I need help with Estimated Variable and Fixed Cost. How do I figure that out in the problem attached?

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Suppose that quiz scores in a beginning statistics class have a mean of 7.1 with a standard deviation of 0.4, the range in which at least 75% of the data will reside is from 6.3 to 7.9.

Chebyshev's Theorem is a statistical tool that provides a range for how much data is likely to fall within a certain number of standard deviations from the mean.

Specifically, it tells us that, for any set of data, no matter how it is distributed, at least 1 - (1/k^2) of the data will fall within k standard deviations from the mean, where k is any positive number greater than 1.

In this case, we want to find the range in which at least 75% of the data will reside. We can use Chebyshev's Theorem to determine the minimum value of k that will give us this range. We know that at least 75% of the data should fall within two standard deviations from the mean, so we can set k = 2.

Using Chebyshev's Theorem, we can say that at least 1 - (1/2^2) = 75% of the data will fall within 2 standard deviations from the mean. The standard deviation is 0.4, so two standard deviations would be 2 * 0.4 = 0.8.

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The value of KL for the similar triangle ∆JKL is derived to be equal to 10.92

How to evaluate the for the value of x for the triangle ∆JKL

The triangles XYZ and JKL are similar, this implies that the length XY of the smaller triangle is similar to the length JK of the larger triangle

similarly, YZ is similar to KL so;

8.7/12.18 = 7.8/KL

KL = (7.8 × 12.18)/8.7 {cross multiplication}

KL = 95.004/8.7

KL = 10.92

Therefore, the value of KL for the similar triangle ∆JKL is derived to be equal to 10.92.

Hence , 10 liters of a 10% acid solution and 50 liters of a 40% acid solution must be used.

Let the amount of 10 % acid solution be " x " and the amount  40 % acid solution be " y " .

The total volume of the resulting solution is 60 L which can be given by

      x + y = 60       .....(1)

The total acid in the resulting solution is 35 % acid solution which is given by     0.10 x + 0.40 y = 0.35(60)            .....(2)

Multiplying by 100 in equation (2) , we get

        10 x + 40 y = 2100          .....(3)

Putting x = 60 - y in equation (3) , we get

   10 ( 60 - y ) + 40 y = 2100

        600 - 10y + 40y = 2100

                 30y = 1500

                    y = 50

Putting y = 50 equation (1) , we get

      x = 60 - 50 = 10

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Answer:

28

Step-by-step explanation:

To solve this, I would first add up the total of the numbers in the ratio.

9 + 7 + 2 = 18

Then, I would divide 72 by that number.

72/18 = 4.

Finally, I would multiply that quotient by 7 because 7 is the number in the ratio for B's.

4 x 7 = 28

Answer:

$4.03

Step-by-step explanation:

because 15% of 3.50 is 0.525

take 0.525 and round it up (0.53)

3.50 + 0.53 = $4.03

Answer:

$4.03

Step-by-step explanation:

there are two ways to work this problem:

a) find out what 15% of 3.50 and add it to 3.50; requires two steps

b) multiply 3.50 and 1.15 which will give you the answer in one step

Solutions:

a) 3.5 × .15 = 0.5250 which is 0.53 rounded to the nearest penny

now add 3.50 and 0.53 to get 4.03

b) multiply 3.50 and 1.15 to get 4.025 and round to 4.03

Answer: 24

Step-by-step explanation: quick brain math

Answer:

The police caught the bank robbers(passive)

Answer:

1. it's False because the radian measure of an angle is the length..

Transcribed image text: h of the following statements as true or false. replace lace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts.on the Any degree measure can be converted to radians 180 by by _. To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an an with length kt A triangle with side lengths 7, 11.and 14 has an area of 120-21 Area : Jlo (16-706-Ingen llo

Step-by-step explanation:

Thanks don't forget to follow me brainly

Answer:

for C i would say its 2

Step-by-step explanation:

The information about the triangle will be:

Length of the shorter leg: = 5cm

Length of the longer leg: = 12cm

Length of the hypotenuse: = 13cm

It should be noted that the formula for illustrating the information is:

c² = a² + b²

where c = hypothenuse

The shorter leg = x

Longer leg = x + 7

Hypothenuse = 13

Therefore, c² = a² + b²

13² = x² + (x + 7)²

169 = x² + x² + 14x + 49

169 = 2x² + 14x + 49

169 - 2x² - 14x - 49 = 0

-2x² - 14x + 120 = 0

Multiply through by minus

2x² + 14x - 120 = 0

Divide through by 2

x² - 7x - 60

x² - 12x + 5x - 60

x(x - 12) + 5(x - 12)

Therefore, the smaller length is 5cm and the bigger Length is 12cm

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The surface area of the rectangular prism is 396 square inches

He will need 504 tlles

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

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

The number of tiles is 7 * 12 * 6 = 504

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Question

wants to tile the surface of a rectangular storage case that is 7 inches​ long, 12 inches​ wide, and 6 inches tall. If he uses all green​ tiles, how many tiles will he​ need?

