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gizmo_the_mogwai [7]
3 years ago
10

Construct a Venn diagram of the probabilities from the teacher's survey. Based on the probabilities, are the events "course grad

e was a C" and "did at least 30 minutes of homework" independent? Explain your answer.​

Mathematics
1 answer:
rodikova [14]3 years ago
7 0

9514 1404 393

Answer:

  • the body of the table IS a Venn diagram
  • C and ≥30 min are NOT independent

Step-by-step explanation:

A Venn diagram of these probabilities would look exactly like the body of the table. It would have 6 non-overlapping cells completely covering the universe. Pairs would be identified as associated with the same grade, and triples would be identified as associated with homework time.

__

P(C | ≥30) = P(C and ≥30)/P(≥30)

P(C | ≥30) = 0.07/0.70 = 0.1

P(C) = 0.2 ≠ 0.1 = P(C | ≥30)

The events are not independent. The probability of a grade of C depends on how much homework was done.

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The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the
user100 [1]

Answer:

ive never worked with cones but my best guess would be the third and fourth

Step-by-step explanation:

4 0
3 years ago
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to f
kenny6666 [7]

Answer:

40 quarts

Step-by-step explanation:

1 gallon=4

4•10=40

5 0
3 years ago
how many wall are there in your room? what are the shape of the floor and ceiling in your room ? how can you find the area of ea
Triss [41]

My room is made up of four walls, both the floor and the ceiling are rectangular in shape.

  • There are four walls in my room.
  • The shape of the floor is a rectangle and given that the ceiling is the same form above the floor, it is also shaped as a rectangle.

To get the area of a rectangle, you use this formula since my floor and ceiling are rectangle.

Area = L * W

where

L = length

W= width

But if you have a square floor and ceiling, the area of a square is

Area = s²

given that it is side * side.

<em>In conclusion, there are </em><em>4 walls</em><em> in every room. The shape of the ceiling or floor could be a </em><em>rectangle or a square</em><em>. It depends on your room and its measurements. To get the area, </em><em>multiply </em><em>the length by the width.</em>

<em>read more at brainly.com/question/24359958?referrer=searchResults</em>

7 0
3 years ago
Industry standards suggest that 13 percent of new vehicles require warranty service within the first year. Jones Nissan in Sumte
zvonat [6]

Answer: 0.1880

Step-by-step explanation:

The binomial distribution formula is given by :-

P(x)=^nC_xp^x(1-p)^{n-x}

where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The probability of new vehicles require warranty service within the first year : p =0.13.

Number of trials  : n= 12

Now, the required probability will be :

P(x=0)=^{12}C_0(0.13)^{0}(1-0.13)^{12-0}\\\\=(1)(0.13)^{0}(0.87)^{12}=0.188031682201\approx0.1880

Thus,  the probability that none of these vehicles requires warranty service = 0.1880

5 0
3 years ago
If DF =9x-39, find EF
pickupchik [31]

Answer:

EF = 58

Step-by-step explanation:

From the question given, we obtained the following information:

DF = 9x – 39

DE = 47

EF = 3x + 10

EF =?

We'll begin by calculating the value of x.

This can be obtained as follow:

DF = DE + EF

DF = 9x – 39

DE = 47

EF = 3x + 10

DF = DE + EF

9x – 39 = 47 + 3x + 10

9x – 39 = 47 + 10 + 3x

9x – 39 = 57 + 3x

Collect like terms

9x – 3x = 57 + 39

6x = 96

Divide both side by 6

x = 96/6

x = 16

Finally, we shall determine the value of EF as follow:

EF =?

x = 16

EF = 3x + 10

EF = 3(16) + 10

EF = 48 + 10

EF = 58

5 0
3 years ago
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