What is the equation of the line of best fit that Frank drew?


Answer: 6/25

Step-by-step explanation:

There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25

Answer:

The amount invested at 9% is $30,000

Step-by-step explanation:

Mardi received an inheritance of $40,000.

Let x be the amount invested at 9%.

So, Amount invested at 10% = 40000-x

Her total annual income from the investments was  $3700.

So, [tex]0.09x+0.1(40000-x)=3700[/tex]

[tex]0.09x+4000-0.1x=3700[/tex]

x=30000

Hence the amount invested at 9% is $30,000

Answer:

It is an integer.

Step-by-step explanation:

The number -5 is negative so it is not a whole number or a natural number.  It also isn't a decimal number or a fraction so it is an integer.  

Answer: Integer

Step-by-step explanation: you have to use your skills

Answer:

[tex]\sqrt{x+4} \\\\-\sqrt{x+4}[/tex]

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]P(1+r\%)^t[/tex]

[tex]700 \times (1+0.8\%)^5[/tex]

[tex]700 \times (1+0.8/100)^5[/tex]

[tex]700 \times (1+0.008)^5[/tex]

[tex]700 \times (1.008)^5[/tex]

The value expresses the population five years later is (700)(1.008)^5.

We have given that in 1997 the population of a small town was 700.

The annual rate of increase is about 0.8%.

We have to find the population for 5 years

[tex]F=P(1+r)^t\\\\[/tex]

Here p=700

r=0.8/100=0.008

t=5

Use the above value in the formula so we get,

[tex]F=700(1+0.008)^5[/tex]

[tex]F=700(1.008)^5[/tex]

Therefore option D is correct.

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Answer:

2

Step-by-step explanation:

3x + 2 =y y=8

3x + 2=8

3x=6

x=2

Answer:

x = 2

Step-by-step explanation:

3x + 2 = 8

3x = 6

x = 2

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Answer:

2164.86432

Step-by-step explanation:

2000(1+(.08/4))^4

2164.86

Answer:

There are 36 total possible outcomes.

Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.

Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.

Rolling a sum of 9, there are 4 possibilities, which is a better chance.

Rolling a sum less than 5, there is 6 possibilities, which is a better chance.

Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.

Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.

Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.

The answers would be:

Rolling a sum of 9,

Rolling a sum less than 5

Rolling greater than 5 but less than 7

Answer:

There are 36 total

Step-by-step explanation:

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]3x+6=5x-4[/tex]

[tex]3x-5x=-4-6[/tex]

[tex]-2x=-10[/tex]

[tex]2x=10[/tex]

[tex]2x/2=10/2[/tex]

[tex]x=5[/tex]

The number is 5.

Answer:

5

Step-by-step explanation:

Answer:

The answer is 166/21, or 7 19/21

Step-by-step explanation:

First, you would set up the equation, which is:

13 1/7 - 5 5/21

Next, you would turn them into an improper fraction, which is:

92/7 - 110/21

Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:

276/21 - 110/21

Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.

Answer:

7 19/21

Step-by-step explanation:

13 1/7 - 5 5/21

Get a common denominator

13 1/7*3/3 - 5 5/21

13 3/21 - 5 5/21

We need to borrow 1 from the 13 in the form of 21/21

12 +21/21 + 3/21   - 5 5/21

12 24/21 - 5 5/21

7 19/21

Answer:

x = 114°

y = 27

Step-by-step explanation:

To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.

To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.

Answer:

x= 114,

y= 27

Step-by-step explanation:

x= 180 - 66 = 114

6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27

Answer:

The x-value is between 2 and 3, and the y-value is between -4 and -5

Step-by-step explanation:

The plot of the equations:

y = 1/4x - 5 (red)

y = -1/2x - 3 (blue)

is shown in the figure attached.

The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333

Answer:

it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.

Step-by-step explanation:

Answer:

The question is missing, so I will answer all the solution for each possible system of two equations.

Step-by-step explanation:

The equations

x + 5 y = 10 (red)

3 x - y = 1 (blue)

x - 5 y = 10 (green)

3 x + y = 1 (purple)

are shown in the picture atatched. The intersection between two lines is the solution of their system.

system:

x + 5 y = 10 (red)

3 x - y = 1 (blue)

solution: (0.938, 1.813)

system:

x + 5 y = 10 (red)

x - 5 y = 10 (green)

solution: (10, 0)

system:

x + 5 y = 10 (red)

3 x + y = 1 (purple)

solution: (-0.357, 2.071)

system:

3 x - y = 1 (blue)

x - 5 y = 10 (green)

solution: (-0.357, -2.071)

system:

3 x - y = 1 (blue)

3 x + y = 1 (purple)

solution: (0.333, 0)

system:

x - 5 y = 10 (green)

3 x + y = 1 (purple)

solution: (0.938, -1.813)

Answer:

A.

Step-by-step explanation:

I just took the quiz :]

Answer:

This function is True

Step-by-step explanation:

Since there is one value of  y  for every value of  x .

Answer:

The probability under the given conditions is found:

P(7) = 0.079

Step-by-step explanation:

Let x be the number of adults who believe in reincarnation.

