Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is 
the alternative hypothesis is 
The test statistics is 
The p-value is 
so
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n= 38
The sample mean is 
The standard deviation is 
Generally the null hypothesis is
the alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting values
The p-value is mathematically represented as
From the z- table
So
Answer:
14
r
3
−
40
r
2
+
12
r
+
24
=4
Step-by-step explanation:
I think your answer would be d. The number one rule of absolute value is no negatives, and the opposite of -179 is 179.
To solve this we are going to use the formula for the volume of a sphere:
where
is the radius of the sphere
Remember that the radius of a sphere is half its diameter; since the first radius of our sphere is 24 cm,
. Lets replace that in our formula:
Now, the second diameter of our sphere is 36, so its radius will be:
. Lets replace that value in our formula one more time:
To find the volume of the additional helium, we are going to subtract the volumes:
Volume of helium=
We can conclude that the volume of additional helium in the balloon is
approximately <span>
17,194 cm³.</span>
