k-4=1/256
Answer: The probability is P = 0.20
Step-by-step explanation:
The data that we have is:
Total books = 400
If the number of non fiction books is Nf and the number of fiction books is F, we have that:
F = Nf + 40
So here we have a system of equations:
Nf + F = 400
F = Nf + 40
we can replace the second equation in the first one, and solve it for Nf.
Nf + (Nf + 40) = 400
2*Nf + 40 = 400
2*Nf = 400 - 40 = 360
Nf = 180
So we have 180 non-fiction books.
We want to calculate the probability of picking at random two non-fiction books.
When Audrey picks one, the probabilty is equal to the number of non-fiction books divided the total number of books:
p1 = 180/400
for Ryan we have the same, but the number of books is 399 now (Because Audrey already took one), and the number of non-fiction books is 179.
p2 = 179/399
The probabiliy for both events to happen is:
P = p1*p2 = (180/400)*(179*399) = 0.20
Answer:
27
Step-by-step explanation:
3/5of 45 is basically what you are looking for and it in itself is the equation you have to solve
3/5 is 3 divided by and "of" is basically multiply by 45
3/5*45
.6*45
27
a = 4i + 3j, b = -4i + 4j
The required dotproduct of the given vector is given as -4.
Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.
The dot × of twovectors is described as the sum of the products of the relevant directionalvector.
Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4 (since i.j or j.i for dot product gives zero.)
Thus, the required dotproduct of the given vector is given as -4.
Learn more about dot product here:
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writing the check?
Answer:
she will have one fee for standard overdraft practices and that will prevent a fee from the grocery. store
Step-by-step explanation:
We are told she wrote a check to the grocery store for $156.00.
And that when she looked at her check register later that day, she had only $122.66.
This means she doesn't have sufficient balance for the grocery.
It means the bank will pay the overdraft and it attracts charges which may vary for different banks.
Thus, she will have one fee for standard overdraft practices and that will prevent a fee from the grocery store
B. 1
C. 2.5
D. 0.5
Answer:
Step-by-step explanation:
If , find the value of f(-1)
we are given with function
To find f(-1) we plug in -1 for x in f(x)