MATHEMATICS HIGH SCHOOL

.(1 pt)
A store sold 330 yards of fabric. It charged $11 a yard.

What is the total cost of the fabric?

Answers

Answer 1
Answer: 3630$ I just multiplied 330 by 11 
Answer 2
Answer: Hey there

So 330/11=30
so the total cost is 30 $

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Use a calculator to evaluate csc 3pi/14

Answers

We are asked to evaluate  csc 3pi / 14. We first multiply 3 to pi. pi is a constant and equal to 3.1415. In this case, 3 pi is equal to 9.4248. We divide further the product by 14 equal to 0.6732. csc or cosecant is the inverse of sin. so we get first the sin of 0.6732 in radians equal to 0.6235. csc 3 pi/14 is equal to 1/0.6235 or 1.6. 

Eleni is n years old. In thirteen years she will be twenty four years old-

Answers

Well do 24 - 13.

You should get 11.

N = 11.
The easiest way to solve this is..
N+13=24, which is really 24-13. So n= 11

A pharmaceutical company knows that approximately 5% of its birth-control pills have an ingredient that is below the minimum strength, thus rendering the pill ineffective. What is the probability that fewer than 10 in a sample of 200 pills will be ineffective

Answers

Answer:

The probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

∴ P(X<10)=0.4364

Step-by-step explanation:

Given that the total number of sample pills is 200

ie., n=200

To find  the probability that fewer than 10 in a sample of 200 pills will be ineffective:

Let us assume it success if a pill is ineffective.

The probability of success in each trial is p=5\%

p=5\%

p=(5)/(100)

=0.05

∴ p=0.05

We know that the total probability is p+q=1

The probability of failure is q

q=1-p

q=1-0.05

∴ q=0.95

Let X be the random variable of the number of ineffective pills in a sample of 200 pills.

Hence X has Binomial distribution with parameter n=200 and p=0.05

The formula for Mean in Binomial distribution is

\mu=np

Substitute the values in the above formula we get

\mu=200(0.05)

∴ \mu=10

The formula for Standard deviation in Binomial distribution is

\sigma=√(npq)

Substitute the values in the above formula we get

\sigma=√((200)(0.05)(0.95))

=√(9.5)

=3.082

∴ \sigma=3.082

Now we have to find the probability that fewer than 10 in a sample of 200 pills will be ineffective.

That is to find the area to the left of x=9.5

The formula is z=(x-\mu)/(\sigma)

Substitute the values in the formula we get

z=(9.5-10)/(3.082)

=(-0.5)/(3.082)

=-0.16

∴ z=-0.16

Now P(X<10)=P(Z<-0.16)

=0.4364

∴ P(X<10)=0.4364

Therefore the probability that fewer than 10 in a sample of 200 pills will be ineffective is 0.4364

Final answer:

The probability that fewer than 10 out of 200 birth-control pills will be ineffective is approximately 0.817, or 81.7%.

Explanation:

Probability is a mathematical concept used to quantify the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). It plays a crucial role in statistics and decision-making, helping to predict outcomes, assess risk, and make informed choices. To find the probability that fewer than 10 in a sample of 200 birth-control pills will be ineffective, we can use the binomial probability formula:

P(X < 10) = Σ (n choose k) * p^k * (1-p)^(n-k), where:

n = sample size = 200,

k = number of ineffective pills,

p = probability of a pill being ineffective = 0.05.

Calculating this probability using the formula, we get:

P(X < 10) ≈ 0.817, or 81.7%.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ6

Find the slope of the line y = 9/10x + 3/10

Answers

Answer:

Step-by-step explanation:

To find the slope of the line, we can look at the coefficient of x in the equation. In this case, the coefficient of x is 9/10. Therefore, the slope of the line is 9/10.

I need help! I don’t understand!

Answers

Answer:

33

Step-by-step explanation:

just coint how much is on each side then multiply it by 3

Find the sum. Write in simplest form: 8 1/2 + 4 1/2

Answers

 the answer is 61 bro....
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