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Rina8888 [55]
3 years ago
13

A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randoml

y selected without replacement. Complete parts​ (a) through​ (d).
Class
Frequency

Freshman
6
Sophomore
16
Junior
12
Senior
7
a. Determine the probability that the first student obtained is a junior and the second a senior.
Mathematics
1 answer:
Andrews [41]3 years ago
8 0

Answer: \dfrac{21}{410}.

Step-by-step explanation:

Formula : Probability = \dfrac{\text{favorable outcomes}}{\text{Total outcomes}}

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = \dfrac{12}{41}

Probability that the the second student obtained is a senior. =\dfrac{7}{41-1}=\dfrac{7}{40}

Then, the probability that the first student obtained is a junior and the second a senior would be \dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}

Hence, the required probability is \dfrac{21}{410}.

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vova2212 [387]

Answer:

  after 75 minutes

Step-by-step explanation:

The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:

1. List the factors of each number and find the product of the unique ones:

  15 = 3·5

  25 = 5²

The LCM is 3·5² = 75.

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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...

  15·25/5 = 75

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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:

  15, 30, 45, 60, <em>75</em>, 90

  25, 50, <em>75</em>, 100

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The two buses will appear together again after 75 minutes.

5 0
3 years ago
6 ÷ 0.5 plss answer<br><br> Marking Brainliest!!
Rudik [331]

Answer:

<h2><u><em>12</em></u></h2>

Step-by-step explanation:

0.5 = 1/2

6 ÷ 0.5 = 12

or

6 : 1/2 =

6 × 2 = 12

6 0
2 years ago
On Tuesday, a coffee sho sold the following: 20 coffees for $2.85 each and 17 lattes f r $4.80 each, If the coffee shop had to p
almond37 [142]

Ok so to solve this problem we're going to need to find out how much money they made (their revenue) and the subtract the cost of paying the employees.

So, let's start by finding their revenue

Step 1: Multiply the cost of each beverage by the number sold

Coffees: 20 x 2.85 = 57

Lattes: 17 x 4.80 = 81.6

Step 2: add up the money made from the coffees and the money made from the lattes to get the total revenue

57 + 81.6 = 138.6

So the shop made $138.60 on Tuesday. Let's set that aside while we find out how much the shop's costs were.

Step 3: Find the price of paying two employees for 6 hours

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So the shop had to pay the employees $174.00 for working there.

Step 4: Find the overall profit/loss by subtracting the cost from the revenue

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So the shop had a loss of $35.40 on Tuesday.


Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)


7 0
3 years ago
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Answer:

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Step-by-step explanation:

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