Answer:
Step-by-step explanation:
Information given
represent the sample mean of amount of liquid
represent the standard deviation
sample size
represent the value that we want to check
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We want to verify if the true mean for the amount of liquid is lower than 12 ounces, and the hypothesis are given by:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing we got:
Answer:
4
-20
-12
Step-by-step explanation:
g(4)
= 4(4)-12
= 16-12
= 4
g(-2)
=4(-2)-12
=-8-12
=-20
g(0)
=4(0)-12
=0-12
=-12
<span>-10
-(100) ^1/2
</span><span>100 ^1/2 </span>
Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
Solution:
1) m is atleast 25
"at least" means greater then or equal to
Therefore,
2) p is less than 48
3) h is atmost 56
"at most" means less than or equal to
4) k is no greater than 9
Which means k is less than or equal to 9
5) w is no less than 0
Which means, w is greater than or equal to 0
