Triangle FGH with vertices F(1,8), G(5,7), and H(2,3) in the line y=x.

Answer:

Option C: 0.28

Detailed explanation:

This situation presents a binomial probability distribution.

We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Referring to the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Consequently;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

To find the number of tails, subtract 225 from 500, yielding 275. So, we establish a ratio of 225 to 500, which needs to be simplified. Dividing both by 25 gives us 9 and 20 respectively. Therefore, the simplified ratio is 9:20.

Answer:

Step-by-step explanation:

The image provided presents the complete problem statement while the word document contains the solution.

It's A. I just finished the quiz.

762,508 expressed in expanded form with exponents is:

Solution:

We need to write 762,508 using expanded notation with exponents.

Expanded form indicates how to represent numbers to highlight the individual digit values.

Displaying 762508 in Expanded format

Let's determine the positional values of each digit:

The concept of place value signifies the worth assigned to each digit based on its location.

For 7, the place value is 700,000

In 762508, the digit 7 is located in the hundred-thousands position.

For 6, the place value is 60,000

In 762508, the digit 6 occupies the ten-thousands position.

For 2, the place value is 2,000

In 762508, 2 is in the thousands position.

For 5, the place value is 500

In 762508, 5 is placed in the hundreds position.

For 0, the place value is 0 x 10 = 0

In 762508, 0 is found in the tens position.

For 8, the place value is 8

In 762508, 8 is positioned in the units place.

Thus, the expanded form is:

700,000 + 60,000 + 2,000 + 500 + 0 + 8

Expressed with exponents, it can be written as: