Explain the steps in calculating the mean absolute
deviation of a set of data.

Answer:

Step-by-step explanation:

a) The formula for determining average is expressed as

Average point per game = number of points scored/total number of games played

Average point per game = 2857/1487 = 1.92

b) if he had played 79 more games, since his average point per game is 1.92, then the number of points that he might have scored would be

1.92 × 79 = 95 points

The total number of points would have been

2857 + 95 = 2952 points

Answer:

a. 1.92

b. 152

Step-by-step explanation:

Wayne Gretzky had 2857 points in 1487 games.

a. His average points per game can be determined by dividing the total number of points by number of games. So that:

average points per game = [tex]\frac{2857}{1487}[/tex]

                                          = 1.92132

Therefore, he scored an average of 1.92 (2 d.p) points per game.

b. The number of points he would have scored having played 79 more games can be determined by multiplying the points for 79 more games by his average points.

         His points for 79 more games = 79 × 1.92132

                                                            = 151.78428

He would have scored 152 (3 s.f) more points if he had played 79 more games.

Answer:

y= -90x+250

Step-by-step explanation:

From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:

y= -90x+250, where

y= amount in the account

x= number of weeks.

Answer:

A rectangle that has the same volume can be the opposite of  that.

Step-by-step explanation:

The length = 4

the width = 20

the height = 6

Hope this helps,

v= l ×w×h

ヾ(・ω・`)ノ

No, the surface areas are not the same.

Answer:

A. (x - 3)

Step-by-step explanation:

x^2 +2x - 15

Factor

What 2 numbers multiply to -15 and add to 2

5*-3 = -15

5 -3 =2

(x+5)(x-3)

Answer:

6.5 gallons

Step-by-step explanation:

if u see we have to divided 13 by 2 to see how much each bowl will have

13/2= 6.5 gallons

Answer: the other side has to be five since they are the same which will equal to 10 so that means the other two sides should be 10 each

Answer:

80

Step-by-step explanation:

[tex]f(7)=2(7)^{2} -3(7)+3[/tex]

[tex]= 2(49)-21+3\\=98-21+3\\=80\\[/tex]

Simplify using distributive property

xy+x+y^2+3y+2

Answer: xy+y2+x+3y+2

Step-by-step explanation: =(x+y+2)(y+1)

=(x)(y)+(x)(1)+(y)(y)+(y)(1)+(2)(y)+(2)(1)

=xy+x+y2+y+2y+2

=xy+y2+x+3y+2

Answer:

6

Step-by-step explanation:

g(x) = x2 - 4

g(5)= 5(2) - 4

g(5)= 10 - 4

g(5)= 6

Have a great day

Answer:

6

Step-by-step explanation:

Answer:

4 / 15

Step-by-step explanation:

The total number of ways 2 students can be picked is 15 * 14 = 210 because you have 15 students to begin with and after you pick one, you're left with 14 more to choose from.

The total number of ways a senior and a junior can be picked is 8 * 7 = 56 because there are 8 seniors and 7 juniors.

The probability will then be 56 / 210 = 4 / 15. Hope this helps!

Answer:

(25%)

Step-by-step explanation:

12√4=3√1=3=25%

Answer:

1. x = 4

2. x = 2

3. x = -1

4. x = -3

Step-by-step explanation:

1. (x4)-(2•(x3)))-13x2)+14x)+24  = 0

2. ((x4) -  2x3) -  13x2) +  14x) +  24  = 0

3.  Find roots (zeroes) of :       F(x) = x4-2x3-13x2+14x+24

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

Answer:

Here you go :)

Step-by-step explanation:

1. w = 25

2. y = 7

3. x = 7

Answer:4x(x^2+2x+3)

Step-by-step explanation:

Answer:

1.775 pints of white paint

Step-by-step explanation:

1) Find out how much blue paint was used

In order to do that, we must figure out what is three-fourths of 7.4...

[tex]7.4(\frac{3}{4} ) = 5.625[/tex]

That means that Sasha used 5.625 pints of blue paint.

2) Find out how much white paint was used

In order to do that, we must subtract the amount of blue paint (5.625) from the total amount of paint (7.4)...

7.4 - 5.625 = 1.775

That means that Sasha used 1.775 pints of white paint.

I hope this helps!

Answer:

1.775 white paint would be the answer

Answer:

76.96902001

Step-by-step explanation:

We know that the area of a circle is [tex]pi * r^2[/tex] so we can take that equation and divide it by two to get your answer. So in this case it would be [tex]\frac{pi*7*2}{2}[/tex]. Hope this helps!

