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Elodia [21]
3 years ago
13

Help please triangles

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0
For all of them just use the Pythagorean theorem which is a squared plus b squared equals c squared where c is the hypotenuse (length of the side opposite the right angle) and a and b are legs. Just plug it in and solve for the missing length. For example, 1 would be (12) squared plus (5) squared equals c squared
Simplify to get 144 plus 25=c squared
169 equals c squared
Find the square root of both sides
c=13
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1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n
Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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.

In this problem:

  • 70% of fatalities involve an intoxicated driver, hence p = 0.7.
  • A sample of 15 fatalities is taken, hence n = 15.

The probability is:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

Hence

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

P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061

P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186

P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700

P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916

P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305

P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047

Then:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0
3 years ago
Pls pls help i'll give u a cookie
Snowcat [4.5K]

Answer:

b. 9/50

Step-by-step explanation:

•the probability of the selected flight arriving on time: 820/1000 = 0.82

•find the probability of the flights not being selected by subtracting 0.82 from 1.00: 1.00-0.82=0.18

•now you look for the answer that equals to 0.18

50/1 =50 nope

9/50 =0.18 yes

41/50 =0.82 nope

1/4 = 0.25 nope

5 0
3 years ago
What would you get if you were to multiply a negative with a negative?
QveST [7]
You should get a positive number
4 0
3 years ago
Read 2 more answers
Simplify 7n - 2n 3p 2p.
djyliett [7]

5n+5p is the right answer.

8 0
3 years ago
Read 2 more answers
8 shirts and 5 pairs of pants cost $695 altogether. 3 shirts and 3 pairs of pants cost $300 altogether. How much more does each
kobusy [5.1K]

For this, we will be doing a system of equations. First will represent the total cost of $695 and the other will represent the total cost of $300.

Let s = cost of shirts and p = cost of pants:

8s+5p=695\\ 3s+3p=300

For this, I'll be using the substitution method. So firstly, subtract 3p on both sides of the second equation: 3s=300-3p

Next, divide both sides of the second equation by 3: s=100-p

Now replace s in the first equation with (100-p). From here we can solve for p: 8(100-p)+5p=695

Firstly, foil 8(100-p): 800-8p+5p=695

Next, combine like terms: 800-3p=695

Next, subtract 800 on both sides of the equation: -3p=-105

Next, divide both sides by -3, and your answer should be: p=35

Now that we know what the cost of pants is, we can replace p in either equation with 35 to solve for s. For this, I'll be using the second equation.

3s+3(35)=300\\ 3s+105=300\\ 3s=195\\ s=65

To find the difference in price, just subtract the prices: 65 - 35 = 30.

In short, shirts are $30 more expensive than pants.

4 0
3 years ago
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