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pantera1 [17]
3 years ago
15

Circumference of a circle is 6.25 what is the area

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0
As we know,
Area of a circle= pi r.r
circumference of a circle= pi.d
so 6.25= pi.d
6.25= 2pi.r
r= 6.25/2pi= 0.99
so now
Area= pi.r.r = 3.14(0.99)(0.99) = 3.077 Answer.

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The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
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Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
Which radical expression in the picture is equivalent to t^5/8?
mixas84 [53]
<h3>Answer: Choice B</h3>

=========================================================

Explanation:

The rule we use is

\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3

or in this case,

\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5

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3 years ago
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natita [175]
The second graph or the letter B
3 0
3 years ago
I need help asap please
Anna [14]

Answer:

-3 or decreasing by 3

Step-by-step explanation:

To find the average change, you only care about the first and last point which would be (3,17) and (8,2)

the overall change during that time is 2-17=-15 (for the f(x) side )

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