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Molodets [167]
3 years ago
8

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations.

Mathematics
1 answer:
ki77a [65]3 years ago
4 0

Answer:

The variance is  \sigma ^2  =25

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  21

     The sum of squares is SS =  500

Generally the variance is mathematically represented as

           \sigma ^2  = \frac{SS}{n- 1}

substituting values

          \sigma ^2  = \frac{ 500}{21- 1}

          \sigma ^2  =25

   

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Pls help asap
yuradex [85]

Answer:

y=525x+230

Step-by-step explanation:

525 is spent everyday. x is the number of days, so with each day $525 is spent.

$230 is a one time cost, regardless of how many days they stay on the trip.

3 0
3 years ago
Determine the center and radius of the following circle equation:
ioda

Answer:

C(5,-9) and r=8.

Step-by-step explanation:

C(p, q) - center

r=radius

k:x^2 +y^2 +dx+ey+f=0

x^2+y^2 - 10x+18y+42=0

d=-10, e=18, f=42

p=-d/2=-(-10)/2=10/2=5

q=-e/2=-18/2=-9

r^2 =p^2+q^2-f

r^2 =5^2 +(-9)^2 - 42

r^2=25+81-42

r^2 =106-42

r^2 =64

r=sqrt(64)

r=8

C(p,q)=C(5,-9) r=8

5 0
3 years ago
An ice-cream store sold 70 sundaes. The ratio of
elixir [45]

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

3 0
3 years ago
A ladder is placed against a wall of a building 20m above the ground. The foot of the ladder is 15m away from the bottom of the
olganol [36]
By the Pythagorean Theorem:

L^2=20^2+15^2

L^2=400+225

L^2=625

L=25 m
4 0
3 years ago
The speed of light is 186,182 miles per second. How many miles can light travel in a non-leap year? Express your answer in scien
zepelin [54]
So theres 366 days in a leap year, 
you need to find hours, minutes, and then seconds
366 x 24 = 8,784 hours 
8,784 x 60 = 527,040 minutes
527,040 x 60 = 31,622,400 seconds
31,622,400 seconds x 186,182 mps = 5.88 x 10^10 
therefore light travels 5.88 x 10^10 in one leap year
7 0
3 years ago
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