if the standard deviation of a variable is 8​, what is the​ variance?

Answer:

Step-by-step explanation:

[tex]4 {x}^{2} + 8x - 7 - (3 {x}^{2} - x + 9)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression:

[tex]4 {x}^{2} + 8x - 7 - 3 {x}^{2} + x - 9[/tex]

Collect like terms

[tex]4 {x}^{2} - 3 {x}^{2} + 8x + x - 7 - 9[/tex]

[tex] {x}^{2} + 9x - 7 - 9[/tex]

Calculate

[tex] {x}^{2} + 9x - 16[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

  P''(1, 7)

Step-by-step explanation:

4 units right and 1 left will add a net of +3 to the x-coordinate.

2 down and 5 up will add a net of +3 to the y-coordinate.

The coordinates of P with 3 added to each are ...

  P'' = P(-2, 4) +(3, 3) = P''(1, 7)

Answer:

Heyyyy... Your ans!

Plz follow. Me..

Step-by-step explanation:

Answer:

Your answer is d=6b

Step-by-step explanation:

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram PQRS

[tex]PQ = x^2 - 10[/tex]

[tex]SR = 3x[/tex]

Required

Find all possible values of x

Every parallelogram have parallel and equal opposite sides;

From the given parameters, one can easily deduce that PQ and SR are opposite sides;

This implies that

[tex]PQ = SR[/tex]

Substitute values of PQ and SR

[tex]x^2 - 10 = 3x[/tex]

Subtract 3x from both sides

[tex]x^2 - 10 -3x = 3x - 3x[/tex]

[tex]x^2 - 10 -3x = 0[/tex]

Rearrange

[tex]x^2 -3x- 10 = 0[/tex]

Now, we have a quadratic equation;

Expand the above expression

[tex]x^2 +2x-5x- 10 = 0[/tex]

Factorize

[tex]x(x+2)-5(x+2) = 0[/tex]

[tex](x-5)(x+2) = 0[/tex]

[tex]x - 5 = 0[/tex]   or    [tex]x + 2 = 0[/tex]

Solve for x in both cases

[tex]x = 5[/tex] or [tex]x = -2[/tex]

But x can't be negative;

So, the possible value of x is

[tex]x = 5[/tex]

Answer:r

Step-by-step explanation:

On isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

The isolation of a variable is a process to take one variable on one side of the equation and everything else on the other side. This is done following a set of mathematical operations.

In the question, we are asked to solve for a, from the given equation:

M = 7a + 5ab.

To solve for a, we will isolate 'a' on one side of the equation, and on the other side, we will have the value of 'a'.

To isolate 'a', we will follow these steps:

M = 7a + 5ab

or, M = a(7 + 5b) ... (Taking a common between 7a and 5ab)

or, a(7 + 5b) = M ... (Changing the sides)

or, {a(7 + 5b)}/(7 + 5b) = M/(7 + 5b) ... (Dividing both sides by (7 + 5b))

or, a = M/(7 + 5b) ... (Simplifying)

Thus, on isolating 'a', from the given equation M = 7a + 5ab, we get the value of a = M/(7 + 5b). Hence, option B is the right choice.

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Answer:

its quite simple...

the formula to find volume= width x height x length ( or area x length)

Step-by-step explanation:

of A

of B

length of whole prism= 4

Volume (A)= w x h x l

                 =  5 x 9 x 4

                = 180 cm³

volume (B)= w x h x l

                = 3 x 2 x 4

                = 24 cm³

add both values to get the volume of whole prism = 180 + 24

                                                                                    = 204 cm³

Answer:

C. outlier = 138

mean with outlier = 27.1

median with outlier = 11

mean without outlier = 8.7

median without outlier = 8

Step-by-step explanation:

Hey there!

Well if the outlier is 138 then we can cross out choices A and B.

So let's find the mean with and without the outlier.

With - 27.1

Without - 8.7

Median)

With - 11

Without - 8

By using this information we can conclude that the answer is C.

Hope this helps :)

Answer:

Whenever  [tex]a\leq 5[/tex].

Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]

So 5 works. Let's try a random number like 3.

[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]

Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.

[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]

Zero works.

[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]

-3 works.

[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]

-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.

[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]

Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].

Hope this helped!

Answer:

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Step-by-step explanation:

we will use the concept of triangle

1. sum of two sides of triangles is always greater than the third side

2. difference of trow sides of triangle  is always less than the third side.

