2x - 10 = 30
2x = 40
x = 20
Answer:
X= -7/6, 17/8
Step-by-step explanation:
Foil it, then use quadratic to find zeros/roots.
Answer:
A. 5x^2 − 2x − 24 = 0
Step-by-step explanation:
height = 5b-2
b =x
We can rewrite the height as
h = 5x-2
We know the formula for area of a triangle
A = 1/2 bh
A =1/2 x * (5x-2)
Distributing the x
A= 1/2 (5x^2 - 2x)
We know A =12
12 = 1/2 (5x^2 - 2x)
Multiply each side by 2
12*2 = 2*1/2 (5x^2 - 2x)
24 = 5x^2 - 2x
Subtract 24 from each side
24-24 = 5x^2 - 2x-24
0 = 5x^2 - 2x-24
Answer: 0.99822
Step-by-step explanation:
Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.
So converting 14 into minutes will give
=0.233
Let X=inter-arrival time between two customers
and here
= 0.233
Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)
Now the Poisson distribution has PDF =
So P(X = 0) =
= 0.79215
P(X= 1) =
= 0.18457
P(X=2) =
= 0.02150
Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822
I believe there are 20 quarters and 3 nickels.....
Total value of the jar is $5.15.....
Quarters are worth 25 cents
And nickels are worth 5 cents.
First you know that there are 4 quarters in a dollar.
You have 5 dollars so you do 4 x 5 = 20
So five dollars ($5.00) is 20 quarters.
And you still have 15 cents left.
Because quarters are 25 cents the rest are nickels.
Nickels are worth 5 cents so you'd do 5 x 3 = 15.
15 cents!
Add all this together and get $5.15.
So your answer is
There are 20 quarters and 3 nickels in the jar.