Answer:
30 feet
Step-by-step explanation:
Let x be the length of the ladder. Then, x cos(60) = 15
If we divide both sides by cos(60), then x = 30 feet.
Answer:
(3,16)
Step-by-step explanation:
The degrees of freedom of the critical value F are (k-1,n-k).
We are given that there are four sample group, so,
k=4.
Also, we are given that the each four groups contains five observations, so,
n=4*5
n=20
The critical value F has degree of freedom
(k-1,n-k)
(4-1,20-4)
(3,16).
Thus, the degrees of freedom for the critical value of F are (3,16).
Answer:
0.61596
Step-by-step explanation:
Given that:
λ = 5 (5 errors per page)
Poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
Probability that page does not need to be retyped means that error on page is less than or equal to 5
P(x ≤ 5) = p(x = 5) + p(x = 4) +... + p(x = 0)
The individual probabilities can be obtained using the formula above or the use of a calculator
P(x ≤ 5) = 0.17547 + 0.17547 + 0.14037 + 0.08422 + 0.03369 + 0.00674
P(x ≤ 5) = 0.61596
Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
