What’s the solution to the system of equations graphed below?

Aaron bought a pair of shorts online for $22. He used a coupon code to get a 20% discount. The website also applied a 10% proces

patriot [66]

Answer:

19.36

Step-by-step explanation:

First you figure out what 20% of 22 is, which is 4.4
Then you subtract 4.4 from 22, which gets you 17.6
Then you add 10% of 17.6, that 10% being 1.76
So you lastly add 1.76 to 17.6 which gets you 19.36.

8 0

3 years ago

The two-way table shows the distribution of gender to favorite film genre for the senior class at Mt. Rose High School.

Studentka2010 [4]

Answer:

The second statement is correct

Step-by-step explanation:

Hello!

The table shows the information of the favorite film genre of the students of the class regarding their gender.

You have to prove which statement is correct:

1)The probability of randomly selecting a student who has a favorite genre of drama and is also female is about 17 percent.

If you chose a student at random, you need to calculate the probability of its favorite genre being "Drama" (D) and the student being female (F), symbolically: P(D∩F)

To do so you have to divide the number of observed students that are female and like drama by the total number of students:

P(D∩F)= $\frac{24}{240}= \frac{1}{10} =0.10$

This means that the probability of choosing a student at random and it being a female that likes drama is 10%.

This statement is incorrect.

2) Event F for female and event D for drama are independent events.

Two events are independent when the occurrence of one of them doesn't affect the probability of occurrence of the other one.

So if F and D are independent then:

P(F)= P(F|D)

-or-

P(D)=P(D|F)

The probability of the event "Female" is equal to $P(F)= \frac{Total females in the class}{n} = \frac{144}{240} = \frac{3}{5}= 0.6$

The probability of the event "Drama" is:

$P(D)= \frac{Total students that like "Drama"}{n}= \frac{40}{240}= \frac{1}{6}= 0.166$

$P(F|D)= \frac{P(FnD)}{P(D)}= \frac{\frac{1}{10} }{\frac{1}{6} }= \frac{3}{5} = 0.6$

As you can see P(F)= 0.6 and P(F|D)= 0.6 so both events are independent.

This statement is correct.

3) The probability of randomly selecting a male student, given that his favorite genre is horror, is 16/40

This is a conditional probability, you already know that the student likes horror movies (H), and out of that group you want to know the probability of the student being male (M):

$P(M|H)= \frac{number of male students that like horror movies}{total students that like horror movies}= \frac{16}{38}= \frac{8}{19} = 0.42$

This statement is incorrect.

4) Event M for male and event A for action are independent events.

Same as the second statement, if the events "Male" and "Action" are independent then:

P(M)= P(M|A)

-or-

P(A)= P(A|M)

$P(M)= \frac{96}{240}= \frac{2}{5}= 0.4$

$P(A)= \frac{72}{240} =\frac{3}{10}= 0.3$

$P(AnM)= \frac{28}{240}= \frac{7}{60}= 0.11666$

$P(M|A)= \frac{P(MnA)}{P(A)}= \frac{\frac{7}{60} }{\frac{3}{10} } = \frac{7}{18}= 0.3888$

$P(M)= \frac{2}{5}$ and $P(M|A)= \frac{7}{18}$

P(M)≠ P(M|A) the events are not independent.

This statement is incorrect.

I hope this helps!

6 0

3 years ago

Explain how you know which coins could be show 0.77 of a dollar

laila [671]

7 dimes+7 pennies
or 77 pennies
or 7 dimes+1 nickle+2 pennies
3 different ways!!!

4 0

3 years ago

Why the commutative and associative properties don't hold true for subtraction and division

djverab [1.8K]

The commutative and associative properties do not apply to both subtraction and division because once you move around your variables, you will produce different results, whereas in addition and multiplication, any change in position of numbers won't affect the result. The identity properties apply to them because once you add, subtract, multiply, or divide a certain number from any other number, you produce the same result, or, in other words, keep the number's "identity".

7 0

3 years ago

Factor -1/4 out of -1/2x - 5/4y

marusya05 [52]

The factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

<h3>What is a factor of equation?</h3>

The factor of a equation is the terms or number which is common in all the terms of the that equation.

The first term of the equation is,

-1/2x

Multiply with 2 in numerator and denominator of this term as,

-2/4x

(-1/4)2x

Now the second term of the equation is,

-5/4y

Rewrite this term as,

(-1/4)5y

Thus, the expression become,

1/2x - 5/4y

(-1/4)2x- (-1/4)5y

-1/4(2x-5y)

Hence, the factor from the provided expression of the variable x and y is taken out. The resultant expression is -1/4(2x-5y).

Learn more about factor here;

brainly.com/question/24380382

#SPJ1

8 0

2 years ago