Souta wants to compare the mean of his test scores in French class to the mean absolute deviation. Language Test Scores French Scores 76 62 94 80 He uses the steps below to find both the mean and mean absolute deviation. French Scores Step 1 Add the scores. 76 + 62 + 94 + 80 = 312 Step 2 Divide the sum of the scores by 4. 312 divided by 4 = 78 Step 3 Add the differences between the mean and each score. (76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0 Step 4 Divide by 4. StartFraction 0 over 4 EndFraction = 0 In which step did Souta make the first error? Step 1 Step 2 Step 3 Step 4

Answer:

JK = 72

Step-by-step explanation:

JL = JK + KL = (4x+8) + (6x-6) = 10x + 2 = 162

--> x = (162-2)/10 = 16

JK = 4x + 8 = 4 . 16 + 8 = 72

Answer:

El área del terreno B es 2000 m.

Step-by-step explanation:

Tenemos que el terreno A es:

[tex]L_{A}[/tex]: largo = 120 m

[tex]A_{A}[/tex]: ancho = 200 m

Y que el terreno B es:

Largo:

[tex] L_{A} = 3L_{B} [/tex]

[tex] L_{B} = \frac{L_{A}}{3} = \frac{120 m}{3} = 40 m [/tex]

Ancho:

[tex] A_{A} = 4A_{B} [/tex]

[tex] A_{B} = \frac{A_{A}}{4} = \frac{200}{4} = 50 m [/tex]

Entonces, asumiendo que el terreno es un rectángulo, el área del terreno B es:

[tex] a_{B} = L_{B}*A_{B} = 40 m*50 m = 2000 m [/tex]

Por lo tanto, el área del terreno B es 2000 m.

Espero que te sea de utilidad!

Answer:

350

Step-by-step explanation:

First off, remember that $100 is only added once as a deposit. Now we need to figure out what $50 times 5 is. We can calculate that is equals $250

Now we need to add the deposit onto the total.

250+100= 350

Hope this helped!

Answer:

8x^2 + 5y + 1

Step-by-step explanation:

1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y

group like terms

= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 2y + 3y + 1 - 3 + 3

add similar items

= 8x^2 + 5y + 1 - 3 + 3

= 8x^2 + 5y + 1

Answer: OPTION C

Step-by-step explanation:

A positive number must be greater than (>) 0, so lets check which fits this condition.

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

A.

7.09+(-7.28)=-0.19   NEGATIVE

B.

-12+11.5=-0.5  NEGATIVE

C.

-4.8-(-6.1)=1.3   POSITIVE

D.

-21-(-18.5)=2.5   NEGATIVE

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

C represents positive number

Hope this helps!! :)

Please let me know if you have any question

Answer:

2k-8

Step-by-step explanation:

3k +9 -k-17

Combine like terms

3k -k    +9-17

2k         -8

Answer:Simplifying

3k + 9 + -1k + -17 = 0

Reorder the terms:

9 + -17 + 3k + -1k = 0

Combine like terms: 9 + -17 = -8

-8 + 3k + -1k = 0

Combine like terms: 3k + -1k = 2k

-8 + 2k = 0

Solving

-8 + 2k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 2k = 0 + 8

Combine like terms: -8 + 8 = 0

0 + 2k = 0 + 8

2k = 0 + 8

Combine like terms: 0 + 8 = 8

2k = 8

Divide each side by '2'.

k = 4

Simplifying

k = 4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: 4 years

Step-by-step explanation:

144 + 8(4) = 176

108 - 5(4) = 88

88 x 2 = 176

Answer:

[tex]\frac{1}{15^{6}}[/tex]

Step-by-step explanation:

If you see a negative sign in the power, you will place the number and power over 1:

15^-6 = 1/(15^6)

[tex]\frac{1}{15^{6}}[/tex]

Simplify. Solve 15^6:

15^6 = 15 * 15 * 15 * 15 * 15 * 15 = 11,390,625

1/11,390,625 is your simplified answer.

However, note that you are solving for a positive exponent. Your answer will be:

[tex]\frac{1}{15^{6}}[/tex]

Answer:c

Step-by-step explanation:

Answer:

25 = 5^2

Step-by-step explanation:

Factor the following integer:

25

Hint: | Is 25 divisible by 2?

25 is not divisible by 2 since 25 is odd and 2 is even:

25 = 25 (25 is not divisible by 2)

Hint: | Is 25 divisible by 3?

