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2 years ago

The angle measurements in the diagram are represented by the following expressions.

Mathematics

2 answers:

Contact [7]2 years ago

6 0

Answer:

x = 8

∠B = 70°

Step-by-step explanation:

∠A = ∠B through alternate exterior angles.

∠A = ∠B

8x + 6 = 4x + 38

8x - 4x + 6 = 38

4x + 6 = 38

4x = 38 - 6

4x = 32

x = 32 ÷ 4

x = 8

∠B = 4x + 38

4(8) + 38

32 + 38

= 70

Mama L [17]2 years ago

4 0

Answer: 70

Step-by-step explanation:

8x+6=4x+38

4x=32

x=8

<B=4x+38=4*8+38=70

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Answer:

$\large\boxed{y=\dfrac{3}{2}x-1}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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We have

$m=\dfrac{3}{2},\ b=-1$

Substitute:

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

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Step-by-step explanation:

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solniwko [45]

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Step-by-step explanation:

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2 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Alex17521 [72]

Answer:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

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$X \sim Binom(n=8, p=0.9)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And for this case we want to find this probability:

$P(X \geq 7) = P(X=7) +P(X=8)$

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

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2 years ago

Read 2 more answers

PLEASE HELP ME FAST!!!! ( It's about y-intercept)

Hoochie [10]

Answer:

y = 6x -7

Step-by-step explanation:

1. The equation of any line in slope-intercept form is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Given that the slope is 6, we plug that value in m, and given that the y-intercept is -7, we plug that value in b:

y = mx + b
y = 6x - 7

5 0

2 years ago