How many minutes does the hand make 1/6 of half a rotation

Answers

Answer 1
Answer: The answer I believe is 5 minutes
Answer 2
Answer:

Final answer:

The minute hand takes 5 minutes to make 1/6 of half a rotation.

Explanation:

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.

Learn more about Rotation of Hands on a Clock here:

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 247 days and standard deviation sigma equals 16 days. Complete parts​ (a) through​ (f) below.

Answers

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:

z=(x-\mu)/(\sigma)

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

z=(x-\mu)/(\sigma)=(242-247)/(16)=-0.31

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 \mu_x=\mu=247, the new standard deviation: \sigma_x=\sigma/√(n) =16/√(17) =3.88

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(17) )=-1.29

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?

z=(x-\mu)/(\sigma/√(n) )=(242-247)/(16/√(49) )=-2.19

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

z=(x-\mu)/(\sigma/√(n) )=(236-247)/(16/√(20) )=-3.07

For x = 258 days

z=(x-\mu)/(\sigma/√(n) )=(258-247)/(16/√(20) )=3.07

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

The sum of two numbers is 30 & their difference is 12.

Answers

x+y=30
x-y=12
add them together

x+y=30
x-y=12+
2x+0y=42

2x=42
divide 2
x=21

subsitute
x+y=30
21+y=30
subtrat 21
y=9


number sare 21 and 9
The answer is 21 and 9. You can use guess and check to solve this. If you add 21 and 9, the sum is 30, and if you subtract 9 from 21, the difference is 12. 

Mandy,Jeremy, and Lily went to am amusement park during their summer vacation. Mandy spent $16.25 at the amusement park. Jeremy spent $3.40 more than Mandy spent. Lily spent 2 times as much money as Jeremy spent. How much money did Lily spend at the amusement park?

Answers

SInce Jeremy spent 3.40 more that MAndy you do:
16.25 + 3.40 =19.65
Since Lily spent twice as much as Jeremy:
19.65 *2 = 39.30
Lily spent $39.30 at the amusement park

What percent is 150 sq ft of 3000 sq ft

Answers

150/3000 = /.05
.01 = 1%
.05 = 5%
5%

Which equation represents an exponential function that passes through the point (2, 36)?A.f(x) = 4(3)x
B.f(x) = 4(x)3
C.f(x) = 6(3)x
D.f(x) = 6(x)3

Answers

Hello,
A) 4*3^2=4*9=36
Others: 32,54,48

There are 24 men in a room¼ of the men are wearing red shirts
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​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men