The sum of the digits of 25 is 2 + 5 = 7, which is not divisible by 3. This means 25 is not divisible by 3:

25 = 25 (25 is not divisible by 2 or 3)

Hint: | Is 25 divisible by 5?

The last digit of 25 is 5, which means 25 is divisible by 5:

25 = 5 5:

25 = 5×5 (5 is not divisible by 2 or 3 since 25 is not)

Hint: | Now try to factor 5. Is 5 prime?

No primes less than 5 divide into it. Therefore 5 is prime:

25 = 5×5

Hint: | Express 25 as a prime power.

There are 2 copies of 5 in the product:

Answer: 25 = 5^2

Answer:

[tex]x\geq 1[/tex]

B

Step-by-step explanation:

For square root functions, the domain is the restrictions on the x-variable.

Recall that you cannot take the square root of a negative. Thus, all values under the square root must be greater than or equal to 0. Thus, to find the domain, set the expression under the radical sign to greater than or equal to 0 and solve for x:

[tex](x-1)\geq 0[/tex]

Add 1 to both sides.

[tex](x-1)+1\geq 0+1\\x\geq 1[/tex]

Thus, the domain is:

[tex]x\geq 1[/tex]

All real numbers such that x is greater than or equal to 1.

Answer:

[tex]\huge \boxed{x \geq 1}[/tex]

Step-by-step explanation:

The domain of a function is all possible values for x.

There are restrictions on the value of x.

The number in the square root has to be greater or equal to 0 to be defined. Since the square root of a number lesser than 0 will be undefined.

[tex]x-1\geq 0[/tex]

Adding 1 to both sides.

[tex]x-1+1 \geq 0+1[/tex]

[tex]x\geq 1[/tex]

The domain of the function is [tex]x\geq 1[/tex]

All real numbers greater or equal to 1.

It`s easy.

Real axis (-4) is the abscissa, the part with i (-8) is the ordinate. That`s why...  

Answer:

m = 1 (the slope is 1/1) b = -4 (the y-intercept is (0,-4))

Step-by-step explanation:

First, you have to plot a point at the y-intercept (0,-4). Then go up once and to the right once (since the slope is 1/1). Keep doing this as much times as you want and connect the dots to form a line. See image below.

Answer:

n=5

Step-by-step explanation:

6(n-2)-8=22+4(2-n)

open brackets

6n-12-8=22+8-4n

collect like terms

6n+4n=22+8+12+8

10n=50

n=50/10

n=5

Answer:

Step-by-step explanation:

To solve for k first multiply both sides by 3

That's

Next divide both sides by f in order to isolate k

We have

Simplify

We have the final answer as

Hope this helps you

Answer:  It does not lie on the line m.

Step-by-step explanation:

First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like  on line M.

The slope intercept formula is   y = mx +b   where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.

Plot the coordinates and the slope into the formula to solve for b.

1 = 3/4(-2) + b

 1 = -6/4 + b    

+6/4 +6/4  

  b = 10/4  

y = 3/4x + 10/4

63  = 3/4(82) + 10/4  

63 = 64    

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 in

The statement

The length of a rectangle picture is 5 inches more than three times the width is written as

l = 5 + 3w

Substitute the expression into the above formula and solve for the width

That's

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 64

Divide both sides by 8

w = 8

Substitute this value into l = 5 + 3w and find the length

That's

l = 5 + 3(8)

l = 5 + 24

l = 29

The dimensions of the rectangle are

length = 29 inches

width = 8 inches

Hope this helps you

The individuals in this set are C) Basketball players

This is because it's listing all the player names with their associated stats.

====================================================

The data contains B) 3 variables, 2 of which are quantitative

The variables are

The first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.

This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.

A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.

The quantitative variables are free throw percentage and the number of assists.

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Answer:

Step-by-step explanation:

[tex]Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°[/tex]

Answer:

-7

Step-by-step explanation:

2p-9=5p+12

2p-9-12=5p

-21=5p-2p

-21=3p

p= -21/3

p= -7

Answer: P=51

--

Steps for Solving Linear Equation: 20−9=5p+12

--

Subtract 9 from 20 to get 11.

[tex]11=5p+12[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]5p+12=11[/tex]

Subtract 12 from both sides.

[tex]5p=11-12[/tex]

Subtract 12 from 11 to get −1.

[tex]5p=1[/tex]

Divide both sides by 5.

[tex]p=5-1[/tex]

Fraction 5−1​≈−0.2 can be rewritten as −51​=−0.2 by extracting the negative sign.

[tex]p=-51[/tex]

Answer: The value of x is = 5.

