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What is the circumference of a circle with a diameter of 10 feet? Use 3.14 forTT
d = 10
A. 31.4 ft
B. 62.8 ft
C. 13.14 ft
D. 15.7 ft
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Answers

Answer 1

Answer:

The Circumference of the circle will be 31.4 feet.

What is circumference of a circle?

Circumference of a circle is the perimeter of a circle.

i.e.

Circumference of a circle = 2πr

We have,

Diameter of circle= 10 feet

So,

Radius of circle $= (10)/(2)=5$ feet

Now,

Using the above mentioned formula,

Circumference of a circle = 2πr

i.e.

Circumference of a circle = 2 * 3.14 * 5

So,

Circumference of a circle = 31.4 feet

Hence, we can say that the Circumference of the circle will be 31.4 feet.

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Answer 2

Answer:

Step-by-step explanation:

31.4 feet

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Graph the function f(x) = x^3+2x^2-3
The principles of probability help bridge the worlds of _____________ statistics and _____________ statistics.
49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively. Identify which type of sampling is used and why?A) Convenience B) Cluster C) Random D) Systematic E) Stratified

Scores on a test in a very large class are bell-shaped and symmetric. The mean on the test was 75, and the standard deviation was 5. What percent of the scores were above 75?

Answers

Answer:

50% of the scores were above 75

Step-by-step explanation:

Problems of normally distributed(bell-shaped) samples are 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:

$Z = (X - \mu)/(\sigma)$

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.

In this problem, we have that:

$\mu = 75, \sigma = 5$

What percent of the scores were above 75?

This is 1 subtracted by the pvalue of Z when X = 75. So

$Z = (X - \mu)/(\sigma)$

$Z = (75 - 75)/(5)$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

50% of the scores were above 75

Kendra sold 200 shares through her broker in June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?

Answers

Answer:

A. $4397.9

Step-by-step explanation:

We are given that Kendra sold 200 shares and that the price per share was $22.1

This means that:

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

This means that:

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

Therefore,

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

Are ray AB and ray BA same? why

Answers

Answer:

A length of a ray cannot be measured therefore it's refferd to as infinite. same

40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with the aid of a diagram. State what type of problem this is. if it's division, which type? Explain your reasoning, not just by using an equation.

Answers

Answer:

The full budget has a total value of $160,000

Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

$(64,000)/(40 percent) = (x)/(100 percent)$

$(64,000 * 100 percent)/(40 percent) = \frac{x}$

$(6,400,000)/(40 percent) = \frac{x}$

$160,000= \frac{x}$

So now we know that 100% (The full budget) has a total value of $160,000.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Sam is getting ready for a big date when he realizes that he has no money. His roommate, Bill, also has no money, but he has a credit card. Knowing that nobody will let Sam use Bill’s credit card, Sam asks Bill to pull out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is a 30% interest rate, compounded monthly. 5 full years go by before the $120 cash advance is repaid. How much should Bill ask Sam to pay in interest for the cash advance? a.
$3.88
b.
$112.80
c.
$120.00
d.
$232.80

Answers

cash advance = 120

annual interest rate = 30% compounded monthly

term = 5 years

A = P (1 + r/n)^nt

A = future value of the cash advance

P = principal or value of cash advance

r = interest rate

n = times interest is compounded

t = terms or years

A = 120 (1 + 30%/12)^12 * 5

A = 120 (1 + 0.025)^60

A = 120 (1.025)^60

A = 120 (4.40)

A = 528

528 total amount including principal.
528 - 120 = 408 total interest paid
I hope this helps!!

Answer:

I just took the test, the answer is B.) $112.80

B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!

Answers

Answer:

More number of words that can be made: $\bold{2^n}$

Please refer to below proof.

Step-by-step explanation:

Given that:

The number of binary code words that can be made:

$B(n) =2^n$

where n is the length of binary numbers.

Binary numbers means 2 possibilities either 0 or 1.

Here, suppose if we have 5 as the length of binary number.

And there are 2 possibilities for each digit.

So, total number of possibilities will be $2* 2* 2* 2* 2 = 2^5$

If the length of binary number is 2.

The total words possible are $2^2$ .

These numbers are:

{00, 01, 10, 11}

If the length of binary number is 3. (increasing the 'n' by 1)

The total words possible are $2^3$ .

These words are:

{000, 001, 010, 100, 011, 101, 110, 111}

So, number of More binary words = 8 - 4 = 4 or $2^2$ or $2^n$ .

So, the answer is $2^n$ .

Let us try to prove in generic terms:

$B(n) = 2^n$

Increasing the n by 1:

$B(n+1) = 2^(n+1)$

Number of more words made by increasing n by 1:

$B(n+1) -B(n)= 2^(n+1) -2^n\n\Rightarrow 2* 2^(n) -2^n\n\Rightarrow 2^n(2-1)\n\Rightarrow \bold{2^n}$

Hence, proved that:

More number of words that can be made: $\bold{2^n}$

Final answer:

When the length of a binary code word increases from n to n+1, the number of additional binary code words is equal to the number of binary code words of length n, which is $2^n$ .

Explanation:

When the length is increased from n to n+1, the number of binary code words of length n+1 is equal to the number of binary code words of length n multiplied by 2. This is because for each binary code word of length n, we can append a 0 or a 1 to create two new binary code words of length n+1. Therefore, the number of additional binary code words is equal to the number of binary code words of length n, which is $2^n$ .