1/5, 0.4, 1/2, 0.75
Just convert all of them to decimals first then it should be easy or you .
Answer:
f(-5)=240
g(-7)=-33
Step-by-step explanation:
1) f(x)=3x^2 - 3x
f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240
2) g(x)=5x + 2
g(-7)= 5×(-7) + 2= -35+2=-33
Try them and see.
For the first:
3(-3) + 0 = -9 . . . . not > -8
3(-2) + (-1) = -7 . . . is > -8 . . . . . 2) (-2, -1) is a solution
For the second:
4 - 4(-2) = 12 . . . . not ≤ -6
-2 -4(1) = -6 . . . . . is ≤ -6 . . . . . . 2. (1, -2) is a solution
Answer: Jon can purchase 9 songs.
Step-by-step explanation: $21.61 - $10.00 = $11.61
$1.29 · 9 = $11.61
Answer:
The value of P-value is 0.0472.
Step-by-step explanation:
We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.
Let
= <u><em>true average price of apartments in town A</em></u>
= <u><em>true average price of apartments in town B</em></u>
So, Null Hypothesis,
:
Alternate Hypothesis,
:
The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;
The test statistics given to us is 2.1
Now, the P-value of the test statistics is given by the following formula;
P-value = P(
> 2.1)
= P(
> 2.1) = 0.0236
In two-tailed test, P-value is calculated as = 2
0.0236 = <u>0.0472</u>
Hence, the value of the p-value is 0.0472.