Answer:
A = 12.56 m²
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Geometry</u>
- Area of a Circle: A = πr²
- d = 2r
Step-by-step explanation:
<u>Step 1: Define</u>
d = 4 m
<u>Step 2: Find </u><em><u>r</u></em>
- Substitute: 4 = 2r
- Isolate <em>r</em>: 2 = r
- Rewrite: r = 2 m
<u>Step 3: Find Area</u>
- Substitute: A = π(2)²
- Substitute: A = (3.14)(2)²
- Evaluate: A = (3.14)(4)
- Multiply: A = 12.56 m²
Let's formulate an equation first. For exponential growth, we follow the formula. b = 800, r - 0.027. Hence,
y = 800(1+0.027)^t
Then, at t = 21, y will be determined
y = 800 (1+0.027)^21
y = 1399.81 = 1400
Thus, the amount of bacteria present after 21 hours is 1400.
Answer:
8 1/3 inches
Step-by-step explanation:
Length of the ribbon = 2 1/12 inches
Blue ribbon is 4 time as many inches as long as red
Length of the blue ribbon = 4 * 2 1/12
Length of the blue ribbon = 4 * 25/12
Length of the blue ribbon = 100/12
Length of the blue ribbon= 25/3
Length of the blue ribbon = 8 1/3 inches
Hence the blue ribbon is 8 1/3 inches long
i believe it is 1/3. but check other sources as well.
The <em>expected number of mortgages</em> approved per week and the standard deviation of the distribution are 2.019 and 0.024 respectively.
<u>The expected number of mortgages approved per week</u> :
- <em>Mean = (Σfx ÷ Σf)</em>
Expected Number approved = 210 ÷ 104 = 2.019
Hence, it is expected that 2.019 mortageahes would be approved per week.
<u>The standard deviation</u> :
- <em>Variance = [Σ(Xi - x)² ÷ Σf] </em>
- <em>Standard deviation = √Variance</em>
Variance = (59.5414 ÷ 104) = 0.0005698
Standard deviation = √0.0005698
Standard deviation = 0.024
Therefore, the expected value and standard deviation are 2.019 and 0.024 respectively.
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