Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
Determine the equation of the line of fit.

y = 15x + 60
y = 15x + 30
y = 30x + 60
y = 30x + 30

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer:

5%

Step-by-step explanation:

The formula for calculating simple interest is:

Interest = Principal × Rate × Time

Where:

Interest is the amount of money earned as interest

Principal is the initial amount of money deposited

Rate is the interest rate (expressed as a decimal)

Time is the duration for which the money is invested or the time period over which interest is calculated

In this scenario, the principal amount is $50,000, and the interest earned is $2,500. The time period is given as 1 year.

We can rearrange the formula to solve for the rate:

Rate = Interest / (Principal × Time)

Plugging in the given values:

Rate = $2,500 / ($50,000 × 1)

The calculation simplifies to:

Rate = $2,500 / $50,000

Dividing $2,500 by $50,000 gives us the decimal value of the interest rate:

Rate = 0.05

To express the interest rate as a percentage, we multiply the decimal value by 100:

Rate = 0.05 × 100

Rate = 5%

Therefore, the interest rate for the savings account is 5%.

Answer:

Interest Rate = 5%

Step-by-step explanation:

Principal = $50, 000

Rate = ?

Time = 1 yr

S.I = PRT/100

2,500/1 = 50,000 × R × 1/100

50,000R = 2,500 × 100

50,000R = 250,000

50,000R/50,000 = 250,000/50,000

R = 5 %

Answer:   star and circle

Answer:

The answer is no solution

Step-by-step explanation:

-25x+175>225 AND 5x-83 >= -73

In order to solve for the first inequality you would need to combine like terms:

-25x > 225-175

= -25x > 50

Next you would divide by -25 however, wheneve dividing by a negative number you would switch the sign:

x < -2

Now for the next inequality you would combine like terms:

5x >= -73+83

= 5x >= 10

Now divide by 5 on each side:

x >= 2

In this scenario the inequality says AND

However, x can't be greater then two and less then -2 since 2 is greater then negative two. Therefore, the answer is NO SOLUTION

Step-by-step explanation:

White cube .... this is just a visualization/counting exercise

  all of the corners have 3 sides painted  = 8

  all of the edge-middle cubes have two sides painted = 12

  all of the middle sides have 1 side painted = 6

   the one cube in the dead middle has no paint = 1

                                8 + 12 + 6 + 1  = 27 cubes  

#2  Find the entire volume of the tank to be    large cylinder - small cylinder

      cylinder volume formula  = pi r^2 h

       pi (50^2) (75)  -  pi ( 20^2)(75) = 494800 cm^3  = 494.8 L

         If you pour 200 liters into the it will fill to

             200 / 494.8    *    75 cm = 30.3 cm high

The addition statement that this number line shows is B) 5 + (-6) = -1.

A number line describes the use of a pictorial representation of numbers on a straight line.

The uses of a number line include:

According to this number line, 5 + (-6) = -1.

Thus, we can conclude that the true statement of the addition operation on this number line is Option B.

Learn more about number lines at https://brainly.com/question/24644930.

#SPJ1

Answer: The mode of the data shown on the stem-and-leaf plot is 5.1

Step-by-step explanation:

Answer: 13%

Step-by-step explanation:

Find the mean average of all the fractions, such as 9/60, and 5/30. You add all of them up and divide it by 5. You should get something like 12.44%, which is closest to 13%.

Step-by-step explanation:

The cost of a shirt is $20. If I buy x number of shirts, what will be the total cost?

Equation: Total cost = 20x

The sum of two consecutive odd numbers is 56. What are the numbers?

Equation: x + (x+2) = 56

Solution: x = 27, 29

The perimeter of a square is 32 cm. What is the length of each side of the square?

Equation: 4x = 32

Solution: x = 8

The product of two numbers is 48, and their sum is 16. What are the two numbers?

Equation: xy = 48, x+y = 16

Solution: x = 8, y = 6

The cost of a dozen eggs is $1.50. What is the cost of one egg?

Equation: 12x = 1.5

Solution: x = 0.125

The ratio of the length to the width of a rectangle is 3:4. If the perimeter of the rectangle is 70 cm, what are the dimensions of the rectangle?

Equation: 2(3x) + 2(4x) = 70

Solution: length = 15 cm, width = 12 cm

The sum of two numbers is 45. If one number is twice the other, what are the two numbers?

Equation: x + 2x = 45

Solution: x = 15, y = 30

The length of a rectangle is three times its width. If the area of the rectangle is 180 sq units, what are the dimensions of the rectangle?

Equation: 3x*x = 180

Solution: length = 15 units, width = 5 units

The speed of a boat in still water is 10 km/h. If the speed of the current is 3 km/h, how long will it take the boat to travel 36 km downstream?

Equation: (10+3)x = 36

Solution: x = 3 hours

The ratio of the number of boys to the number of girls in a class is 3:5. If there are 48 students in the class, how many boys and girls are there?

Equation: 3x + 5x = 48

Solution: boys = 12, girls = 20


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Answer:

I believe the answer is 1/2

Step-by-step explanation:

Because if you flip the coin twice then the probability of it landing on heads twice is a one out of two so that's why the numerator would be 1 and denominator would be 2

Answer:

Hope this helps :)

Thanks for answering my questions :D

Step-by-step explanation:

Answer:

3x+1y+11

Step-by-step explanation:

hello

the answer to the question is A) 125

(if you need explanation, let me know in the comments)

explanation:

when you'd want to make a three letter password such as:

___ × ___ × ___

you can put 5 different letters in each blank space:

_5_ × _5_ × _5_

hence the answer is:

5 × 5 × 5 = 125

Answer:

0

Explanation:
If the spinner has 4 green sections in a circle and you spin it 24 times, the best prediction for the number of times it will land on yellow is 0. Since there are no yellow sections mentioned, it is unlikely for the spinner to land on yellow.

