Each dress would be $30 because, if you do 160-40 = 120 then 120 divided by 4 = 30. So that’s the answer 30
9514 1404 393
Answer:
see attached
Step-by-step explanation:
It is helpful to understand that the product of the binomial factors is ...
(ax +b)(cx +d) = ac·x² +(ad+bc)x +bd
For these problems you only need to look at the constant and the leading coefficient to find the missing values.
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1. d = 8/-4 = -2
2. b = -24/(3·2·d) = -4; c = 3/(3·a) = 1
3. a = 2/c = 1; d = -24/b = 6
Answer:
256
Step-by-step explanation:
since the the path surounds both sides of the garden you have to add 2 x instead of just x
let me show you what i mean. 10=garden width and 3=path width=x
since it is a square, we can calculate the area by taking one side and squaring it so you get (10+2x)^2 which is 16^2 since x is 3, the width of the garden
to do simaler problems just use thei formula (garden length+2path length)^2 or (garden length+2path length)times(garden length+2path length)
Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
3) Add them:
![\Sigma [f(x-E(X))^{2}]](https://tex.z-dn.net/?f=%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D)
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)
V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
