If the radius is 8m, what is the diameter​

Answer:

Step-by-step explanation:

I = PRT

PRT = I

R = I/PT

R = 3224/(8060)(5)

R= 8%

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, 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 normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that [tex]n = 50[/tex]

Mean age and standard deviation are 75 and 6 years

This means that [tex]\mu = 75, \sigma = 6[/tex]

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{73 - 75}{0.8485}[/tex]

[tex]Z = -2.36[/tex]

[tex]Z = -2.36[/tex] has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

Answer:

I believe 25/ 6 is the answer

Step-by-step explanation:

Answer:

x+y≤15

Step-by-step explanation:

We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.

Sum of x and y means x+y

The inequality becomes,

x+y≤15

Hence, the correct option is (b).

The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15

According to question;

In essence, the sum of x and y is either equal to or lesser than 15.

Therefore, the inequality is Choice B; x+y_<15

Read more;

https://brainly.com/question/23382973

uhhh...p=3.4 is already simplified.

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hope it helps???

Answer:

circle

Step-by-step explanation:

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

Answer:

2. 13

4. 18

6. 14

Step-by-step explanation:

2. (5 x 2/5) = 2

20/2=10

10+3 = 13

4. (6/2+8) = 11

2 x 11 = 22

22-4 = 18

6. (8-2/2) = 7

21/3 = 7

7 + 7 = 14

Answer:

13, 18, 14

Step-by-step explanation:

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

The area is 28 square inches.

Step-by-step explanation:

You need to use the Pyhtagorean Theorem for this one, to find the height.

3^2 + h^2 = 5^2

9 + h^2 = 25

h^2 = 25 - 9

h^2 = 16

h = 4

The Pythagorean Theorem is basically A squared + B squared is C squared, With C always being the hypotenuse, or longest side. A and B are the base and height. You can use either A or B for either base or height, but you must use C for the hypotenuse.

Brainliest would be appreciated :)

Answer:3

Step-by-step explanation:

12/4=3, 9/3=3

hope it helps

Answer:

Height = 6 units

Step-by-step explanation:

Recall that the volume of a pyramid is defined as:

Volume = 1/3  Base x Height

Then, in our case we have:

140 = 1/3 (70) x Height

we multiply by 3 both sides to eliminate the fraction on the right:

420 = 70  Height

divide by 70 to isolate the Height completely:

420 / 70 = Height

Therefore, the height is:

Height = 6 units

Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre

⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre

                                                         = 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

Answer:

total of 25 to clean.

did 10

has 15 left

Answer: 15

Step-by-step explanation:

Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7

he finds 8 cams to clean... so we add 8+7... and it becomes 15...

brainliest appreciate

Answer:

42

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

27

reason:

did it recently

Answer: 1/2 and 2/3

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

Answer:

Well, a is supposed to be an unknown number. And that unknown number is supposed to multiply by 8. Now A is suppose to equal 8.4.

Answer:

4   5

8    10

24     30

Step-by-step explanation:

Answer:30

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

3x=42 d. b. s by 3

3x/3=42/3

x=14

Answer: 6

Step-by-step explanation:u divide 31.2 and 5.2

Answer:

C. 12

Step-by-step explanation:

50-15=35

35÷2.75=12.7272

Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!

Step-by-step explanation:

Answer:

$20.00

Step-by-step explanation:

Answer:

20.00 trust me

Step-by-step explanation:

Answer: Letter B)

A=πr2

d=2r

A=1

4πd2=1

4·π·162≈201.06193

Step-by-step explanation:

Hope this Helps! : )

B

Your answer is B, your welcome.