All categories

4 years ago

Find the measure of each marked angle.

Mathematics

1 answer:

Tatiana [17]4 years ago

6 0

Answer:

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

Step-by-step explanation:

In a triangle, the sum of all inside angles must be 180 degrees.

In this question:

The inside angles are: x, x + 50 and 180 - 3x.

Then

x + x + 50 + 180 - 3x = 180

2x - 3x = -50

x = 50

x degrees = 50 degrees.

x + 50 degrees = 50 + 50 = 100 degrees

(180 - 3x) degrees = (180 - 3*50) = 30 degrees.

You might be interested in

A Ferris vil can accommodate 55 people in 15 minute how many people could ride the Ferris ville in 2 hours what is the rate per

AnnyKZ [126]

15 minutes is one quarter of an hour, so the number of people accommodated in an hour would be 4 x 55 = 220 people per hour

3 0

3 years ago

Beatriz is reading a book tgat has 530 pages. If she reads 10 pages a day, how many days will it take her to finish the book?

Art [367]

The equation you want to use is this:

10x = 530 10 pages for x days

x = 530/10 530 pages divided by 10 pages

So the answer is,

53 days

6 0

3 years ago

Read 2 more answers

7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken

Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used 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 leading brand of dishwasher detergent has a 30% market share.

This means that $p = 0.3$

A sample of 25 dishwasher detergent customers was taken.

This means that $n = 25$

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

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

$P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001$

$P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014$

$P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074$

$P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243$

$P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572$

$P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030$

$P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472$

$P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712$

$P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651$

$P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336$

$P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916$

Then

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021$

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

3 0

3 years ago

The length of a pool table is 71 feet and the width is 36 feet. Find the area of the surface of the pool table by multiplying th

Zarrin [17]

Answer:

2556 feet squared

Step-by-step explanation:

Area is calculated by multiplying length times width. 71x36=2556

5 0

3 years ago

Can someone please help me with math.

notsponge [240]

Answer:

your answer is line plot D.

Step-by-step explanation:

7 0

3 years ago