Answer:
2. 16
3. 46
4. 59
Step-by-step explanation:
5.The measure of smaller angle is 87 degrees.
Step-by-step explanation:
Consider the provided information.
The provided angles are 3x degree and 2x + 25 degree.
Two angles are said to be Supplementary angles if their sum is 180 degree.
It is given that the provided angle are supplementary angles, thus
3x + 2x + 25 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
Now, substitute the value of x in first angle i.e 3x.
3(31) = 93
Substitute the value of x in the second angle i.e 2x + 25
2(31) + 25 = 62 + 25 = 87
Hence, the measure of smaller angle is 87 degrees.
The median would stay the same
Formula: pi* r^2* h/3
Cone A= 12.57
Cone B= 50.27
About 99.7% of vehicles whose speeds are between 59 miles per hour and 77 miles per hour.
Empirical rule states that for a normal distribution, 68% lie within one standard deviations, 95% lie within two standard deviations, and 99.7% lie within three standard deviations of the mean.
Given that mean (μ) = 68 miles per hour, standard deviation (σ) = 3 miles per hour.
68% lie within one standard deviation = (μ ± σ) = (68 ± 3) = (65, 71).
Hence 68% of the vehicle speed is between 65 miles per hour and 71 miles per hour.
95% lie within two standard deviation = (μ ± 2σ) = (68 ± 2*3) = (62, 74).
Hence 95% of the vehicle speed is between 62 miles per hour and 74 miles per hour.
99.7% lie within three standard deviation = (μ ± 3σ) = (68 ± 3*3) = (59, 77).
Hence 99.7% of the vehicle speed is between 59 miles per hour and 77 miles per hour.
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<h3 /><h3>V. Cylinder = π . r² . h</h3>
12,704.44 = 3.14 × r² × 14
12,704.44 = 3.14 × 14 × r²
12,704.44 = 43.96 × r²
r² = 12,704.44/43.96
r² = 289
r = √289
r = 17
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