The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.

Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)

Answer:

23 /5=4.6

4 3/5

4 6/10

Answer:

Ted has 10 books and Omar has 15 books

Step-by-step explanation:

Hey there!

In order to find how many books each of the boys have, we can make a system of equations

First equation: O+T=25

Second equation: O=2T-5

After making the equations, you can use substitution by plugging in 2T-5 For O in the first equation:

2T-5+T=25

Simplify LHS

3T-5=25

Take 5 to the other side

3T=30

Divide by 3 on both sides to get T by itself

T=10

So this means that Ted has 10 books

Now we can plug this into the second equation

*note that you can plug 10 into the first equation too*

O=2(10)-5

Simplify RHS

O=20-5

Combine like terms

O=15

This means that Omar has 15 books

So, Ted has 10 books and Omar has 15 books

Answer:

x = 18.5 (large) , y = 6.25 (small)

Step-by-step explanation:

Let's start by assigning variables to each type of box.

The large box we will call "x"

The small box we will call "y"

We know that 8x + 4y = 173 (kilograms)

And 3x + 2y = 68 (kilograms)

Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.

8x + 4y = 173

3x(-2) + 2y(-2) = 68(-2)

-6x + -4y = -136  (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)

Add equations together:

2x = 37

x= 18.5

Now that we have x, just substitute it into any of the equations to get y.

You will see that y = 6.25

Please mark this brainliest, and I hope this helps!

check the template in the picture below.

so the graph of f(x) is simply expanded horizontally, meaning the value A*B changed to something less than 1.

[tex]\begin{array}{|l|cc|ll} \cline{1-3} &x&y\\ \cline{2-3} f(x)=x^2&2&4\\[1em] g(x)=\frac{1}{2}x^2&2&2\\ \cline{1-3} \end{array}[/tex]

By using the exponential growth equation, we will see that the population triples after 5.83 months.

We know that the initial population of bunnies is 820, and it grows at a rate of 20.75% per month, then we can write the exponential growth as:

P(t) = 820*(1 + 20.75%/100%)^t

P(t) = 820*(1 + 0.2075)^t

Where t is the time in months.

Then we need to find the value of t such that the population triples, so we actually need to solve:

(1 + 0.2075)^t = 3

If we apply the natural logarithm to both sides, we get:

ln((1 + 0.2075)^t) = ln(3)

t*ln(1.2075) = ln(3)

t = ln(3)/ln(1.2075) = 5.83 months.

So, after 5.84 months, the population of bunnies will triple.

If you want to learn more about exponential functions, you can read:

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Answer:

16-25y^2

Step-by-step explanation:

Hey there!

As you know, both 16 and 25 are perfect squares

All the other answers don't have both numbers as perfect sqaures

[tex]y = 6x - 2[/tex]

I believe this is correct

Answer:

2408.55 cubic yards

Step-by-step explanation:

use pi times radius squared times height, then divide by 3

Answer:

11.80

Step-by-step explanation:

The $11.80 will be her July finance charge option (c) is correct.

It is given that Elizabeth’s credit card computes her finance charges using the previous balance method and a 30-day billing cycle.

It is required to find the July finance charge.

It is defined as the annual percentage rate that represents the yearly interest rate on the borrowing.

We have a principal amount = $969.26

APR = 14.61 %

Per month percent rate = [tex]\frac{14.61}{12}[/tex] ⇒ 1.2175 %

We can calculate the finance charge from the given formula:

Finance charge = Principal value×rate×Time

= 969.29×1.2175%×1

[tex]= 969.29\times\frac{1.2175}{100}\times1[/tex]

= $11.80

Thus, the $11.80 will be her July finance charge.

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Answer:

x=5/2 x=-4

Step-by-step explanation:

2x^2+3x-20 = (2x-5)*(x+4)

2x-5 = 0 x=5/2

x+4 = 0 x=-4

Answer: X= -4

Step-by-step explanation:

Answer:

30 pounds in 480 ounces.

Step-by-step explanation:

16 ounces = 1 pound.

480 ounces divided by 16 = 30 pounds

Answer:

30 pounds. 480 ounces

30 pounds

divide the mass value by 16

Answer:

x ≈ 59.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{30}{18}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{30}{18}[/tex] ) ≈ 59.0° ( to the nearest tenth )

Answer:

5.2z

Step-by-step explanation:

When you are adding any variables of the same power, like we have in this problem, you can just add any co-efficients.

