A cost center’s performance report does not include

The measures of the angles are (a) 180-C, and 180-A (b) 180 (c) 180 and supplementary.

You should understand that  cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle

For better understanding note the following

(a) m<A = 180 - m<C

m<C = 180 - m<A

(b)  m<A + m<C = 180 .......... (opposite angles are supplementary)

(c) m<A + m <C = 180 (Sum of opposite angles = 180⁰)

(d) <A and <C are supplementary angles

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the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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Answer:

\( \frac{29}{2} \)

ANSWER

0.2546

EXPLANATION

The movie theatre's daily revenue, X, is normally distributed with a mean of $3152 and a standard deviation of $1281.

We have to find the probability that the theatre generates more than $4000 in revenue on a randomly selected day,

To find this probability, we have to standardize X using the formula,

So the probability is,

Now, we have to look up this z-value in a z-score table. These tables usually show the area to the left of the z-score - this means that they show the probability for a z less than the z-score, so we have to find the complement,

In a z-score table,

So the probability is,

Hence, the probability that the theatre generates more than $4000 in revenue on a randomly selected day is 0.2546.

The tree is approximately 12 feet tall to the nearest tenth of a foot.

We have,

To find the height of the tree, we can set up a proportion using the measurements of the shadow.

Since we know that Tyler is 6 feet tall and his shadow is 10 ½ feet long, we can set up the following expression:

Tyler's height / Tyler's shadow length = Tree's height / Tree's shadow length

6 feet / 10.5 feet = Tree's height / 21 feet

To find the tree's height, we can cross-multiply and solve for it:

6 feet x 21 feet = 10.5 feet x Tree's height

126 feet = 10.5 feet x Tree's height

Dividing both sides of the expression by 10.5 feet:

126 feet / 10.5 feet = Tree's height

12 feet = Tree's height

Therefore,

The tree is approximately 12 feet tall to the nearest tenth of a foot.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

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As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

Where two or more line segments or edges meet, a shape has a vertex (like a corner). Vertex is the singular form of the noun. A cube, for instance, has eight vertices, whereas a cone only has one. When discussing 2D and 3D shapes, the term "vertices" is preferred over the term "corners."

Given:

QRST is the number.

There is a translation rule \(T_{(3,-2)} (QRST)\)

In search of:

following translation, the vertex's coordinate.

Solution:

The result of applying the translational rule is  \(T_{(3,-2)} (QRST)\)  what we receive (x , y) → (x+3 , y-2)

The vertices of QRST are Q(1,3), R(3,-3), S(0,-2) and T, as is evident from the given picture (-2,1).

The result of applying the aforementioned rule is

Q(1,3) → Q' (1+3 ,3-2)→ Q'(4,1)

R(3,-3) → R' (3+3, -3-2) = R'(6,-5)

S(0,-2) → S'(0+3, -2,-2) = S'(3,-4)

T(-2,1) → T'(-2+3 , 1-2 ) = T'(1,-1)

As a result, the vertices' coordinates after translation are Q'(4,1), R'(6,-5), S'(3,-4) and T' (1,-1).

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Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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Answer:

Step-by-step explanation:

A fact to know: The measure of exterior angle of a triangle = the sum of the two remote interior angles.

So  120 = 22x + 4 + 15x + 5

       120 = 37x + 9

       111 = 37x

         3 = x

m ∠B = 22 (3) + 4 = 70

m ∠C = 15(3) + 5  = 50

 OR  The exterior angle + m ∠CDB = 180              Definition of straight angle

    So m ∠CDB = 60°

The sum of the angles in a triangle= 180

15x + 5 + 22x +4 + 60 = 180; 37x + 69 = 180; 37x = 111; x = 11  

1) Gathering the data

65% = 208

2) We can find the 100% by setting a proportion

100%---------x

65%----------208

Cross multiplicating:

65x =208 *100

65x =20800 Dividing by 65

x=320

So 320 students were surveyed.

