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sasho [114]
2 years ago
8

What is the circumference in centimeters the circle is 24 centemeters in diamater

Mathematics
2 answers:
Sindrei [870]2 years ago
8 0

Answer:

75.398 cm to the nearest thousandth.

Step-by-step explanation:

Circumference = π * diemeter

= 24π

= 75.3982 cm

Pachacha [2.7K]2 years ago
5 0

Answer:C≈75.4cm

d Diameter

24

cm

d

r

r

r

d

d

C

A

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·24≈75.39822cm

Step-by-step explanation:

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Student records suggest that the population of students spends an average of 6.30 hours per week playing organized sports. The p
Ymorist [56]

Answer:

a) 99.24% chance HLI will find a sample mean between 5.5 and 7.1 hours.

b) 81.64% probability that the sample mean will be between 5.9 and 6.7 hours.

Step-by-step explanation:

To solve this question, it is important to know the Normal probability distribution and the Central Limit Theorem

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 6.3, \sigma = 2.1, n = 49, s = \frac{2.1}{\sqrt{49}} = 0.3

A) What is the chance HLI will find a sample mean between 5.5 and 7.1 hours?

This is the pvalue of Z when X = 7.1 subtracted by the pvalue of Z when X = 5.5.

By the Central Limit Theorem, the formula for Z is:

Z = \frac{X - \mu}{s}

X = 7.1

Z = \frac{7.1 - 6.3}{0.3}

Z = 2.67

Z = 2.67 has a pvalue of 0.9962

X = 5.5

Z = \frac{5.5 - 6.3}{0.3}

Z = -2.67

Z = -2.67 has a pvalue of 0.0038

So there is a 0.9962 - 0.0038 = 0.9924 = 99.24% chance HLI will find a sample mean between 5.5 and 7.1 hours.

B) Calculate the probability that the sample mean will be between 5.9 and 6.7 hours.

This is the pvalue of Z when X = 6.7 subtracted by the pvalue of Z when X = 5.9

X = 6.7

Z = \frac{6.7 - 6.3}{0.3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

X = 5.9

Z = \frac{5.9 - 6.3}{0.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So there is a 0.9082 - 0.0918 = 0.8164 = 81.64% probability that the sample mean will be between 5.9 and 6.7 hours.

5 0
3 years ago
What is the answer to this question ? 3a-4=5
Nataly_w [17]

Answer:

a=3

Step-by-step explanation:

a=3 because 5+4=9 and 9÷3=3

hope this helps!!

8 0
3 years ago
Read 2 more answers
Is x=4 a solution to the equation 6=x+2? Is it a solution to the inequality 2x≥9?
jek_recluse [69]

Answer:

Is x = 4 a solution to the equation 6 = x + 2? YES

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Step-by-step explanation:

Is x = 4 a solution to the equation 6 = x + 2? YES

we cans solve the equation 6=x+2 by clearing for x:

6 = x + 2

we move the +2 on the right as a -2 to the left:

6 - 2 = x

4 = x

this way we find that indeed x = 4 is a solution to 6 = x + 2.

Is x = 4 a solution to the inequality 2x ≥ 9? NO

Let's solve the inequality by clearing for x:

2x ≥ 9

we move the 2 that is multiplying on the left to divide on the right side:

x ≥ 9/2

x ≥ 4.5   ⇒ <u>x must be greater than or equal to 4.5</u>

thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5

3 0
3 years ago
The angle of elevation from a soccer ball on the ground to the top of the goal is 34. If the goal is 8 ft tall, what is the dist
Nastasia [14]
You can use the Pythagorean Theorem. Which is a^2 + b^2 = c^2.

So now to plug in the equation.

In your case a is 8 and c is 34. So now we need to solve for b.


8 squared is equal to 64.
34 squared is equal to 1156.

Now to plug things in.

64 + b^2 = 1156

Now subtract 64 from 1156.

That equals 1092.
The equation is now

b^2 = 1092

Now do the square root of 1092.

But since the square root is an irrational number you can just write b = 1092 ( but put a square root with 1092)
8 0
3 years ago
HELP PLZ ITS FOR SCHOOL
DedPeter [7]

Answer:

a)5:2

b)14

c)17

Step-by-step explanation:

The ratio for babies to nursery workers is 5:2

To find the answer to b, we find how much you have to multiply 2 by to get 35, which is 7 and multiply that by the number of workers, 2, so you need 14 workers

To find the answer to c multiply 2 bye 3.5 to get 7 and multiply 5 by 3.5 to get 17.5 now rounf down so the answer to c is 17

7 0
3 years ago
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