3.1 + 2.1 = 5.2

So 3.1z + 2.1z = 5.2z

Answer:

1/4 or 0.25in

Step-by-step explanation:

If you mean that 3/4 and 1/3 is lenght and width then:

3/4 x 1/3=1/4

1/4=0.25

1/4in^2

Answer:

First we must distribute the 2.6 to everything inside the ()

The new equation would then be 14.3p-32.24 = 127.92

Then you would add a -32.24 to each side of the equal sign, so that the 32.34 would become a zero pair on the right side of the equal sign and cancel.

The new equation would then be 14.3p = 160.16

Then you divide each side of the = by 14.3, that way the p becomes isolated. 14.3p/14.3 = 160.16/14.3

Then you're left with p=11.2

Answer: 77 is right.

Step-by-step explanation:

In the given box-and-whisker plot, the value of first quartile is 85.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

From the given box and whisker plot,

Minimum=77

Maximum=92

First Quartile=85

Median=87

Third Quartile=89

Therefore, in the given box-and-whisker plot, the value of first quartile is 85.

Learn more about the box plot here:

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Answer:

45

Step-by-step explanation:

It's 45 because the other ones are different those are miden Range mode and q1 and q3 so q1 is to the left

Answer:

67.5 is the upper quartile

Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate  is 6 mph.

Rate is the ratio between two related quantities in different units.

He went on a bike ride of 60 miles.

He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.

The speed he actually ride can be calculated as follows:

let

x = speed he actually ride

y = time he arrived

Therefore,

speed = distance / time

x = 60 / y

On, the other hand his permutation is as follows:

x + 6 = 60 / y - 5

(x + 6)(y - 5) = 60

since, x = 60 / y we can substitute it in the equation

(60 / y + 6)(y - 5) = 60

60 - 300 / y + 6y - 30 = 60

- 300 / y + 6y = 60 - 30

- 300 / y + 6y = 30

6y² - 300 = 30y

6y² - 30y - 300 = 0

y² - 5y - 50 = 0

y² + 5y - 10y - 50 = 0

y(y + 5) -10(y + 5) = 0

(y - 10)(y + 5) = 0

y = 10 or -5

we cannot use negative values.

Therefore,

y = 10

x = 60 / y = 60 / 10 = 6 miles per hour

He actually rode 6 miles per hour.

If he went 6 mph faster that would be 6+6 = 12 mph

If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs

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Answer:

You can make either an x|y list or use desmos graphing calculator to help you.

Step-by-step explanation:

x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.

Answer:

x=8, y=4

(8,4)

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

x - 4 = -0.5x + 8

x = -0.5x + 12

1.5x = 12

15x = 120

x = 8

plug x back into one of the first equations, and you get

y = 4.

(8,4)

Solve it through arithmetic sequence

Rule is

So

Answer:

[tex]14 \\ 11 \\ 8[/tex]

Answer:

1. SSS

2. SAS

3. ASA

4. ASA

Step-by-step explanation:

1. All three sides are equal.

2. Two sides are equal and the angle between the two sides is equal.

3. Two angles are the same and a corresponding angle is the same.

4. Two angles are the same and a corresponding angle is the same.

Answer:

0.33 × 0.2 = 0.066 or [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{15}[/tex]

The solution is, 1/3 of 1/5 is 0.667.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

we have  to find 1/3 of 1/5

now, let,

x be the required number.

so, we get,

1/3 × 1/5 = x

or, x = 1/15

or, x = 0.667

Hence, The solution is, 1/3 of 1/5 is 0.667.

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Answer:

50 milimeters

The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Suppose we're given that:

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

Why do we need this loan paying formula?

It is because we can simulate this situation with above condition.

Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars

The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022

That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.

We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).

Putting values in the aforesaid formula, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]

Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Learn more about loan payment here:

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The other person is correct! The answer is B: $866,442.02.

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Have a great day and God bless! :D

Answer:

A river

Explanation;

A river has a "bed," they have a "mouth," and they "run."

The expression is undefined when x=3 or -3

Hope it helps.

Do comment if you have any query.

Answer: The expression is undefined when x is 3 or -3

Step-by-step explanation:

The denominator of a fraction can never be 0 because you cannot divide by 0. So all we have to do is determine the value of x when the denominator is equal to 0.

[tex]9-x^{2} =0\\[/tex]

We want [tex]x^2[/tex] to be positive so divide everything by -1

[tex]9-x^{2} =0\\\\\frac{9-x^{2}}{-1}=\frac{0}{-1} \\-9+x^2=0\\x^2-9=0[/tex]

Use difference of two squares (DOTS) to factor

[tex]x^2+9=0\\(x+3)(x-3)=0[/tex]

So x cannot be 3 or -3