1-A) 2
B) 3
C) 5

2-A) up
B) left
C) down
D) right

3)A) f(x)-5
B) f(x+5)
C)f(x)+3
D)f(x)+2
E)f(x-2)
F)f(x-3)

Answer:

y = -2/5x + 5

Step-by-step explanation:

y = -2/5x + b

7 = -2/5(-5) + b

7 = 2 + b

5 = b

Answer:

Calculate simple interest on the principal only, I = Prt. Simple interest does not include the effect of compounding.

Production: 168,500 units.

Direct materials: 337,000 pounds.

Direct labor: Calculated based on units produced.

Factory overhead: Calculated based on direct labor hours.

1. Production Budget for the Third Quarter:

BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter

Budgeted sales units: 170,000

Add: Desired ending inventory units: 5,500

Total required units: 175,500

Less: Beginning inventory units: 7,000

Units to produce: 168,500

2. Direct Materials Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter

Units to produce: 168,500

Materials needed for production (pounds): 2 pounds per snowboard

Total materials required (pounds): 337,000 pounds

Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds

3. Direct Labor Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter

Units to produce: 168,500

Direct labor hours needed: 0.5 hour per snowboard

Cost of direct labor: Direct labor hours needed * Direct labor rate

4. Factory Overhead Budget for the Third Quarter:

BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter

Direct labor hours needed: Calculated from the direct labor budget

Budgeted variable overhead: Direct labor hours needed * Variable overhead rate

Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead

Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.

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Answer:

Perimeter = 62.84 ft

Explanation:

The perimeter of the figure is the length of the blue line:

So, we know the length of some parts of the blue line but the part that surrounds the semicircle is missing. So, we can calculate the length of that part using the following equation:

Where π is approximately 3.14 and r is the radius of the circle, in this case, 6 ft. So, the perimeter of the semicircle is:

Therefore, the perimeter of the figure is:

Perimeter = 16 ft + 12 ft + 16 ft + 18.84 ft

Perimeter = 62.84 ft

Answer:

b = 17    t = 12

Step-by-step explanation:

5b = 85

5b/5 = 85/5

b = 17

t/3 = 4

t/3 x 3 = 4 x 3

t = 12

The depth of the river is 3.612 feet.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Since last year the depth of the river was 4.2 feet deep and year it dropped 14%. The depth will be:

\(= 4.2 - (14\% \times 4.2)\)

\(= 4.2 - 0.588\)

\(= 3.612 \ \text{feet}\)

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Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

Answer:

Total framed print = 517

Step-by-step explanation:

Framed print:

Small = 23

Medium = 264

Large = 188

Extra large = 42

Total framed print = Small + Medium + Large + extra large

= 23 + 264 + 188 + 42

= 517

Total framed print = 517

Unframed print:

Small = 152

Medium = 544

Large = 496

Extra large = 81

Total unframed print= Small + Medium + Large + extra large

= 152 + 544 + 496 + 81

= 1,273

Answer:

C- 517

Step-by-step explanation:

The volume of the cube is 1 cubic foot.

Given that, each side of cube is 1 inch.

When dilation of the cubic inch by a factor of 12. Then each side of cube became 12 inches.

As we know that,

            \(12inch=1 foot\)

So that, each side of cube become 1 foot.

   Volume of cube \(=(side)^{3}\)

               \(Volume=1^{3}=1ft^{3}\)

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Answer:

its 1728

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

96/3=32

72/2=36

The algebraic expression for the scenario is 15 + x = 60

From the question, we have the following parameters that can be used in our computation:

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

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Answer:

$33.60

Step-by-step explanation:

Original price of shirt: $40

Percent discount: 20%

Amount of discount: 20% of $40 = 0.2 × $40 = $8

Price after discount: $40 - $8 = $32

Percent of tax: 5%

Amount of tax: 5% of $32 = 0.05 × $32 = $1.60

Total paid after discount and tax: $32 + $1.60 = $33.60

Answer: Lydia paid the amount of 33.60 dollar

Step-by-step explanation:

Retail price of shirt = 40 dollar

Discount = 20%

Discount value:

=20% of 40 dollar                   [ 20/100 * 40 ⇒ 1/5 * 40 ⇒ 40/5 = 8 ]

= 8 dollar  [ discount value]

Price of shirt after discount :

= 40 - 8

= 32 dollar

As she paid 5% discount on the discounted price ( 32 dollar )

So,  5% of 32 = 1.6 dollar        [ 5/ 100 * 32 ⇒  1/20 * 32 ⇒ 32/20 = 1.6]

Amount to pay = 32( price after discount)  + 1.6 ( Tax)

= 33.60 dollar

The process that generates more values that are more than 2 standard deviations from the mean is called a "fat-tailed" distribution.

