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2 years ago

Matthew is 7 years older than twice the age of his sister. If Matthew is 13, how old is his sister?

2 answers:

8 0

Let sister be s. Matthew, M

Matthew is 7years older than twice the age of his sister

M = 7 + 2s

13 = 7 + 2s. 7 crosses the equality to other side and becomes -7

13 - 7 = 2s

6 = 2s Divide both sides by 2

6/2 = 2s/2

3 = s

Sister is 3 years old.

klio [65]2 years ago

4 0

The answer is a 3. because Matthew is 7 years older than twice the age of his sister. Also Matthew is 13 so the answer is A 3.

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Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

X = the test is positive.

A = a person with the dominant allele

The information given are:

$P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01$

According to the law of total probability the probability of an event A, conditional upon the occurrence of another event B is:

$P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})$

Use this law to compute the probability of person having a positive result as follows:

$P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495$

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

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Answer:

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this means 1 percent is 44

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