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3 years ago

Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian?

Mathematics

2 answers:

Dimas [21]3 years ago

7 0

Brian and his son are 42. 84/2=42

nevsk [136]3 years ago

5 0

Answer:

Brian = 55

Son = 29

Step-by-step explanation:

Let the ages of Brian and his son be

x +26 and x

Given that :

x + x + 26 = 84

2x + 26 = 84

2x = 58

x = 29.

We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55

Hope this helps.

Good Luck

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

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Problems of normal distributions can be solved using the z-score formula.

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Proportion of students that scored an A:

Scores have a mean of 79 and a standard deviation of 11.3, which means that $\mu = 79, \sigma = 11.3$

Scores of 90 or higher are graded an A, which means that the proportion is 1 subtracted by the p-value of Z when X = 90, so:

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$Z = 0.97$ has a p-value of 0.8340.

1 - 0.8340 = 0.166

The proportion of students that scored an A is 0.166.

Probability that 6 students or more will score an "A" on the final exam:

Binomial distribution.

22 students, which means that $n = 22$

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The probability is:

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

Then

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

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$P(X = 1) = C_{22,1}.(0.166)^{1}.(0.834)^{21} = 0.0807$

$P(X = 2) = C_{22,2}.(0.166)^{2}.(0.834)^{20} = 0.1687$

$P(X = 3) = C_{22,3}.(0.166)^{3}.(0.834)^{19} = 0.2239$

$P(X = 4) = C_{22,4}.(0.166)^{4}.(0.834)^{18} = 0.2117$

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$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.8551 = 0.1449$

Thus

0.1449 = 14.49% probability that 6 students or more will score an "A" on the final exam.

For a problem that used the normal distribution, you can check brainly.com/question/15181104, and for a problem that used the binomial distribution, you can check brainly.com/question/15557838

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3 years ago

Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian? ​

Brian and his son have a total age of 84.Brian is 26 years older than his son .how old is Brian?