in a distribution for which the mean is 30 and the standard deviation is 6, what percentage of all scores occur at 36 or above?

Answer:

She saved 25%

Step-by-step explanation

(100 * 6) /24 = 25

Answer:

16

Step-by-step explanation:

180-164=16 do the answer is 16

Answer:

as 1 mile = 1.609 km

so 5miles = 8.045 km

so 2/3 of the trail = 2/3 × 8.045 = 5.3633333 (ans)

Hope it helps

A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest. Carlos walks 5.36 miles.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A trail is 5 miles long. Carlos walks 2/3 of the trail and runs the rest.

we know that 1 mile = 1.609 km

then, 5 miles = 5 × 1.609

                      = 8.045 km

so, 2/3 of the trail = 2/3 × 8.045

                             = 5.3633

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Answer:

the area of an outer part or uppermost layer of something.

The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

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Answer:

  A (top)

Step-by-step explanation:

You want to know which box plot represents the data in the given list.

The difference between the box plots is the location of the median.

When the data is sorted into order, it is ...

  {2500, 2712, 3500, 3876, 4247, 4753, 4983, 5000, 6214, 7500}

There are an even number of elements in this list, so the median is the average of the middle two:

  median = (4247 +4753)/2 = 9000/2 = 4500

The median is represented by the line inside the box of the box plot. The plot with its median at 4500 is the top one (shown in the attachment).

The top box plot represents the data.

<95141404393>

Answer:

A=-3

Step-by-step explanation:

To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.

To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer

Answer:

7 {No choices are given}

Step-by-step explanation:

Given problem,

→ (-5) - (-12)

Let's solve the problem,

→ (-5) - (-12)

→ (-5) + 12

→ (-5 + 12) = 7

Thus, the answer is 7.

Answer:

66........................

Answer:

A) 36 mi

Step-by-step explanation:

Got it right on edge 2021

The slope of the line that passes through the points (1, -1) and (5, -7) is -3/2. The correct option is A. -3/2

From the question, we are to determine the slope of the line that passes through the given points.

The slope, m, of a line that passes through the points (x₁, y₁) and (x₂, y₂) is given by

m = (y₂ - y₁) / (x₂ - x₁)

Where m is the slope

x₁, y₁) and (x₂, y₂) are points on the line

From the given information,

The given points on the line are (1, -1) and (5, -7)

Thus,

The slope of the line is

m = (-7 - (-1)) / (5 - 1)

m = (-7 + 1) / 4

m = -6 / 4

m = -3/2

Hence, the slope is -3/2

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Step-by-step explanation:

first we find the line (and it's equation) before we turn it then into an inequality.

the general slope intercept form of a line is

y = ax + b

a is the slope. this is expressed is the ratio of y changes / x changes when going from one point to another.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b (if not one of points gives us this value directly).

so, what points (best with integer coordinates) can we find ?

we see, the line goes through the origin (0, 0), which gives us also already the y- intercept (0).

and then there is (4, 3).

the slope bases on the coordinate differences :

x changes by +4 (from 0 to 4).

y changes by +3 (from 0 to 3).

so, the slope is 3/4.

and therefore, the whole line equation is

y = (3/4)x + 0 = (3/4)x

now, we see that the valid area of the inequality is everything below the line.

that means all y values smaller than what the line equation would calculate.

and the line itself is dotted and is therefore not included in the solution.

so, we need to use "<" instead of "<=".

and the correct inequality is

y < (3/4)x

Answer:

50

Step-by-step explanation:

something called a calculator

Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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Step-by-step explanation:

In this section we introduce the ideas of sets and Venn diagrams. A set is a list of objects in no particular order; they could be numbers, letters or even words. A Venn diagram is a way of representing sets visually.

To explain, we will start with an example where we use whole numbers from 1 to 10.

We will define two sets taken from this group of numbers:

Set A = the odd numbers in the group = { 1 , 3 , 5 , 7 , 9 }

Set B = the numbers which are 6 or more in the group = { 6 , 7 , 8 , 9 , 10 }

Some numbers from our original group appear in both of these sets. Some only appear in one of the sets.

Some of the original numbers don't appear in either of the two sets. We can represent these facts using a Venn diagram.

The two large circles represent the two sets.

The numbers which appear in both sets are 7 and 9. These will go in the central section, because this is part of both circles.

