Help please !!!!!!!!!

A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the valu

Ganezh [65]

The taxes are figured as follows: 0.089(value of car)

Here the taxes are 0.089(value of car) = $1100.

Divide both sides of this equation by 0.089 to determine the value of the car.

value of car = $12359.55, or approx $12360.

8 0

2 years ago

. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased

DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

P(A)= the probability that they purchased a green sweater
P(B)= the probability that they purchased a gray sweater
Mutually exclusive events

You know:

8 purchased green sweaters
4 purchased gray sweaters
number of possible cases= 12 + 8 + 4+ 7= 21

So:

$P(A)=\frac{8}{31}$

$P(B)=\frac{4}{31}$

P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= $\frac{8}{31}+ \frac{4}{31}$

P(A∪B)= $\frac{12}{31}$

The probability that they purchased a green or a gray sweater is $\frac{12}{31}$

5 0

2 years ago

What are the formulas for trigonometry and pythagoras?

jasenka [17]

That's not a good question at all. It's a lot like asking
"What are the statements for News and President Obama ?"

There are at least a hundred formulas that are useful in trigonometry.
One of the most useful is:

In a right triangle, the square of the length of the hypotenuse
is equal to the sum of the squares of the two short sides.

Pythagoras is the name of the ancient Greek mathematician who
discovered that formula. The formula is so useful that it's known
by his name, in his honor.

7 0

2 years ago

1. The number of letters received in the mail over the past week is recorded.

gregori [183]

Answer:

nose mijito pide ayuda a tus family

6 0

2 years ago

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length of the hypotenuse

lara [203]

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

By definition, the sine of an angle is:

$sin(x) = \frac{opposite\ side}{hypotenuse}$

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

$sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in$

Finally the length of the hypotenuse is 4.1 in

6 0

3 years ago

Help please !!!!!!!!!​

Help please !!!!!!!!!