What is the measure of <br> Angle x?

After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?

MatroZZZ [7]

Multiply the average by the number of exams to find total points:

8 x 55 = 440

9 x 60 = 540

The score of the 9th exam is the difference between the two totals:

540 - 440 = 100

They scored a 100

6 0

3 years ago

Consider the probability that fewer than 26 out of 107 cell phone calls will be disconnected. Assume the probability that a give

anyanavicka [17]

Answer:

We assume the condition of independence satisifed.

We need to check the following conditions in order to use the normal approximation.

$np=107*0.98=104.86 \geq 10$

$n(1-p)=107*(1-0.98)=2.14 < 10$

So we see that we satisfy the first condition, but the second no so then we can't apply the approximation for this case, since we need both conditions at the same time in order to use the normal approximation.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=107, p=0.98)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem