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3 years ago

Jim is M years old. His daughter is 21 years yonger than him. How old is Jim's daughter. Express your answer in terms of M.

Mathematics

1 answer:

Gre4nikov [31]3 years ago

5 0

Answer: M - 21

Step-by-step explanation:

Since his daughter is 21 years younger than he is (M) all you have to do is take his age and subtract 21 (how many years older he is) to get her age.

At first this might seem difficult because you don't know what M is equal to but in the context of this question you don't need to know M.

If you're ever stuck just give an imaginary number to M such as 50.

If you take 50 and subtract 21 you get 29, this makes sense because his daughter is of course younger than him.

You can also use this tatic to solve problems like x+3=x/2 (or something like that) just to check and make sure that the two equations do equal each other.

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What is 12/42 when you simplify it

VashaNatasha [74]

First of all, to simplify a number/fraction, you must find a common multiple.
Both 12 and 42 is divisible by 6
$\frac{12}{42}$ = $\frac{2}{7}$ since 6 goes into 12, two times and goes into 42, 7 times. The answer is $\frac{2}{7}$ when simplified.

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3 years ago

Read 2 more answers

A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

balu736 [363]

Answer:

$P(X \ge 1) = 0.509$

$P(X \ge 1) = 0.6807$

Step-by-step explanation:

From the question we are told that

The number of students in the class is N = 20 (This is the population )

The number of student that will cheat is k = 3

The number of students that he is focused on is n = 4

Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally probability mass function is mathematically represented as

$P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}$

Here C stands for combination , hence we will be making use of the combination functionality in our calculators

Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

Here

$P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ 1 * 2380}{ 4845}$

$P(X \le 0) = 0.491$

Hence

$P(X \ge 1) = 1 - 0.491$

$P(X \ge 1) = 0.509$

Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

$P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]$

Here n = 6

$P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}]$

$P(X \ge 1) =1- [ \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}]$

$P(X \ge 1) =1- [ \frac{1 * 12376}{38760}]$

$P(X \ge 1) =1- 0.3193$

$P(X \ge 1) = 0.6807$

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3 years ago

What is the sum of the 6th square number and the 1st cube number?

Firdavs [7]

Answer:

Step-by-step explanation:

6th square number is 6 and 6² = 36

first cubed number is 1 and 1³ = 1

36+1=37

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2 years ago

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Mkey [24]

Answer:

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Step-by-step explanation:

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