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Fudgin [204]
3 years ago
8

What is the radius of a circle whose area is 36 cm2

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

your answer should be 6! :)

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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that p = 0.53

Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

This is P(X = 4) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287

So the anwer is:

B) 0.287

7 0
3 years ago
Read 2 more answers
According to a​ report, 67.5​% of murders are committed with a firearm. ​(a) If 200 murders are randomly​ selected, how many wou
kolezko [41]

Answer: The answer is 135 murders.

Step-by-step explanation: The report tells us that statistically 67.5% of murders are committed using a firearm. It follows therefore that in a sample of 200 randomly selected murders, one would expect that 67.5% of those would be by a firearm. \frac{67.5}{100} * 200 = 135.

It would certainly be higher that the expected value based on previous data collected but it would not be unusual because one sample may have a higher than "normal" amount of murders by firearm. Statistics aren't going to be exact for every sample.

8 0
3 years ago
You have a large container of olive oil. You have used 25 quarts of oil.
Svetradugi [14.3K]

Step-by-step explanation:

25 plus 25 equal 50 so 50 percent

7 0
3 years ago
What is the equation of the line? <br><br> Use y = mx+b
Olegator [25]

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = \frac{2-3}{4-2} = - \frac{1}{2}

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - \frac{1}{2} x + 4 ← equation of line

8 0
3 years ago
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A student expanded an expression, as shown. Is the student's work correct? Explain why or why not.
alex41 [277]
The work is incorrect.

(-6) multiplies both terms inside parentheses. For some reason, the student changed the sign of that multiplier for the second term. The second term of the result should have a positive sign, the result of multiplying (-6)(-2/13) = +12/13.
4 0
3 years ago
Read 2 more answers
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