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2 years ago

The numbers 2 , 3 , 5 and x have an average equal to 4. What is x?

1 answer:

5 0

X is equal to 6.

Explanation:

This is a mean question. When identifying mean, you all all of the values up and divide by how many values are present. 2 + 3 + 5 = 10. 10 + x (which is 6) = 16. When you divide 16 by 4 (because 2, 3, 5, and x make 4 present values), you get 4 as the average. Therefore, your answer is x = 6.

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Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select

horrorfan [7]

Answer:

The probability is $P(X \le 2 ) = 0.9072$

The company will accept 90.72% of the shipment and will reject $(100 -90.72) = 9.2\%$ of the shipment , so many of the shipment are rejected

Step-by-step explanation:

From the question we are told that

The sample size is n = 36

The proportion that did not meet the requirement is $p = 0.03$

Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as

$P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)]$

=> $P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]]$

Here C stands for Combination (so we will be making the combination function in our calculators )

=> $P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]]$

=> $P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]]$

=> $P(X \le 2 ) = 0.9072$

The company will accept 90.72% of the shipment and will reject $(100 -90.72) = 9.2\%$ of the shipment , so many of the shipment are rejected

8 0

3 years ago

Can you solve and explain the steps you world use in solving 2 step equations?

DaniilM [7]

Step-by-step explanation:

First, add or subtract both sides of the linear equation by the same number.

Secondly, multiply or divide both sides of the linear equation by the same number.

4 0

3 years ago

Simplify | (27x – 45) - (4x – 9).<br> Write your answer in factored form.<br> HELP MEEEEEEEE

oksian1 [2.3K]

Answer:

Step-by-step explanation:

27x - 45 - 4x + 9

23x - 36

7 0

3 years ago

Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4) and the coordinates of M are M(3,-2) find the slopes of side

m_a_m_a [10]

We can start by finding the gradient of LM
$m= \frac{ y_{2}- y_{1} }{x_{2} - x_{1} } = \frac{-2--4}{3-1} = \frac{2}{2}=1$

Two perpendicular lines will meet the requirement $m_{1}$ × $m_{2}$ =-1
Two parallel lines have equal gradients

NM is perpendicular to LM, hence the gradient of NM is -1
KN is a line that is parallel to NM, hence the gradient is 1
KL is perpendicular to LM, hence the gradient of KL is -1

5 0

3 years ago

Read 2 more answers

Explain why the following answer is not correct: 1,000/5=2,000

Tatiana [17]

Well, 1000/5 would be smaller than 2000 not bigger. You are dividing into smaller pieces not multiplying into bigger ones.

7 0

3 years ago