Options:
A. Null hypothesis : u>30 Alternative hypothesis :u<30
B. Null hypothesis :u>30 Alternative hypothesis :u=30
C. Null hypothesis :u=30 Alternative hypothesis :u≠30
D. Null hypothesis:u=30 Alternative hypothesis :u>30
Answer:
D. Null hypothesis:u=30 Alternative hypothesis:u>30
Explanation:
The null and alternative hypotheses are hypotheses test made to decide on the value of a population parameter using sample data. They are statements that are mutually exclusive(only one can be true). Therefore the null hypothesis which is the hypothesis being tested becomes true if the alternative hypothesis(everything else that is not the null hypothesis) is false. The null hypothesis assumes that the researcher is wrong as in the above statements while the alternative hypothesis states that the researcher is right.
Answer:
-10.7
Step-by-step explanation:
tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer
Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
- y represents the final amount
- a represents the original amount
- b represents the decay factor
- x represents the amount that has passed
Now, map our problem using the same concept formula
as
3000 students were enrolled, so
as High School has been experiencing an annual decline of 2.2% in enrollment, so
so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
Answer:
(a)f(x)=0.8869x
(b)g(x)=143.1126x
(c)g(f(x))=126.9266x
(d)g(f(1000))=126926.6 Yen
Step-by-step explanation:
Given on a particular day
- One U.S. dollar could purchase 0.8869 Euros
- One Euro could purchase 143.1126 yen
(a)If x represents the number of Dollars
Since one can purchase 0.8869 Euro with 1 USD, the function f(x) is a direct relationship where x is dollars and f(x) is in Euros.
(b)If x represents the number of Euros
Since one can purchase 143.1126 yen with 1 Euros, the function g(x) is a direct relationship where x is Euros and g(x) is in Yen.
(c)Given:
g(f(x))=143.1126(0.8869x)
(d)g(f(1000))
- g(f(1000))=126.9266 X 1000 =126926.6 Yen
