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2 years ago

According to the data in the figure, find the value of x and y.

Mathematics

1 answer:

drek231 [11]2 years ago

6 0

Answer:

This is a educated guess, but x is 80 and y is 100.

Step-by-step explanation:

My logic here is that the triangles are the same because of all the congruent lines and stuff. But from there, you know that both the right and the left side are 40 degrees. You know the total degree of a triangle is 180 so 180 - 40 - 40 is 100. So the final angle is 100. If you look at x, its on the outside, but on a line. If you can imagine a circle, its half, so its a 180 degrees total. Then its 180 = x + 100. So x is 80. And then by that same logic its y = 100.

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When a new machine is not functioning properly, 15% of the items produced are defective. Assume that we will randomly select 5 p

cestrela7 [59]

Answer:

P(X<=2) = 0.9736

Step-by-step explanation: Please find the attached file for the solution

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3 years ago

A group of friends wants to go to the amusement park. They have no more than $150

algol [13]

Answer: 17.75p + 8 ≤ 150 OR p ≤ 8

Step-by-step explanation:

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2 years ago

Philip ran out of time while taking a multiple-choice test and plans to guess the last 4 questions. Each question has 5 possible

White raven [17]

Using the binomial distribution, it is found that there is a 0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

Considering that there are 4 questions, and each has 5 choices, the parameters are given as follows:

n = 4, p = 1/5 = 0.2.

The probability that he answers exactly 1 question correctly in the last 4 questions is P(X = 1), hence:

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

$P(X = 1) = C_{4,1}.(0.2)^{1}.(0.8)^{3} = 0.4096$

0.4096 = 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

8 0

2 years ago

Is anyone good at statistics

masya89 [10]

Im taking stats right now i might be able to help.

4 0

3 years ago

Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizz

Karolina [17]

We have been given that Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.

To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.

$\text{Number of pizzas}=1\frac{7}{8}\div \frac{1}{5}$

$\text{Number of pizzas}=\frac{15}{8}\div \frac{1}{5}$

Now we will convert our division problem into multiplication problem by flipping the 2nd fraction.

$\text{Number of pizzas}=\frac{15}{8}\times \frac{5}{1}$

$\text{Number of pizzas}=\frac{75}{8}$

$\text{Number of pizzas}=9\frac{3}{8}$

We are asked to find the number of full pizzas and we can see that Morgan can make 9 full and $\frac{3}{8}$ pizzas.

Since there are 9 full pizzas, therefore, Morgan can make 9 full pizzas with the amount of cheese she has.

3 0

3 years ago