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3 years ago

The diameter of a circle is 14 inches, Eind the circumference and area. Use Find 22 for it.

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

Step-by-step explanation:

If diameter is 14 inches radius = d/2 = 14/2 = 7 inches

Circumference = 2 pi R = 2 × 22/7 × 7

= 44 inches

Area = pi R square = 22/7 × (7)^2

=22/7 × 49

= 154 inches

Hope this helps

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20POINTS<br> x-4y=1 and 2 x-8y=2

Rom4ik [11]

First you would take one and move it over to the left side and never leave for why and then you divide by one which would leave for why and it would also have X equals 4Y and then you divide ask my Y and I will just leave you which is XY equals four

4 0

3 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

3. Solve the following application of a system of linear equations.

zhuklara [117]

Answer:

Equations:

$y = 14 + 9 x$ --- Cindy

$y = 10 x$ --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

$Existing\ Flashcards = 14$

$Additional = 9$ per minute

Total number of flashcards (y) in x minutes is:

$y = Existing\ Flashcards + Additional * x$

$y = 14 + 9 * x$

$y = 14 + 9 x$

Ruben:

$Rate = 10$ per minute

Total number of flashcards (y) in x minutes is:

$y = Rate * x$

$y = 10 * x$

$y = 10 x$

Solution to Equations:

Time they have the same amount.

To do this, we $equate$ $both$ expressions

i.e.

$10x = 14 + 9x$

Collect Like Terms

$10x - 9x = 14$

$x = 14$

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

$y = 10 x$

$y = 10 * 14$

$y = 140$

$y = 14 + 9 x$

$y = 14 + 9 * 14$

$y = 14 + 126$

$y = 140$

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2 years ago

Simplify the two surds then simplify the resulting expression:<br> 2√50 + 3√32

-BARSIC- [3]

Answer: 31.11269837 round your answer if needed to

Step-by-step explanation:

3 0

2 years ago

Carrie made a square tablecloth with an area of 169 square inches. What was the length of each side of the tablecloth?

rusak2 [61]

Well I figured it out and I came up with 13 square inches. you can find this out by doing the square root of 169. I hope this help :).

3 0

2 years ago