Answer:

Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:

If both numerator and denominator are decreased by six, the fraction becomes:

The simplified result is 
Therefore:

Substituting x=40 into the initial fraction

Therefore, the original fraction is 
Answer: true
Step-by-step explanation:
Z-tests are statistical calculations that can be used to compare the population mean to a sample mean The z-score is used to tellsbhow far in standard deviations a data point is from the mean of the data set. z-test compares a sample to a defined population and is typically used for dealing with problems relating to large samples (n > 30). Z-tests can also be used to test a hypothesis. Z-test is most useful when the standard deviation is known.
Like z-tests, t-tests are used to test a hypothesis, but a t-test asks whether a difference between the means of two groups is not likely to have occurred because of random chance. Usually, t-tests are used when dealing with problems with a small sample size (n < 30).
Both tests (z-tests and t-tests) are used in data with normal distribution (a sample data or population data that is evenly distributed around the mean).
Answer:
2.5 hours
Step-by-step explanation:
Given that :
Temperature in Neil's city :
72.6° and rising by 1.3° per hour
Temperature in Sheppard's city :
80.4° and dropping by 1.82° per hour
In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city
Let number of hours = h
Hence, Neil city :
72.6 + 1.3h
Sheppard city:
80.4 - 1.82h
72.6 + 1.3h ≥ 80.4 - 1.82h
1.3h + 1.82h ≥ 80.4 - 72.6
3.12h ≥ 7.8
h ≥ 2.5
Two and half hours (2 hours 30 minutes)
Answer:
The square root of 4096 is 64. The cube root of 4096 is 16. The fourth root of 4096 is 8 and the fifth root is 5.2780316430916.
Step-by-step explanation: