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MAVERICK [17]
4 years ago
8

Claire jogs no more than 20 miles per week. Which inequality represents the number of miles she runs each week?

Mathematics
2 answers:
AVprozaik [17]4 years ago
7 0
With this problem, the wording is important. “Claire jogs NO MORE than 20 miles per week” this means that she can run 20 miles or less.

Final answer
D if x is the miles per week
anzhelika [568]4 years ago
3 0
C Claire hogs anywhere between 0 and 20 miles per week. So she jogs 20 and below. Making the answer c
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5 0
3 years ago
A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.
AVprozaik [17]

Answer:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean  is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean \bar X is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

8 0
3 years ago
PLEASE HELP: Find the measure of the angle indicated. Arc BC is 80 degrees.
Marina CMI [18]
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3 years ago
Jamal planted 53 fewer flowers than Heidi. Write an expression to show how many flowers Heidi planted.
Sergeu [11.5K]

Answer:

y = x + 53

Step-by-step explanation:

Let x be the number of flowers Jamal planted and y the number of flowers Heidi planted.

Jamal planted 53 fewer flowers than Heidi:

x = y - 53

Isolate the y.

x + 53 = y (Change the - sign to + sign when switching from different sides of an equation)

y = x + 53

6 0
3 years ago
Read 2 more answers
2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possi
klio [65]

Answer:

2

Step-by-step explanation:

(,)=?

(,)=(5,2)

=5!(2!(5−2)!)

=5!2!×3!

= 10

4 0
3 years ago
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