The numbers 1, 3 and 5 still need to be put in Set A, but not in Set B, so these go in the left section of the diagram.

Similarly, the numbers 6, 8 and 10 are in Set B, but not in Set A, so will go in the right section of the diagram.

The numbers 2 and 4 are not in either set, so will go outside the two circles.

The final Venn diagram looks like this:

We can see that all ten original numbers appear in the diagram.

The numbers in the left circle are Set A

{ 1 , 3 , 5 , 7 , 9 }

The numbers in the right circle are Set B

{ 6 , 7 , 8 , 9 , 10 }

In the rest of this section you will practise filling in Venn diagrams and using them.

The intersection of sets A and B is those elements which are in set A and set B. A diagram showing the intersection of A and B is on the left.

The union of sets A and B is those elements which are in set A or set B or both. A diagram showing the union of A and B is on the right.

Answer:

Step-by-step explanation:

 -3x + y = 0  ------------(I)

2x - 2y = -12   -----------(II)

Multiply equation (I) by 2 and add.

(I)*2           -6x + 2y = 0

(II)              2x - 2y   = -12

                 -4x + 0y  = -12

-4x = -12

Divide both sides by -4

x = -12/-4

x = 3

Plugin x = 3 in equation (I)

-3*3 + y = 0

-9 + y = 0

      y = 0 + 9

   y = 9

OB. The limit does not exist; the limit approaches infinity as x approaches 0. The statement (OB) is correct.

The given function to evaluate is lim(1 + 2x)/x, as x approaches 0.

We are to determine if the limit exists or not.

Evaluate the following limit or explain why it does not exist lim (1 + 2x) X-0:

4 lim (1+2x)* = X-0 (Type an exact answer.)OB.

The limit does not exist the limit approaches oo as x-0.OC.

The limit does not exist because l' Hôpital' s Rule cannot be applied. OD.

The limit does not exist because it is not defined as x-0.

Answer: OB. The limit does not exist; the limit approaches infinity as x approaches 0.

The statement (OB) is correct.

The limit does not exist; the limit approaches infinity as x approaches 0.

The limit of a function does not exist if it approaches infinity, which is the case here.

The limit in this case approaches infinity, as x approaches 0. Hence, the limit does not exist.

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If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Abdiel's total will be $23.65.

To find Abdiel's total, we can first calculate the discount he will receive from the coupon, and then calculate the tip he will leave. Finally, we can add up these two amounts to find the final total.

Calculate the discount: The subtotal of $21.50 will be reduced by 10%, so the discount will be $21.50 × 0.10 = $2.15

Calculate the tip before the discount: The subtotal of $21.50 will have a 20% tip added, so the tip will be $21.50 × 0.20 = $4.30

Add up the subtotal, discount, and tip.

The final total will be $21.50 + $4.30 - $2.15 = $24.65.

So, Abdiel's total will be $23.65.

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It will take the company 20.3 years to have a financial worth of $11.4

The estimate of profit is given as;

Profit = $0.6 million per year

This means that the engineers based their estimate per year

Hence, the unit of time is year

To do this, we make use of any variable of our choice.

In this case, we let x represents the variable of the amount of time.

In (a), we have:

Profit = $0.6 million per year

So, the expected financial status is 0.6x

This is the amount taken as loan by the engineers.

So, the financial status at the beginning is 1.8

Using the expressions above, we have the yearly worth to be:

y = 0.6x - 1.8

When the financial status is $11.4 million, we have:

0.6x - 1.8 = 11.4

Evaluate the like terms

0.6x = 12.2

Divide both sides by 0.6

x = 20.3

Hence, it will take the company 20.3 years to have a financial worth of $11.4

See attachment for the graph of y = 0.6x - 1.8

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Answer:

10

Step-by-step explanation:

for E abs F its 2 possible. For the penny also two possible. And 6 for the spinner. Since you would count all the slices from the first two and add a 2 for the penny.

a. The equation of the revenue function is R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b.  The revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, is $122,290

a) The revenue function can be obtained by multiplying the price and demand for each type of dog house and then adding them up. Therefore, the revenue function is:

R(x,y) = (8.6 - 0.4x - 0.1y)x + (8.6 - 0.13x - 0.7y)y

Simplifying and collecting like terms, we get:

R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b) To find the revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, we substitute x = 3 and y = 9 into the revenue function:

R(3,9) = 8.6(3) - 0.4(3)² - 0.1(3)(9) + 8.6(9) - 0.13(3)(9) - 0.7(9)²

Simplifying and calculating, we get:

R(3,9) = $122.29 thousand

Therefore, the revenue is approximately $122,290 when the demand for deluxe dog houses is 3 and regular dog houses is 9, in thousands of dollars.

