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MaRussiya [10]
2 years ago
6

Kate father is 50 years old and kate is 24 years old now. How many years ago was kates father three times as old as her

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer:

11

Step-by-step explanation:

50-x=3(24-x)

50-x=72-3x

2x=22

x=11years ago when kate's father was 3 times as old as kate=11

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Select the factors of x^2 - 12x + 36.
yulyashka [42]
(x-6)(x-6)

Because this equals x² - 6x - 6x +36 which equals x²-12x+36
8 0
3 years ago
The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency
choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution 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.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when n = 29, p = 0.78. So

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

P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

P = (0.78)^{7}*0.22 = 0.0386

3.86% probability that the first woman is reached on the 8th call

4 0
3 years ago
What is g(x)?
Vera_Pavlovna [14]

C

Step-by-step explanation:

This has a U like shape so it a parabola.

Parabola correlate with quadratic functions

y =  {ax}^{2}  + bx + c

Since it Going down, the answer is C -x^2.

3 0
3 years ago
What is the area as a product and area as a sum of (x + 2)(x + y – 2) ?
Brilliant_brown [7]

Answer:

4y

Step-by-step explanation:

3 0
3 years ago
Which is a perfect square?<br> 0 5<br> 0 8<br> 36<br> 44
Liono4ka [1.6K]

Answer:

C) 36

Step-by-step explanation:

Because 6^2=6*6=36.

3 0
3 years ago
Read 2 more answers
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