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3 years ago

What is 0.00001 meters in nanometers

Mathematics

2 answers:

Ivahew [28]3 years ago

7 0

The answer is 10000 nanometers because 1 Nanometer = 0.000000001 Meters

Luden [163]3 years ago

5 0

The answer is 10000 because you need to flip it

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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

MrRissso [65]

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

Solve p(x+q)=r for x

STatiana [176]

(x+q) = r/p
x+q = r/p
x = (r/p) - q

3 0

3 years ago

Find vertex of f(x)=(x+3)(x-5)

astra-53 [7]

The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.

Answer: (1, -16)

Let's do it some other ways. How about completing the square to turn f in to vertex form?

f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16

and now we can read off (1, -16) as the vertex.

The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.

Three methods, same answer. Good.

4 0

3 years ago

Read 2 more answers

Show all steps<br> question is in the photo.

Lady bird [3.3K]

$\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}$

$\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}$

$\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}$

$\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)$

$\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}$

5 0

3 years ago

Read 2 more answers

The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point

Ann [662]

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be $(h,k)$

Another way of representing a quadratic is in "vertex form":

$f(x) = a(x-h)^2+k$

Now all you have to do is solve for a. You know that the vertex is $(0,2)$ and you have know the point of $(1,8)$ . Now, all you have to do is plug in these values and solve for a.