I need help to understand why there is a 12 in the formulaThe repayment parameters of the $10,000 loan Trey qualifies for are given as follows; = $185.48 × 5 × 12 = $11,128.8While the total repayment amount for the 10 year loan term, '' is given as follows; = $102.63 × 10 × 12 = $12,315.6The difference between the total repayment for the 10-year term and the 5-year term loan, - , is given as follows; - = $12,315.6 - $11,128.8 = $1,186.80Therefore, the 5-year term is lower than the 10-year term by $1,186.80

The probability that the average score for the week is between 220 and 228 = 0.7641

Susan's score on bowling follows Normal Distribution.

Average score or mean, μ = 225

Standard Deviation, σ = 13

Number of times Susan bowled, n = 16

Since the scores follows Normal Distribution, the z-score = (x-μ)√n/σ

When the score, x = 220,

z = (220-225)√16/13

  = -20/13

  = -1.538

When the score, x = 228,

z = (228-225)√16/13

  = 12/13

  =0.923

Hence The probability that the average score for the week is between 220 and 228 = P(220 < x < 228)

                      = P(-1.538 < z < 0.923)

                      = P(z < 0.923) - P(z < -1.538)

                      = (0.5 + 0.3212) -( 0.5 - 0.4429) [From the z-tables]

                      = 0.7641

The question is incomplete. Find the complete question below:

Susan has been on a bowling team for 14 years. After examining all of her scores over that period of time, she finds that they follow a normal distribution. Her average score is 225, with a standard deviation of 13. If during a typical week Susan bowls 16 games, what is the probability that her average score for the week is between 220 and 228?

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Answer:

false

Step-by-step explanation:

because

i dont know how to explain but hope this help you

-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6

as you know,negative number also know the smallest number compared to positive number, but but sometimes negative number can be the big number such as : x > -7 then the answer is -1 because -1 near at 0, imagine you went in deep sea 0 between the sky and the sea, and 6 above the sky, -7 bottom of the sea, if you go down,means that your going bottom of the sea,while if you go up,itll increase cuz youre going up

the further a negative number is from the origin, the smaller the value of the number, the further away the positive number, the greater the value of the number

HOPE THIS HELP E

Answer:

The answer is False.

Ten is the product of two and five.

Product is the result of the multiplication process. Multiplication is a mathematical operation that entails adding a number repeatedly over a number of times. The sign that is used to represent multiplication is ×.

In order to determine the product of 2 and 5, add to five times.

2 + 2 + 2 + 2 + 2 = 10

This is usually written as 2 x 5 = 10

Other mathematical operations are addition, subtraction and division. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of finding the difference between two or more numbers. Division is the process of determining the quotient of a number.

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Answer:

21 degrees

Step-by-step explanation:

Let the change in temp. be y.

-14.8 + y = 6.2

y = 21

Therefore, the change in temp. is 25 degrees.

We see, the second number is 20 less than the first number, the third number is 20 less than the second number, ..

So, the pattern is : We minus 20 from a term to get the next term right after.

From the 1st term to the 60th term, there are 59 spaces.
Therefore, the 60th term = -29 - 59 x 20 = -1209

Answer:

[tex]12c⁹+27c⁷[/tex]

Step-by-step explanation:

3c⁶(9c+4c³)

=(3c⁶)(9c+4c³)

=(3c⁶)(9c)+(3c⁶)(4c³)

=27c⁷+12c⁹

=12c⁹+27c⁷

Answer: The slope of the graph is negative 4.

ok

P1 = (2, 3)

P2 = (2, 5)

1.- Find the slope

slope = m = (y2 - y1) / (x2 - x1)

-Substitution

m = (5 - 3) / (2 - 2)

m = 2/0

The slope is a horizontal line because does not exist.

2.- Find the equation of the line

y - y1 = m(x - x1)

y - 3 = 0

y = 3 This is the standard form of your question.

The equation is formed and solved below.

What is an equation?

A mathematical equation is a calculation that uses the matching sign to represent the similarity of two expressions. A polynomial equation is the most prevalent kind of equation. An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance.

