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monitta
3 years ago
10

In ABC, c is a right angle, what is the measure of x

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

45

Step-by-step explanation:

90+2x=180

2x=180-90

2x=90

x=90/2

x=45

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6. Assume that a component passes a test is 0.85 and that components perform independently. What is the probability that the thi
Tanzania [10]

Answer:

3.90% probability that the third failure will occur on the tenth component tested

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not fail. Components perform independently. 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.

Assume that a component passes a test is 0.85

So they fail with probability of p = 1 - 0.85 = 0.15

What is the probability that the third failure will occur on the tenth component tested

First 9 components: Two failures, that is, P(X = 2) when n = 9.

10th component: Failure with probability 0.15.

So

P = 0.15P(X = 2)

In which

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

P(X = 2) = C_{9,2}.(0.15)^{2}.(0.85)^{7} = 0.2597

So

P = 0.15P(X = 2) = 0.15*0.2597 = 0.0390

3.90% probability that the third failure will occur on the tenth component tested

5 0
3 years ago
2x+5y=85 can be used to model how much money will Tim spent on x sodas and y sandwich’s if he brought 15 sodas how many sandwich
Inessa05 [86]
Tim would have bought 11 sandwhiches and 15 sodas.

8 0
3 years ago
Read 2 more answers
"the sum of triple a number and 8"
anzhelika [568]

Answer:

isnt it 24 LOL

Step-by-step explanation:

4 0
2 years ago
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rodikova [14]

change will be $10.07


3 0
2 years ago
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2x-3y=9 Find the x- and y-intercepts and graph the equation plotting the intercepts. Please show all of your work.
Llana [10]
To find where graph is intercepting x and y axis all we have to do is to calculate what is value of x when y = 0 (x intercept) and what value of y is when x = 0 (y intercept)

1)   x = 0
-3y = 9
y = -3

2)  y = 0
x = 9/2

Graph is bellow.

8 0
3 years ago
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