Gabrielle’s age is two times Mikhail’s age. The sum of their ages is 36. What is Mikhail’s age?

Answer:

(1) The cost formula is: y = $19,050 + $12·x.

(2) The cost of moving materials if 340 moves are made is $23,130.

(3) 82.81% of the variability in moving cost is explained by the number of moves.

Step-by-step explanation:

The computer output for the regression analysis of 80 data points is as follows:

Intercept:  $19,050

Slope: 12

Coefficient of correlation: 0.91

Standard error:  $220

(1)

The general formula of regression equation is:

y = a + b·x

Here,

a = intercept

b = slope

The cost formula is:

y = $19,050 + $12·x

(2)

Predict the cost of moving materials if 340 moves are made as follows:

[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]

Thus, the cost of moving materials if 340 moves are made is $23,130.

(3)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

The coefficient of determination R² can be computed by squaring the correlation coefficient value.

[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]

Thus, 82.81% of the variability in moving cost is explained by the number of moves.

By 2 = 2290

By 3 = about 1526.6667 or you can just write 4580/3

By 5 = 916

By 9 = about 508.8889

By 10 = 458

Answer:

Step-by-step explanation:

Given the simultaneous equation

4x-5y+16 =0  ....... 1

2x+y-6 =0  ...... 2

Let us solve to get the variable x and y:

The equation becomes

4x-5y =-16   ........ * 1

2x+y =6 ...... *2

Using Elimination method

Multiply eqn 1 by 1 and eqn 2 by 2

4x-5y =-16

4x+2y =12

Subtract resulting equation

-5y-2y = -16-12

-7y = -28

solve for y

-7y/-7 = -28/-7

y = 4

Substitute y = 4 into equation 2 to get x

2x+y =6

2x + 4 = 6

2x = 6-4

2x = 2

x = 2/2

x = 1

hence x is 1, y is 4

Answer:

17 rolls

Step-by-step explanation:

4 x 45 = 180  

265-180 = 85      

85 ÷ 5 = 17  

hope this helps ;)

Answer:

make it so that the top side is 40 and make the sides 35

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

Since m<2 + m<1 is equal to 180, we can set up the equation to find m<1.

plug in 126 as m<2, so we get

126 + m<1 = 180

-126              -126

m<1 = 54.

From this knowledge, we know that

7.) 54°

8.) 126°

9.) 54°

10.) 126°

11.) 54°

12.) 126°

13.) 54°

14.) 126°

Answer:

Supplement angle: 170°

Step-by-step explanation:

Equations

Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:

[tex]90-x=40+4x[/tex]

Simplifying:

[tex]90-40=4x+x=5x[/tex]

Solving:

[tex]x=50/5=10[/tex]

The angle is 10°. The supplement angle is 180°-10°=170°.

Supplement angle: 170°

Answer:

[tex]15360\,\,rupees[/tex]

Step-by-step explanation:

Let sides of the triangle be [tex]a,b,c[/tex]

[tex]a=40\,,\,b=24\,,\,c=32[/tex]

Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]

[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]

Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]

So,

Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]

Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]

Answer:

c is incorrect they just made me fail my quiz... :(

Step-by-step explanation:

Answer:

7/10 divided by 1/10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

D) positive association because the data on the scattergraph is decreasing (y axis) as the x axis increases.

Basically the data: theres a cluster, an outlier and has a negative association. Not a positive association.

It is given that Lu hit x numbers of home run.

So, number of home run hit by Karinne is  more home runs than 1/2 the number of home runs Lu hit.

So, number of home run Karinne hit is :

[tex]y = 4 + 0.5x[/tex]

Also,

[tex]x + y = 10[/tex]

Solving above two equation, we get :

x + ( 4 + 0.5x ) = 10

1.5x + 4 = 10

1.5x = 6

x = 4

Therefore, number of home run hit by Lu is 4.

Hence, this is the required solution.

Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10

Total Number of home runs :

(1/2)x + 4 + x = 10

1.5x + 4 = 10

1.5x = 10 - 4

1.5x = 6

x = 6/1.5

x = 4

Therefore, the equation which represents the situation is 1.5x + 4 = 10

Learn more : https://brainly.com/question/18796573

Answer:

one way.

k=y2-y1 / x2-x1

Answer:

Step-by-step explanation:

boiii this look are as a mf

Answer:

-2x+11

Step-by-step explanation:

You need to combine like terms, so combine the x terms first.

You would have

-2x-3x+3x=-2x

Then combine the like terms of the normal numbers

2+5+4=11

Answer:

-2x+11

-hope this is what you were looking for:))

Step-by-step explanation:

Answer:

Answer:

o,-3 and 1.5,0

Step-by-step explanation:

You can find a calculator on a website called Desmos that might help answer related questions.