Answer:

40

Step-by-step explanation:

1. multiply all terms by the same value to eliminate fraction denominators (n times 5/8 = n times 25/n)

2. cancel multiplied terms that are in the denominator (n times 5/8 = 25

3.re order terms so constants are on the left (5/8n =25)

4. combine multiplied terms into a single fraction (5n/8 = 25)

5. multiply all terms by the same value to eliminate fraction denominators (8 times 5n/8 = 8 times 25)

6. cancel multiplied terms that are in the denominator (5n=8 times 25)

7. multiply the numbers (5n = 8 times 25 5n= 200)

8. simplify (n=40)

Answer:

C. 375

Step-by-step explanation:

250/20 = 12.5

12.5 x 30 = 375

Answer:

C

Step-by-step explanation:

250 divided by 20=12.5

12.5*30=375

GOOD LUCK

Answer: 64 \(cm^{2}\)

Step-by-step explanation:

First, you need to find the area of the parallelogram (bh)

10 * 7 = 70

since you only need the shaded region, find the area of the non shaded box and subtract that from the area.

3 * 2 = 6

70 (whole area) - 6 (nonshaded area) = 64

Please give me brainliest if I’m correct!

The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.

In the confidence interval formula p ± z, the circled portion represents the Margin of Error.

The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.

It indicates the range within which the true population parameter is likely to fall based on the sample data.

The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.

The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.

The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.

It reflects the trade-off between the desired level of confidence and the width of the interval.

A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.

Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.

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Answer:

420m

Step-by-step explanation:

serch

it up

840÷2=420m^2

Step-by-step explanation:

half means you are dividing with 2

divide the area with 2

(840÷2=420)

Answer:

1: a=31/2 - 3s/2 2: a=243/16 - 23s/16

Step-by-step explanation:

Answer:

a-   a=31/2 - 3s/2 2: a=243/16 - 23s/16

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

Answer: 1540

Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer: 600 tiles

Step-by-step explanation:

Area of the hall (assuming a typo and is metres,) = 900x400

                         = 360000cm2

Area of the tiles = 600cm2

Amounts of tiles able to be used = 360000/600

                                                       = 600 tiles.

Answer:

Step-by-step explanation:

I think 9cm and 4 cm are the lengths of the tile. so assuming that

First, we need to calculate the area of the floor in square centimeters:

Area of the floor = length x width

Area of the floor = 20cm x 30cm

Area of the floor = 600 square centimeters

Next, we need to calculate the area of one tile in square centimeters:

Area of one tile = length of tile x width of the tile

Area of one tile = 9cm x 4cm

Area of one tile = 36 square centimeters

To find the number of tiles needed to cover the floor completely, we need to divide the area of the floor by the area of one tile:

Number of tiles needed = Area of the floor / Area of one tile

Number of tiles needed = 600 square centimeters / 36 square centimeters

Number of tiles needed = 16.67

Since we can't have a fraction of a tile, we round up to the nearest whole number. Therefore, we need 17 tiles of size 9cm by 4cm to cover the floor completely.

Answer:

15

Step-by-step explanation:

180-15

Hello!

the sum of the angles in the triangle = 180°

so the 3rd angle = 180° - 165° = 15°

Answer:

F(x)1/3x-7

Step-by-step explanation:

f(x)=(x-21)x1/

=/x-21

The number of items Shelby will donate as a function of x is f(x)=x-21.

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,

Total number of clothes = x

Number of clothes she will keep in her closet = 21

Now, the function can be written as,

Function(x) = Number of items Shelby will donate

f(x) = x - 21

Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.

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Answer:

do u go to il Texas and BTW u look nice

Average Minutes Per Night Spent On Homework

0 20

48 60

190

Average Minutes Per Night Spent Watching TV

0 10

20 30

50

11. What is the median for TV time?

12. What is the range of times that the middle 50% of the sophomores spend on TV per night?

13. What percent of the sophomores spend more than 30 minutes per night watc

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

The slope is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4

Answer:

(4,-2)

Step-by-step explanation:

quadrant 4 or IV has positive x and negative y