Which expressions are equivalent to –
1 answer:
Answer:
The answer to your question is 10¹/⁴
Step-by-step explanation:
Expression
To solve this problem use the law of exponents.
-Use the division rule of exponents.
If the base if the same in the numerator and denominator, it stays the same and the exponents are subtracted.
10¹ ⁻ ³/⁴ = 10¹/⁴ This is the result
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Answer:
a) 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Step-by-step explanation:
Given that:
Mean (μ) = 23500 kilometers per year
Standard deviation (σ) = 3900 kilometers
Confidence level (c) = 99% = 0.99
number of samples (n) = 100
a) α = 1 - c = 1 - 0.99 = 0.01
Using normal distribution table, is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.
The margin of error (e) is given as:
The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)
Confidence interval = 22497.7 < μ< 24502.3
b) With 99% confidence the possible error will not exceed 1002.3
Answer:
Step-by-step explanation:
Given
The dog has a 25 ft leash
Arc length is 74.3 ft
Arc length is given by
here, r=25 ft
l=74.3 ft
Put the values
The measure of the angle is