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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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What is the area of the deck, not including the garden, in Plan A? (Type
zalisa [80]

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

5 0
4 years ago
5. The sides of a triangle are in the ratio 4:5:6. What is the length of each side if the
FrozenT [24]

Answer:

12, 15, 18

Step-by-step explanation:

4+5+6 = 15

45/15 = 3

multiply 4 x 3 = 12

multiply 5x 3 = 15

multiply 6 x 3 = 18

4 0
3 years ago
Jeremiah Holmes
olga nikolaevna [1]

Answer:

- 508

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 28 and d = - 34 - (- 28) = - 34 + 28 = - 6, thus

a_{81} = - 28 + (- 6 × 80) = - 28 - 480 = - 508

6 0
3 years ago
I need it fasttttttt
Olenka [21]

the answer to this question is 15

3 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 less thsn twice it's width. The perimeter is 26 meters. Find the deminsion of rectangle
Reptile [31]

Answer:Width is 6 meters and length is 7 meters

Step-by-step explanation:Let width be  

x

and length be  

y

. We know that the length of the rectangle is 5 less than twice its width. This can be written as:

y

=

2

x

−

5

We also know that the perimeter of the rectangle is 26 meters. The perimeter is the sum of all sides: 2 widths + 2 lengths.

P

=

2

x

+

2

y

26

=

2

(

x

+

y

)

x

+

y

=

13

We now have two equations which we can solve simultaneously. Substitute  

y

=

2

x

−

5

into the second equation:  

x

+

y

=

13

x

+

(

2

x

−

5

)

=

13

3

x

=

18

x

=

6

Now that we have a value for  

x

(width), we can sub this value into the first equation to get  

y

(length).

y

=

2

(

6

)

−

5

y

=

7

There are other methods you can use to solve simultaneous equations.

Hope this helps :)

3 0
3 years ago
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