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elena55 [62]
3 years ago
12

Ian wants to run 412 miles to get ready for his upcoming race. He has set up 3 markers the same distance apart to show how far h

e has run. How far apart are the markers? Drag and drop the correct answer to complete the statement. Each marker will be exactly miles apart.
Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
7 0

Answer:

Each marker will be exactly <u>103</u> miles apart.

Step-by-step explanation:

It is given that Ian wants to run 412 miles and has set up 3 markers the same distance apart.

Between the start and end of run, the 3 separate markers will divide the 412-mile distance into 4 equal segments.

So each segment = 412/4 = 103 miles

Each marker will be exactly <u>103</u> miles apart.


Oksanka [162]3 years ago
3 0

Answer:

103 miles

Step-by-step explanation:

begin - 1st mark - 2nd mark - 3rd mark - end

each mark is 1/4 of total distance as they are equally apart

distance apart = total distance / 4 = 412/4

= 103 miles


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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

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3 years ago
Two students Stella and vladmir complete the conversion statement 12 feet 8 inches = blank inches.
yuradex [85]

Answer:

so stella is right if thats what you ae asking

Step-by-step explanation:

12 times 12 is 144 and plus 8 is 152


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3 years ago
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Nadusha1986 [10]

Answer:

ABC is isosceles

Step-by-step explanation:

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3 years ago
The shape of the distribution of the time required to get an oil change at a 20 minute oil change facility. However, records ind
Katyanochek1 [597]

Answer:

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 21.3, \sigma = 3.9, n = 40, s = \frac{3.9}{\sqrt{40}} = 0.6166

Treating this as a random​ sample, at what mean​ oil-change time would there be a​ 10% chance of being at or​ below?

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So it is X when Z = -1.28.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.28 = \frac{X - 21.3}{0.6166}

X - 21.3 = -1.28*0.6166

X = 20.51

For a mean oil change time of 20.51 minutes there would be a​ 10% chance of being at or​ below

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