Step-by-step explanation:
First, find the degrees of freedom:
df = n − 1
df = 49
To find the p-value manually, use a t-score table. Find the row corresponding to 49 degrees of freedom. Then find the α column that corresponds to a t-score of 1.421. You'll find it's between α = 0.10 (t = 1.299) and α = 0.05 (t = 1.677). Interpolating, we get an approximate p-value of 0.084. For a more accurate answer, you'll need to use a calculator.
You use the formula:
<span>A = angles/360*pi*r^2
</span>A = 32/360pi*8.5^2 = 0.279* 72.25= 20.15775 rounded to 20.2
I hope that this is the answer that you were looking for and it has helped you.
Answer:
Step-by-step explanation:
Since we are dealing with z scores, then the distribution is a normal distribution. The formula for determining the z score is expressed as
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 21.9
σ = 4.9
For significantly low values, z = - 2
Therefore,
- 2 = (x - 21.9)/4.9
- 2 × 4.9 = x - 21.9
- 9.8 = x - 21.9
x = - 9.8 + 21.9
x = 12.1
Significantly low test score = 12.1
For significantly high values, z = 2
Therefore,
2 = (x - 21.9)/4.9
2 × 4.9 = x - 21.9
9.8 = x - 21.9
x = 9.8 + 21.9
x = 31.7
Significantly high score = 31.7
Answer:
D
Step-by-step explanation:
The y-intercept is (0, −27.6). This means that if no mint candies are dropped into the bottle of soda pop, the height of the spurt is −27.6 cm. This does not make sense within the context of the problem.
Answer:
Commutative Property of Addition
Step-by-step explanation:
3+2 =5 + 6 = 11
6+2 = 8 + 3 = 11