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makvit [3.9K]
3 years ago
15

Prime numbers up to 30

Mathematics
2 answers:
Mrrafil [7]3 years ago
6 0

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-by-step explanation:

Google

ohaa [14]3 years ago
3 0

Answer:

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29!

Step-by-step explanation:

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The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7
krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, \bar{x} = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)

The lower limit of 95% confidence interval is 99002.

6 0
4 years ago
a circle with a radius of 3 has a sector with a central angle of 1/9 pi radians. What is the area of the sector?
Iteru [2.4K]

Answer:

The area of the sector is  \frac{\pi}{2}\ units^2

Step-by-step explanation:

step 1

Find the area of complete circle

A=\pi r^2

we have

r=3\ units

substitute

A=\pi 3^2

A=9\pi\ units^2

step 2

Find the area of the sector

we know that

The area of complete circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector by a central angle of 1/9 pi radians

\frac{9\pi}{2\pi}=\frac{x}{\frac{1}{9}\pi} \\\\x=9\pi(\frac{1}{9}\pi})/2\pi\\\\x=\frac{\pi}{2}\ units^2

3 0
3 years ago
Read 2 more answers
Select the correct answer.
Elodia [21]

Answer:

addition and multiplication are the inverse of subtraction and division, respectively.

The inverse of a function can be viewed as reflecting the original function over the line y = x. In simple words, the inverse function is obtained by swapping the (x, y) of the original function to (y, x).

We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:

g(x) = f − 1(x) or f(x) = g−1(x)

One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.

Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.

Step-by-step explanation:

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6 0
2 years ago
One and six tenths as a decimal
Brums [2.3K]

Answer:

1.6

Step-by-step explanation:

1 and 6/10 = 1.6 as a decimal

8 0
3 years ago
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Which identifies all the integer solutions of the equation |x| = 12?
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B. Because the absolute value of a number is the distance of that number from 0.
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3 years ago
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