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Tamiku [17]
3 years ago
11

True or false : the orgin would be included in the solution set for the inequality y < 2x-5

Mathematics
1 answer:
Levart [38]3 years ago
6 0
False the origin has coordinates (0,0) so x=0 and y=0 if you sub these into the equation you get 0 < 0-5 which isn't true 

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A football team gains 8 yards, looses 15 yards, than gains 20 yards. What was their total yards gained?
Ad libitum [116K]

Answer:

The total yards gained was 13 yards.

Step-by-step explanation:

If you do 8-15+20=13

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Find an equation for the line that passes through the points (3,-4) and (-1,6)
Sladkaya [172]

Answer:

y+4=-5/2(x-3)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(-1-3)

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m=10/-4

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Which fraction below represents 30% in simplest form.?
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g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control
Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that p = \frac{1}{33}

A local hospital randomly selects five births.

This means that n = 5

What is the probability that at least one of the births results in a defect?

This is:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(\frac{1}{33})^{0}.(\frac{32}{33})^{5} = 0.8574

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8574 = 0.1426

0.1426 = 14.26% probability that at least one of the births results in a defect.

4 0
3 years ago
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