Use the figure below to solve for X.

Answer: The answer is 652.8

Step-by-step explanation:

First, one dozen cupcakes is 12.. So do 12*2=24 to get two dozen cupcakes.

Next, do 27.2*24=652.8

The number of ways to put eight different books in five boxes can be calculated by using probability formula which is 6660 ways.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

No box is allowed to be empty.

So, we can put one book in each box in  mays.

Now remaining 3 books we can put in by  ways

Total number of ways will be

Now calculating the value,

(8!)/(8-5)!  - (5!)/(5-3)!

(8!)/(3!) - (5!)/(2!)

(8*7*6*5*4) - (5*4*3)

6720 - 60

6660

There can be 6660 ways to put eight different books in five boxes.

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Step-by-step explanation:

As Isosceles triangel has for sure 2 equal angles

and the sum of angles in any triangle is 180

so you have only thes 2 conditions either :

2(x^2+4)+22x+12=180 or 2(22x+12)+(x^2+4)=180

2x^2+8 +22x+12-180=0 or 44x+24+x^2 +4 - 180=0

2x^2+22x-160=0. or x^2+44x-152=0

x1=5 x2=-16. or x3=3.22 x4=-47.22

Answer:

$660.

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= $660

• Why did we multiply by 1-0.9?

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

-------------------------------------------------------------------------------------------

A different example would be the following:

What was the original price of a product bought for $48 if it has a 60% discount?

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

$120 was the original price.

Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

Answer:

hello your question lacks the required options attached is a picture of the complete question

One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

Step-by-step explanation:

What is misleading about this is the study's final report because this marketing study was carried out with a level of significance of 5% (0.05) which means that if we carry the same study with varying sample data we will mostly like arrive at a conclusion against our null conclusion 5% of the time and this is not good for the the study because it is a type 1  error and has to be eliminated and it cannot be eliminated totally .

hence  One would expect about 5% of tests to be significant just by chance if the null hypothesis is true, and for 60 tests, this is 0.05(60) = 3 tests. This could explain why these tests are statistically significant.

We are told that the marketing study conducts 60 tests and that 3 tests are statistically significant at the 0.05 level, in addition to this the study's final report emphasizes only the tests with significant results without mentioning the other 57 tests.

We can interpret it as follows:

By the 0.05 level, we mean that 5% of the tests are significant by chance when the null hypothesis is true.

Here 5% of the 60.

60 * 0.05 = 3

Therefore it only mentions 3 tests and does not mention the other 57 tests, which in itself is misleading because all 60 tests should be fully mentioned in the final report.

Answer:

c

Step-by-step explanation:

because on the chart is says 19% under burgers for teachers.

Tell me if it is right.

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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A linear function would be a better model for the data, because as x increases, the y-values change by a constant amount. The slope of this function is approximately -10300.

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

The differences are given as follows:

Hence a linear function with an slope of around -10300 would be a good model for the data.

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Answer:

...........100.........

Step-by-step explanation:

243.6 ÷100=2.436 we don't use 0 before positive number

Answer:

B

Step-by-step explanation:

The answer is B.

The expression can be simplified into 7x^2 - 5x + 3 - 2x^2 - 7x + 4.

Combine like terms, and you will get:

5x^2 - 12x + 7.

Answer:

B

Step-by-step explanation:

Answer:

42-9×9+64

=42-81+64

= 106-81

=25

Answer: For each hour spent driving, the distance increases by 59.3

miles.

Step-by-step explanation:

Your welcome!

Answer:

C)  For each hour spent driving, the distance increases by 59.3 miles.

Step-by-step explanation:

In the function f(x) = 59.3x + 58.3, the coefficient of x is 59.3.

This coefficient represents the rate of change or slope of the linear relationship between distance traveled (in miles) and time (in hours).

Specifically, it represents the speed of the car in miles per hour (mph).

This means that for each hour spent driving (each unit increase in time), the car travels an additional 59.3 miles, so its distance increases by 59.3 miles each hour. Hence, the car is traveling at a speed of 59.3 mph.

Answer:

0.36 or 9/25

Step-by-step explanation:

3/5*3/5

Answer:

2.4 use a scientific calculator like desmos it will really help:)

Step-by-step explanation:

Answer:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

Step-by-step explanation:

A) Commission = 2450 shillings * 25 % = 2450 shillings * (25/100) = 2450 shillings * (0.25) = 612.50 shillings

Commission = 612.50 shillings

B) If the total sale is 2,450.00 shillings, after the seller gives buyers a 2% discount. We must re-enter the discount:

2,450.00 shillings = X - X * 2% = X - 0.02 X --->

------> 0.98 X = 2,450.00 shillings

------>X= 2,450.00 / 0.98

------> X = 2,500.00  shillings

NEW COMMISSION = 2,500.00 shillings * 25 % = 2,500.00 shillings *(25/100) =2,500.00 shillings * (0.25) = 625 shillings

NEW COMMISSION = 625 shillings

Answer2/0

Step-by-step explanation:

Answer:

Zuri: -10x + 125, Cara: 10x+125, Julio: 125x + 10

Step-by-step explanation:

Zuri starts with 125 dollars, and spending 10 dollars per month, means a subtraction of $10 per month.  So, after x months, the subtraction = -10x = -10 + -10 + ... + -10, x times.  Thus, f(x) = 125 + (- 10x) = 125 - 10x = -10x + 125.

Cara starts with 125 coins, and collecting 10 coins per year, means an addition of 10 coins per year.  So, after x years, the addition = 10x = 10 + 10 + ... + 10, x times.  Thus, f(x) = 125 + 10x = 10x + 125.

Julio starts with $10, and earning $125 per week, means an addition of $125 per week.  So, after x weeks, the addition = 125x = 125 + 125 + ... + 125, x times.  Thus, f(x) = 10 + 125x  = 125x + 10.  

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

its b I belive

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

In order to find (f-g)(x), you have to subtract g(x) from f(x) :

\(f(x) = {3}^{x} + 10\)

\(g(x) = 2x - 4\)

\((f - g)(x) = {3}^{x} + 10 - 2x - ( - 4)\)

\((f - g)(x) = {3}^{x} + 10 - 2x + 4\)

\((f - g)(x) = {3}^{x} - 2x + 14\)

Answer:

35%

Step-by-step explanation:

So 63 out of 180 cans were sold. Write that as a fraction (63/180) and then convert that to a decimal by finding the quotient of 63 and 180 and convert the resulting decimal into a percent.

Answer:

Here you go!

Step-by-step explanation:

The stem and leaf plot is plotted using the key:

X|Y ⇒ X is on the stem and Y is on the leaf for the number XY.

A stem leaf plot is a tabular representation of data where the first digit is plotted in the stem and the second digit is plotted in the leaf.

A key for a number XY is written as such:

X|Y ⇒ X is on the stem and Y is on the leaf for the number XY.

We take each data given to us according to this key:

4|7 ⇒ 4 is on the stem and 7 is on the leaf for the number 47.

6|1 ⇒ 6 is on the stem and 1 is on the leaf for the number 61.

2|5 ⇒ 2 is on the stem and 5 is on the leaf for the number 25.

1|9 ⇒ 1 is on the stem and 9 is on the leaf for the number 19.

3|0 ⇒ 3 is on the stem and 9 is on the leaf for the number 30.

3|3 ⇒ 3 is on the stem and 3 is on the leaf for the number 33.

7|2 ⇒ 7 is on the stem and 2 is on the leaf for the number 72.

6|5 ⇒ 6 is on the stem and 5 is on the leaf for the number 65.

5|5 ⇒ 5 is on the stem and 5 is on the leaf for the number 55.

2|9 ⇒ 2 is on the stem and 9 is on the leaf for the number 29.

5|4 ⇒ 5 is on the stem and 4 is on the leaf for the number 54.

4|9 ⇒ 4 is on the stem and 9 is on the leaf for the number 49.

3|8 ⇒ 3 is on the stem and 8 is on the leaf for the number 38.

8|1 ⇒ 8 is on the stem and 1 is on the leaf for the number 81.

7|7 ⇒ 7 is on the stem and 7 is on the leaf for the number 77.

3|3 ⇒ 3 is on the stem and 3 is on the leaf for the number 33.

4|0 ⇒ 4 is on the stem and 0 is on the leaf for the number 40.

The plot is attached.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer:

Explanation:

The first step is to find the equation of both lines. The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m is the slope

c is the y intercept. It is the value of y at the point where the line cuts the vertical axis.

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

where

y1 and y2 are the y coordinates of selected initial and final points on the line.

x1 and x2 are the x coordinates of the selected initial and final points on the line.

Considering labelled points on y = f(x),

when x1 = 0. y1 = - 3

when x2 = 2, y2 = 1

m = (1 - - 3)/(2 - 0) = 4/2 = 2

y intercept, c = - 3

The equation would be

y = f(x) = 2x - 3

Considering labelled points on y = g(x),

when x1 = 0. y1 = 6

when x2 = 2, y2 = - 2

m = (- 2 - 6)/(2 - 0) = - 8/2 = - 4

y intercept, c = 6

The equation would be

y = g(x) = - 4x + 6

The solution of both equations is the coordinate of the point of intersection. Thus,

Solution = (1.5, 0)

Given that

g(x) = kf(x), it means that

- 4x + 6 = k(2x - 3)

Substituting x = 1.5 into the equation, we have

- 4(1.5) + 6 = k(2 * 1.5) - 3

- 6 + 6 = 3k - 3

0 = 3k - 3

3k = 3

k = 3/3

k = 1

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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