Lane ate = x marshmallows (let)

Chad ate = x + 5 marshmallows

Jeff ate = (x + 5) + 7 = x + 12 marshmallows

Then, the equation formed is

x + x + 5 + x + 12 = 254

The equation is solved as

3x + 17 = 254

or, 3x = 254 - 17

or, x = 237/3 = 79

Jeff ate = 79 + 12 = 91 marshmallows

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Answer:

p > 37

Step-by-step explanation:

Multiply both sides by 3 so 9 x 3 is 27 so p > 37

Treat it like an equal sign and solve, but if you were to divide by a negative you would need to switch the sign, you don't need to though because you didn't divide by a negative in this one

The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)

The greatest common factor (GCF) is the largest factor two or more numbers have in common

From the question,

-2x^2-4x-6

By collecting like terms

-2(x^2-2x-3)

By factoring x^2-2x-3

-2(x^2-3x+1x-3)

Collecting like terms

-2(x^2-3x)+(x-3)

-2(x(x-3)+1(x-3))

-2(x+1)(x-3)

hence  -2(x+1)(x-3) is the Greatest Common factor of  -2x^2-4x-6 is

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current flowing through the light bulb is 2.2 Amperes

Step by step explanation:

Step 1:

Given the voltage = 60 Volts and power = 174 Watts.

Find the current using the formula , P = V . l

=> l = P/V=60/174= 0.3448275862

Considering the given scale, it is found that:

1. The distance between the two cities is of 325 km.

2. 43.3 cm should be used to represent the distance.

3. The scale of the map is of 1:9000000.

A scale is how much each unit in the drawing represents in actual distance.

For item 1, the scale of 1:5000000 means that each unit on the graph represents 5,000,000 units of actual distance.

The distance on the map is of 6.5 cm, hence the actual distance is of:

6.5 x 5000000 = 32,500,000 cm = 325 km.

For item 2, the scale is of 1:1500000, meaning that each cm of drawing is equivalent to 1,500,000 cm of real distance = 15 km.

Hence, the number of centimeters to represent a distance of 650 km is given by:

650/15 = 43.3 cm.

For item 3, we have that 7 cm represent 630 km = 63,000,000 cm, hence:

63,000,000/7 = 9000000.

Meaning that the scale is given by:

1:9000000.

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Answer:

Where is question

Step-by-step explanation:

Sorty

Through direct proportionality, we calculated that Seven questions will be answered in 10 minutes and 30 seconds.

Seven questions will need to be answered in 10 minutes and 30 seconds.

Direct proportionality: What is it?

The relationship between two values where their ratio equals a constant number is known as a direct proportion or direct variation. In mathematics, a straight line is used to express direct proportionality, and its equation is of the form y = kx , k = y/x, where [k] is the constant.

The assumption is that the time it takes to finish each question and the number of completed questions [y] are inversely proportional to one another.

The time [x] it takes to complete them is directly proportional to the number of questions [y] that are answered. As a result, y = kx, k = y/x, and y is directly proportional to x.

Thus, we can write:

y₁/x₁ = y₂/x₂

Substituting the values,

4/6 = 7/x₂

x₂ = (7 x 6)/4

x₂ = 21/2  

x₂ = 10.5

x₂ = 10 minutes 30 seconds

Therefore, Seven questions will be answered in 10 minutes and 30 seconds.

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Answer: Y - 2

Step-by-step explanation: (6Y / 6) - (12 / 6) = Y - 2

The sum of 26.541 + 14.2 is greater than the integer 40, as the sum is equivalent to 40 + 0.741.

In this problem we need to compare the sum of two real numbers with an integer, also a real number. The two real numbers can be written as the sum of an integer and excess decimal part. Then, the given sum can be rewritten as:

x = 26.541 + 14.2

x = (26 + 0.541) + (14 + 0.2)

This sum must be compared with an integer, 40.

x = (26 + 14) + (0.541 + 0.2)

x = 40 + 0.741

Then, by direct comparison, we see that the sum of 26.541 + 14.2 is greater than 40.

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Using the diagram and given measurements the area of the shaded potion is solved to be 46 cm^2

Area of the shaded portion is solved using the following factors

Entire area of the rectangle

= length *  width

= 42 * 21

= 882 cm^2

Area of the smaller rectangle

= length * width

= 28 * 15

= 420 cm^2

Area of the shaded portion

= Entire area of the rectangle  -  Area of the smaller rectangle

= 882 cm^2 - 420 cm^2

= 462 cm^2

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Answer: b

Step-by-step explanation:

By corresponding angle we prove  a parallel line a ║ b .

What is an example of parallel lines?

Given,  c ║d

           ∠1 ≅ ∠7

   ∠1 = ∠3                 ( corresponding question)

   ∠5 = ∠7                  ( corresponding question)

then a ║ b

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1. The unit cost of red potatoes is $1.45/pound

2.  The unit cost of white potatoes is $1.81/pound

3.  Red potatoes bag is a better buy as it is cheaper than white potatoes while giving the same values of product.

A price is referred to as a unit cost when it is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can. Divide the ratio's terms if you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price.

