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2 years ago

Let's say you have 6 lbs of apples for $12.96. What is the unit price? (Meaning, what is the cost of 1 pound of apples?)

Mathematics

1 answer:

lara [203]2 years ago

7 0

Answer:

$2.16 per pound

Step-by-step explanation:

First, you would need to divide the price by the amount

$12.96 / 6 lbs = $2.16 per pound

That is the unit price

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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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.

5% of calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

If (5, 4) and (7,2) are the endpoints of a diameter of a circle, what is the equation of the circle?

STatiana [176]

Answer:

(x -6)^2 +(y -3)^2 = 2

Step-by-step explanation:

The midpoint (C) is the center of the circle:

C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)

A circle with center (h, k) that goes through point (a, b) can be written as ...

(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2

Using the values for this problem, we get ...

(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2

(x -6)^2 +(y -3)^2 = 2

8 0

3 years ago

Read 2 more answers

Explain why any of the four operations (+x +) placed between the two terms 5 and-3/(radical sign) 8 will result in an irrational

kompoz [17]

To answer this question we will have to understand the nature of $\sqrt{8}$ .

$\sqrt{8}$ can be rewritten as: $\sqrt{2\times 2\times 2} =2\sqrt{2}$ . Now, $\sqrt{2}$ is an irrational number and thus any of the four operations of addition, multiplication, subtraction or division placed anywhere between any of these terms will always result in an irrational number.