2. Write an equation that demonstrates the identity

property of multiplication. Your equation should include a

fraction multiplied by a whole number that will result in a

product less than 25. (SOMEONE PLS HELP FAST!)

The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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The probability of selecting a piece of pottery is 7/26, and when converted to a percentage and rounded to the nearest whole percent, it is approximately 27%.

An archaeologist uncovers 26 artifacts from a site. The types of artifacts are shown below. The horizontal axis represents tools, pottery, and coins. The vertical axis represents the number of artifacts and ranges from 0 to 16, in increments of 2. The number of artifacts of tools is 14. The number of artifacts of pottery is 7. The number of artifacts of coins is 5.

The total number of artifacts at the site = 26

Number of pottery artifacts = 7

Probability of selecting a piece of pottery = Number of pottery artifacts/Total number of artifacts

Probability of selecting a piece of pottery = 7/26

If we want to express this probability in a percentage, we can convert it by multiplying it by 100.

Thus,Probability of selecting a piece of pottery = 7/26 = 0.269 = 26.9% (rounded to the nearest whole percent)

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To express the fractions 5/12 and 3/8 with a common denominator, we need to find their least common multiple (LCM) and use it as the denominator for both fractions.

The prime factorization of 12 is 2² × 3. The prime factorization of 8 is 2³.

To find the LCM, we take the highest power of each prime factor that occurs in the prime factorizations:

LCM = 2³ × 3 = 24.

So, we need to convert 5/12 and 3/8 into fractions with a denominator of 24:

5/12 = 5 × (2² × 3) / (2² × 3)

= 20/243/8

= 3 × (2³) / (2³ × 3)

= 9/24

Therefore, the fraction pair that shows the fractions 5/12 and 3/8 expressed with a common denominator is 20/24 and 9/24.

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Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

please mark brainliest!

Step-by-step explanation:

Sum of angles in a triangle = 180°.

=> s° + (s/7 + 3)° + (s/7 - 3)° = 180°

=> 9/7 * s° = 180°

=> s° = 180° * (7/9) = 140°

Hence the value of s is 140.

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Answer:

0.1538

Explanation:

An standard deck has 52 cards. From the 52 cards there are four 2 and four aces. So there are 8 cards that are a 2 or an ace. Then, the probability will be equal to:

P = 8/52 = 0.1538

So, the answer is 0.1538

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

Answer:

A) 6

Step-by-step explanation:

x + 8 > 15

x > 15 - 8

x > 7

8, 10, and 12 are all greater than 7. 6 is NOT

Answer: is A because 6+8=14 when the rest of the choices are bigger then 15

We have the following coordinates given:

And we want to find US so we can use the following formula:

And using this formula we got:

And after solve we got:

and rounded to the nearest cent would be Us= 27.46

The equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

To find the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection, we need to determine the derivative of the function and evaluate it at the point of inflection. First, let's find the derivative of y with respect to x: dy/dx = 3x^2 + 6x. The point of inflection occurs where the second derivative of the function changes sign. Taking the derivative of dy/dx, we have: d^2y/dx^2 = 6x + 6. Setting d^2y/dx^2 equal to zero and solving for x, we find: 6x + 6 = 0; x = -1.  At x = -1, the point of inflection is (-1, y) on the original function. To find the slope of the tangent line at this point, we substitute x = -1 into the derivative: dy/dx = 3(-1)^2 + 6(-1) = -3. So, the equation of the line tangent to the function at its point of inflection is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we have: y = -3x + b

To find b, we substitute the coordinates of the point of inflection (-1, y):y = -3(-1) + b; y = 3 + b. Since the point of inflection lies on the line, we can substitute the y-value and solve for b: 3 + b = x^3 + 3x^2 + 2; b = -6. Therefore, the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

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Answer: look at the picture if you want me to solve for s or a here

Step-by-step explanation: hope this help

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

700rs

Step-by-step explanation:

Let the marked Price be Rs a

Discount percent = 20

=> Discount × 100 / Marked Price = 20

=> Discount × 100 /a = 20

=> Discount = 20a/100

=> Discount = a/5

Now,

Marked Price - Discount = Selling price

=> a - a/5 = 560

=> 4a/5 = 560

=> a = 560 ×5 / 4

=> a = 140 × 5

=> a = 700

Marked Price = Rs 700

Answer: VAT = Rs. 288

Step-by-step explanation:

2400 - 20% + x = 2208

2400 - 480 + x = 2208

1920 + x = 2208

x = 2208 - 1920

x = 288

The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.

To determine the relationship between average fixed cost (AFC) and average total cost (ATC) at a quantity of output of 1,000 units, we need to understand the formulas for AFC and ATC.

AFC is calculated by dividing total fixed cost (TFC) by the quantity of output (Q). ATC is calculated by dividing total cost (TC) by the quantity of output (Q). Mathematically, we have:

AFC = TFC / Q

ATC = TC / Q

Given that AFC is $8 at a quantity of output of 1,000 units, we can substitute the values into the AFC formula:

$8 = TFC / 1,000

Multiplying both sides of the equation by 1,000, we find:

TFC = $8,000

Now, we are given that ATC is $12 at the same level of output. Substituting the values into the ATC formula, we have:

$12 = TC / 1,000

Multiplying both sides of the equation by 1,000, we find:

TC = $12,000

To summarize:

Total fixed cost (TFC) = $8,000

Total cost (TC) = $12,000

Therefore, it follows that the difference between AFC and ATC lies in the variable cost component. The AFC represents the fixed portion of the total cost, while the difference between ATC and AFC represents the variable cost per unit.