For example,

$5.50 ÷ 5 pounds = $1.10 per pound

4) 4/1.8                                                        5)   5/6

  = 2.9                                                            = 0.83

  6/2.4                                                               12/14

  =2.5                                                             = 0.86

6 envelopes is better buy                    5 songs download is a bette buy

6) 3/9                                                       7)   12/6

  = 0.3                                                           = 2

  5/12                                                            100/28

  = 0.42                                                        = 3.57

3 games of laser tag is better buy        12 gifts is a better buy

8) 20/5                                                      9)   16/3.04

  = 4                                                               = 5.26

  100/20                                                         24/5.04

  = 5                                                               = 4.76

  20 arcade tokens is better buy           24 bottles of water is a better buy

10) 2/3.50                                                      11)   100/2

  = 0.57                                                               = 50

  5/6.75                                                               145/4.35

  = 0.74                                                                = 33.3

  2 pounds box is better buy           145 napkins is a better buy

12) 12/2.88                                                     13)   250/40

  = 4.16                                                               = 6.25

  15/3.30                                                               600/138

  = 4.54                                                                = 4.35

  12-ounce box is better buy             600 GB Hard drive is a better buy

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x = 7.5 cm is value of v by Pythagorean theorem.

What is the Pythagorean theorem ?

use Pythagorean theorem in triangle,

 8.5² = 4² + x²

 72.25 = 16 + x²

 72.25 - 16 = x²

   56.25  = x²

      x = √56.25

      x = 7.5 cm

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EXPLANATION:

We are given the absolute value functions below;

Note that for this function, we have a v-shaped graph, since the values of the output is always positive (absolute value) and the vertex is at (0, 0). Also, if the value of a in the function;

is positive, the graph opens upwards, and if the value of a is negative;

then it opens downwards.

Therefore,

ANSWER;

The expression that represents the perimeter of the other shape is 9x + 6y.

Option(b) is the correct one.

Expressions in mathematics are mathematical statements that comprise at least two terms that contain numbers, variables, or both, and are joined by an operator. Addition, subtraction, multiplication, and division are all examples of mathematical operators.

Given:

Expression for the sum of the perimeter of two shapes = 13x + 4y

Expression for the perimeter of one shape = 4x - 2y

Expression for the perimeter of the other shape is,

(13x + 4y) - (4x - 2y)

= 13x - 4x + 4y + 2y (combine the like terms and solve)

= 9x + 6y

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Expression to represent the total points 3t + 3e + 4f

What is Algebra?

Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.

Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f)

                    = 3t + 3e + 4f

Hence, Expression to represent the total points the football team scored

3t + 3e + 4f

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Answer:

Below in bold.

Step-by-step explanation:

f(1) = 10

f(2) = f(2-1) - 1.5 = 10 - 1.5 = 8.5

f(3) = f(2) - 1.5 = 7.

a. This is Arithmetic.

b. The first 5 terms are:10. 8.5. 7, 5.5, 4.

c. The first point on the graph will (1, 10).

It will be a straight line descending to the right.

Graph D shows the line y - 4 = 2 (x + 1).

slope: 2

The act of displaying linear equations with one or two variables on a graph is known as "graphing linear equations." A linear equation is a one-degree equation, meaning that the variable's highest power or exponent value may never be more than 1, under any situation. Finding the values of the variables in a linear equation is known as solving it. The graphical approach is one way to solve linear equations, which can have one or two variables.

They are algebraic equations with 2 variables of maximum power 1 and real constants in each term. The linear equation is shown in y=mx+b form, sometimes referred to as the y-intercept form.

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Answer:

Step-by-step explanation:

60 divided by 4 is 15 so 1/4 of an hour is 15 minutes. so three fourths is 45 minutes and one hour and a half is the extra hour that has not been touched so add the last 15 min from the 3/4 onto that so it still has 1 hour and 45 minutes to bake

Answer:

It still has to bake for 1 3/4 hours

Step-by-step explanation:

So, the way I do it, you start by making 2 1/2 an improper fraction, which would be 5/2. Then, you have to get it so 5/2 and 3/4 have common denominators. The fastest way to do this is to multiply the denominator 2 by 2, which means you have to do the same to the numerator. So, you have 10/4-3/4, which equals 7/4. Now, you can simplify. 7/4 = 1 3/4