The answer would be 10 to the third because if you divide that it would equal 1,000
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Answer:
10 books approx
Step-by-step explanation:
Step one:
Given data
Hight of cupboard= 1.21m
Thickness of book= 12.5cm
thickness in meters= 12.5/100= 0.125m
Required
The number of books need to fill the Cupboard
Step two:
the number of books can be computed as
= 1.21/0.125
=9.68 book
=10 books approx
Answer:
x = 4/5
Step-by-step explanation:
Group like terms together. Start by subtracting 1 from both sides, obtaining
5x = -4 + 10x.
Then combine the x terms, obtaining 4 = 5x.
Solving for x by dividing both sides by 5, we get x = 4/5.
Answer: $5,678.85
Step-by-step explanation:
First find out how much the fund was worth after 5 years.
Compound interest formula:
= Investment * (1 + rate) ^ years
= 4,000 * ( 1 + 11%)⁵
= £6,740.23
Half was removed:
= 6,740.23/2
= £3,370.12
Then compound this for the remaining 5 years:
= 3,370.12 * (1 + 11%)⁵
= $5,678.85
