A two-way frequency table shows grades for students in college and students in high school: high school college total gpa above 3.0 14 26 40 gpa below 3.0 46 14 60 60 40 100 based on this data, are "being in high school" and "gpa above 3.0" independent events? yes, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) = p(high school) ⋅ p(gpa above 3.0) yes, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0) no, p(high school ∩ gpa above 3.0) ≠ p(high school) ⋅ p(gpa above 3.0)
Answers
Based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
What is conditional probability?The conditional probability is the happening of an event, when the probability of occurring of other event is given.
A two-way frequency table shows grades for students in college and students in high school.
Let H represent being in high school and G represent the GPA above 3.0. To be an independent event, they must be,
[tex]P(H|G)=P(H)[/tex]
The conditional probability of event H, given that the G is occurred, can be calculated as,
[tex]P(H|G)=\dfrac{14}{40}\\P(H|G)=0.35[/tex]
Total students below 3.0 GPA are 60 and the total number of student are 100. Thus, the probability of being in high school is
[tex]P(H)=\dfrac{60}{100}\\P(H)=0.6[/tex]
Here, conditional probability [tex]P(H|G)[/tex] is not equal to the probability of being in high school.
Hence, based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.
Learn more about the probability here;
https://brainly.com/question/24756209
Related Questions
What is the sum of all the positive integers from
√
24
to
√
102
?
Answers
Answer:
The sum of all positive integers is
5 + 6 + 7 + 8 + 9 + 10
= 45
Step-by-step explanation:
Because [tex]\sqrt{24} = 4.89[/tex] and [tex]\sqrt{102} = 10.09[/tex]
So positive numbers between 4.9 and 10.09 are
5+6+7+8+9+10 = 45
Brainliest will be appreciated.
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Step-by-step explanation: sorry if wrong
What are the x- intercept and the y-intercept of the graph of 6x + 15y = -30?
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Answer:
x int: -5
y int: -2
Step-by-step explanation:
Plug in 0 for x to find y intercept. 6(0) + 15y = -30 then you would get 15y = -30. Divide by 15 on both sides. y = -2
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A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.
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Answer: 200ft
half
Step-by-step explanation for the question i don't know: I don't have the true answer but would it be half...? nvm lol
Answer:
[tex]\huge\boxed{\frac{44}{9} \ \text{feet}}[/tex]
Step-by-step explanation:
If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.
Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as [tex]\frac{\text{original}}{\text{shadow}}[/tex].
[tex]\frac{54}{48}=\frac{5.5}{x}[/tex]
We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.
We can solve for x by cross multiplying.
[tex]48 \cdot 5.5=264[/tex]
[tex]264 \div 54 = \frac{264}{54}[/tex]
We can simplify this fraction by dividing the numerator/denominator by 6.
[tex]264 \div 6 = 44\\54\div6=9[/tex]
[tex]\frac{44}{9}[/tex]
So Mindy's shadow is [tex]\frac{44}{9}[/tex] feet long.
Hope this helped!
Fluency:
Solve the equation
x + 24= 36 x=?
Answers
Answer:
x=12
Step-by-step explanation:
36-24=12
A car salesman earned $22 an hour and a commission of 3.3% on sales. Find his total earnings in a week when he worked 38 hours and had 65,800 in sales
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Answer:
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Step-by-step explanation:
(x - 3y)(2x + 7y)
What is the answer?
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Answer:
Your answer is: 2x^2+xy-21y^2
Step-by-step explanation:
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how do you explain division in an easy way?
Answers
y= -x + 1 and y= 2/3x - 4 What is the solution to the system of equations?
Answers
Answer:
x=3 /
steps: (For x)
Turn the equation into --> -x+1 = 2/3x-4
Next is the multiply the equation by 3 to make isolating x easier so it becomes --> -3x+3=2x-12
Now arrange the terms to where variables are on a side and constants are on a side
it should look like --> -3×-2x=-12-3
Now combine like terms --> -5x=-15
finally just divide by -5 on both sides
x=3
For y:
substitute X for either of the equations
y=2/3 x 3-4
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The solution is (3,-2)
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A). Y < 7
B). Y > 7
C). Y > -7
D). Y < -7
Answers
Answer:
C) Y > -7
-Y < 7 given
0 < 7 + Y add Y to both sides
-7 < Y subtract 7 from both sides
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Answers
Answer:
-23
Step-by-step explanation:
Common difference = 2nd term - 1 st term
= -8 - (-3)
= -8 + 3
= -5
To get the next term add (-5) to the previous term
5th term = (-18) + ( (-5) = -23
Decrease #40.00 by 5%
Answers
Answer:
Step-by-step explanation:
its 38
After reducing the given number 40.00 by 5%, the reduced number is, 38
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The number, 40.00
After reducing it by 5% = ?
5 = (x/40)×100
x = 2
5% of 40 is 2,
So subtracting it from 40
After decreasing it by 5%
The number = 40-2
= 38
Hence, the number is 38
To know more about Percentage check:
https://brainly.com/question/29306119
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The measure of the angles of a triangle are shown in the figure below . Solve for x
Answers
Answer:
x = 49°
Step-by-step explanation:
Hello! The sum of all angles in a triangle is 180°
64 + 67 = 131
180 - 131 will give you x
180 - 131 = 49° = x
If you need further explanation, let me know!
