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3 years ago

How would u solve 7c + 12 = -4c + 78

1 answer:

4 0

7c + 12 = -4c + 78 +4c. +4c 11c + 12 = 78 -12. -12 11c = 66 11/11. 66/11 C = 6 Plug in the answer to check . 7 * 6 + 12 = 54 -4 * 6 + 78 = 54 54 = 54

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34 of 136 in fraction form

solong [7]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

One of the methods is to first split the face and the denominator of the fraction into first bases:

$\frac{34}{136} = \frac{2 \times 17}{2 {}^{3} \times 17}$

Let's simplify:

$\frac{2}{2 {}^{3} } = \frac{1}{4}$

8 0

3 years ago

Sumalee won 40 super bouncy balls playing horseshoes at her school's game night later she gave two to each of her friends she on

inn [45]

She has 11 friends,

20 of the balls=5 friends and the rest =6 friends. I may be wrong so check this for yourself to be sure. :)

6 0

3 years ago

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 o

ExtremeBDS [4]

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that 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.

53% reported that they entered a profession closely related to their college major.

This means that $p = 0.53$

9 of those survey subjects are randomly selected

This means that $n = 9$

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

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

$P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348$

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

6 0

3 years ago

What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

7 0

3 years ago

On a compass, due east is a 1/4 turn clockwise from due north. How many degrees are in a 1/4 turn?

vladimir2022 [97]

Answer:

$90^o$

Step-by-step explanation:

We have been given that on a compass, due east is a 1/4 turn clockwise from due north.

Since we know that a compass is in form of a circle and the measure of degrees in a circle is 360 degrees.

To find the number of degrees in a one-fourth turn, we will divide 360 by 4.

$\text{Number of degrees in a 1/4 turn of compass}=\frac{360^o}{4}$

$\text{Number of degrees in a 1/4 turn of compass}=90^o$

Therefore, there are 90 degrees in a 1/4 turn of compass.

4 0

3 years ago

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