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

when dealing with money

a) The distance of the stone above ground level at time t :

d(t)= -4.9t² + 950

b) It takes 13.92 seconds the stone to reach the ground

c)  With 136.42 m/s velocity the stone strikes the ground.

d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground

Here, a  stone is dropped from the upper observation deck of a tower, 950 m above the ground.

(a)  the distance of the stone above ground level at time t would be,

d(t)  = 0.5 (-9.8) t² + v(0) t + d(0)

      = (-4.9)t² + 0t + 950

      = -4.9t² + 950

(b) Now we find the time the stone takes to reach the ground.

i.e., the value of 't' when d = 0

Substituting d(t) = 0 in the above equation.

-4.9t² + 950 = 0

t² = (-950) / (-4.9)

t² = 193.88

t = 13.92 seconds

(c) We need to find the velocity the stone takes to strike the ground

i.e., the velocity when t  = 13.92 seconds

v(t) = v(0) + gt      

v(13.92) = 0 + (9.8)(13.92)

v = 136.42 m/s

(d) here, v(0) = -8 m/s  

Velocity is negative because stone is being thrown downward.

d(t) = 0

(-4.9)t² + v(0) t + d(0) = 0

(-4.9)t² -8t + 950 = 0

Using the quadratic formula we solve above equation for,

t = -14.76, 13.13

We can disregard the negative solution

So, we get t = 13.13 seconds.

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let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so

\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

58

Step-by-step explanation:

58

boom. done.

more than .5 is round up

Answer:

C

Step-by-step explanation:

Spinner B has 4/12ths of yellow and spinner a has 2/6ths. 2/6 is equivalent to 4/12ths

Answer:

C  :>

Step-by-step explanation:

Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.

Step-by-step explanation:

(200) (0.06) >= 10

(200) (0.94) >=10

(197)(0.086) >=10

(197)(0.914) >= 10

We test the sample proportions of it is normal :

Deer population 1:

Sample size, n1 = 200

Proportion, p1 = 0.06

q = 1 - p = 1 - 0.06 = 0.94

n1 * p = 200 * 0.06 = 12

n1 * q = 200 * 0.94 = 188

Deer population 2:

Sample size, n2 = 197

Proportion, p = 0.086

q = 1 - p = 1 - 0.086 = 0.914

n2 * p = 197 * 0.086 = 16.94

n2 * q = 197 * 0.914 = 180.06

Since for samples and proportions ;

n*p and nq ≥ 10 ;

We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.

The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

Given :

For dear population 1, the sample size is 200 and proportion is 0.06.

\(\rm q_1 = 1-p_1=1-0.06=0.94\)

\(\rm n_1p_1=200\times 0.06=12\\\)

\(\rm n_1q_1=200\times 0.94 = 188\)

Now, for dear population 2, the sample size is 197 and the proportion is 0.086.

\(\rm q_2 = 1-p_2=1-0.086=0.914\)

\(\rm n_2p_2=197\times 0.086=16.94\)

\(\rm n_2q_2=197\times 0.914 = 180.06\)

Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.

So, the correct option is e).

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Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Answer:

probably not, but if you were to post the questions without it saying on it that its an exam (because those get deleted all the time) people could help you through it. :)

Step-by-step explanation:

The depreciable cost,

$1,800,000

The straight-line rate,

5%

The annual straight-line depreciation,

90,000

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

If a building acquired the beginning of the year at a cost of 2,200,000 has an estimated residual value of 400,000 and an estimated useful life of 20 years.

The depreciable cost,

= cost - residual value

= 2,200,000 - 400,000

= $1,800,000

The straight-line rate,

=100/20

= 5%

The annual straight-line depreciation,

= 1,800,000 x 5/100

= 90,000

Therefore, all the required values are given above.

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Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.

Part B : The range of this function is (- 17, ∞).

Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.

The domain of this function is [3, ∞) as (x - 3) ≥ 0.

The range of this function is (- 17, ∞).

The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

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Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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Answer:

F statistic = 11.3 ;

-1.02

Step-by-step explanation:

____Location1(%C) ____ Location2(%C)

1 ______ 10.40 _________ 10.10

2 _____ 10.20 _________ 10.90

3 ______10.30 _________ 10.20

4 ______10.40 _________ 10.70

5 ______10.20 _________ 10.40

F = larger sample variance / smaller sample variance

Using calculator :

Sample standard deviation (s)

s1² = 0.01

s2² = 0.113

F = s2² / s1²

F = 0.113 / 0.01

F = 11.3

Yes, the two standard deviations for the locations are significantly different at the 95% confidence level.

B.)

Tvalue

x1 = 10.3 ; x2 = 10.46

μ1 = 10.30 ; μ2 = 10.46

(10.30 - 10.46) / sqrt[(0.01/5) + (0.113/5)]

-0.16 / 0.1568438

-1.02

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

The "divide" and "average" method, and old-time method for approximating the square root of any positive number, can be formulated as

\(x=\frac{(x+a/x)}{2}\)

where

\(a\) is the number whose square root we need to find.

Estimate the error in approximation as

\(\varepsilon =\left | \frac{x_{new}-x_{old}}{x_new} \right |\)

Repeat this loop until this \(\varepsilon\) is less than or equal to the specified value.