Variance and standard deviation

Answer:

3

Step-by-step explanation:

3x9=27

4x7=28

Your son is 3 years old now

Step-by-step explanation:

If you do 9 times 3, you would get 27, and when you do 4 times 7, you would get 28. So, it makes sense since you get 1 year older and you are 9 times as old and then you will be 7 times as old. So, right now, your  son is 3 years old.

Answer:

a. 0.8x+1.25y

b. $5.70

Step-by-step explanation:

a. Let x represent the number of apricot bars and y represent the number of cranberry bars. A apricot bar costs 0.80 each and cranberry bars cost 1.25 each. So the expression for the income is 0.8x+1.25y.

b. To find the answer, plug in values to the previous expression. Since Kayley bought 4 apricot bars and 2 cranberry bars, plug in 4 for x and 2 for y.

0.8(4)+1.25(2)= 5.70

So, she spent $5.70.

Answer:

B

Step-by-step explanation:

66/4=99/6=330/20=16.5

Since there is a constant ratio between these values, the function is a line, and the equation of that line is w=16.5m, or choice B. Hope this helps!

Answer:

w=16.5

Step-by-step explanation:

All you have to do is divide the number of gallons of water by the number of minutes and you will get your answer.

66/4=16.5

99/6=16.5

330/20=16.5

I hope I've helped.

Answer:x=2

Step-by-step explanation:

X=-b/2a

b=-4 a=1 in front of x

X=- - -4/2

X=4/2=2

Answer:

All of the following should be considered when buying a computer.

Answer:

3/5

Step-by-step explanation:

First one   18^2 - 4(-1)(81)  > 0    so no repeated root

Second one     (-3)^2  - 4(3) (-168)  >  0    so no repeated root

Third one   (-4) - (4) (1) (-4)  > 0      so no repeated root

Fourth one  (-30)^2  - 4(25) (9)   =  900 - 100(9)  =  0      repeated root

Note  this factors  as  (5x - 3)^2  

(5x - 3)^2  = 0     take both roots

5x - 3  = 0

5x  = 3

x  =  3/5   = repeated root

The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5

Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.

Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.

If  [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.

The discriminant of [tex]-x^{2} +18x+81[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]3x^{2} -3x-168[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]x^{2} -4x-4[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0

So, This quadratic has no repeated root.

The discriminant of [tex]25x^{2} -30x+9[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0

So, This quadratic has repeated root.

The discriminant of [tex]x^{2} -14x+24[/tex] is,

[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0

So, This quadratic has no repeated root.

The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.

Simplifying the equation we get,

[tex]25x^{2} -30x+9[/tex] = 0

⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0

⇒ [tex](5x-3)^{2}[/tex] = 0

⇒ 5x-3 = 0

⇒ 5x = 3

⇒ x = 3/5

The repeated root is 3/5.

Learn more about quadratic here :

https://brainly.com/question/16073165

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Answer:

1/5=10/50

2/9=20/90

Step-by-step explanation:

1/5 is just a simpler way of saying 10/50 same as 2/9

Answer:

6 hours and 30 min

Step-by-step explanation:

Take the miles and divide by mph then you get the time

Answer:

5/8

Step-by-step explanation:

i think number 4. is. a, d, r

Answer:

(k + 8) • (2k + 9)

Step-by-step explanation:

I strongly suggest downloading Photomath. It’ll help a lot.

Answer:

a = -5

b = 2

Step-by-step explanation:

a+b=-3

a-b= -7              +

2a  = -10

a = -10/2

a = -5

a + b = -3

-5 + b = -3

b = -3 + 5

b = 2

Answer:

2 * 43

Step-by-step explanation:

Answer:

2*43

Step-by-step explanation:

The value of X is 1.6

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]x = 1.6[/tex]

Step-by-step explanation:

[tex]x + 4.7 = 6.3 \\ x = 6.3 - 4.7 \\ x = 1.6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

y-intercept is (0,8) and x-intercept is (5,0)

Step-by-step explanation:

Answer:

44/3

Step-by-step explanation:

The formula of volume of any prism is Bh

B=Area of the base

h=height

So just multiply them together:

So as a mixed fraction you get 14 2/3

Improper fraction: 44/3

Hope this helps!  

Answer:

14 classes

Step-by-step explanation:

if she pays $5 per cycling class than in May she payed $20. $55 - $20 = 35. If in June the cost was double the membership fee than 35 x 2 = 70. Than you do 70 / 5 = 14.

Answer:

it is 300

Step-by-step explanation:

you must multiply 15 by 4 by 4

The volume of the prism is 300 in³.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The length of the prism is 15 inches.

The width of the prism is 4 inches.

The height of the prism is 5 inches.

To find the volume of the prism, we use the formula.

V = l w h

V = (15)(4)(5)

V = 300 cubic inches.

Therefore,

The volume of the prism is 300 in³.

Learn more about Prism here:

https://brainly.com/question/12649592

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Polygon: a figure formed by coplanar segments

with one distinct interior region

Figure A, Figure B, and Figure D would be considered polygons.

Notice that those figures I mentioned above are

composed of line segments, and nothing else.

In addition, these figures don't have two separate

interior regions and figures that do aren't polygons.

Figure C would not be a polygon because

it's formed by a curve rather than line segments.

Answer:

The area for both shapes = 4

Step-by-step explanation:

Area of triangle 1/2hb

Area of square s^2

triangle: 1/2 *4*2= 4

square: 2^2 =4

Answer:

if it's for the first one this is the answer I think not 100%sure

y=12x+36

Step-by-step explanation:

Answer:

a ≤0  but without the line

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

Calculate the actual floor area:  A = (10 1/8 ft)(13 3/4 ft), or, as decimal fractions,

A = (10.125 ft)(13.75 ft) = 139.22 ft^2

Mary's purchase of 150 ft^2 of carpet is more than enough to cover 139.22 ft^2.  YES, she will have enough carpet.

Answer:

21a + 9

Simplifying

21a + 9

Reorder the terms:

9 + 21a

Factor out the Greatest Common Factor (GCF), '3'.

3(3 + 7a)

Final result:

3(3 + 7a)

HOPE THIS HELP

Answer:

[tex]3(7a+3)[/tex]

Step-by-step explanation:

Answer:

factor by grouping

(x-1) (5x-6)

Step-by-step explanation:

correct me if i am wrong

Answer:

$338.50

Step-by-step explanation:

Simple interest would be i = ($2500)(0.09)(1.5 yrs)  =  $338.50

Start by isolating the x term which is 20x by dividing both sides by 20.

That leaves you with x = 10/20 which can be reduced to x = 1/2.

Answer:

B) Z

Step-by-step explanation:

Answer:

B) 2

Step-by-step explanation:

the initial value would be the first point and on this graph that first point is (1,2). and you should look at the x-value meaning your answer is 2

Answer:

It's 2

Step-by-step explanation: hope it helps ^w^

Answer:

2. the slope is -10 and y-intercept is 1

Step-by-step explanation:

hope this helps!

Answer:

B. The slope is –10, and the y-intercept is 1.

Step-by-step explanation:

Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:

- m: this is the slope value

- b: this is the y-intercept

Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.

Thus, the answer is B.