4. Write the equation of the line shown in the graph below. I​

Answer:

(20.322 ; 23.678)

Step-by-step explanation:

Given that :

ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11

Mean, m = ΣΧ / N = 242 / 11 = 22

Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]

Standard deviation = sqrt[(5413/11) - (242/11)^2]

Standard deviation = sqrt(8.0909090) = 2.84

Confidence interval = m ± Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Lower boundary = 22 - 1.96*2.84/sqrt(11)

Lower boundary = 22 - (1.96 * 0.8562922) = 20.322

Upper boundary = 22 + (1.96 * 0.8562922) = 23.678

Answer:

42.9

Step-by-step explanation:

Remember your decimal rules when doing long division

Answer:

20

Step-by-step explanation:

ok so for every 2 dogs is 5 so 2,5; 4,10; 6,15; 8,20.

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

Answer:

Step-by-step explanation:

I'm pretty sure the expression is 1/3 ÷ 6

This is because there are 6 friends in all and you are splitting 1/3 of the pan snack bars to each of them.

So, what your splitting/cutting/dividing would be the dividend (1/3) and then the friends would be the divisor (6)

Answer: 10/20 or 1/2

Step-by-step explanation:

10 is the half of twenty, if she’s gonna eat the rest, she’s gonna eat the other half

Santa ate 10/20. right?

so you would subtract 10 from 20

which would give you 10

so Mrs. Claus also ate 10/20

-----

Another way to solve:

since 10/20 = 50%

Mrs. Claus ate the same amount

because 50% is half of 100% ( 1 whole )

So, Mrs. Claus ate 10/20

Answer:

The answer is 80. If you multiply 40 x 3 it is 120 and 40 x 2 is 80 so 2/3 of 120 is 80 NOT 40

9514 1404 393

Answer:

  (A)  -7

Step-by-step explanation:

The function is continuous if you can draw its graph without lifting your pencil. In this case, that means each of the piecewise function definitions must have the same value at x=3.

  x^2 +2 = 6x +k  . . . . . must be true at x=3

  3^2 +2 = 6(3) +k . . . . substitute 3 for x

  9 +2 -18 = k . . . . . . . . subtract 18

  k = -7 . . . . . . . simplify

Answer:

Step-by-step explanation:

Answer:

y

≤

−

x

−

2

(1)

y

≥

−

5

x

+

2

(2)

First graph the 2 linear functions by intercepts:

a. y1 = - x - 2

Make x = 0 --> y-intercept is -2

Make y = 0 --> x-intercept is - 2

b. y2 = -5x + 2

Make x = 0 --> y-intercept is 2

Make y = 0 --> x-intercept is

2

5

Graphically solve the 2 linear inequalities (1) and (2).

The solution set of (1) is the area below the line y1. Color it.

The solution set of (2) is the area above the line y2. Color it.

The combined solution set of the system is the area commonly shared by the 2 above solution set areas.

graph{-x - 2 [-10, 10, -5, 5]}

graph{-5x + 2 [-10, 10, -5, 5]}

Answer:

40

Step-by-step explanation:

100/2.5=40

Answer:

4 6/15

Step-by-step explanation:

The picture will give the explanation of why I see 4 6/15

( ( 4 /10 x)(6) /4 x)(2) /3

Product:  2 /5 x^2

Simplified: You can't simply that.

(I hope this is correct, correct me if I'm wrong.)

Answer:

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Step-by-step explanation:

The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground.

This means that the temperature in n miles above ground is given by:

[tex]T(n) = 12 - 5.2n[/tex]

What would be temperature outside plane located at 3 miles above the airport

This is T(3). So

[tex]T(3) = 12 - 5.2*3 = 12 - 15.6 = -3.6[/tex]

The outside plane located at 3 miles above the airport is of -3.6 degrees.

Answer:

She walks back for 4.2 hours

Step-by-step explanation:

Notice that we don't know the distance of the race (so let's name it "d").

She clearly would spend less time running (t1) the distance d at 7 mph, than when coming back walking (t2) at 3 mph.

But we know that the addition of both times must be 6 hours which is what she has to spend:

t1 + t2 = 6

Considering the equation that relates distance (D), time(t) , and speed (v) as:

v = D/t

we can solve for the times t1 and t2 in each trip (running vs walking){

t1 = d/7

t2 = d/3

then when we add these two equations term by term, we get:

t1 + t2 = d/7 + d/3

extract d common factor;

t1 + t2 = d (1/7 + 1/3)

replace t1 + t2 with the 6 hours:

6 = d (10/21)

multiply both sides by 21, and divide both sides by 10 to isolate d:

21 * 6 / 10 = d

d = 12.6 miles

Now knowing the distance she run and walked, we can find the time she spent walking back (t2)

t2 = 12.6 /3 = 4.2 hours

Answer:

6 8 10 12 14

Step-by-step explanation:

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

oposite to its angle when they are parallel

Answer:

80

Step-by-step explanation:

because T to R is 80 too

Answer: 7/12 a light year I believe

Step-by-step explanation:

So what you do is you make the denominators of 1/2 and 1/12 the same which would be 6/12 and 1/12.

You then add them together and you get 7/12

I am sorry if this isn't right :< this is my 1st answer :>

Answer: below

Step-by-step explanation:

So, in order to rationalize the denominator, we need to get rid of all radicals that are in the denominator.

Step 1: Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. ...

Step 2: Make sure all radicals are simplified. ...

Step 3: Simplify the fraction if needed.

Answer:d and a

Step-by-step explanation:

Answer:

Add

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

you have 72 and 6

72 divided by 6 equals 12.

12 x 6 = 72

12 = x

Answer:

so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned