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Nina [5.8K]
3 years ago
7

Jack popped some popcorn, but 3 of the 150 kernels did not pop

Mathematics
1 answer:
frutty [35]3 years ago
5 0
That sucks for jack. But uhm what is your question. Also Jack can just put the popcorn in for a longer amount of time
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Bruce drew a scale drawing of a house and its lot. The house's driveway, which is 17 feet
serg [7]

Answer:

1/6

Step-by-step explanation:

Convert 17 feet to inches. 17×12 = 204

204 inches to 34 inches.

204/34 = 6

Remember we are scaling down

204× 1/6 = 34

3 0
3 years ago
What is the simplest radical form of 2
svlad2 [7]
Answer to the problem is 24 but <span>SIMPLIFYING </span>RADICALS<span>. WE SAY THAT A SQUARE ROOT </span>RADICAL<span> is simplified, or in its </span>simplest form<span>, when the radicand has no square factors. A </span>radical<span> is also in </span>simplest form<span> when the radicand is not a fraction. Example 1.</span>
8 0
3 years ago
A speech pathologist had a gross income of 62,650 last year. if 18.9% of her income got withheld for federal income tax how much
Nadya [2.5K]
<span>$62,650*18.9%= $11,840.85</span>
4 0
3 years ago
You have two parents, four grandparents, eight greatgrandparents, and so forth.
Leviafan [203]
A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or 2^{2} ancestors.
In the third generation we have 8 ancestors ot 2^{3} ancestors.

We can see that each succesive generation has two times more members. The sum is:
2+4+8+16+...+ 2^{40}

To calculate number of ancestors we can use formula <span>for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
</span>S= a_{1} * \frac{1- r^{n} }{1-r}
<span>Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
</span>S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550
<span>
b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = </span>10^{10}
Number of ancestors in 40 generations = 2.2*10^{12}

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.
8 0
3 years ago
3. A bag has five blue marbles, seven red marbles and nine green marbles. Three marbles are drawn
Arte-miy333 [17]

Answer:

The probability is 9/266

Step-by-step explanation:

The first thing to do here is get the total number of marbles = 5 + 7 + 9 = 21 marbles

Now we are drawing the marbles without replacement, this means once a marble is drawn there is a decrease in the total number of marbles left.

The probability of drawing a green marble initially = number of green marbles/ total

number of marbles = 9/21 = 3/7

Now, we want to draw a blue marble

There are 5 blue marbles and we have already drawn one marble from the total. So the probability of drawing a blue marble would be 5/20 = 1/4

And lastly, another green marble

That would make 6 green marbles left and a total of just 19 left. So the probability at this point for green marbles = 6/19

Having and in probability means we multiply all

So this means the probability we are calculating is; 3/7 * 1/4 * 6/19 = 18/(28 * 19) = 9/(14 * 19) = 9/266

7 0
3 years ago
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