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Solving the Inequality will give us x > -1.25

We have the inequality:-

0. 2(x + 20) – 3 > –7 – 6. 2x

Here we are given a set of instructions and need to use them to get the final answer.

First, we need to use the distributive property. Using that, we will eliminate the brackets to get

0.2x + (0.2 X 20) - 3 > - 7 - 6.2x

or, 0.2x + 4 - 3 > - 7 - 6.2x

Now, we need to combine the like terms. Here it would be 4 and -3. Hence we get

0.2x + 1 > - 7 - 6.2x

Next, we need to use the addition property of inequality, which states that for terms a, b, c

if a > b

then, a + c > b + c

Hence here we will add 6.2x to get

0.2x + 1 + 6.2x > - 7 - 6.2x + 6.2x

or, 6.4x + 1 > - 7

Similarly, applying the subtraction property of inequality states

if a > b

then, a - c > b - c

Here we need to subtract 1 to get

6.4x + 1 - 1 > - 7 - 1

or, 6.4x > - 8

Using the division property will give us

x > - 8/6.4

or, x > 1.25

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When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

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The two equations that represent a shift of the graph are  y=(x-12)³ and y=(x+8)³.

What is an equation?

Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.

The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.

=> y=(x-12)³

=> y=(x+8)³

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

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Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

The distance between the two locations is 7.81 miles

Given the point at (4,3) represents the location of her house, and the point at (10, 8) represents the location of the gas station.

The distance between the two locations will be determined using the formula

D \(=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Substitute the given coordinate into the formula

\(D=\sqrt{(-6)^2+(-5)^2}\\D=\sqrt{(4-10)^2+(3-8)^2}\\D=\sqrt{36+25}\\ D=\sqrt{61}\\ D=7.81miles\)

Hence the distance between the two locations is 7.81 miles

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Answer:

1/6 x + 27 combine like terms to get the answer :)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

let there be x questions on the test

80% of x = 20

80% * x = 20

80% = 0.8

0.8 * x = 20

divide both sides by 0.8 to isolate x

x = 20/0.8 = 25

Answer:

15 + 5n

Step-by-step explanation:

you have to use the distributive property so you distribute the 5 outside of the parentheses to the 3 and the n inside of the parentheses to do so you multiply 5x3 and 5xn 5x3 is 15 and 5xn is just 5n so the answer is 15 + 5n hope this helped you

Answer:

（1）：

angle1/2/3/4=90

angle6=51

angle7=40

angle8=89

angle9=51

angle10=40

angle12=50

angle13=130

angle14=50

Step-by-step explanation:

Q1：

angle1 2 3 4 divided 360 into four equal parts

so 360/4=90

angle11=110degree

so angle12 is 180-130=50 degree

because angle 12 3 10 are in triangle

their sum is 180

so angle 10=180-90（angle3）-50（angle12）=40

because angle 10 5 6 sum is 180

so angle 6 is=180-89（angle5）-40（angle10）=51

because angle 5 6 7 sum is 180

angle7=180-51（angle6）-89（angle5）=40

angle8=angle5=89

angle9=angle6=51

angle12 &13sum is 180

so angle13=180-50=130

angle14=angle12=50

Answer:

B.) x > -1 and x ≤ 4

Step-by-step explanation:

Hope this helps!

The recurrence relation N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1) represents the number of ways to spend all the money when we have a certain amount of dollars and four options for spending it: milk, juice, coffee, and cookies.

Let's denote the number of ways of spending all the money as N(n), where n represents the amount of money we have. Our goal is to find the recurrence relation for N(n).

To start, let's consider the base cases. When n = 0, it means we have no money left. In this case, there is only one way to spend the money, and that is by not buying anything. Therefore, N(0) = 1.

Now, let's consider the cases when n > 0. We have four options for spending the money: milk, juice, coffee, and cookies. Let's analyze each option separately.

If we decide to buy milk, it costs $2. After buying milk, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying milk is equal to N(n - 2).

If we decide to buy juice, it also costs $2. After buying juice, we are left with n - 2 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 2).

Therefore, the number of ways of spending all the money when buying juice is equal to N(n - 2).

If we decide to buy coffee, it costs $3. After buying coffee, we are left with n - 3 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 3). Therefore, the number of ways of spending all the money when buying coffee is equal to N(n - 3).

If we decide to buy cookies, it costs $1. After buying cookies, we are left with n - 1 dollars. We need to find the number of ways to spend the remaining money, which is N(n - 1). Therefore, the number of ways of spending all the money when buying cookies is equal to N(n - 1).

Now, let's consider the total number of ways to spend all the money when considering all the options. Since each option is independent, we can add up the number of ways for each option. Therefore, the recurrence relation for N(n) can be expressed as:

N(n) = N(n - 2) + N(n - 2) + N(n - 3) + N(n - 1)

This recurrence relation allows us to compute the number of ways of spending all the money for any given amount of money. By using dynamic programming techniques, we can start with the base case N(0) = 1 and compute the values of N(n) iteratively until we reach the desired amount of money.

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The complete table is

x -12 -6 3 15

y -6 5 15 15

The domain is given as:

Domain = {-12, -6, 3, 15}.

The incomplete table is given as

x

y -6 5 15 15

Enter the domain in the x values

x -12 -6 3 15

y -6 5 15 15

Hence, the complete table is

x -12 -6 3 15

y -6 5 15 15

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