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2 years ago

Find the indicated measure. Round answers to the nearest hundredth.

Mathematics

1 answer:

Ronch [10]2 years ago

7 0

Bro what I Will do is search up you questions on YouTub it will help you a lot

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The following value is closest to what number? 292

NikAS [45]

Your round it to 300 so the answer is 300

5 0

3 years ago

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

2 years ago

The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers lo

lesantik [10]

I’m not sure if I’m correct but I think it is 2^21

8 0

2 years ago

Angle TVZ makes a linear pair with angle ZVW so the measure of angle TVZ plus the measure of angle ZVW=180 degrees. Angle ZVW is

ss7ja [257]

Answer:

Step-by-step explanation:

2x +15 +2x +5 = 180

4x = 180 - 20

x = 160/4

x = 40

TVZ + 2x +5 =180

TVX +2(40) = 180 -5

TVX = 175 - 80

TVX = 95

6 0

2 years ago

The area of a circular wave expands across a still pond such that its radius increases by 8cm each second. Write a formula for t

dedylja [7]

Answer:

A(t) = π(8t)²

Step-by-step explanation:

Radius of a circular wave increases by 8 cm each second.

Every second radius of circular wave so the sequence of increase in radius will be,

8, 16, 24, 32.........(8t)

Here 't' = time

Since, area of a circle = πr²

Therefore, area of the circular wave after 't' seconds since the wave begins,

A(t) = π(8t)²

4 0

2 years ago

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