All categories

3 years ago

PLEASE HELP !! ILL GIVE BRAINLIEST EXTRA 40 POINTS DONT SKIP :(( .!

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

Answer:

Alternate Exterior

Step-by-step explanation:

This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.

snow_lady [41]3 years ago

3 0

The answer is b. Alternate interior because they are opposite

You might be interested in

A parking lot is 100 yards long. What is the length of

Effectus [21]

100 yards = 300 feet

1 yard = 3 feet

6 0

4 years ago

The proportion of high school seniors who are married is 0.02. Suppose we take a random sample of 300 high school seniors; a.) F

cricket20 [7]

Answer:

a) Mean 6, standard deviation 2.42

b) 10.40% probability that, in our sample of 300, we find that 8 of the seniors are married.

c) 14.85% probability that we find less than 4 of the seniors are married.

d) 99.77% probability that we find at least 1 of the seniors are married

Step-by-step explanation:

For each high school senior, there are only two possible outcomes. Either they are married, or they are not. The probability of a high school senior being married is independent from other high school seniors. So we use the binomial probability distribution 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.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 300, p = 0.02$

a.) Find the mean and standard deviation of the sample count X who are married.

Mean

$E(X) = np = 300*0.02 = 6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.02*0.98} = 2.42$

b.) What is the probability that, in our sample of 300, we find that 8 of the seniors are married?

This is P(X = 8).

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

$P(X = 8) = C_{300,8}.(0.02)^{8}.(0.98)^{292} = 0.1040$

10.40% probability that, in our sample of 300, we find that 8 of the seniors are married.

c.) What is the probability that we find less than 4 of the seniors are married?

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{300,0}.(0.02)^{0}.(0.98)^{300} = 0.0023$

$P(X = 1) = C_{300,1}.(0.02)^{1}.(0.98)^{299} = 0.0143$

$P(X = 2) = C_{300,2}.(0.02)^{2}.(0.98)^{298} = 0.0436$

$P(X = 3) = C_{300,3}.(0.02)^{3}.(0.98)^{297} = 0.0883$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0023 + 0.0143 + 0.0436 + 0.0883 = 0.1485$

14.85% probability that we find less than 4 of the seniors are married.

d.) What is the probability that we find at least 1 of the seniors are married?

Either no seniors are married, or at least 1 one is. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

From c), we have that $P(X = 0) = 0.0023$ . So

$0.0023 + P(X \geq 1) = 1$

$P(X \geq 1) = 0.9977$

99.77% probability that we find at least 1 of the seniors are married

3 0

3 years ago

Write an equation for a circle with center (-2, 8) and radius 9.

Zanzabum

The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.

<h3>What is an equation of a circle?</h3>

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x - h)² + (y - k)² = r²

Write an equation for a circle with a center (-2, 8) and a radius of 9.

Then the equation will be

(x + 2)² + (y − 8)² = 9²

(x + 2)² + (y − 8)² = 81

Learn more about the equation of a circle here:

brainly.com/question/10165274

#SPJ1

5 0

2 years ago

Use the drawing tools to form the correct answer on the grid.

Rus_ich [418]

Answer:

Here is the answer I got when I graphed the equation I got it correct so here it is: Hope this Helps!!!

Step-by-step explanation:

Draw a line exactly from 120 to the top of number 9 on the x axis labeled # of Books

PLEASE GIVE BRAINLIEST IF THIS HELPED!!!

THANKS!!!

7 0

4 years ago

Landen spent LL hours at the beach last weekend. Matéo spent 15\%15% fewer hours at the beach than Landen did. Which of the foll

ivanzaharov [21]

Answer: 0.85 L or $\frac{85L}{100}$ or $\frac{17L}{20}$

Step-by-step explanation:

Since, According to the question,

Landen spent time at the beach last weekend = L hours

And, Matéo spent 15% fewer hours at the beach than Landen did.

Therefore, Number of hours spent by Matéo = (Time spent by Landen last week - 15 % of the Time spent by Landen last week ) hours

= 85% of the Time spent by Landen last week

= $\frac{85\times L}{100}$

= $\frac{85L}{100}$ Hours

= $\frac{17L}{20}$ Hours

= 0.85 L Hours

8 0

4 years ago

Read 2 more answers

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

PLEASE HELP !! ILL GIVE BRAINLIEST EXTRA 40 POINTS DONT SKIP :(( .!