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3 years ago

In the figure shown, ABCD is a parallelogram, AC = 16, and BD = 30 inches determine BC.

1 answer:

7 0

If it looks like this:

A -------------------- B
| |
| |
| |
C -------------------- D

Then BC is the hypotenuse of a right triangle with sides 16 and 30. Using the Pythagorean Theorem you can solve for the length of the hypotenuse:

$h^2 = 16^2 + 30^$
$h= \sqrt{256+900}$
$h =34$

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Use proportions to solve the following problem. A recipe calls for 4 eggs and 3 cups of milk. To prepare for a larger number of

dybincka [34]

Answer:

16.5 cups of milk are needed.

Step-by-step explanation:

i hate you for reporting my answer.

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3 years ago

There are four $20 bills, five $10 bills, seven $5 bills, and four $1 bills in your wallet. You select one bill at random. What

coldgirl [10]

The expected value is to get either a $5 bill or a $10 bill because of it has more of it's kind in the wallet.

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3 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

7 0

4 years ago

Read 2 more answers

Determine which windsurfer is traveling faster. EXPLAIN YOUR REASONING 5meters per second or 720 feet per minute.

alexdok [17]

The first windsurfer is travelling faster. Solution:
1 meter = 3.28084 feet
The first surfer travels at 5 meters/second so you have to multiply 3.28084 by 5 which equals 16.4042 ft/second
There are 60 seconds in a minute so you will have to multiple 16.4042 ft/second by 60 seconds which equals 984.252 ft/minute

984.252 ft/minute > 720 ft/minute

5 0

3 years ago

A simple random sample of size n=10 is obtained from a population that is normally distributed with a mean of 40 and a standard

Eva8 [605]

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx = 40

σ x = σ√n = 3/√10 = 0.9487

μ x = 4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

Learn more about sampling distribution here:- brainly.com/question/12892403

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3 0

2 years ago