Given two sides

23 and 44

let the third side b x

using first concept

sum of to sides = 23+44 = 67

thus,

x <67

using second concept

Difference of to sides = 44 - 23 = 21

thus,

x  > 21

Combining

x <67 and x  > 21

21 < x < 67 answer

Range is between 21 and 67 where 21 and 67 are not included in the range.

Answer:

(0, 1)

Step-by-step explanation:

The point lies on the line x = 0.

The point lies on the line y = 1.

Where both lines intersect, that is the coordinate.

(x, y)

(0, 1)

Answer:

The length of AB is 6

Step-by-step explanation:

Graph the question out.

Count from A to B

Answer:

B. 13

Step-by-step explanation:

Flower Power Day Number of Flowers median = 37

Rose in the Hand Day Number of Flowers median = 50

50 - 37 = 13

Answer:

8,12,16

Step-by-step explanation:

if the pattern is increasing by four's then the next three numbers would be

8,12,16

Answer:

Marilyn likes classical

Donna and Valr likes either pop or hiphop

Answer:

I ANSWERED FIRST QUESTION

4A= 31.25X

4B=16      

CUZ 500/31.25=16

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

           ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                          PEACE!

Answer:

4a : $31.25 [tex]*[/tex] x, 4b : 15 calculators

Question 5 ( 1 ) : [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ), Question 5 ( 2 ) : { Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Step-by-step explanation:

4a. If a school paid $31.25 per calculator, n number of calculators would signify a total cost of $31.25 [tex]*[/tex] n. Similarly if the school bought x number of calculators they paid a total of $31.25 [tex]*[/tex] x.

4b. We know that the school paid $31.25 per calculator, and that they spent $500. To determine the count of calculators we can create an equation that represents the relationship between the total cost, and the number of calculators.

$500 =  $31.25 [tex]*[/tex] x, where x = number of calculators,

x = ( About ) 15 calculators

The exact value was 15.87...but as the number of calculators is a whole number ( you can't have part of a calculator ) our solution had to be rounded down to the nearest whole value. After all, we can't have 16 calculators if there are only " 15.87 " present.

Question 5.

1 ) Kiran won 2 / 3rds as many chips as Jada, so we can say K = [tex]\frac{2}{3}[/tex]J. Similarly Mai won 4 times as many chips as Kiran ( M = 4K ) and Tyler won half as many chips as Mai ( T = [tex]\frac{1}{2}[/tex]M ). Tyler won half as many chips as Mai, but Mai already won 4 times as many chips as Kiran, who in turn won 2 / 3rd as many chips as Jada. Therefore we can substitute each of the expression into one another,

K = [tex]\frac{2}{3}[/tex]J ⇒ M = 4K ⇒ T = [tex]\frac{1}{2}[/tex]M,

M = 4(  [tex]\frac{2}{3}[/tex]J ) ⇒ T = [tex]\frac{1}{2}[/tex]M,

T =  [tex]\frac{1}{2}[/tex]( 4 )( [tex]\frac{2}{3}[/tex]J ) - this is our expression.

2 ) If Jada won 42 chips, we can calculate the number of chips everyone has, knowing that they each are related by a common expression,

Kiran = [tex]\frac{2}{3}[/tex]J = [tex]\frac{2}{3}[/tex]( 42 ) = 28 chips,

Mai = 4(  [tex]\frac{2}{3}[/tex]J ) = 4( 28 ) = 112 chips,

Tyler = [tex]\frac{1}{2}[/tex]M = [tex]\frac{1}{2}[/tex]( 112 ) = 56 chips

{ Kiran ⇒ 28 chips, Mai ⇒ 112 chips, Tyler ⇒ 56 chips }

Answer: 1 & 4

Step-by-step explanation:

Just did it

Answer:

A.The height of the new trapezoid will be 1 ft.

D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.

Step-by-step explanation:

edg2020

Answer:

210.8

Step-by-step explanation:

Answer

1)<2) please put 5 stars

Step-by-step explanation

First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.

6*x=42. x=7 5*7=35. -35/42 is the first fraction.

7*y=42 y=6 3*6=18. -18/42 is the second fraction.

-35/42 would be bigger but since it is negative, it is smaller.