Step-by-step explanation:

So we are given the equation:

3x + 7 = 22​

We just have to isolate 3x and move 7 to the other side:

3x = 22 -7

3x = 15

Now divide:

x = 15/3

x = 5

There you go!

Answer:

5

Step-by-step explanation:

22-7=15 and 15 divided by 3 =5

Number one:

-4c - 6d + 9c + 2d

~Combine like terms

(-4c + 9c) + (-6d + 2d)

~Simplify

5c - 4d (Option A)

Number two:

2(-y + 9) + 8y

~Distribute

-2y + 18 + 8y

~Combine like terms

(-2y + 8y) + 18

~Simplify

6y + 18 (Option C)

Number three:

-3(-4y + 5) - 8y

~Distribute

12y - 15 - 8y

~Combine like terms

4y - 15 (Option C)

Number four:

6c - 8d + 3c + 4d

~Combine like terms

(6c + 3c) + (-8d + 4d)

~Simplify

9c - 4d (Option A)

Best of Luck!

Answer:

parallell

Step-by-step explanation:

Answer:

collinear points

Step-by-step explanation:

A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines. A plane extends infinitely in two dimensions.

Answer:

2x(x-7)+3(x-7)

2x²-14x+3x-21

2x²-11x-21

Answer:

1. Two segments are MC and AX

2. Point N

3. Three collinear points are points A, point N and point X

4. Two other names for V are quadrilateral and rectangle

5. No N, M, and X are in a different plane from R

6. Two rays are ray NR and ray NA

7. The pair of opposite rays with end point N are ray NA and ray NX and ray NM and ray NC

8. Three lines are shown in the figure

Step-by-step explanation:

1) A segment is a line portion with two end points

2) A point marks a position

3) Collinear points are points on the same line

3) A quadrilateral is a four sided figure while rectangle has 90° interior angles

4) A ray is an line extending from a point without ending

5) Opposite rays are rays extending from the same point but in opposite directions

6) A line is a straight one dimensional geometric figure  that has no width but infinite number of points extending without end in both directions

Answer:

B. -6  

D. -2

E. -1

Step-by-step explanation:

The range is the values for the output or y values

y is between -6 and 0 including the endpoints

-6 ≤y≤0

A. 2    not included

B. -6  included

C. 1  not included

D. -2 included

E. -1 included

Answer:

61/50

Step-by-step explanation:

1*a = a

1 = b/b

then:

23*25 * 1 = (23/25)(12/12) = (23*12)/(25*12) =276/300

9/30 *1 = (9/30)(10/10) = (9*10)/(30*10) = 90/300

then:

(23/25) + (9/30) = (276/300) + (90/300)

= (276+90)/300

= 366/300

= 122/100

= 61/50

The addition of the fraction 23/25 + 9/30 is equal to 61/50.

A fraction represents a part of a number or any number of equal parts.

'a/b' of a quantity means that quantity is first divided in 'b' parts, and then mutiplied by 'a', or,

Once the denominators become same, the numerators can add up directly, giving us the final result of addition.

1*a = a

1 = b/b

then:

23*25 * 1 = (23/25)(12/12)

= (23*12)/(25*12) =276/300

9/30 *1 = (9/30)(10/10)

= (9*10)/(30*10) = 90/300

Now add the terms;

(23/25) + (9/30) = (276/300) + (90/300)

= (276+90)/300

= 366/300

= 122/100

= 61/50

Therefore, the addition of the fraction 23/25 + 9/30 is equal to 61/50.

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Answer:

The number is:

16

Step-by-step explanation:

2(a/2 + 4) = 24

2*a/2 + 2*4 = 24

a + 8 = 24

a = 24-8

a = 16

Check:

2(16/2 + 4) = 24

2*16/2 + 2*4 = 24

16 + 8 = 24

Answer:

34

Step-by-step explanation:

Step-by-step explanation:

[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]

[tex]a(2x + 3) = 9x + 15 + x \\ a = \frac{5(2x + 3) }{2x + 3} \\ a = 5 \\ [/tex]

Hoor it helps

The solution of the given expression a(2x+3) = 9x+15+x is 5.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Given the expression,

a(2x+3) = 9x + 15 + x

Divide both sides by 2x + 3

a = (9x + 15 + x)/(2x + 3)

a = (10x + 15)/(2x + 3)

a = 5(2x + 3)/(2x + 3)

a = 5

Hence "The solution of the given expression a(2x+3) = 9x+15+x is 5".

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