Out of 1,000 students, 80 were asked by random sampling what color they would prefer for their first car. Their responses are shown in the table below.

Answer:

x=35

y=34

Step-by-step explanation:

x+y=-1

x+3y=67

x=-3y+67

-3y+67+y=-1

-2y+67=-1

-2y=-68

y=34

x=-35

Answer:

0.091

Step-by-step explanation:

So you have 12 marbles in all.

If you take out 1, there is a 1 / 3 chance that it is red.

If you take out the second one, there is a 3 / 11 chance it is red if the first one is red.

1 / 3 * 3 / 11 = 1 / 11

0.091

Answer:

t = 9/10. Try to substitute the t value into all the t's to see if the answer is correct. Ex: 2t+2, 2(9/10) + 2

Step-by-step explanation:

First you are going to multiply the 2 with the t+1, which is 2t+2. Then you are going to do the same with the other side of the equation. 102 times t+1 is 102t+102.

Now the equation is 2t+2 = 102t+102 = 10

You are now going to combine like terms, 2t - 102t = 102 - 2  = 10

-100t = 100 = 10.

Now subtract 100 from 100 and 10, which makes it: -100t = -90

Then you are going to make the -100t = -90 to -10t = -9, finally it is t = 9/10

Answer:

t = 4

Step-by-step explanation:

Answer:

[tex]L=\dfrac{g}{4\pi^2 f^2}[/tex]

Step-by-step explanation:

The equation to calculate the period of a simple pendulum is: [tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]

Where:

Likewise, Frequency (f) of the pendulum [tex]f=\frac{1}{T}[/tex] therefore [tex]T=\frac{1}{f}[/tex]

We want to express L in terms of g and f.

From

[tex]T=2\pi \sqrt{\frac{L}{g} }[/tex]

[tex]T=\frac{1}{f}[/tex]

[tex]\frac{1}{f}=2\pi \sqrt{\frac{L}{g} }\\$Divide both sides by 2\pi\\\dfrac{1}{2\pi f}=\sqrt{\dfrac{L}{g} }\\$Square both sides\\\left(\dfrac{1}{2\pi f}\right)^2=\dfrac{L}{g}[/tex]

[tex]\dfrac{1}{4\pi^2 f^2}=\dfrac{L}{g} \\$Multiply both sides by g\\Therefore: L=\dfrac{g}{4\pi^2 f^2}[/tex]

Answer:

11%

Step-by-step explanation:

The equation would be 99=1200(r)(0.75). You would solve the equation to get the answer 11/100. Then you could convert it to a decimal to get 0.11, Then multiply the decimal by 100 to get 11.

I think the answer is 18 students.

Step-by-step explanation:

36 × [tex]\frac{3}{4}[/tex] = 27

27 × (1 - [tex]\frac{1}{3}[/tex]) = 27 × [tex]\frac{2}{3}[/tex] = 18

I hope I helped you! If my answer is correct, please mark me brainiest. Thanks!

Answer: Can you explain it more please :D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

You need to add 12 pint of yellow.

Step-by-step explanation:

This is the method I used:

There is 4 pint of Yellow (Y) and 4 pint of Blue (B)

because they said is in equal amounts, so they are 50% each.

We need 80% Y and 20% B

so 4:20 = x=80   (4 pints is 20% as "how many pints" is 80%)

So x = 16

We already have 4 pint of Yellow, so we need more 12.

6.4 pint of yellow paint we need to add to the mixture.

"A percentage is a number or ratio that can be expressed as a fraction of 100."

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

8 pint mixture of paint that is made up of equal amounts of yellow paint and blue paint.

Let we need 'x' amount of yellow paint.

To create a certain shade of green, you need a paint mixture that is 80% yellow.

So, we get an equation [tex]\frac{x}{8}\times 100 =80[/tex]

We solve above equation.

[tex]\Rightarrow \frac{x}{8}\times 100 =80\\\\\Rightarrow \frac{x}{8} = \frac{80}{100}\\\\ \Rightarrow x = 0.8\times 8\\\\\Rightarrow x = 6.4~~pints[/tex]

Therefore, 6.4 pint of yellow paint we need to add to the mixture.

Learn more about the percentage here:

https://brainly.com/question/22111589

#SPJ2

Answer:

The correct answer is B

the answer is attached to the picture

Answer:

[tex]4 {y}^{2} -12y + 9[/tex]

Step-by-step explanation:

[tex](2y - 3)(2y - 3) \\ 2y(2y - 3) - 3(2y - 3) \\ 4 {y}^{2} - 6y - 6y + 9 \\ = 4 {y}^{2} - 12y + 9[/tex]

Answer:

Step-by-step explanation:

You multiply 14.1 times 14.1 and you get 198.81 which is the closest to 200

Answer:

By distance formula ,

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB = 6.71 units

Answer:

45 students

Step-by-step explanation:

To find how many students don't prefer soccer, we have to take 90% of 50. This is because 10% of the 50 students like soccer, so the percentage that don't like it is 100-10=90%. 90% of 50 = 0.9*50 = 45 students.