Answer: 0

Step-by-step explanation:

There's no yellow, so it's not possible to spin yellow.

(0/4)*24=0

Answer:

x+3 is the answer to this problem.

Step-by-step explanation:

If x > 5, then x + 3 is positive, so we can simplify the absolute value expression |x + 3| by removing the absolute value brackets and keeping the expression inside them:

|x + 3| = x + 3

Therefore, if x > 5, the simplified form of |x + 3| is just x + 3.

Answer:

6

Step-by-step explanation:

the answer has to be 6

Answer:

Step-by-step explanation:

Vertical angle means same angle .

x + 29 = 6x - 11

5x = 40

x = 8

Step-by-step explanation:

Set A:

Jill owes $12 altogether. ($4 + $4 + $4 = $12)

Positive values: 4, 4, 4

Negative values: None

Joey owes $16 altogether. ($4 + $4 + $4 + $4 = $16)

Positive values: 4, 4, 4, 4

Negative values: None

The product of -7 and -6 is 42.

Positive values: None

Negative values: -7, -6

Each friend owes $7. ($49 ÷ 7 = $7)

Positive values: 49, 7

Negative values: None

-81 divided by 9 is -9.

Positive values: 81, 9

Negative values: -81, -9

-100 divided by -10 is 10.

Positive values: 100, 10

Negative values: -100, -10

The total amount owed by all 18 customers is $270. ($15 × 18 = $270)

Positive values: 18, 15

Negative values: None

The product of -12 and -13 is 156.

Positive values: 12, 13

Negative values: -12, -13

-16 times 4 is -64.

Positive values: 16, 4, 64

Negative values: -16, -4, -64

The quotient when -45 is divided by -9 is 5.

Positive values: 45, 9, 5

Negative values: -45, -9, -5

Set B:

n + 23 = 41

Equation: n = 41 - 23

Solution: n = 18

n - 29 = 61

Equation: n = 61 + 29

Solution: n = 90

x + 36 = 53

Equation: x = 53 - 36

Solution: x = 17

x + 19 = 43

Equation: x = 43 - 19

Solution: x = 24

x/4 = 12

Equation: x = 4 × 12

Solution: x = 48

12x = 96

Equation: x = 96/12

Solution: x = 8

x/8 = 11

Equation: x = 8 × 11

Solution: x = 88

19x = 190

Equation: x = 190/19

Solution: x = 10

x/42 = 6

Equation: x = 42 × 6

Solution: x = 252


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Hello!

96 - x = 64

96 - x + x = 64 + x

96 = 64 + x

96 - 64 = 64 + x - 64

x = 32

ninety six minus ? equals sixty four

? = 96 - 64 = 32

Answer: x = 32

Step-by-step explanation: By using inverse operations, you may separate the variable x from the other variables in equation 96 - x = 64. Let's tackle it piece by piece:

Let's begin with the formula 96 - x = 64.

We must get rid of the 96 on the left side of the equation in order to focus on the variable x. 96 can be taken out of both sides of the equation to accomplish this: (96 - x) - 96 = 64 - 96.

To put it simply, -x = -32.

We want to remove the minus sign from the front of x so that we can solve for x. By multiplying both sides of the equation by -1, we can do this:

(-1)(-x) = (-1)(-32).

So, if we simplify, we get x = 32.

As a result, x = 32 is the answer to the equation 96 - x = 64.

Step-by-step explanation:

The area of a rhombus is given by the formula A = (1/2)bh, where b is the length of the base and h is the height.

In this case, the base is 20 centimeters and the height is 18.9 centimeters. So, the area of the rhombus is:

A = (1/2)(20)(18.9) = 189 square centimeters

Therefore, the answer is option B: 189 cm2.


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Answer:

The second choice ([tex]x + y[/tex])

Step-by-step explanation:

If x = [tex]-\frac{5}{6}[/tex] and y = [tex]\frac{4}{3}[/tex], then we can insert those in for [tex]x[/tex] × [tex]y[/tex].

To determine if this will have a positive outcome, we don't even need to solve! We know that a negative multiplied by a positive will result in a negative product.

Therefore, this is not the correct answer.

Looking at the second choice, [tex]x + y[/tex] we can insert our numbers in for [tex]x[/tex] and [tex]y[/tex]:

The outcome of the two is a positive, marking it the correct answer.

Even though we already know the answer, we can still check the other choices to be sure.

The outcome of this is a negative, meaning it is incorrect.

For the last choice, we can once again insert the fractions in for [tex]x[/tex] and [tex]y[/tex]:

[tex]-\frac{5}{6} - \frac{4}{3} =-\frac{13}{6}[/tex]

This product is once again a negative, meaning it is incorrect.

Therefore, the second choice is the correct answer.

James buys 4 pens for $3, so each pen costs $3/4. The total cost of x pens is $3x/4.

The points (0,0), (4,3), and (8,6) all lie on the line y = $3x/4. The point (6,8) does not lie on this line.

Therefore, the answer is (6,8).

Here I'll help!

multiply all of those numbers u see thank me later! ( u can use a calculator for multiplying all the sides!

Answer:I'm thinking it's 26.

Step-by-step explanation:

7.2 + 6= 13.2

10+2.8= 12.6

12.6+13.2= 26.

Answer:

120 bronze and silver medals were won.

Step-by-step explanation

silver = 30% of the medals

30% of 150 is 45

bronze = 50%

50% of 150 is 75

45 + 75 = 120