The minute hand takes 5 minutes to make 1/6 of half a rotation.
To determine the number of minutes it takes for a hand to make 1/6 of half a rotation, we first need to understand how many degrees are in a complete rotation. A complete rotation is 360 degrees. Half of this is 180 degrees. Therefore, to find 1/6 of half a rotation, we divide 180 by 6, which gives us 30 degrees.
Now we know that the hand moves 30 degrees. In one revolution (or 360 degrees), the minute hand takes 60 minutes. Therefore, to find the number of minutes it takes to move 30 degrees, we set up a proportion:
360 degrees / 60 minutes = 30 degrees / x minutes
Cross-multiplying, we get:
360x = 30 * 60
360x = 1800
x = 1800 / 360
x = 5
So, it takes 5 minutes for the hand to make 1/6 of half a rotation.
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Answer:
The answer is given below
Step-by-step explanation:
a) What is the probability that a randomly selected pregnancy lasts less than 242 days
First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:
Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,
From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783
(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
If a sample of 17 pregnancies is obtained, the new mean the new standard deviation:
c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less
From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985
d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?
From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?
It would be unusual if it came from mean of 247 days
f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean
For x = 236 days
For x = 258 days
From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939
B.f(x) = 4(x)3
C.f(x) = 6(3)x
D.f(x) = 6(x)3
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts
Answer:
6
Step-by-step explanation:
1/4= 6 men
1/2=12 men
therefore 24-12-6=6 men