Answer:
x^2 + (x + 2)^2 = 202
x^2 + x^2 + 4x + 4 = 202
2x^2 + 4x + 4 = 202
2x^2 + 4x - 198 = 0
x^2 + 2x - 99 = 0
x = -2/2 ± √((2/2)^2 - (-99))
x = 9 or x = -11
-11 is not a positive number so the number is 9.
<u>Answer: </u>
Option(D) -each roll of the die has two equally likely outcomes
<u>Explanation: </u>
In probability theory, the binomial statistical distribution refers to a distinct distribution of no. of desired effects in sequential autonomous experiments, where each experiment ask a question for ‘yes’/’no’, and each with its own probable boolean-assessed outcome.
A binomial experiment must satisfy the following 4 conditions: (a) Number of trials should be fixed; (b) Every trial should be independent of another; (c) Only two outcomes are there; (d) the chance of each result from trial to trail remains
Answer:
I think it's -11/6
Step-by-step explanation:
just guessingggg
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
Where, l is length, b is breadth and h is height of the cuboid.
Putting in the above formula, we get
Using distributive property, we get
Divide both sides by 33.
Therefore, the correct option is B.
First we must convert these mixed numbers to improper fractions:
So then we need the product of these two numbers. That means to multiply:
But then we need the value of half of this product. So then let's multiply by one-half:
Then we can convert this from an improper fraction to a mixed number:
And so this number is half of the product of the initial two numbers.