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IrinaVladis [17]

3 years ago

5

The nutrition label on a carton of soy milk says that one glass contains 7 grams of protein. How many milligrams of protein does

one glass contain

1 answer:

barxatty [35]3 years ago

7 0

The answer is 7000mg.

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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

2 years ago

Multiply and Simplify<br> (x-4)(x^2 - 5x - 6)

kirill [66]

Answer:

x^3 -9x^2 +14x +24

Step-by-step explanation:

(x-4)(x^2 - 5x - 6)

Multiply the x by everything in the second term

x * (x^2 - 5x - 6)

x^3 -5x^2 -6x

Multiply the -4 by everything in the second term

-4 * (x^2 - 5x - 6)

-4x^2 +20x +24

Add everything together

I like to line them up vertically

x^3 -5x^2 -6x

-4x^2 +20x +24

-------------------------------

x^3 -9x^2 +14x +24

4 0

2 years ago

Read 2 more answers

A candy machine makes 75 pieces of candy a minute. If a full box of candy holds 8 pieces, how many full boxes does the machine

Hunter-Best [27]

9 hvcitcutdutdutdutdut

8 0

2 years ago

Read 2 more answers

Write a rule for the linear function in the graph<br><br> (0, 1) , (5, 3)

aleksandr82 [10.1K]

Answer: x = 5, y = 2

Step-by-step explanation

x = 0, x = 5

5 - 0 = 5

y = 1, y = 3

3 - 1 = 2

5 0

2 years ago

Suppose a video store charges non-members $4 to rent a video. A membership costs $21 and then videos cost only $2.50 to rent. Ho

densk [106]

Answer:

You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.

Step-by-step explanation:

Let Number of videos to be rented be x;

Given:

For non members;

Cost of renting 1 video = $4

Cost for renting x videos = $4x$

For Members;

Membership cost = $21

Cost of renting 1 video = $2.50

Cost of renting x video = $2.5x$

We can create an equation. Say the number of videos you rent is given by x . We can write that, if we rent x videos without membership, we'll have to pay $4x$ . If we rent the same amount of videos with membership, we'll have to pay $21+2.5x$ .

Hence the equation can written as

$4x=21+2.5x\\4x-2.5x=21\\1.5x=21\\x=\frac{21}{1.5}=14$

Hence You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.

5 0

2 years ago