Answer:
the answer is 12 gallons
Step-by-step explanation:
make fractions improper:
9/8 and 25/2
make them have a common denominator:
9/8 and 100/8
to make a whole gallon but what you do to one side you do to the other:
9/8-1/8=8/8
100/8-1/8=99/8
divide 99/8:
12.375
round down:
12
Answer:
Solve for
w
by simplifying both sides of the equation, then isolating the variable.
Exact Form:
w
=
49
2
Decimal Form:
w
=
24.5
Mixed Number Form:
w
=
24
Answer:
28%
Step-by-step explanation:
On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and Elena had 45% of the votes. You can take the number of total votes on Thursday equal to 100, then Anna had 20 votes, Ivan had 35 votes and Elena had 45 votes.
Let x be the number of votes added on Friday. All of them favored Elena, then Elena in total had 45+x votes and the number of all votes became 100+x. In the end Anna had 16%, then
100+x - 100%,
20 - 16%.
Write a proportion:

Find the percent of the voters that chose Ivan:
125 - 100%,
35 - y%.
Write a proportion:
Umm, I think it is the first one.
Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean

The standard deviation of the sampling distribution is given by:

b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.