Answer:
31.98
Step-by-step explanation:
78 * .41 = 31.98
Answer:
Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]
Step-by-step explanation:
We are given that a function

Interval [1,5]
The given function is defined on this interval.
Hypothesis of Mean Value Theorem:
(1) Function is continuous on interval [a,b]
(2)Function is defined on interval (a,b)
From the graph we can see that
The function is continuous on [1,5] and differentiable at(1,5).
Hence, the function satisfies the hypothesis of the Mean Value Theorem.
Answer:
The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Step-by-step explanation:
Normal variables
Normal variables have mean
and standard deviation 
When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.
In this question:
Verbal:
.
Math: 
Combined:


The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.
Answer:
option B
Step-by-step explanation:

F(x)= 5 x-7

Answer:
The heat is produced by a 150-W light bulb that is on for 20-hours is 10200 BTU.
Step-by-step explanation:
To find : How much heat (Btu) is produced by a 150-W light bulb that is on for 20-hours?
Solution :
A 150-W light bulb is on for 20-hours.
The heat produced by bulb is given by,


We know that,

Converting W-hr into BTU,


Therefore, The heat is produced by a 150-W light bulb that is on for 20-hours is 10200 BTU.