Answer:

1)<2)

Step-by-step explanation:

Answer:

I not understand

Step-by-step explanation:

what it this

Answer:

80

Step-by-step explanation:

The median is the middle line of the box plot

Answer:

def 80

Step-by-step explanation:

Step-by-step explanation:

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

slope of WU = (4 - 1)/(2 - 0) = 3/2

slope of VU = (2 - 4)/(5 - 2) = -2/3

product of the slopes: 3/2 * (-2/3) = -1

The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, <U is a right angle.

The slopes of WU and VU are negative reciprocals since their product is -1 Therefore, angle U is a right angle.

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

The slope of WU = (4 - 1)/(2 - 0) = 3/2

The slope of VU = (2 - 4)/(5 - 2) = -2/3

The product of the slopes: 3/2 * (-2/3) = -1

Thus, The slopes of WU and VU are negative reciprocals since their product is -1.

Therefore, angle U is a right angle.

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Answer:

∠B = 63°, ∠F = 59°

Step-by-step explanation:

Given that  angle D measures 31° and angle A measures 27°.

From the diagram attached, ∠ E = 90°, ∠G = 90°.

Also ∠C + ∠G = 180° (sum of angles on a straight line)

∠C + 90 = 180

∠C = 180 - 90 = 90°

To find the measure of ∠B and ∠F, we use the triangles ABC and DEF, remember that the sum of all interior angles of a triangle is 180°. In triangle ABC:

∠A + ∠B + ∠C = 180° (angles in a triangle).

27 + ∠B + 90 = 180

∠B + 117 = 180

∠B = 180 - 117

∠B = 63°

Also in triangle DEF:

∠D + ∠E + ∠F = 180° (angles in a triangle).

31 + 90 + ∠F = 180

∠F + 121 = 180

∠F = 180 - 121

∠F = 59°

Answer:

32.137 cm squared **Answer varies on how you round for step 2**

Step-by-step explanation:

**THIS ONLY WORKS IF DIAMETER IS ALSO 6 CM**

If the diameter is also 6 cm then the triangle would be isosceles .

1. Find the area of the triangle.

            Formula: (Base x Height) / 2

            = 6X6/2 = 18 cm squared

2. Find area of half-circle.

            Formula:  (πR^2)/2

            = (π X 3^2)/2 = 9π/2 which is about 14.137 cm squared

3. Add the areas.

            18 + 14.137 = 32.137 cm squared.

Step-by-step explanation:

Hi!!

It's simple, you can do it easily.

no. of miles = 10 miles

time = 55 mins.

now,

no. of mins for 1 mile = no. of miles/ time

= 10 /55

=0.18181818 min.

so, she takes 0.181818 or 2/11 min per each mile.

Hope it helps...

Part A

House 1: we make exponential can be used to describe the

value of house 1. After 1 year, 253480 = 249000 x 1.02

After 2 years, 259059.6 = 25398×1.02. After 3 years 264240.79 =259059.60x1.02.

House 1: we make linear. 256000=249000 + 1000.263000 = 256000 +7000.270000=263000 + 1000.

Part B.

House 1: f(x)=249000 1.02x [genometic sequence]

House 2: f(X) = 24900 + 1000x [arithmetic progression]

Part C

House 1: f(45)=249000×1.02 45 = 607025.697

House 2: f(45) = 249000 +7000x45 = 564000

"House 1 is an arithmetic sequence that increases in price each year while House 2 is an arithmetic sequence that only increases by 1000 per year.

In computational mathematics, a word problem is a problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

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Answer:

answer is5th one

Step-by-step explanation:

5th one is the answers...its equal to the expression given

Answer:

increase

Step-by-step explanation:

The rate at which you burn calories is called your metabolic rate. During exercise, you not only increase metabolism in your muscles but also in your respiratory and circulatory systems. You need a faster rate of breathing and heart rate to deliver oxygen and nutrients to your muscles.

Answer:

The number is 32.

The equation is 32 - 9 = 23.

Explanation:

The original number is 32, but when you subtract 9, the number changes to 23. So the digits reversed.

The required number is 32 and the equation is 10x+y.

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. To Find the number and the equation

In mathematics it deals with numbers of operations according to the statements.

Let the number at unit place is y and at tenth place is x so the number is
=10x+y
Now sum of the number is 5
x + y =5    -------(1)
When 9 is subtracted from the number, the digits will be reversed.
10x+y-9=10y+x
9x-9y=9
x-y=1    ------(2)

Solving equation 1 and 2
y = 2
x = 3
the number 10(3)+2 = 32

Thus, The required number is 32.the equation is 10x+y.

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