Answer:

x = 24

Step-by-step explanation:

[tex] \sqrt{x - 8} - 3 = 1 \\ \sqrt{x - 8} = 1 + 3 \\ \sqrt{x - 8} = 4 \\ squaring \: both \: sides \: \\ {( \sqrt{x - 8)} }^{2} = {4}^{2} \\ x - 8 = 16 \\ x = 16 + 8 \\ \huge \red{ \boxed{x = 24}}[/tex]

Answer:

c.

Step-by-step explanation:

P(male) = 100 - 54 = 46% = 0.46

P(male & senior) = 0.46 × 0.3 = 0.138

13.8 %

Answer:

C. 13.8%

Step-by-step explanation:

P(male) = 100 - 54 = 46% = 0.46

P(male & senior) = 0.46 × 0.3 = 0.138

= 13.8%

Answer:

two bases

............

Answer:

The median is 2 lower quartile is 11 and upper quartile is 6

Step-by-step explanation:

hope this helps

Answer:

* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,

u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

u = 5, and y = - 100

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i

* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

A equation in form of [tex]ax^{2} +bx+c=0[/tex] is known as quadratic equation.

Solutions of given equations are [tex]x=\pm\sqrt{5}[/tex] and [tex]x=\pm10i[/tex]

Given equation are, [tex]x^{4} +95x^{2} -500=0[/tex]

Substitute [tex]x^{2} =m[/tex] in above equations. So, equation become

                    [tex]m^{2}+95m-500=0\\\\m^{2}+100m-5m-500=0\\\\m(m+100)-5(m+100)=0\\\\(m-5)(m+100)=0\\\\m=5,m=-100[/tex]

So, [tex]x^{2} =5,x=\pm\sqrt{5}[/tex]

     [tex]x^{2} =-100,x=\pm10i[/tex]

Learn more:

https://brainly.com/question/1214333

Answer:

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me my frnd...

Answer:

The selling price of the painting would be $63.00

Step-by-step explanation:

discount amount = x

original price = $210

discount % = 70%

Formula: discount amount/original price = discount%/100%

x/210 = 70/100

x · 100 = 70 · 210

100x = 14,700

100x/100 = 14,700/100

x = $147.00

Formula:

Sale price = original price - discount = final answer

Sale price = $210 - $147 = $63.00

Answer:

$220,000

Step-by-step explanation:

Given;

The annual median income for a registered nurse = $65,000

The annual median income for a registered dietitian = $54,000

The difference in the annual income of the registered dietitian from Nurse;

d = 65,000 - 54,000

d = $11,000

In 20 years, the cumulative difference in their earnings is;

Td = 20 × $11,000

Td = $220,000

Therefore, in 20 years the registered nurse will earn $220,000 more than the registered dietitian.

Answer: x = 5

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 2x.

Since 3 is being subtracted from 2x, we add 3

to both sides of the equation to isolate the 2x.

On the left, the -3 and +3 cancel

out and on the right, 7 + 3 is 10.

So we have 2x = 10.

No we can finish things off by just dividing

both sides of the equation by 2.

On the left the 2's cancel and on

the right, 10 divided by 2 is 5.

So we have x = 5.

Answer:

34÷x-7=y

Step-by-step explanation:

34÷x-7=y

Answer:

                  z = -165

Step-by-step explanation:

            z

Simplify   ——

           11

 z    

 —— -  -15  = 0  

 11    

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

          -15     -15 • 11

   -15 =  ———  =  ————————

           1         11  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

z - (-15 • 11)     z + 165

——————————————  =  ———————

      11             11    

Equation at the end of step  2  :

 z + 165

 ———————  = 0  

   11    

Step  3  :

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 z+165

 ————— • 11 = 0 • 11

  11  

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  z+165  = 0

Solving a Single Variable Equation :

3.2      Solve  :    z+165 = 0  

Subtract  165  from both sides of the equation :  

                     z = -165

One solution was found :

                  z = -165

Answer:

Denoting 2 desired numbers: x and y, then:

x + y = 17

2x = 3y + 4

<=>

x = 17 - y

2*(17 - y) = 3y + 4

<=>

x = 17 - y

34 - 2y = 3y + 4

<=>

x = 17 - y

5y = 30

<=>

y = 6

x = 17 - 6 = 11

Hope this helps!

:)

Answer:

9/16

Step-by-step explanation:

i got it right on khan academy

Answer:

1/16

Step-by-step explanation:

Got It on Khan academy