Answer:
Step-by-step explanation:
16×2/3
32/3
104
Answer:
48 ways
Step-by-step explanation:
Let me take a guess
S₁_₁₅ = (1+15)*7 + 8 = 120
There are 48 combinations of distinct digits from 1 to 15 to make 20
120-20=100
So every 20 has a corresponding 100
I wish I got it right, otherwise report it.
Answer:
There is an 84.97% probability that at least six wear glasses.
Step-by-step explanation:
For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

What is the probability that at least six wear glasses?

There is an 84.97% probability that at least six wear glasses.
Answer:
a
The null hypothesis is

The Alternative hypothesis is

b

c

d
Yes the mean population is significantly less than 21.
Step-by-step explanation:
From the question we are given
a set of data
20 18 17 22 18
The confidence level is 90%
The sample size is n = 5
Generally the mean of the sample is mathematically evaluated as


The standard deviation is evaluated as



Now the confidence level is given as 90 % hence the level of significance can be evaluated as

%

Now the null hypothesis is

the Alternative hypothesis is

The standard error of mean is mathematically evaluated as

substituting values


The test statistic is evaluated as

substituting values


The critical value of the level of significance is obtained from the critical value table for z values as

Looking at the obtained value we see that
is greater than the test statistics value so the null hypothesis is rejected