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Sergio039 [100]
2 years ago
7

Help plzzzzzzzzzzz I will give branniest

Mathematics
1 answer:
Agata [3.3K]2 years ago
4 0

Answer:

Set 1 Angle A is 90

Set 1 Angle B is 45

Set 2 Angle B is 15

Set 2 Angle C is 90

2)

Set 1 Angles A and C are both 62

Set 2 Angles B and D are both 120

Step-by-step explanation:

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suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio
djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question:

\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\mu = \mu_X - \mu_Y = 45 - 35 = 0

\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

Z = \frac{0 - 10}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0
3 years ago
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the poin
mrs_skeptik [129]
The equation is y=-3/4(x-3)^2-7
6 0
2 years ago
Solve the given system by the substitution method. <br>3x + y = 14 <br>7x - 4y = 20​
Eva8 [605]

Answer:

(4, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 14 → (1)

7x - 4y = 20 → (2)

Rearrange (1) making y the subject by subtracting 3x from both sides

y = 14 - 3x → (3)

Substitute y = 14 - 3x into (2)

7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side

7x - 56 + 12x = 20

19x - 56 = 20 ( add 56 to both sides )

19x = 76 ( divide both sides by 19 )

x = 4

Substitute x = 4 into (3) for corresponding value of y

y = 14 - 3(4) = 14 - 12 = 2

solution is (4, 2 )

8 0
2 years ago
Read 2 more answers
passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
goblinko [34]

Answer:

       Equation of line , 5x + 3y = 0

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by \frac{y_2-y_1}{x_2-x_1}

Here points are given by (-3,0) and (-6,5)

Slope=\frac{5-0}{(-6)-(-3)}=\frac{-5}{3}

The slope of parallel lines are same. So slope of required line =\frac{-5}{3}

Equation of a line with slope m passing through origin is given by

                    y =mx

               So equation of line, y=\frac{-5}{3}x\\\\3y=-5x\\\\5x+3y=0

Equation of line , 5x + 3y = 0

4 0
2 years ago
Read 2 more answers
PLEASE HELP Determine W and X in Circle M
e-lub [12.9K]

your answer will be

w=<u>16°</u>

X=<u>148°</u>

Step-by-step explanation:

hope it helps you

have a great day!!

8 0
2 years ago
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