Answer:
A. 30 adults; B. 24 not dolls
Step-by-step explanation:
A.

B.
If five-eighths of the prizes were dolls, then three-eighths of the prizes were not dolls.

Answer:
(a) 0.05 minutes per calorie burned
(b) Slope = 20
Step-by-step explanation:
(a) If 200 calories are burned in 10 minutes...then what about 1 calorie
; 1/200 × 10 = 0.05 minutes
(b) Slope of the graph...;just take any two points on the graph...which are (10;200) and (20;400)
Slope = (400 - 200) ÷ (20 - 10)
;Slope = 200 ÷ 10
;Slope = 20
Answer:
0.999987
Step-by-step explanation:
Given that
The user is a legitimate one = E₁
The user is a fraudulent one = E₂
The same user originates calls from two metropolitan areas = A
Use Bay's Theorem to solve the problem
P(E₁) = 0.0131% = 0.000131
P(E₂) = 1 - P(E₁) = 0.999869
P(A/E₁) = 3% = 0.03
P(A/E₂) = 30% = 0.3
Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :




= 0.999986898 ≈ 0.999987
Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as
. So let's plug in known values:

Multiply both sides by x

divide both sides by sin(43)

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

simplify the fraction
