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harkovskaia [24]
2 years ago
7

Find the circumference in inches

Mathematics
2 answers:
artcher [175]2 years ago
4 0

Answer:

87.92 in.

Step-by-step explanation:

The formula for circumference of a circle is: πd (diameter) or 2πr(radius).

π - pi

Here, only the radius (14) is shown. So we would have to use this formula: 2πr.

Now, let's just plug-in the numbers.

**3.14 is commonly used for pi.**

2πr

2 × 3.14 × 14 = 87.92

OR

We could simply double the radius, and use this formula instead: πd

πd

3.14 x 28 = 87.92

As you can see, I got the same answer either way.

Therefore, the circumference of this circle is 87.92 in.

Alborosie2 years ago
3 0

Answer:

Step-by-step explanation:

2×radius with pi, 28*pi=28 pi or 87.92

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The average telephone bill in a locality is $70, with a standard deviation of $40. In a sample of 50 randomly selected phone con
Sever21 [200]

Using the normal distribution, there is a 0.1894 = 18.94% probability that the sample average will exceed $75.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

The parameters for this problem are given as follows:

\mu = 70, \sigma = 40, n = 50, s = \frac{40}{\sqrt{50}} = 5.66

The probability that the sample average will exceed $75 is <u>one subtracted by the p-value of Z when X = 75,</u> hence:

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

By the Central Limit Theorem

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

Z = (75 - 70)/5.66

Z = 0.88

Z = 0.88 has a p-value of 0.8106.

1 - 0.8106 = 0.1894.

0.1894 = 18.94% probability that the sample average will exceed $75.

More can be learned about the normal distribution at brainly.com/question/28096232

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3 0
2 years ago
Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help
Sphinxa [80]

Answer:

114

Step-by-step explanation:

add the areas of all 6 faces

the formula is A= 2(l*w)+2(l*h)+2(h*w)

A=2(8*3)+2(8*3)+2(3*3)=114

answer: 114yd^2

3 0
3 years ago
I don’t get this lol...really need help with this!
Hunter-Best [27]
Look up the equation for it
4 0
3 years ago
Suppose f′(6)=5 and g′(6)=7. <br> Find h′(6) where h(x)=4f(x)+5g(x)+1.
Nimfa-mama [501]

The value of the derivative of functions h'(6) as requested in the task content is; 55.

<h3>What is the value of h'(6)?</h3>

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

Read more on functions;

brainly.com/question/6561461

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3 0
2 years ago
--2m + 4n2 for m = -6 and n=-5<br> Evaluate the expression
Tamiku [17]

Answer: 112

Step-by-step explanation:

Since we were given m and n, we plug them into the expression and solve.

-2(-6)+4(-5)²            [exponent]

-2(-6)+4(25)            [multiply]

12+100                     [add]

112

Now, we know that the value of the expression is 112.

7 0
3 years ago
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