45/15 which equals 3 3/14 as a mixed number
The answer is 128 cause 8×4×4=128
Answer:
Step-by-step explanation:
Using either the critical value rule or the p-value rule, a conclusion can be drawn at a level of significance (alpha)
The null hypothesis: u = hypothesized mean
Alternative hypothesis: u > u0 or u < u0 for a one tailed test
Alternative hypothesis for a two tailed test: u =/ u0
To draw a conclusion by failing to reject the null hypothesis as stated then: using critical value
Observed z score > critical z score for both the one and two tailed test.
Or using p value:
P-value > alpha for a one tailed test
P-value > alpha/2 for a two tailed test
Thus, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis will also not be rejected at the same significance level.
Answer:
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Step-by-step explanation:
Let's find volume of the cylinder and volume of the three spheres.
Volume of cylinder =
Volume of sphere =
Now, r =2.7
h=8.1
Find volume of each shape.
Volume of cylinder =
=59.049
Now, volume of 3 spheres =
=78.732
Now, p(E)=
So, Probability of point is chosen at random inside the cylinder which belongs outside of the spheres is

Let's simplify them
0.25
A point is chosen at random inside the cylinder, then probability the point belongs outside of the spheres is 0.25
Answer:
The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%
Step-by-step explanation:
As the test is targeted to 18-to-29-year-old adults using social media, we want to know the probability that a randomly selected adult uses social media and belong to the study group.
To achieve this, we have this data:
- 36% of all adults do not use social media
- 75% of all adults are >30 years old.
- The percentage of population that is <em>either</em> 18-29 years old <em>or</em> uses social media is 66.7%
Using the last data we have that

The probability of randomly select an adult that has between 18 and 29 years old and use social media is 22.3%