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The average product of labor (APL) for the production function q = L^0.75 * K^0.25 is C. APL_L = 0.75 * L^(-0.25) * K^(0.25). The marginal product of labor (MPL) is E. MPL_L = 0.75 * L^(-0.25) * K^(0.25).

The average product of labor (APL) is the output produced per unit of labor input. For the given production function q = L^0.75 * K^0.25, the formula for APL_L is APL_L = q / L, which simplifies to APL_L = L^0.75 * K^0.25 / L = 0.75 * L^(-0.25) * K^(0.25). Therefore, the correct answer is option C.

The marginal product of labor (MPL) is the additional output produced when an additional unit of labor is employed while holding other inputs constant. To find MPL_L, we take the partial derivative of the production function with respect to labor (L). The formula for MPL_L is MPL_L = ∂q / ∂L = 0.75 * L^(-0.25) * K^(0.25). Hence, the correct answer is option E.

If K is given as 16, the specific values of APL_L and MPL_L can be calculated as follows:

APL_L = 0.75 * L^(-0.25) * 16^(0.25)

MPL_L = 0.75 * L^(-0.25) * 16^(0.25)

Without knowing the value of L, we cannot calculate the exact numerical values of APL_L and MPL_L, but we can observe their relationship to the variables L and K. APL_L decreases as L increases due to the negative exponent on L, while MPL_L remains constant at 0.75 * 16^(0.25) for any given value of L.

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Answer:

need the graph to know

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

See image

Answer:

Mary messed up on the second step. She should have also added 6 to the 24. If she had solved the equation the correct way her answer would have been m=10

Step-by-step explanation:

3m-6=24

Add 6 on both sides

3m=30

Divide by 3 on both sides

m=10

The solutions for the given conditions are;

a)Twenty people are to be divided into two teams with ten players on each team, this can be done in 184756 ways.

(b)Thirty-five discrete math students are to be divided into seven discussion groups, each consisting of five students, this can be done in \(\frac{35!}{(5!)^7}\)

Here we are given two different cases where we can solve both cases using Combinations.

(a) Twenty people are to be divided into two teams with ten players on each team, this can be done in;

⇒ ²⁰ C ₁₀ * ¹⁰ C ₁₀

= \(\frac{20!}{10! *(20-10)!}\) * 1

= 184,756

(b) Thirty-five discrete math students are to be divided into seven discussion groups, each consisting of five students, this can be done in;

⇒ ³⁵ C ₅ * ³⁰ C ₅ * ²⁵ C ₅ * ²⁰ C ₅ * ¹⁵ C ₅ * ¹⁰ C ₅ * ⁵ C ₅

= \(\frac{35!}{5!(35-5)!}*\frac{30!}{5!(30-5)!}*\frac{25!}{5!(25-5)!}*\frac{20!}{5!(20-5)!}*\frac{15!}{5!(15-5)!}*\frac{10!}{5!(10-5)!}*1\)

= \(\frac{35!}{(5!)^7}\)

Hence;

(a)Twenty people are to be divided into two teams with ten players on each team, this can be done in 184756 ways.

(b)Thirty-five discrete math students are to be divided into seven discussion groups, each consisting of five students, this can be done in \(\frac{35!}{(5!)^7}\)

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Answer:

65%=$260

Step-by-step explanation:

40%+25%=65%

65% of 400

65/100*400

=$260

Answer:

the answer is 45%

Step-by-step explanation:

if the $400 coat has already been marketed down (you are left with 60% of the $400 which is 0.6 x 400 = 240).  If you then have an additional 25% discount it would mean 75% of 240 which is 0.75 x 240 = 180

the effective percent discount would be 45% because as a fraction 180/400 = 9/20 or if you change it on your calculator using the S<>D button makes 0.45 as a decimal and to make it a percentage you just times by 100 and there you have your correct percentage