In a fat-tailed distribution, the probability of extreme values occurring is higher compared to a normal distribution.

To understand this concept, let's consider two processes: Process A and Process B.

Process A generates a dataset with a normal distribution, while Process B generates a dataset with a fat-tailed distribution.

In a normal distribution, the majority of the data falls close to the mean, with fewer values farther away.

The probability of values more than 2 standard deviations from the mean is relatively low.

On the other hand, in a fat-tailed distribution, there is a higher likelihood of extreme values occurring.

This means that the probability of values more than 2 standard deviations from the mean is higher.

For example, let's say we have two datasets: Dataset A generated by Process A and Dataset B generated by Process B.

We calculate the mean and standard deviation for both datasets.

In Dataset A, if the mean is 50 and the standard deviation is 5, then values more than 2 standard deviations away from the mean would be greater than 60 or less than 40.

In Dataset B, if the mean is 50 and the standard deviation is also 5, then values more than 2 standard deviations away from the mean would have a wider range.

These values could be significantly higher than 60 or lower than 40, depending on the specific distribution of Dataset B.

Therefore, if Process B generates a fat-tailed distribution, it is more likely to produce values that are more than 2 standard deviations from the mean compared to Process A and its normal distribution.

In summary, the process that generates more values that are more than 2 standard deviations from the mean is a fat-tailed distribution, which has a higher likelihood of extreme values occurring.

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Step-by-step explanation:

perpendicular bisector

AB= 17

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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Answer:

- 1 < x < 4

Step-by-step explanation:

\( - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}\)

Answer:

See below

Step-by-step explanation:

The inequality in the picture is the line to the left from  15

Set builder notation

Interval notation

Answer:

[0,1.5]

Step-by-step explanation:

goes right ->

Answer:

xz=255

Step-by-step explanation:

17 is prime so yz has to be 1*17

if that's the case xy=15*1

so 15*17=255

Answer:

False

Step-by-step explanation:

C=2πr times 10 laps

She did πr times 10 laps then multplied it by 10 again.

she needed to do 2π(12) times 10 which is equal to 754.

The calculation of the total distance run by Erin was calculated wrongly.

The total distance that Erin would run can be determined by multiplying the number of laps run by the circumference of a circle.

Circumference of a circle = 2πr

Where:

Circumference of a circle = 2 x 3.14 x 12 = 75.36 yards

Total distance = 75.36 x 10 = 753.60 yards

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As a result, we may draw the conclusion that there is a connection between the amount of time spent training and the total number of points scored during a game.

The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables. Diagrams created by hand or on a computer are also acceptable. Move 2 units to the right after starting at the origin before going 3 units up. The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points. The pink dot with the letter P thus stands for 2.3. Before creating a line chart, you need first generate a number line for each value in your data collection. Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.

The right response is: There is a significant linear correlation between the quantity of points scored in a game and the amount of time a basketball player spends practising, according to the scatter plot.

A positive linear relationship between practise time and game point totals is shown in the scatter plot. This implies that as practise time grows, so do the amount of points scored during a game. Furthermore, the points are closely packed together along a straight line with an upward slope, suggesting that the link is strong

As a result, we may draw the conclusion that there is a connection between the amount of time spent training and the total number of points scored during a game. This makes reasonable because training helps athletes develop their

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(a) The equation to represent the revenue, R, as a function of n is :  R(n) = ($27 - $1.50n)(300 + 25n)

(b) R'(n) = 675 - 450 - 75n

(c)  R'(6) = -225

(d) R'(0) = 225

(e) n = 3

(f) The significance of the point where R'(n) = 0 is that it represents the maximum revenue for SAC.

a) To write an equation for the revenue, R, as a function of n, the number of price decreases by $1.50, we first need to determine the price and quantity sold as functions of n. The price per shirt after n price decreases is $27 - $1.50n, and the quantity sold is 300 + 25n. The revenue is the product of price and quantity, so the equation is:

