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kherson [118]
3 years ago
12

Which of the following is not a solution to the system of linear equations below? 5y=3x+15 6x=10y-30 A. (5, 6) B. (–15, 12) C. (

0, 3) D. (–10, –3)
Mathematics
1 answer:
Alecsey [184]3 years ago
7 0
Option B is not a solution.

5y=3x+15
5(12)=3(-15)+15
60=-45+15
60≠-30


Hope I didn't mess up for your sake!
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The value of y varies directly with x. If x = 6, then y = 27. What is the value of y when x = 10 ?
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B - 45 because 27 divided by 6 is 4.5 and then 10x4.5=44
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2 years ago
X3 - 3x^2- 54x + 112
Olegator [25]

Answer:

(x -2) (x- 8) (x+7)

Step-by-step explanation:

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2 years ago
What is an equivalent decimal for 6.0250?
Iteru [2.4K]

decimal from 6.0250 to 60250. is moving it four decimal places, so that is the same as multiplying by 1 followed by four zeros). This means that an equivalent fraction is 60250 / 10000.

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2 years ago
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

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using the z score table and evaluating, we obtain

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4 0
3 years ago
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar
murzikaleks [220]

Answer:

(a) 896

(b) 1000

(c) 910

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}

896

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}

1000

(c)1 man and 1 woman refuse to serve together.

Ways = Total ways - Both man and woman are select who refuse the serve together

^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}

910

6 0
3 years ago
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