Answer:
d = -20
Step-by-step explanation:
Simply subtract the 1st 2 numbers together:
d = 5 - (-15) = -20
Subtract b from each side to get
y
−
b
=
m
x
. Next, divide each side by
x
to get
y
−
b
x
=
m
.
Answer:
6700.6 BTU
Step-by-step explanation:
First you have to warm the block from -15° F to 32°F, the heat to needed to do this is:
![Q_{1}=mc\Delta T=20lb*0.49\frac{BTU}{lbF} *(32F-(-15F))=460.6BTU](https://tex.z-dn.net/?f=Q_%7B1%7D%3Dmc%5CDelta%20T%3D20lb%2A0.49%5Cfrac%7BBTU%7D%7BlbF%7D%20%2A%2832F-%28-15F%29%29%3D460.6BTU)
After you need to melt the ice. The heat you need is:
![Q_{2}=mL=20lb*144\frac{BTU}{lb}=2880BTU](https://tex.z-dn.net/?f=Q_%7B2%7D%3DmL%3D20lb%2A144%5Cfrac%7BBTU%7D%7Blb%7D%3D2880BTU)
Finally, you need to heat the water from 32° F to 200 ° F, and the heat for this is:
![Q_{3}=mc\Delta T=20lb*1\frac{BTU}{lbF} *(200F-32F)=3360BTU](https://tex.z-dn.net/?f=Q_%7B3%7D%3Dmc%5CDelta%20T%3D20lb%2A1%5Cfrac%7BBTU%7D%7BlbF%7D%20%2A%28200F-32F%29%3D3360BTU)
To have the total heat you used you have to su
and
Answer:
The average number of miles is 68.
Step-by-step explanation:
All you need to do with this one is divide the number of miles ridden by the amount of days that it took them. 2,448/36 = 68
Answer:
The probability of getting x correct answers is given by
and P(X < 4) = 0.1061
Step-by-step explanation:
We have
trials, each with probability of success given by
. Let X be the random variable that represents the number of correct answers gotten by random guesses, then, X has a binomial distribution, and so,
, and
, this is the probability that the number x of correct answers is fewer than 4.