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andrezito [222]
3 years ago
14

Solve the combined inequality

Mathematics
2 answers:
natta225 [31]3 years ago
6 0

Answer:

6.72<x<10.08

Step-by-step explanation:

multiply 1.12 and 6 for the low end

multiply 1.12 and 9 for the high end

Inessa05 [86]3 years ago
3 0

Answer:

6.72<=X<=10.08

Step-by-step explanation:

6*1.12<=X<=9*1.12

We put 6*1.12 because that is the least she would pay, putting it into the lower end.

We put 9*1.12 because that is the most she would pay, putting it into the higher end.

6.72<=X<=10.08

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The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b?
denis23 [38]

Answer:

88

Step-by-step explanation:

x2+bx+16=0

4x2+16x4+16=0

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Tay–Sachs Disease Tay–Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carri
BARSIC [14]

Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which 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 probability that their offspring will develop the disease is approximately .25.

This means that p = 0.25

Three children:

This means that n = 3

Question a:

This is P(X = 3). So

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

P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

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

P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

p = 0.75*0.75*0.25 = 0.1406

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

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Answer:

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Step-by-step explanation:

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d=√40

d=6.324555

D=Distance*

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3 years ago
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