The following data values represent a sample. What is the variance of the sample? X=9. Use the information in the table to help you.

Answer:

33.634 ; 134.536 ; d = √[(50t)² + (45t)²]

Step-by-step explanation:

Given the following :

Toyota Prius = East at 50mph

Dodge Circuit = South at 45mph

Distance apart after 30 minutes :

Distance = speed * time

Distance moved by Prius = ( 50mph × 0.5hr) = 25 miles

Distance moved by Circuit = ( 45mph × 0.5hr) = 22.5 miles

Hence Displacement after 30 minutes :

d = √(25² + 22.5²)

d = √625 + 506.25

d = √1131.25

d = 33.634 miles

Distance apart after 2 hours :

Distance = speed * time

Distance moved by Prius = ( 50mph × 2hr) = 100 miles

Distance moved by Circuit = ( 45mph × 2hr) = 90 miles

Hence Displacement after 2 hours :

d = √(100² + 90²)

d = √10000 + 8100

d = √18100

d = 134.536 miles

Distance d in miles after t hours :

d = √[(50t)² + (45t)²]

Answer:

C.

Step-by-step explanation:

-6 4/5 and 64/5 are opposites or a zero pair so when you add them you get zero.

Answer:

A. (-10,18); 412 yards

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Answer:

ok i did one of these before it was the 2nd or 3rd one

Answer:

The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.  

Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.  

Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps!  I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.

Answer:

  91 bpm

Step-by-step explanation:

  (70 bpm)(1 +30%) = 70·1.30 bpm = 91 bpm

Anna's pulse rate is 91 bpm.

Answer:

The square root of a positive number can be a negative or positive value.

Step-by-step explanation:

Answer

h(x)= x^2-x-12

(3)^2-3-12

9-3-12

12-12

0

Step-by-step explanation:

Answer:

no. 4

Step-by-step explanation:

Answer:

Greatest common factor (GCF) of 60: 223

Greatest common factor (GCF) of 108: 22333

The Greatest Common Factor (GCF) is:   2 x 2 x 3 = 12

Step-by-step explanation:

To get the Greatest Common Factor (GCF) of 60 and 108 we need to factor each value first and then we choose all the copies of factors and multiply them.

Answer:

sole it

the(<) it wants you to figure out each side and put the inequality in between what you get

Answer:

it's the first one

Step-by-step explanation:

I got it right on edge

The requried, expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

In order to remove pointless terms, factors, or operations from an expression, arithmetic, and algebraic principles are applied. The objective is to get an expression that is simpler to use, manipulate, or solve. For instance, factoring, merging like terms, or applying the distributive property can all be used to simplify an algebraic statement.

Here,
Given expression,
= (3x³y⁻²)²

To find the solution of the above expression given value of x and y,
= (3(-2)³(3)⁻²)²
= (3²(-2)⁶/3⁴)

Thus, the required expression to find the value of the given expression when x =-2 and y = 5 is 3²(-2)⁶/5⁴. Option A is correct.

Find out more about simplification by visiting this link: brainly.com/question/12501526
#SPJ7

Answer:

x = 4.8

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

Answer:

(i) 2197

Step-by-step explanation:

(i) 13^3

=  (10+3)^3

=  10^3 + 3^3 + 3(10)(3) (10+3)

=  1000 + 27 + 90(13)

=  1027 + 1170

= 2197

Answer:

0.03213586

Step-by-step explanation:

Answer: a=4b/5

Step-by-step explanation:

To solve for a, we want to use algebraic properties to isolate a.

3a+2b=6b-2a               [add both sides by 2a]

5a+2b=6b                     [subtract both sides by 2b]

5a=4b                           [divide both sides by 5]

a=4b/5

Now, we have found that a=4b/5.

Answer:

A' (3, - 7 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , thus

A(3, 7 ) → A'(3, - 7 )

Answer:

3

Step-by-step explanation:

The rate of change is just another way of saying slope.

The slope of a line is it’s rise over run.

We can see here that every time x increases by 1, y increases by 3. (This is where the triangle comes in handy).

Rise:3

Run:1

[tex]\frac{3}{1}=3[/tex]

So the rate of change is 3.

Hope this helped!

Answer:

is 3

Step-by-step explanation:

i got

Answer:

Always

Step-by-step explanation:

if two points lie in a plane, then the entire line containing those points lies in that plane

To find the zero of a function, we have to set f(x) equal to 0

0 = -3x + 1

Subtract 1 from both sides.

-1 = -3x

Divide both sides by -3

1/3 = x

Answer: 0.1587

Step-by-step explanation:

Given : The distribution of number of purchases per hour is approximately normal with mean 1,200 purchases and standard deviation 200 purchases.

i.e. [tex]\mu=1200,\ \ \sigma=200[/tex]

Let X denotes the number of purchases per hour.

Then ,

[tex]P(X>1400)=P(\dfrac{X-\mu}{\sigma}>\dfrac{1400-1200}{200})\\\\=P(Z>1)\ \ \[Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Z<1)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\\ =1-0.8413\ \ [\text{By p-value table}]\\\\= 0.1587[/tex]

So, the proportion of hours will the number of purchases at the online store exceed 1,400 =0.1587

Answer:

1/2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

28 * 2 = 56.

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

Answer:

Infinite number of solutions.  The equations and answers are the same no matter what number x you plug in.  

Step-by-step explanation:

-4(x + 5) = -4x - 20

-4x - 20 = -4x - 20

0 = 0

[tex]\text{Hello there! :)}[/tex]

[tex]\large\boxed{\text{Infinite solutions.}}[/tex]

[tex]-4(x + 5) = -4x - 20\\\\\text{Simplify:}\\\\-4(x) -4(5) = -4x - 20\\\\-4x - 20 = -4x - 20\\\\\\\\\text{Add 4x to both sides:}\\\\-4x + 4x - 20 = -4x + 4x - 20\\\\-20 = -20\\\\\text{Both sides of the equal sign are the same, so:}\\\\\\\text{Infinite solutions.}[/tex]