Answer:
5x + 32 < 50
Step-by-step explanation:
On a particular airline, bags checked in must weigh less than 50 pounds. Betty packed 32 pounds of clothes and five gifts that weigh the same amount.
If each gift weighs w pounds, then the weight of five gifts will be 5w pounds and an additional 32 pounds of clothes will make it total (32 + 5w) pounds.
Now, this total weight has to be less than 50 pounds.
Therefore, the inequality equation that can be used to find the possible weight of each gift, w is
5x + 32 < 50 (Answer)
Answer:
a) 
And replacing we got:

b) ![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
We have the following distribution function:
Y 0 1 2 3
P(Y) 0.45 0.2 0.3 0.05
And we can calculate the expected value with the following formula:

And replacing we got:

Part b
For this case the new expected value would be given by:

And replacing we got
![E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148](https://tex.z-dn.net/?f=%20E%2880Y%5E2%29%20%3D80%5B%200%5E2%2A0.45%20%2B1%5E2%2A0.2%20%2B2%5E2%2A0.3%20%2B3%5E2%2A0.05%5D%3D%20148)
Answer:
Boxes at the top are as follows
Monomial. 1. 4x
Binomial. 2. 4x+2
Trinomial. 3.
Polynomial. More than 3.

This would be an example of a polynomial ^
Omit the next highest term to get a trinomial etc
1. 4th degree. Leading term:

Leading coefficient: x
2. 2nd degree. Leading term:

Leading coefficient: -7x
It's a little confusing to read but that should be everything. Sorry it's not organized better
Answer: 2858.11 meters
Step-by-step explanation:
to answer this question we have to analyze the information given:
Total energy =52,700 joules
Energy per second = 756 joules
Time = joules / (joules / sec) =52,700/756 =69.71 sec
Now, to find the distance:
Distance = speed rate x time
d = 41 meters/second x 69.71 sec = 2858.11 meters
Feel free to ask for more if needed or if you did not understand something.
Answer:
x = 3, y = 19
Step-by-step explanation:
x = 3, y = 4x + 7
Substitute x =3 into the second equation
y =4*3+7
y = 12 +7
y = 19
x = 3, y = 19