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2 years ago

Identify the independent variable and the dependent variable.

Mathematics

2 answers:

melamori03 [73]2 years ago

3 0

Answer:

Step-by-step explanation:

kvv77 [185]2 years ago

3 0

The amount of money DEPENDS on the number of hours you work . So that means (m) is dependent and (h) is independent

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The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the

agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. 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.

10 items

This means that $n = 10$

5 percent of the items shipped can be defective.

This means that $p = 0.05$

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987$

$P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138$

So the answer is:

0.9138 = 91.38%

4 0

3 years ago

Read 2 more answers

A cube has a surface area of 96 square centimeters. How long is each face of the cube?

netineya [11]

Answer:

I believe the answer would be 4

Step-by-step explanation:

I'm going to use (a) to represent the side length in my explanation. side length is equivalent to the square root of the surface area over 6. The 6 is coming from there being 6 faces on a cube. So to solve this equation, you would first write it out. a=96/6. Next you would divide 96/6, giving you 16. and then lastly, you would find the square root of 16, which is 4. giving you a final answer of 4.

Hope this helps, and you understand it more!

6 0

3 years ago

Which method is the best method for solving the equation?<br> <img src="https://tex.z-dn.net/?f=8x%5E%7B2%7D%20-%2013x%20%2B%203

Paladinen [302]

Answer:

Step-by-step explanation:

Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help

3 0

3 years ago

Evaluate each expression for g = -7 and h = 3 and match it to its value.

Leno4ka [110]

I got 4 but i’m not 100% correct

4 0

3 years ago

Shane has 1/2 pound of cheese to make 4 sandwiches. He wants to use the same amount of cheese in each sandwich. What fraction of

anastassius [24]

Answer:

The fraction of one pound of cheese to be used in each sandwich is 1/8

Step-by-step explanation:

Here, we have a question that requires the method of dealing with the division of fractions.

To divide a fraction by a whole number, we multiply the denominator of the fraction by the whole number as follows;

$\frac{x}{y} \div z =\frac{x}{y\times z}$

Quantity of cheese Shane has = 1/2 pound

Number of sandwiches to be made = 4

Amount of cheese per sandwich = 1/2÷4 = 1/8.

6 0

3 years ago