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3 years ago

A circle has a circumference of 3600 pi. what is the diameter of the circle

1 answer:

3 0

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Formula
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Circumference = πD

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Find Diameter
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3600π = πD
D = 3600 ← Divide by π on both sides

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Answer: Diameter = 3600 unit
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7. Find the sum or difference. -2(d +1) + (6d +4)

Arturiano [62]

Answer:

Step-by-step explanation:

Sum

-2d + 1 + 6d + 4

Solving like terms

4d + 5

Difference

-2d + 1 - 6d - 4

-8d - 3

4 0

3 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

$\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75$

And for the margin of error we have the following estimation:

$ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62$

5 0

3 years ago

Translate to a proportion and solve. 148.5 is 59 1/5% of what?

lesantik [10]

The actual value is 250.84 .

Formula

Percentage calculation =(given value/total value)*100

let the actual value is "x"

percentage we known is 59 1/5% (59.2%) and 59.2% of x is 148.5.

for the percentage,

x*59.2% =148.5

x*59.2/100=148.5

x=(148.5/59.2)*100

x=(2.5084)*100

x=250.84

The actual value is 250.84 .

Learn more about the percentage here:

brainly.com/question/14091961

#SPJ1

5 0

2 years ago

The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d

Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable X is:

x: 20 | 25 | 30 | 35

f (x): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

0 ≤ P (X) ≤ 1
∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

$\sum P(X)=0.20+0.15+0.30+0.35=1$

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of X = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

6 0

4 years ago

Find the volume of the sphere.

nataly862011 [7]

Answer:

Volume of a sphere = 4πr³/3

r=10

V = 4πx10³/3

=4000π/3

V= 1333.33π (in terms of pi)

V= 4188.79(Nearest Hundredth).

7 0

3 years ago

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