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cluponka [151]
3 years ago
10

Solve the equation.

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

4-2(x+7)=3(x+5)

Distribute:

4-2*(x)-2*(7)=3*(x)3*(5)

Simplify

4-2x-14=3x+15

Simplify each side by combining like terms

-2x-10=3x+15

Add 10 to both sides

-2x-10+10=3x+15+10\\-2x=3x+25

Subtract 3x from both sides

-2x-3x=3x-3x+25\\-5x=25

Divide both sides by -5

\frac{-5x}{-5} =\frac{25}{-5} \\x=-5

Done

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The CDC reported in 2012 that 1 in 88 American children had been diagnosed with an autism spectrum disorder (ASD).
gladu [14]

Answer:

Poisson Distribution , P(x<2) = 0.1446

Step-by-step explanation:

This is a binomial distribution question with

sample space, n = 300

probability of diagnosed with ASD, p = 1/88 = 0.0114

probability of not diagnosed with ASD, q = 1 - p = 0.9886

Mean, m is given as np = 300 * 0.0114 = 3.42

variance, v = npq = 300 * 0.0114 * 0.9886 = 3.38101

standard deviation, s = square root of variance = 3.38101^(0.5) = 1.83875

This binomial distribution can be approximated as Poisson Distribution since

n > 20 and p < 0.05

For a Poisson Distribution

P(X = x) = [e^(-m) * m^(x)]/ x!

b) x = 2

P(X < 2) = P(X = 0) + P(X = 1)

using the z score table and evaluating, we obtain

P(x<2) = 0.1446

4 0
3 years ago
4.26 as a decimal in simplest form
Bess [88]
You can not put a decimal to a decimal.So you meant to put a decimal to a fraction and the answer would be: 4.26 as decimal fraction = 426/100
6 0
3 years ago
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Jason's meeting starts at 3 p.m. and is 270 miles away. He estimates that he can average 60 miles per hour. What time should he
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Answer:

He should leave by 10:30 a.m

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3 years ago
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