Answer:
43,872
Step-by-step explanation:
The growth of cell phone subscribers in Centerville can be modeled by an exponential function.
y = ab^x . . . . . where a = initial value, b = growth factor
The growth rate is given as 75% per year, so x will have units of years. It will be zero for the year 1985. The growth factor is ...
b = 1 + growth rate = 1 +0.75 = 1.75
Then the model is ...
y = 285·1.75^x
__
For x = 1994 -1985 = 9, the number of subscribers is modeled as ...
y = 285·1.75^9 ≈ 43,872
The model predicts 43,872 cell phone subscribers in 1994.
Using the rule of angles in parallel lines, ∠Q and ∠R are supplementary to each other
∠Q+∠R = 180°





Size of ∠Q = 25+15 = 40°
Size of ∠R = 6(25) - 10 = 140°
∠Q also supplementary with ∠P, hence ∠P = 140°
∠P supplementary with ∠S, hence ∠S = 40°
Answer:
Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:
31.2%
Step-by-step explanation:
The probability of getting exactly k successes in n trials is given by the probability mass function:

Where p denotes the probability of success.
We are given that the probability of success if 50%.
i.e. 
also form the question we have:
k=3 and n=6.
Hence the probability of exactly 3 successes in 6 trials is:




Hence,

In percentage the probability will be:

1. 56
2. 10
3. 16
4. 2
5. 12
Answer:
given below
Step-by-step explanation:
let the number of gloves be y
then number of masks is y + 8
therefore a equation can be formed:
18(y) + 24(y + 8) = $612
18y+24y+192=612
42y=420
y=$10
each glove cost $10
therefore each masks cost $18