Answer:
Q-22 (a) area of each face (square) = sxs
= 10 x 10
= 100 inches²
Total surface area = 6a²
= 6 x 10 x 10
= 600 inches²
Answer:
2/5
Step-by-step explanation:
To find the slope of a line segment, find the difference in y and divide by the difference in x (delta y / delta x)
Delta y: -7 - (-13) = 6
Delta x: 15 - 0 = 15
Slope = delta y / delta x
Slope = 6/15 = 2/5
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Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
Step-by-step explanation:
a. First, find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 12.5
z = 0.48
Use a calculator or table to find the probability.
P(z < 0.48) = 0.6844
b. Find the standard deviation of the sample.
σₓ = σ / √n
σₓ = 12.5 / √4
σₓ = 6.25
Find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 6.25
z = 0.96
Use a calculator or table to find the probability.
P(z < 0.96) = 0.8315
c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.
Answer:
perimeter of a regular hexagon=6×side length
side length in question is 'k'
perimeter=6×k=6k
