Answer:
The product of 8x(5x−6) is 40x^2−48x
The product of (x−3)(5x−6) is 5x^2−21x+18
Step-by-step explanation:
<u><em>Verify each option</em></u>
Part 1) The product of 8x(5x−6) is 40x^2−48x
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 2) The product of −4x(2x2+1) is −8x^3−5x
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true
Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true
Considering that the subjects are chosen without replacement, they are not independent, and the probability cannot be found using the binomial distribution.
The binomial distribution and the hypergeometric distribution are quite similar, as:
- They find the probability of exactly x successes on n repeated trials.
- For each trial, there are only two possible outcomes.
- The difference is that the binomial distribution is for independent trials, that is, in each trial, the probability of success is the same, while the hypergeometric distribution is for dependent trials.
- If the sample is without replacement, the trials are not independent, thus the hypergeometric distribution is used, not the binomial.
A similar problem is given at brainly.com/question/21772486
Answer:

Step-by-step explanation:
GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is
, and the total height of the building up to the top of the dome is
.
TO FIND: what is the approximate total volume of the building.
SOLUTION:
let the height of the mountaintop be 
As the dome hemispherical.
circumference of a hemisphere 



total height of the building up to the top of the dome 


Volume of building 

as radius of mountain top is same as dome
putting values


Hence the total volume of the building is
Answer:
3
Step-by-step explanation:
I think its 3 because when we add 2 to x the graphic must be continue two step to right
Answer:
Wayne bought 72 blueberries.
Step-by-step explanation:
To combine the fractions, convert all of the fractions to a denominator of 24.
3/8 * 3/3 = 9/24
1/6 * 4/4 = 4/24
5/12 * 2/2 = 10/24
Now add together the fractions
9/24 + 4/24 + 10/24 = 23/24
He used 23/24 of his blueberries, or 69 of them.
To find the total amount of blueberries, divide 69 by 23, then multiply that number b 24.
69 / 23 = 3
3 * 24 = 72
Wayne bought 72 blueberries.