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3 years ago

What percent 21 is of 25

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

The answer is 84

Step-by-step explanation:

convert 21 from 25 into a decimal to get 84

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The table below shows the fifth powers of different numbers:

Lera25 [3.4K]

Part A. Yes, because y=f(x)=x⁵.
Part B. f(4)=2(4)+12=8+12=20.

5 0

3 years ago

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. 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 multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

2 years ago

Can someone help me solve multiple step equations? For example (7t - 2) - (-3t + 1) = -3(1 - 3t)

artcher [175]

Answer:

t = 0

Step-by-step explanation:

(7t - 2) - (-3t + 1) = -3(1 - 3t)

because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally

[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]

will be

7t - 2 + 3t - 1 = -3 + 9t

add like terms

10t - 3 = -3 + 9t

subtract 9t from both sides

t - 3 = -3

add 3 to both sides

t = 0

3 0

2 years ago

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability t

yKpoI14uk [10]

Answer:

75 percent

Step-by-step explanation:

see the thing is

7 0

2 years ago

Your choir has 300 tickets to sell. You are responsible for distributing 10 tickets to each choir member to sell. A - Write an e

Goshia [24]

Answer:

Remaining tickets left to distribute, A = (300 - 10m)

Step-by-step explanation:

a) Let the number of choir members be m

Let the number of tickets remaining after the distribution be A

Each choir member is to get 10 tickets each.

Number of tickets to be given to the members = 10m

original number of tickets = 300

So, number of tickets remaining after distribution, A = 300 - 10m (provided that m ≤ 30)

b) The independent variable in this expression is m (the number of choir members)

And the dependent variable is A (the number of tickets left after the distribution which depends on the number of choir members, m)

Hope this Helps!!!

4 0

3 years ago