find the value of each variable
x =
y=

Using subtraction of normal variables, it is found that Riley is not correct, as the mean is of 8 - 8 = 0.

The mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Researching this problem on the internet, it is found that, for both samples, the mean is of 8, hence:

8 - 8 = 0.

Thus, Riley is not correct.

More can be learned about the subtraction of normal variables at https://brainly.com/question/14397951

Answer:

13. 204.49 cm²
14. 15 cm²
15. 36 cm²

Step-by-step explanation:

Area of a square is:
A = a² where a is the side length

A = 14.3² cm

A = 204.49 cm²

Area of a triangle is:
[tex]A = \frac{hb}{2}[/tex] or [tex]A = \frac{1}{2}hb[/tex]  where h is the vertical height and b is the base length

A = (5×6)÷2

A = 30÷2

A = 15

Area of a rectangle is:
A = L×W where l is the length and w is the width

A = 8×4.5

A = 36

The length of side LM in the triangle LMN is 6.75 cm.

Two figures are said to be similar if they are of the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram:

LM / HJ = JK / MN

LM / 4.5 = 9 / 6

LM = 6.75 cm

The length of side LM in the triangle LMN is 6.75 cm.

Find out more on similar figures at: https://brainly.com/question/26173060

Answer:

9/6 = LM/4.5

Epxlanation:

I go to K-12 and I did the test

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

Answer:

$35.56

Step-by-step explanation:

I think.....

;-;

The original price would be $38 before the sale and without the coupon.

Given that Mai offers a $5 off the regular price of one book bag coupon. The store first uses the discount, then deducts 30% off the lowered price.

The percentage is defined as a ratio expressed as a fraction of 100.

Let the original price would be x before the sale and without the coupon.

As per the given condition,

Since Mai pays $23.10 for the bookbag

⇒ (x -5) - 30% (x -5) = 23.10

⇒ (x -5) - 0.30(x -5) = 23.10

Apply the distributive property of multiplication,

⇒ x - 5 - 0.30x + 1.5 = 23.10

Rearrange the likewise terms and apply the arithmetic operation,

⇒ x - 0.30x = 23.10 + 5 - 1.5

⇒ 0.70x = 26.60

⇒ x = 29.60/0.70

⇒ x = 38

Therefore, the original price would be $38 before the sale and without the coupon.

Learn more about the percentages here:

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#SPJ5

To find the area of a circle: [tex]\pi r^2[/tex]

To find the circumference of a circle: [tex]\pi *d[/tex] or [tex]2\pi r[/tex]

The image attached below has more equations for circles.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

-[tex]Kallmekris[/tex]

Answer:

8. [tex]15m^2-31m+10\\[/tex]

9. [tex]x^2y^2z^2+2xyz-3[/tex]

Step-by-step explanation:

[tex](a+b)(c+d)=ac+ad+bc+bd\\(3m-5)(5m-2)=3m*5m+3m(-2)-5*5m(-2)\\=3m*5m+3m(-2)-5*5m(-2)\\=15m^2-31m+10[/tex]

^#8^

[tex](xyz+3)(xyz-1)=xyzxyz+xyz(-1)+3xyz+3(-1)\\=xyzxyz+xyz(-1)+3xyz+3(-1)\\=x^2y^2z^2+2xyz-3[/tex]

^#9^

Answer:

3/8 gallon

Step-by-step explanation:

They drink 1/2 of their milk at breakfast => it means they drank 1/2 of 3/4 gallon of milk.

So, they drank : 3/4 x 1/2 = 3/8 gallon of milk.

Answer:

Tom is incorrect

The cost of using the air pump has increased by 150%

Step-by-step explanation:

Tom is incorrect

percent change = [ (difference between initial and final value) ÷ initial value] × 100

⇒ [ (50 - 20) ÷ 20) × 100 = 150%

Therefore, the cost of using the air pump has increased by 150%

Let's find slope:-

Slope:-

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{3-5}{4+9}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{-2}{13}[/tex]

Answer:

4.8

Step-by-step explanation:

[tex]Cos \ 64 =\dfrac{adjacent \ side}{hypotenuse}\\\\0.4384 =\dfrac{x}{11}\\\\\\0.4384*11=x[/tex]

x = 4.82

x = 4.8

Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 [tex]cm^{3}[/tex]

Calculate the volume of part B:

15 * 8 * 6 = 720 [tex]cm^{3}[/tex]

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 [tex]cm^{3}[/tex]

