Details provided:
Confidence level = 90%
Mean = 71 beats per minute
Standard deviation = 6 beats per minute
The formula for margin of error is z * δ / √n.
Where δ represents the population standard deviation and n is the sample size; z denotes the corresponding z-value.
For a 90% confidence level, the z-value is 1.645.
Thus, the margin of error is calculated as 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 * 0.671 = 1.104.
Response:
B. 255 m
Detailed breakdown:
utilize similar triangles
L / 60 = 85 / 20
L = (85 * 60) / 20
L = 255 m
I divided by 100 and shifted the decimal point two places left.
Answer:
Step-by-step explanation:
The world population currently is rising at a yearly rate of 1.35 percent. The nature of the growth is exponential. We will use the exponential growth formula, expressed as
A = P(1 + r)^t
Where:
A indicates the population after t years.
t symbolizes the number of years.
P is the initial population count.
r signifies the growth rate.
<pFrom the given data,
P = 6.1 × 10^9
r = 1.35% = 1.35/100 = 0.0135
t = 1
Hence,
A = 6.1 × 10^9(1 + 0.0135)^1
A = 6.1 × 10^9(1.0135)^1
A = 6182350000
The total number of people added would be
6182350000 - 6100000000
= 82350000
Answer:
160/1001, 175/1001
Step-by-step explanation:
i) We calculate:
₈C₁ methods to select 1 new camera from a selection of 8
₆C₃ methods to select 3 refurbished cameras from a selection of 8
₁₄C₄ methods to select 4 cameras from the total of 14 cameras
The probability formula is:
P = ₈C₁ ₆C₃ / ₁₄C₄
P = 8×20 / 1001
P = 160 / 1001
P ≈ 0.160
ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:
P = ₆C₄ / ₁₄C₄
P = 15 / 1001
Therefore, the combined probability is:
P = 160/1001 + 15/1001
P = 175/1001
P ≈ 0.175
