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lora16 [44]
2 years ago
10

the diameter of a value for the space shuttle must be within 0.001mm of 5mm. Write and solve an absolute value equation to find

the boundary values for the acceptable diameters of the valve. i just need the absolute value equation i will name whoever does it first brainliest
Mathematics
1 answer:
dybincka [34]2 years ago
4 0

The <em><u>correct answer</u></em> is:

|x-5|=0.001

Explanation:

Since the diameter must be within 0.001 mm, this means it can be greater than 5 by this amount or less than 5 by this amount.  This is why we use an absolute value equation; absolute value describes distance.

Since it must be within 0.001 mm, this means the difference between our value, x, and 5 must equal 0.001; this is why x-5 goes in the absolute value bars and 0.001 goes across the equals sign.

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A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is
MakcuM [25]

Answer:

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 5 minutes

Sample mean, \bar{x} = 4.61 minutes

Sample size, n = 15

Alpha, α = 0.05  

Sample standard deviation, s = 0.75 minutes

a) First, we design the null and the alternate hypothesis  

H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}  

We use two-tailed t test to perform this hypothesis.  

b) Formula:  

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have  

t_{stat} = \displaystyle\frac{4.61 - 5}{\frac{0.75}{\sqrt{15}} } = -2.0139  

c) Now, we calculate the p-value using the standard table.

P-value = 0.0638

d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.

4 0
1 year ago
A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex
MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is x=p

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(p,a)\ (p,-a)

Substitute the values

m=\frac{-a-a}{p-p}

m=\frac{-2a}{0}  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

x=p

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0
2 years ago
While measuring specimens of nylon yarn taken from two spinning machines, it was found that 9 specimens from the first machine h
stepladder [879]

kaaaaaaaaaaaaaaaaabbbichaStep-by-step explanation:

8 0
1 year ago
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10
Alborosie

Answer:

<em>The probability is 42%</em>

Step-by-step explanation:

<u>Conditional Probability</u>

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, P(A\cap B) is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

\displaystyle P(A)=\frac{24}{125}

The probability that he or she has both attributes is

\displaystyle P(A\cap B)=\frac{10}{125}

Thus, the required conditional probability is

\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}

\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42

The probability is 42%

5 0
2 years ago
Find the P​-value in a test of the claim that the mean IQ score of acupuncturists is equal to​ 100, given that the test statisti
klemol [59]

Answer:

P-value = 0.0455

Step-by-step explanation:

In this question, we are concerned with calculating the P- value in a test.

Mathematically we know that;

P-value = 2 * P(Z > |z|)

Please check attachment for complete solution and by step explanation

7 0
1 year ago
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