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kozerog [31]
3 years ago
15

6) A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be random

ly assigned to one of those seats. What is the probability that the next person will be assigned to an aisle seat?
11) At a store, customers are randomly selected to participate in a survey. On Friday, there were 500 customers at the store. Of those, 90 were selected to participate in the survey. On Saturday, the store manager expects 700 customers in the store. If the probability of being selected to participate in the survey on Saturday is the same as it was on Friday, how many customers will be selected to participate in the survey on Saturday?
13) An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, explain in words why 15 is closest to the probability that the next customer will pay cash.
14) A store owner made a list of the number of greeting cards sold last month. The store sold 167 thank-you cards, 285 birthday cards, and 56 blank cards. Based on these data, write a decimal, rounded to the tenths place to show the probability that the next customer will buy a blank card.
Mathematics
1 answer:
Burka [1]3 years ago
6 0
The answer to number 6 is 2/5
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Find the value of x. 2(x-3)-17=13-3(x+2)
Nonamiya [84]
Solve your equation step-by-step.

2(x−3)−17=13−3(x+2)

Simplify both sides of the equation.

2(x−3)−17=13−3(x+2)

Simplify

2x−23=−3x+7

Add 3x to both sides.

2x−23+3x=−3x+7+3x

5x−23=7

Add 23 to both sides.

5x−23+23=7+23

5x=30

Divide both sides by 5.

5x/5 = 30/5

x=6

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If the confidence level is 90%, find the Margin of sampling error. The population is normally distributed, the sample size is 15
charle [14.2K]

Answer:

ME = 1.761* \frac{5}{\sqrt{15}}=2.273

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

\bar X= 75 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=5 represent the sample standard deviation

n=15 represent the sample size  

Solution to the problem

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=15-1=14

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,14)".And we see that t_{\alpha/2}=1.761

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    

And if we replace the values we got:

ME = 1.761* \frac{5}{\sqrt{15}}=2.273

6 0
3 years ago
Can someone please help me with this
makvit [3.9K]
11 donuts i believe :)
3 0
3 years ago
Is either x = 5 or x = 15 a solution to 25 - x =5?
Schach [20]
It’s gonna be b so its 2
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3 years ago
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