(25 points) What is the value of k? Please explain your answer

A survey found that 12 out of every 15 people in the United States prefer eating at a restaurant over cooking at home. if 400 pe

Snezhnost [94]

12 $x$ = 400

$x$ = $\frac{400}{12}$

15 $x$ = 15 * $\frac{400}{12}$

$x$ = 500.

∴ 500 people took the survey

5 0

3 years ago

Read 2 more answers

the larger triangle is a dilation of the smaller triangle with a center of dilation at (2,-1). Whatbis the scale factor of the d

leva [86]

I think it’s 2. You can see this because if you count the squares in the smaller triangle it is 3 along. You would then need to double the amount of squares on all sides. This makes the larger triangle now 6 squares along. 6/3 is 2 making the scale factor 2. (This is only if I have read the question correctly and we are calculating small to big. If I have read it wrong and it is big to small it would be 1/2)

5 0

3 years ago

Casey ran out of time while taking a multiple-choice test and plans to guess on the last 101010 questions. Each question has 555

Soloha48 [4]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

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

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

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

7 0

3 years ago