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3 years ago

12

The number sentence 4x6=6x4 is an example of what property

1 answer:

Nikitich [7]3 years ago

4 0

Commutative Property states ab = ba

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Cat face x+4/5=45 sa il aflu pe x

love history [14]

Given:

The equation is

$x+\dfrac{4}{5}=45$

To find:

The value of x.

Solution:

We have,

$x+\dfrac{4}{5}=45$

Isolating the variable, we get

$x=45-\dfrac{4}{5}$

$x=\dfrac{225-4}{5}$

$x=\dfrac{221}{5}$

$x=44.2$

Therefore, the value of x is 44.2.

6 0

3 years ago

A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable

Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of 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.

In this problem we have that:

$n = 14, p = 0.3$ .

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

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

$P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066$

$P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014$

$P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002$

$P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024$

$P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002$

$P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0$

$P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082$

0.0082 = 0.82% probability that he will pass

6 0

3 years ago

Free piont (so this will not get delete) 7x8x3=

SVEN [57.7K]

Answer:

168

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which graph does not represent a function

Marysya12 [62]

Answer:

Graph D

Step-by-step explanation:

it does not pass the linear test to qualify as a function

3 0

3 years ago

Read 2 more answers

It costs a general admission fee of $6 to get into the fair and then $1 for each ride. Which of the following equations would re

joja [24]

Answer:

6+1x=y

Step-by-step explanation:

-just add 6 because you will only pay it once to enter the fair

-place x for the number of rides the person gets on and 1 next to it to multiply

- place Y at the end because we don't know how much the person spent

5 0

3 years ago