Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si

Answer: The car age's standard deviation is 2.17 years. Step-by-step explanation: The Empirical Rule indicates that for a normally distributed random variable: 68% of values fall within one standard deviation of the mean, 95% within two, and 99.7% within three. In this context, given a mean of 7.5 years, with 99.7% of car ages ranging from 1 to 14 years implies that 1 year is three standard deviations below the mean while 14 years is three above. Thus, the calculation for standard deviation yields 2.17 years.

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

To determine the future value of an initial amount of $845 at an interest rate of 11.3% over 7 years, we will utilize the compound interest formula, which is expressed as:
A=p(1+r/100)^n
where:
A=future value
r=rate=11.3%=0.113
time=7 years
Hence, the future value of the capital will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82 

Response:

Step-by-step explanation:

Shift the decimal points in both the divisor and the dividend.

Transform the divisor (the number you're dividing by) into a whole number by moving its decimal to the furthest right. Simultaneously, adjust the dividend's decimal (the number being divided) the same number of places to the right.

In the quotient (the result), place a decimal point directly over where the decimal point is now located in the dividend.

Proceed with the division as normal, ensuring proper alignment so the decimal point appears correctly.

Align each digit in the quotient directly over the last digit of the dividend utilized in that step.