Answer:
There is sufficient evidence at 0.05 significant level to support company's claim.
Step-by-step explanation:
We have these informations from the question
n = 1400
P^ = 31% = 0.31
Alpha level = 5% = 0.05
Then we come up with the hypothesis
H0: P = 0.28
H1: P>0.28
From here we calculate the test statistic
z = p^ - p/√pq/n
P = 0.28
q = 1-0.28
= 0.72
z = 0.31-0.28/√(0.31*0.72)/1400
= 0.03/√0.0001594
= 0.03/0.012
= 2.5
Then we have a p value = 0.00621
The p value is less than significance level
0.00621<0.05
So the null hypothesis is rejected.
We conclude that There is sufficient evidence at 0.05 significant level to support company's claim.
Given:
5 students are able to share 20 crayons.

For 30 students,

Answer: There are 120 crayons are needed for 30 students.
Answer:
Step-by-step explanation:
Wait where is the picture
Answer:
V = 27/64 cubic inches
Step-by-step explanation:
Given the information in the photo:
- The height: 3/4 in
- The length : 3/4 in
- The width : 3/4 in
The volume of this solid using the formula
V=Bh where:
- h is the height
- B is the area of the base = The length * The width
=> The volume of this solid is:
V = 3/4 * 3/4 * 3/4
<=> V = 27/64 cubic inches
Hope it will find you well