Answer:

theez nutz

Step-by-step explanation:

Answer:

7 / 6

Step-by-step explanation:

2 / 6 + 5 / 6 = 7 / 6

Covert one third into two sixths

Answer:

108?

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

9×12=108

8(9) is72

2(3)is 6

5(6) is 30

9( ×12 +a{6}) is 108

Answer:

Step-by-step explanation:

So you just need:

Number here = (3 * variable ^ number greater than 2) - 2

Answer:

Step-by-step explanation:

area of two sides of ramp=2*1/2*11*1.5=16.5 ft²

Answer:

8.3 ft

Step-by-step explanation:

area of two sides of ramp=2*1/2*11.1*1.5= 8.3 ft

Answer: 61.5

Step-by-step explanation:

Area of a regular pentagon= pa/2

Perimeter: 30

Apothem is shown as 4.1

30*4.1= 123

123/2

61.5

pls mark me brainliest if im right

Answer:

5/18

Step-by-step explanation:

Step one

Given data

5 monkeys,

4 giraffes,

6 elephants, and

3 tigers.

Step two

Given the sample space

S =(5, 4,6,3) = 5+4+6+3=18

Step three

the probability of pulling a card at random when picking up a card is

Pr(monkey) = 5/18

Answer:

3(6)-1

----------------

2(6)+1

Step-by-step explanation:

r(x) = 3x-1

s(x) = 2x+1

r(6) / s(6)

r(6) = 3(6)-1

s(6) = 2(6)+1

Putting r(6)/ s(6)

3(6)-1

----------------

2(6)+1

Answer:

C

6.45×103

Step-by-step explanation:

have a good day

An equivalent expression in scientific notation is,

⇒ 6.45 × 10³

Option C is true.

Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.

Given that;

The expression is,

⇒ (4.5×10²) + (6.0×10³)

Now, We can simplify the expression as;

⇒ (4.5×10²) + (6.0×10³)

⇒ (4.5×10²) + (60×10²)

⇒ (4.5 + 60) × 10²

⇒ 64.5 × 10²

⇒ 6.45 × 10³

Learn more about the scientific notation visit:

https://brainly.com/question/1767229

#SPJ2

Answer:

1rst option

Step-by-step explanation:

Answer:

8 have brown eyes

Step-by-step explanation:

you do the total number of student over the faction

24/3=8

Answer:

8 students in the class have brown eyes

Step-by-step explanation:

to find how many students in the class has brown eyes multiply 3/4 with total number of students in the class.

1/3 ×24=8

There are 2415 females in the country.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

There are 3450 people in a country.

It was recently estimated that females outnumber males by seven to three.

That means,

70% are the females.

So, the number of females,

= 70% of, 3450

= 70 x 3450 / 100

= 2415.

Therefore, 2415 females are in the country.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

5.9× 10^4

Step-by-step explanation:

I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10."  Please be sure to use the symbol " ^ " to express exponentiation.

The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4

or

5.9× 10^4

Answer:

13

2000 -637=1,363-1300=63

Step-by-step explanation:

Answer:

An integer, a, cannot be divided by an integer, b, when [tex]b=0[/tex]

Step-by-step explanation:

There is only one limitation when dividing two numbers. This is that you cannot divide a number by 0 as it is impossible to divide something into 0 groups.

As the integer, b, is the number that symbolized the number of groups something is divided into, this value cannot be 0.

Answer:

A. 28.1 cm^2

Step-by-step explanation:

a = bh

a = (7.6)(3.7)

a = 28.12 cm^2

a = 28.1 cm^2

Answer: 67 percent of all students at Ridgemont High prefer pizza for lunch.

Step-by-step explanation:

Here is the complete question:

Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, “Do you prefer pizza or a veggie burger for lunch?” and 67%, percent answered “pizza.”

Based on this data, which of the following conclusions are valid?

a. 67, percent of all students at Ridgemont High prefer pizza for lunch.

b. 67, percent of the students in the sample prefer pizza for lunch, but we cannot conclude anything about the population.

c. About 67, percent of all teenagers prefer pizza for lunch.

From the question, we are informed that Good Taste Food Company asked 100 randomly selected students at Ridgemont High School the question, which is "Do you prefer pizza or a veggie burger for lunch?" and then 67, percent answered "pizza.

Based on the scenario, this shows that 67% of the students at Ridgemont High School prefers pizza whenever they want to have lunch.

Answer:

A

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Let x represent the initial value of the stock at the beginning of 2006. And y the value at the end of 2006.

When it went up by 25% in 2006;

y = x + 25% of x = x + 0.25x = 1.25x

For the value to go back to the original price, it has to decrease from y to x;

y = 1.25x

The percentage decrease from y to x is;

= (y-x)/y × 100%

Substituting the values;

= (1.25x -x)/1.25x × 100%

= 0.25x/1.25x × 100%

= 0.2 × 100%

= 20%

Therefore, it will have to go down 20%