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2 years ago

Name the angle relationship. Find the measure of angle b.

Mathematics

2 answers:

icang [17]2 years ago

8 0

<h3><u>Answer:</u></h3>

Vertically opposite angle b = 86 °

<h3><u>Step-by-step explanation:</u></h3>

Angle b and angle 86° both are equal because they are vertical opposite of each other.

yarga [219]2 years ago

5 0

Answer:

vertical angles b= 86

Step-by-step explanation:

b is equal to 86 since the angles are vertical angles

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If 40 is increased to 56, what is the percent of change? <br> a80% <br> b29% <br> c40% <br> d71%

Black_prince [1.1K]

Answer:40%

Step-by-step explanation:

3 0

2 years ago

CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!

Vlad1618 [11]

Answer:

The yellow polygon is the scaled version of the red one (scaled by 3×), so the variable w = 9

5 0

3 years ago

Read 2 more answers

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=12, p=0.2)$

And we want to find this probability:

$P(X > 3)$

And we can use the complement rule and we got:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

4 0

3 years ago

Read 2 more answers

If a 36-inch yardstick casts a 21-foot shadow, how tall is a building whose shadow is 168 feet?

MAVERICK [17]

The building would have to be 24 feet tall

36 inch is 3 ft
21/3=7
168/7=24

6 0

3 years ago

Chelsey wants to join a fitness club. She has a coupon that will give her $12.50 off the monthly rate for the first 6 motnhs. Wi

MAVERICK [17]

Answer:

Your answer is 10

Step-by-step explanation:

So if you have to pay 55 out front and then continue to pay 19.50 monthly the equation will look like this:

19.50*m + 55 = x

(M stands for month)

She has 250 dollars to spend so add that in for x

19.50*m + 55 = 250.

Use inverse operations.

250-55 and 55-55

19.50*m = 195

195/19.50 and 19.50/19,50

m=10

Your answer is 10

7 0

2 years ago