R(n) = ($27 - $1.50n)(300 + 25n)

b) To determine R'(n), we need to find the derivative of the revenue function with respect to n. First, expand the equation:

R(n) = 8100 + 675n - 450n - 37.5n^2

Now, take the derivative:

R'(n) = 675 - 450 - 75n

c) To determine R'(6), plug n = 6 into the equation:

R'(6) = 675 - 450 - 75(6) = 225 - 450 = -225

d) To find where R'(n) = 0,  plug n = 0 into the equation:

R'(0) = 675 - 450 - 75(0) = 225

e) To determine when R'(n) = 0, solve the equation from part d:

225 = 75n
n = 3

f) The significance of the point where R'(n) = 0 is that it represents the maximum revenue for SAC. At this point, the rate of change in revenue is zero, and any further price decreases will result in a decrease in revenue. Therefore, SAC should decrease the price three times (by $1.50 each time) to maximize their revenue from selling sweatshirts.

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Answer:

A) 11.66190379

B) 9.74679

C)10.24695

D)6.32455532

Step-by-step explanation:

All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.

The answer is option 3: at least 22%, but less than 29%.

Let J be the random variable representing Jordan's arrival time, and let T be the random variable representing Taylor's arrival time.

Then, J is uniformly distributed between 8:00AM and 8:50AM, which means that J ~ U(480, 530) (measured in minutes past 12:00AM).

Similarly, T is uniformly distributed between 8:00AM and 8:30AM, which means that T ~ U(480, 510).

We want to find the probability that they meet, which means that Jordan arrives before Taylor leaves (within 10 minutes of Taylor's arrival time). Let's assume that Taylor arrives at time t (measured in minutes past 12:00AM). Then, Jordan needs to arrive between t-10 and t in order to meet Taylor.

The probability of this happening is:

P(J ∈ [t-10, t]) = (t - (t-10)) / (530 - 480) = 10/50 = 0.2

Since Taylor's arrival time is also uniformly distributed, we need to take the average of this probability over all possible values of t between 480 and 510:

P(meeting) = E[P(J ∈ [t-10, t])] for t ∈ [480, 510]

P(meeting) = (1/31) ∫₄₈₀ ⁴⁹⁰ [0.2] dt + (1/31) ∫₄₉₀ ⁵₀₀ [0.2] dt + (1/31) ∫₅₀₀ ⁵₁₀ [0.2] dt

P(meeting) = (1/31) [((0.2)(10)) + ((0.2)(20)) + ((0.2)(30))]

P(meeting) = 0.1935

Therefore, the probability that Jordan and Taylor meet is approximately 0.1935, which is between 16% and 22%.

Therefore, the answer is option 3: at least 22%, but less than 29%.

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The amount of paper needed to cover the rectangular pyramid aquarium is calculated as: 128 cm².

A rectangular pyramid is a 3-dimensional solid shape that has a rectangular base and triangular faces that meet at a single vertex. To find the area of a rectangular pyramid aquarium, we need to find the sum of the areas of its faces.

Area of base rectangle = length * width = 8 * 5 = 40 cm².

Area of 2 identical triangular faces = base * height = 8 * 6 = 48 cm².

Area of 2 identical triangular faces = base * height = 5 * 8 = 40 cm².

Amount of paper needed to cover the glass = surface area = 40 + 48 + 40

= 128 cm².

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Answer:

\(\huge\underline\color{skyblue}{Answer ☘}\)

\(3(n - 2) - 1 < 2 - 5(n + 5) \\ 3n - 6 - 1 < 2 - 5n - 25 \\ 3n - 7 < - 5n - 23 \\ 3n + 5n < - 23 + 7 \\ 8n < - 16 \\ n < \frac{ - 16}{2} \\ n < - 2\)

therefore..

hope helpful~

Step-by-step explanation:

3(n - 2) - 1 < 2 - 5(n + 5)

3n - 6 - 1 < 2 - 5n - 25

3n - 7 < -23 - 5n

3n + 5n < -23 + 7

8n < -16

n < -16/8

n < 2

Option C

Answer:

5/42 and 3/4

Step-by-step explanation:

8/21 x 5/16 =

in simplest form = 5/42

12/25 x 15/16

in simples form =  3/4

Answer:

1. 5/42
2. 9/20

Step-by-step explanation: