$m\angle B=95 \degree$

$m\angle C =68 \degree$

$m \angle D = 85 \degree$

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle. So, ABCD is a cyclic Quadrilateral.

Opposite angles of cyclic quadrilateral are supplementary.

Therefore,

$m\angle A + m\angle C = 180\degree \\ (14z - 7) \degree + (8z) \degree = 180 \degree \\ (14z - 7 + 8z) \degree= 180 \degree \\ (22z - 7) \degree= 180 \degree \\ 22z - 7 = 180 \\ 22z= 187 \\ z = \frac{187}{22} \\ z = 8.5 \\ \\ m\angle A = (14z - 7) \degree \\ = (14 \times 8.5 - 7) \degree \\ = (119 - 7) \degree \\ m\angle A = 112 \degree \\ \\ m\angle C =180 \degree - 112 \degree \\ m\angle C =68 \degree \\ \\ m \angle D = (10 \times 8.5) \degree \\ m \angle D = 85 \degree \\ \\ m\angle B =180 \degree - 85 \degree \\ m\angle B=95 \degree$

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A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib

Jet001 [13]

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 502, \sigma = 115$

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

$Z = \frac{590 - 502}{115}$

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

$Z = \frac{400 - 502}{115}$

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

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2 years ago

Three math questions

OlgaM077 [116]

Answer:

1. A is d=1.75

Step-by-step explanation:

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3 years ago

Read 2 more answers

Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (1 point) 3 4 13 22

olga_2 [115]

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

$4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3$

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2 years ago

5/6w+21=-1/3(2w-9).

oksian1 [2.3K]

I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:

5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167

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4 years ago

What is an equation of the line that passes through the points ( 0,-7) and ( 5, -1)

tresset_1 [31]

Answer:

y = 5/6x - 5.167

y = 5/6x - 31/6

Step-by-step explanation:

The equation of a line

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Given points

( 0 , -7) ( 5 , -1)

x1 = 0

y1 = -7

x2 = 5

y2 = -1

Insert the values into the equation

m = -1 - (-7) / 5 - 0

m = -1 + 7 / 5

m = 6/5

y = 6/5x + c

Step 2: sub any of the two points given into the equation

y = 5/6x + c

( 5 , -1)

x = 5

y = -1

-1 = 5/6(5) + c

-1 = 5*5/6 + c

-1 = 25/6 + c.

c = -1 - 25/6

LCM = 6

c = -6 - 25 / 6

c = -31/6

c = -5.167

Step 3: sub c into the equation

y = 5/6x + c

y = 5/6x - 31/6

y = 5/6x - 5.167

The equation of the line is

y = 5/6x - 5.167

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3 years ago