Can you roll the equation for a linear relationship shown below y=-3x +4 iF X equals seven what is the value of Y

X percent of 36 is 45 then the value of x is.

kogti [31]

Answer:

x=125

Step-by-step explanation:

use the formulae of percentage,

x% . 36 =45

x

------ . 36 = 45

100

solve the question by express x

x = 4500

--------

36

x =125

4 0

4 years ago

Read 2 more answers

There are n questions on a multiple choice exam, and for each question, there are four choices. To pass the exam, one must corre

irinina [24]

Answer:

a) 0.352% probability of the student passing

b) 5

c) 1.875

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student answers it correctly, or he answers it wrong. The probability of correctly answering a question is independent from the probability of correctly answering 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.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

For each question, there are four choices.

One choice is correct, so $p = \frac{1}{4} = 0.25$

a. Find the probability of the student passing for n = 10.

0.7*10 = 7

This is $P(X \geq 7)$ when $n = 10$

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031$

$P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004$

$P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} = 0.00002$

$P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \cong 0$

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0.00002 = 0.00352$

0.352% probability of the student passing

b. Find the expected number of questions answered correctly for n = 20.

Here we have n = 20. So

$E(X) = np = 20*0.25 = 5$

c. Find the variance for the number of questions answered correctly for n = 10.

Here we have n = 10.

$V(X) = np(1-p) = 10*0.25*0.75 = 1.875$

5 0

4 years ago

Prove sin^2 theta-sin^2 theta is sin tetha sin 3 theta<br><br>how to prove..pls help!! thanksss

Artemon [7]

Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.

or

using a^2 - b^2 =(a+b)(a-b)

= sin(2x+x)sin(2x-x)
= sin 3x sin x

3 0

3 years ago

A crew of highway workers paved 1/5 mile in 1/8

Dmitry_Shevchenko [17]

Answer: 2/5 Step-by-step explanation: The easiest approach is to realize that one hour is 3 times longer than 20 minutes. The longer the time, the more they will pave.

6 0

2 years ago

Which expression shows how 6 • 45 can be rewritten using the distributive property?

tatuchka [14]

6*45=270 is the first step you should do to get the answer you are looking for. The next thing I would do is go to all the answers to see which one comes out the same way. The first one comes to be 246, the next one is 54, the next is 270 and the last one is 220. 6*40+6*5 is the correct answer.

4 0

4 years ago