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

108 = 1/2 * x * (x + 6)

x² + 6x = 216

x² + 6x - 216 = 0

x² + 18x - 12x -216 = 0   (Splitting the middle term)

x(x + 18) - 12(x + 18) = 0

(x + 18) (x - 12) = 0

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

Answer:

84 miles in 12 hour

Step-by-step explanation:

12/4 = 3

3*28=84

Answer:

84 miles.

Step-by-step explanation:

First, find the rate of miles travel per hour.  It is given that the boat covers 28 miles in 4 hours. Simply divide 28 with 4:

28/4 = 7

The boat covers 7 miles per hour.

Now, multiply 12 hours with 7:

12 hours x 7 miles per hour = 84 miles per 12 hours.

84 miles is your answer.

~

Answer:

Step-by-step explanation:

reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise

Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.

Step-by-step explanation: Just did it, that is the sample response.

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

Answer:

$108

Step-by-step explanation:

12 x 9 = 108

$108/9 hours

Answer:

D

Step-by-step explanation:

just flip the fraction

Answer:

D

Step-by-step explanation:

The reciprocal is just the fraction flipped.

Answer:

a

[ FFFF] , [FFFT] , [FFTF] , [FFTT]

[FTFF] , [FTFT] , [FTTF], [FTTT]

[TFFF] , [TFFT] , [TFTF] , [TFTT]

[TTFF] , [TTFT],[TTTF] , [TTTT]

b

  [tex]P(A) =  \frac{1}{8}[/tex]

c

 [tex]P(B) = \frac{1}{4}[/tex]

d

[tex]P(C) = \frac{5}{16}[/tex]

Step-by-step explanation:

From the question we are told that

The number of True - False question is n = 4

The number of answers recorded are k = 4

Generally the outcomes in the sample space are 16 and they are listed below

[ FFFF] , [FFFT] , [FFTF] , [FFTT]

[FTFF] , [FTFT] , [FTTF], [FTTT]

[TFFF] , [TFFT] , [TFTF] , [TFTT]

[TTFF] , [TTFT],[TTTF] , [TTTT]

Generally from the list of the possible outcome we see that the number of outcome where the answers are the same is 2 i.e [TTTT] and [FFFF]

So the probability that all the answers are the same is mathematically represented as

[tex]P(A) = \frac{2}{16}[/tex]

=> [tex]P(A) = \frac{1}{8}[/tex]

Generally from the list of the possible outcome we see that the number of outcome where exactly one answer is true is 4 i.e [FFTF] , [FFFT],[TFFF] , [FTFF]

So the probability that exactly one of the four answers is "True." is mathematically represented as

[tex]P(B) = \frac{4}{16}[/tex]

=> [tex]P(B) = \frac{1}{4}[/tex]

Generally from the list of the possible outcome we see that the number of outcome where at most one of the four answers is true is 5 i.e [FTFF] , [FFFF] , [FFTF] , [FFFT] ,[TFFF]

So the probability that at most one of the four answers is mathematically represented as

[tex]P(C) = \frac{5}{16}[/tex]

The probabilities of all same, exactly one true, and most one of the four are true is 0.125, 0.25, and 0.3125 respectively.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A section of an exam contains four True-False questions.

A completed exam paper is selected at random, and the four answers are recorded.

Total event = 16

A.  The sample space will be shown in the table below.

[tex]\rm Sample \ space = 16 \ \begin{Bmatrix}FFFF & FFFT & FFTF & FFTT \\FTFF & FTFT & FTTF & FTTT \\TFFF & TFFT & TFTF & TFTT \\TTFF & TTFT & TTTF & TTTT\end{Bmatrix}[/tex]

B.  The probability that all the answers are the same will be.

Favorable event = 2 ={(TTTT, FFFF}

Then we have the probability,

[tex]\rm P(B) =\dfrac{2}{16} =\dfrac{1}{8} = 0.125[/tex]

C.  The probability that exactly one of the four answers is "True".

Favorable event = 4 {(FFFT, FFTF, FTFF, TFFF}

Then we have the probability,

[tex]\rm P(C) =\dfrac{4}{16} =\dfrac{1}{4} = 0.25[/tex]

D.  The probability that at most one of the four answers is "True".

Favorable event = 5 {(FFFF, FFFT, FFTF, FTFF, TFFF}

Then we have the probability,

[tex]\rm P(D) =\dfrac{5}{16} =0.3125[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

312 , 919 , 281 , 0.  500 , 527

Step-by-step explanation:

Answer:

n  m

Step-by-step explanation:

mn

Answer:

D. Replace f(x) with y

Step-by-step explanation:

apex

Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.

In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.

To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.

To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.

It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.

Learn more about Inverse here:

https://brainly.com/question/11735394

#SPJ2

Answer:

8

Step-by-step explanation:

if y varies with x, then they are directly proportional, so their ratio is constant (ie x divided by y is allways the same)

when x = 6, y = 24:

y / x = 4

when y = 32:

32 / x = 4

so x = 32 / 4 = 8

Answer:

8420

Step-by-step explanation:

10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.  

Answer:

x=3

Step-by-step explanation: