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3 years ago

The equation of the line parallel to y-8=1/8(x+8) that passes through Q(1,-1) is

Mathematics

1 answer:

Mars2501 [29]3 years ago

7 0

Answer:

Find the distance between the given points: (-7, 5) and (-8, 4)

Step-by-step explanation:

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According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o

Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used 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.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that $p = 0.304$

100 such adults

This means that $n = 100$

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

$P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803$

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0

3 years ago

Simplify the expression:<br> 2a+4b=9c

fomenos

Answer:

$a=\frac{9c}{2}-b$

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

4 0

3 years ago

Read 2 more answers

Is 11/2 and 6/11 equivalent? Plz I need the help☹️

trapecia [35]

For this case we have the following fractions:

$\frac {11} {2}\\\frac {6} {11}$

We must rewrite the fractions, using the same denominator.

We have then:

We multiply the first fraction by 11 in the numerator and denominator:

$\frac {11} {2} \frac {11} {11}$

We multiply the second fraction by 2 in the numerator and denominator:

$\frac {6} {11} \frac {2} {2}$

Rewriting we have:

For the first fraction:

$\frac {121} {22}$

For the second fraction:

$\frac {12} {22}$

We note that:

$\frac {121} {22}> \frac {12} {22}$

Answer:

The fractions are not equivalent:

$\frac {11} {2}> \frac {6} {11}$

5 0

3 years ago

Solve the following quadratic equation by the square root method. (Y-9)^2=64

enot [183]

Hello!

To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.

$(y - 9)^{2} = 64$

$y - 9 = ±\sqrt{64}$

$y - 9 = ±8$

Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.

Now, add 9 to both sides.

$y = 9±8$

There are 2 solutions from here. One comes from adding 8, and the other subtracting 8. Therefore, the two solutions are:

y = 9 + 8 = 17

y = 9 - 8 = 1

Therefore, your two solutions are 17 and 1.

Hope this helps!

8 0

3 years ago

In 1940, a certain country's population was 79,042,573 and its area was 2,919,166 square miles. In 2000, the country's popul

Debora [2.8K]

Answer:

Step-by-step explanation:

3 0

3 years ago