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IceJOKER [234]
3 years ago
15

Find x when f(x)=1 . (These means find the input that gives an output of 1.) f(x)=1/x-2

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

x = 1/3

Step-by-step explanation:

1 = 1/x -2

add 2 to both sides

3 = 1/x

x = 1/3

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Consider a paint-drying situation in which drying time for a test specimen is normally distributed with σ = 7. The hypotheses H0
pshichka [43]

Answer:

(a) The value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b) The mean drying time of paint is not less than 74.

Step-by-step explanation:

The hypothesis for the single mean test is:

<em>H₀</em>: <em>μ</em> = 74 vs. <em>Hₐ</em>: μ < 74.

The information provided is:

<em>σ</em> = 7

<em>n</em> = 25

As the population standard deviation is known, we will use a <em>z</em>-test for single mean.

(a)

The <em>z</em>-score is a Normal distribution with mean 0 and variance 1. It is also defined as the number of standard deviations a raw score is from the mean.

The <em>z</em>-score for sample mean is given by:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

If \bar x = 72.3 compute the corresponding <em>z</em>-score as follows:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}

  =\frac{72.3-74}{7/\sqrt{25}}\\=-1.21

Thus, the value \bar x = 72.3 is 1.21 standard deviations below the null value of <em>μ</em>.

(b)

So the test statistic is, <em>z</em> = -1.21.

Compute the <em>p</em>-value of the test as follows:

p-value=P(Z

*Use a <em>z</em>-table.

The decision rule says to, reject the null hypothesis if the <em>p</em>-value is less than the significance level <em>α</em> = 0.01 and vice-versa.

<em>p</em>-value = 0.1131 < <em>α</em> = 0.01

The null hypothesis was failed to be rejected.

Thus, the mean drying time of paint is not less than 74.

6 0
2 years ago
A line contains the points (4,2) and (0, -1).What is the equation of the line?
Lady bird [3.3K]

Find the slope:

y₂ - y₁ / x₂ - x₁

-1 - 2 / 0 - 4

-3 / -4

3/4

y = mx + b

y = 3/4x + b

Substitute any of the point's coordinate in the equation.

I'll pick (0,-1)

y = 3/4x + b

-1 = 3/4(0) + b

-1 = 0 + b

-1 = b

y-intercept = -1

y-intercept Equation:

y = 3/4x - 1

Point-slope form:

y - 2 = 3/4(x - 4)

Standard form:

-3/4x + y = -1

3 0
3 years ago
Read 2 more answers
An acute angle θ is in a right triangle with sin θ = seven elevenths. What is the value of the other five trigonometric function
Strike441 [17]

Solve it yourself

Ffgngyttdfgggdcvgsdccnj

4 0
3 years ago
Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation
disa [49]

Answer: 1) 500, 000

2) Five hundred thousand

3) 5\times10^5

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = <u>500, 000</u>

In word -<u> Five hundred thousand</u> [ as place value of 5 =  hundred thousand]

In scientific notation, 500, 000=5\times10^5

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) 5\times10^5

4 0
3 years ago
I REALLY NEED HELP!!!!
NISA [10]

Answer:

1  2/8 inches

Step-by-step explanation:

smallest = 2/8

largest = 1 4/8

difference = 1 2/8

4 0
2 years ago
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