- profparis
Drew Swanson is an insurance appraiser who earns $48,650 a
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Answers
Answer:
3.671%
Step-by-step explanation:
[tex]\frac{1786}{48650}[/tex] x 100 =3.671
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Answers
A definition for insensitive
Answers
From the word itself thrives of being not sensitive
Which actually means heartless
Full definition: showing no concern for others
hope I helped :3
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Answers
Explanation:
this is using the pythagorean theorem: a^2 + b^2 = c^2. c is always the hypotenuse (longest side) of the triangle.
so plugging in the numbers: 9^2 + 6^2 = c^2.
solving: 81 + 36 = c^2
117 = c^2
now to solve for c^2, we can take the square root of both sides: sqrt(117) = c
to simplify the square root, we can factor it. 117 can be divided into 13 * 9. (I just tried numbers given in the options)
so c = sqrt(13 * 9)
9 can be factored into 3 * 3
c = sqrt(13 * 3 * 3)
since we have two 3’s, that can be taken out of the square root to get:
c = 3*sqrt(13)
work through these two problems 1)7-?=3.4567 and 2)6.9999-?=3.4567
how can problem 2 help you solve problems1?
Answers
Answer:
Give students up to 1 minute to think about the first question and then ask them to ... The first two problems aim to help students
Step-by-step explanation:
In parallelogram EFGH, what is the relationship between angle e and angle f?
e° = f°
e° + f° = 180°
e° = -f°
e° - f° = 180°
Answers
Answer:
=> e° + f° = 180°
Step-by-step explanation:
we know. that this is a parallelogram .
e° + f° = 180° { because they are adjacent angle and the sum of adjacent angles in a parallelogram is 180°}
Answer:the answer is e° + f° = 180°
Step-by-step explanation:
I got it right
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Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The ratio of girls to students is choice c, 34:72 because it said girls to students. We already know the total number of students and the number of boys, all we have to do now is subtract the total number of students to the number of boys to get the number of girls, 72 - 38 = 34......and that's it we put the number of girls then the number of students.
2 Mrs. Scott purchased pizzas for her homeroom
students for winning the door decorating contest.
She purchased 3 pizzas and spent a total of $29.85.
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Answers
Answer:
9.95 per pizza
Step-by-step explanation:
i googled it :)
Answer:
9.95 per pizza
Step-by-step explanation:
just divid it
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Answers
4/15 + 1/9 = 12/45 + 5/45 = 17/45
the cost price of a box and a pen is rupees 80 the box is sold at 10% profit and the pen is sold at 10% loss if the selling price of the box is rupees 28 more than that of the pen calculate the profit or loss percent in the whole
Answers
2.5%
Step-by-step explanation:[tex]if\ the\ art-rice\ of\ pen\ is\ x\\ so\ the\ toux\ is\ 8v-x\\ then\ (80-x)\bullet1\bullet1-a9\bulletx=28\\ so\ x=30.\\ So\ the\ selling\ price\ of\ box\ is\ RS.5\\ the\ selling\ price\ of\ pen\ is\ R527\\ R55+R_27=R8.2\\ so\ profit\ percent=\frac{R882-R830}{280-}\times100\ percent=2.5\ percent\\ (figure\ out\ their\ individual\ oosts)[/tex]
I hope this helps you
:)
Two fifth of a certain number is 30 what is the number?
Answers
- - - - - - - - - - - - - - - - - - - - - - - -
Beginning with an "If-then" statement ⇣
If 2/5 = 30 then 1/5 = 15
Now we have 1/5, let's make it 1 by multiplying x5.
15 x 5 = 75
- - - - - - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
if f(x)=1/2x-12 find f(-12)
Answers
Answer:
f(-12)=-18
Step-by-step explanation:
since we are replacing the x for -12 that means we will have the equation f(-12)=1/2(-12)-12 which would give us f(-12)=-6-12 which would equal -18 so the answer for f(-12) is -18
x²-x is divisible by 2
Answers
Answer:
3
Step-by-step explanation:
2²-2÷2
4-2÷2
=3
hope this helps
What is the result of x + 2x - 6 = 21?
Answers
Answer:
9
Step-by-step explanation:
x + 2x - 6 = 21
3x - 6 = 21 /+6
3x = 27 /:3
x = 9
Answer:
x = 9
Step-by-step explanation:
Hope that helps!
For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup
Answers
Answer:
a) 2/3
b) 80 cups
c) 1/3
d) 40 cups
Step-by-step explanation:
Fraction of a full dispenser = 1
a. About what fraction of the cup is filled with liquid
= 1 - 1/3
= 2/3
b. About how many cups of liqiud are in the dispenser
We have 120 cups.of liquid that the dispenser contains
Hence,
= 2/3 × 120
= 2 × 40
= 80 cups
c. About what fraction of the dispenser is empty
= 1 - Fraction of liquid currently in the dispenser
= 1 - 2/3
= 1/3
d. About how many more cups of liquid does it take to fill the cup
= 1/3 × 120
= 40 cups
It will take 40 cups to fill the dispenser