Adults randomly selected = 8

percentage of adult believe in reincarnation = 40% = 0.4

x follows binomial distribution:

P(x) =  [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]

where

n= total people random people selected = 8,

x = selected for the part = 7,

p = probability given = 0.4

P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]

P(7)= (8)(0.0164)(0.6)

P(7) = 0.07872

Rounding off to 3 decimal positions

P(7) = 0.079

Answer:

This is really weird. None of them seem to be right.

For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.

However, if I had to choose one, I'd choose the second option. It's the closest to being correct.

It is important to consider salary and benefits because you should consider how much money you need to buy necessities and a few things you want, but you should also look into whether the benefits can wave some of the necessity costs, such as health insurance, etc.

Answer:

hi

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

21e + 35 can also be 7(3e+5) since 7 is the gcf of these terms

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

risk

Step-by-step explanation:

Lenders rely on credit scores to determine risk.

Answer:

Option B

Step-by-step explanation:

The absolute value of a number is how far a number is from zero. We can use ' | | ' to represent the absolute volume of a number.  The distance, or absolute value, of -8 is 8.

We can represent this by writing:

|-8| = 8

Option B should be the correct answer.

Answer:

B

Step-by-step explanation:

The absolute value of a number means the distance from 0.

For example, |-2| is 2 units from 0.

|-8| = 8

-8 is 8 units from 0.

Answer:

the answer would be B

Step-by-step explanation:

by flipping it to the other side u will have the same numbers but some might be negative hoped it was right

Answer:

its B

Step-by-step explanation:

Answer:

5x +10

Step-by-step explanation:

3(x+2)+2(x+2)

Distribute

3x+6 +2x+4

Combine like terms

5x +10

Answer:

5x+10

simplified if you want: x+2

Step-by-step explanation:

3x+6+2x+4

5x+10

Answer: B and E

Step-by-step explanation:

A polynomial is an algebraic expression of degree one variable and above.

A polynomial does not have negative in it exponent and cannot be divided by a variable.

Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.

From the options given to you, only B and E are polynomials

Answer:

Number of ounces of iodine 888 brand = 68

Number of ounces of iodine 232 brand = 325

Step-by-step explanation:

Given the following ;

Brand 232:

Cost per ounce = 36cent

Brand 880:

Cost per ounce = $2.04 = 204cent

Assume the following :

Number of ounces of 232 brand = x

Number of ounces of 888 brand = y

Total ounces to be made :

x + y = 393 - - - (1)

Total cost of iodine :

Brand 232 = 36x

Brand 888 = 204y

36x + 204y = 25572 - - - - (2)

From (1)

x = 393 - y - - - - (3)

Substitute (3) into (2)

36(393 - y) + 204y = 25572

14148 - 36y + 204y = 25572

-36y + 204y = 25572 - 14148

168y = 11424

y = 11424 / 168

y = 68

From ; x = 393 - y

y = 68

x = 393 - 68

x = 325

Number of ounces of iodine 888 brand = 68

Number of ounces of iodine 232 brand = 325

Answer:

x=-2

y=-10

Step-by-step explanation:

x+y=-12

x-y=8

x=y+8

(y+8)+y=-12

2y+8=-12

2y=-20

y=-10

x+10=8

x=-2

Answer:

[tex]x = - 2 \\ y = - 10[/tex]

Step-by-step explanation:

[tex]x + y = - 12 \\ x - y = 8[/tex]

[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]

[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]

Answer:

Perimeter = 86.4 (m)

Step-by-step explanation:

A square (with side x) has an area of 466.56 (m^2)

=> x^2 = 466.56

=> x = sqrt(466.56) = 21.6

=> Perimeter of this square: P = 4(x) = 4(21.6) = 86.4 (m)

Hope this helps!

Step-by-step explanation:

[70,30] = 210 miles per hour

d=76.157t is the expression for two vehicles, a car and a truck which were distance apart d (in miles) at the end of t hours.

Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 70 miles per hour, while the truck heads south at an average speed of 30 miles per hour. we need to find expression for their distance apart d at the end of t hours

Distance=Speed*Time

distance= speed * time.

*70t be the car traveling EAST at 60 miles per hour after t hours

*30t be the distance of the truck traveling SOUTH at 20 miles per hour after t hours.

*Use the Pythagorean Theorem to find the distance d.

The Pythagoras theorem states that sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

d^2=(70t)^2+(30t)^2

d^2=4900t^2+900t^2

d^2=5800t^2

d=76.157t

Therefore d=76.157t is the required expression for their distance apart d (in miles) at the end of t hours.

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Answer:

the third one

Step-by-step explanation:

use quadratic equation

Answer: -5.8x-2.9

Step-by-step explanation:

Hi, to answer this we will use the distributive property:

The distributive property allows to multiply a sum by multiplying each addend separately and then add the products.

(2x + 1) (3.1 – 6)

(2x [3.1]) +(2x[-6])+ (1 [3.1])+ (1 [-6])

6.2x-12x+3.1-6

-5.8x-2.9

Feel free to ask for more if needed or if you did not understand something.