Answer:840 cm squared

Step-by-step explanation:

Answer:

20 Miles

Step-by-step explanation:

13.50 - 1.50 = 12

12 / 0.60 = 20

20 Miles

Answer:

Graph 7 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{2})[/tex]

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1) POINT-SLOPE FORM

Plug in your point and slope

y-3=1(x+2)   (The signs flip because of the negative)

y-3=x+2 (SIMPLIFY)

y=x+5  (Move the three. It is now slope int form)

You can check by plugging in -2 for x, and get 3 for y. (it works)

Step-by-step explanation:

8). 5 ft² into squared Inches:

=> since 1 ft² = 144 in²

=> 5x144

=> 720 in²

9). 16 000 cm² to m²:

=> since 1 m²= 10 000 cm²

=> 16 000 ÷ 10 000

=> 1.6 m²

10). 90 km/h to m/h

=> since 1000 m= 1 km

=> 90x1000

=> 90 000 m/h

11). 30 m/s to m/min

=> since 60 s= 1 min

=> 30÷60

=> 0.5 m/min

12). 15 rpm into rps

=> since 1 min= 60 s

=> 15x60

=> 900 rps

Answer:

3 inches

Step-by-step explanation:

Hello!
We can set up a proportion: [tex]\frac{\frac{1}{2}}{\frac16}} = \frac{x}{1}[/tex]

(Check the last answer for information on setting up proportions)

Solve:

1 yard in real life is 3 inches on the model.

1 yard represent:

Answer: 16 degrees

Step-by-step explanation:

Answer:

₹245 is the cost

Step-by-step explanation:

Given:

Cost of the fan = ₹1470

1/6th =  1470/1  × 1/6

(do not cross multiply and simplify)

=  ₹245

Answer:

Rs 1260

Step-by-step explanation:

let x be the cost price , then

x + [tex]\frac{1}{6}[/tex] x = 1470 , that is

[tex]\frac{7}{6}[/tex] x = 1470 ( multiply both sides by 6 to clear the fraction )

7x = 8820 ( divide both sides by 7 )

x = 1260

The cost price was Rs 1260

Answer:

Exponential growth is a mathematical development based on an exponential function that grows indefinitely. Exponential decay occurs in mathematical functions where the rate of change decreases and must thus reach a limit, which is the horizontal asymptote of an exponential function.

Answer:

x=4.5, 36/9

step by step explanation: First we find what 4 wholes is (36) and than we see what we are multiplying x by (8) to solve for x we divide 8 by 36 you should get 4.5 now we plug the number into the eqation to see if we were correct.

Zalia paid all total for her day at the science museum is $41.43 including all taxes and tips and other expenses.

It is given that

Admission to the museum = $12.50 per person

Number of persons= 2

Sandwich charge = $5.95

Apple charge = $1.25

Drink charge = $1.69

Tax rate = 7.25%

Tip = 15%

The percentage is value per hundred

Total amount without tax and tip(a)= 12.50*2+5.95+1.25+1.69 = $33.89

Tax(b) = 7.25% of $33.89 = 7.25*33.89/1000= $2.457025

Tip(c) = 15% of $33.89 = 15*33.89/100 = $5.0835

Net amount = a+b+c = $41.43

Therefore, Zalia paid all total for her day at the science museum is $41.43

To get more about percentage visit to:

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Answer:

86.05

Step-by-step explanation:

Its hard to explain but trust me and look at my ranking and see all the people Ive helped :)

The factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

[tex]9x^3 +36x^2 - x - 4[/tex]

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 9x², which can divide each term of the first two terms of equation (9x³, 36x²). Thus,

[tex]9x^2(x +4) - x - 4[/tex]

Take out the highest common factor -1 from the second two terms as,

[tex]9x^2(x +4) -1( x + 4)[/tex]

Now take out the common group (x+4) as,

[tex](x +4) ( 9x^2 -1)[/tex]

The second group can be rewritten using the difference of square formula as,

[tex](x +4) ( (3x)^2 -1^2)\\(x+4)(3x+1)(3x-1)[/tex]

Thus, the factor of the provided polynomial after the factorization process are similar to option B, which is

[tex](x+4)(3x+1)(3x-1)[/tex]

Learn more about factor of polynomial here;

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Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As  for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for  .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for 

Step-by-step explanation:hope this helps

Answer:

3 students want to play kickball.

Step-by-step explanation:

15 divided by 1/5 is 3 because 3x5=15