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2 years ago

7

What is the number of liters in 90 gallons

1 answer:

erma4kov [3.2K]2 years ago

6 0

The answer is 340.687 liters

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On a multiple-choice test. Abby randomly guesses on all seven questions. Each question

Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. 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.

Seven questions:

This means that $n = 7$

Each question has four choices.

Abby guesses, which means that $p = \frac{1}[4} = 0.25$

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

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

$P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173$

8 0

2 years ago

In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m

elixir [45]

Answer:

<u><em>Measure of angle A is 27 7/9 degrees.</em></u>

Step-by-step explanation:

Lets call measure of angle A is <em><u>X-10</u></em>

Lets call measure of angle B is X

Lets call measure of angle D is 2.5X+20

We know that the sum of triangles add up to 180 degrees

X+X-10+2.5X+20=180

X=37 7/9

So measure of angle A is 27 7/9 degrees.

I hope this is right. :)

8 0

2 years ago

The water level of a lake has been increasing each year. The initial water level of the lake was 800 meters, and the water level

ivanzaharov [21]

2x=5x1800+1500(56-7)

7 0

2 years ago

Which kind of triangle is shown

goblinko [34]

Answer:

Right Scalene Triangle

Step-by-step explanation:

8 0

1 year ago

7/2x+1/2x = 18+ 9/2x

chubhunter [2.5K]

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

$4x=18+\frac{9}{2} x$

-9/2x -9/2x

$-\frac{1}{2} x=18$ because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

$(\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)$

which then cancels out -1/2 and makes it

x=-36

4 0

2 years ago