Answer:

Step-by-step explanation:
The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.
Notice that it is just
. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:






Therefore as we suspected, the answer is C.
Mid point of the points PQ is (₋0.3 , 3.25)
Given points are:
P(₋2 , 2.5)
Q(1.4 , 4)
midpoint of PQ = ?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.
The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.
Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)
we have two points:
P(₋2,2.5) = (x₁,y₁)
Q(1.4,4) = (x₂,y₂)
Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)
= (₋0.6/2 , 6.5/2)
= (₋0.3 , 3.25)
Hence we determined the midpoint of PQ as (₋0.3 , 3.25)
Learn more about coordinate geometry here:
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His dog will drink 112oz a week
It is 14 cups
It is 5.81 pints
It is 3.5 quarts
Answer:
(i). 0.03981
(ii).0.0048
Step-by-step explanation:
The probability density function of Poisson distribution is:
Consider <em>X</em> is a number of typos error on a single page of a book and <em>X</em> follows the Poisson distribution with 
(i) Exactly two typos:

(ii) Two or more typos:
![\begin{aligned}P(X\geq2,\frac{1}{3})&=1-[P(X=0)+P(X=1)+P(X+2)]\\&=1-[0.7165+0.2388+0.03981]\\&=1-0.9952\\&=0.0048\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7DP%28X%5Cgeq2%2C%5Cfrac%7B1%7D%7B3%7D%29%26%3D1-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%2B2%29%5D%5C%5C%26%3D1-%5B0.7165%2B0.2388%2B0.03981%5D%5C%5C%26%3D1-0.9952%5C%5C%26%3D0.0048%5Cend%7Baligned%7D)