Answer:
90% probability that a student who receives an A in statistics will also receive an A in calculus
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: A in statistics.
Event B: A is calculus
Twenty percent of students in a statistics course receive A’s.
This means that [tex]P(A) = 0.2[/tex]
Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.
Thirty percent of students in a calculus class receive an A.
This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]
What is the probability that a student who receives an A in statistics will also receive an A in calculus?
[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]
90% probability that a student who receives an A in statistics will also receive an A in calculus
Karla has 3 gallons of paint. Bryant has 10 quarts of paint. How many more pints of paint does Karla have than Bryant?
Answer: 4
Step-by-step explanation:
First you need to convert to pints.
Your conversion factors are:
1 gallon = 8 pints
1 quart = 2 pints
[tex]3gallons(\frac{8pints}{1gallon}) =24pints[/tex]
[tex]10quarts(\frac{2 pints}{1quart})=20pints[/tex]
To find the difference, subtract.
24-20=4
What is the volume of a sphere with radius 9? Round to the tenths.
Answer:
V=3053.6
Step-by-step explanation:
Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth and most die before their first birthday. T18 occurs in only 1 in 2500 pregnancies in the U.S. A genetic test on the mother's blood can be done to test for T18 in her baby. The overall probability of a positive test result is 0.010384. The probability of a positive test result for a baby with T18 is 0.97. The probability of a negative test result for a baby without T18 is 0.99. A mother's blood tests positive for T18. What is the probability that her baby has T18
Answer:
3.74% probability that her baby has T18
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: The baby having T18.
T18 occurs in only 1 in 2500 pregnancies in the U.S.
This means that [tex]P(B) = \frac{1}{2500} = 0.0004[/tex]
The probability of a positive test result for a baby with T18 is 0.97.
This means that [tex]P(A|B) = 0.97[/tex]
The overall probability of a positive test result is 0.010384.
This means that [tex]P(A) = 0.010384[/tex]
What is the probability that her baby has T18
[tex]P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374[/tex]
3.74% probability that her baby has T18
where is the point (0, –4) located
4 points below the origin
If the fish tanks dimension are 60 by 15 by 34 and its is completely empty, what volume of water is needed to fill three fourths of the aquarium? Please help
Answer:
22,950 units³
Step-by-step explanation:
All you have to do is:
[tex]\frac{3}{4} *60*15*34=\\45*15*34=\\675*34=\\\\22,950[/tex]
Solve Y/5.6 = 12 for y
Answer:
y = 67.19
Step-by-step explanation:
y/5.6 = 12
=> y = 12(5.6)
=> y = 67.19
What number is 4 time another. The sum of the reciprocals is 15/4. find the numbers
Answer:
3/4 , 3
Step-by-step explanation:
Let one number = x
Other = 4x
Sum:
x + 4x = 15/4
5x = 15/4
x = 3/4
Thus the numbers are 3/4 , 3
please help Jacqueline is a teacher in Alaska, where she contributes 9% of her earnings to her pension. If her earnings for a school year were $42,000, what did she contribute to her pension?
a.) $3,250
b.) $3,560
c.) $3,780
d.) $3,890
will give brainliest
Answer:
c.) $3,780
Step-by-step explanation:
9/100 × $42,000
= 9 × $420
= $3,780
Use the Pythagorean theorem and the square root property to solve the following problem . Express your answer in simplified radical form . Then find the decimal approximation to the nearest tenth . A rectangular park is 10 miles long and 5 miles wide . How long is a pedestrian route that runs diagonally across the park
Answer:
square root of 125 rounded to 11.2 milies to the nearest tenth
The equation of a circle is (x−2) 2 + (y−6) 2 =64 . What is the center and radius of the circle?
Answer:
The center is (2,6) and the radius is 8
Step-by-step explanation:
The answer is center: (2,6); radius: 8
a line is perpendicular to y=-4x-2 and intersects the point (0,9). what is the equation for this perpendicular line?
Answer:
y=(1/4)x + 9 OR y=x/4 +9
Step-by-step explanation:
Perpendicular lines have a slope/gradient of -1/n
Because the slope of this line is -4, the slope of a line perpendicular to it would be 1/4.
y=(1/4)x+b
(0,9) is the y-intercept, so b = 9
y=(1/4)x + 9 OR y=x/4 +9
A box below needs to be painted.
How many square inches of paint will be needed to cover the entire surface?
A
80/12 in2
B
61/9 in2
C
49/5 in2
D
77/55 in2
Answer: c
Step-by-step explanation:
Answer:B
Step-by-step explanation:
what are the steps for using integar tiles to evaluate the expression 45 divided by 15
Answer:
1. Gather 45 tiles
2. Split them up into groups of 15. Your answer will be the amount of piles you end up with. Hope this helps!
I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Molly's street is perpendicular to both's street and is thus making an angle of 90°
divide write the quotient in lowest terms5 2/3 divided by 4
Answer:
1 83/200
Step-by-step explanation:
You need to make the 2/3 a decimal which is 0.66 repeating. Then you do 5.66 divided by 4 which equals 1.415 then you need to simplify.
Hope this helps.
Steve believes that it takes more meters than centimeters to measure the length of his desk. It is right?
Answer:
No he is not right because his desk is not that big, and with centimeters it's possible because the centimeters are like more little
answer : D
How many solutions does the equation -2a + 2a + 7 = 8 have
Step-by-step explanation:
-2a + 2a + 7 = 8
Solving like terms
7 = 8
= 8 - 7 = 1
Has one solution
what is 4.156 - 0.34 in Simplify the following expression.
Answer:
3.816
Step-by-step explanation:
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
hope this helps!!
The given expressions 4.156 - 0.34 simplified form is 3.816.
We have given,
4.156 - 0.34
We have to determine the subtraction
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol -
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
The given expressions 4.156 - 0.34 simplified form is 3.816.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
Dungeon and Dragons (old popular boardgame) uses a twenty-sided number cube (die), what is the probability that you will roll an even or an odd prime number? The number 1 isn’t an odd prime. Round to three decimals.
Answer:
P(even or odd prime) = 0.85
There is 85% probability of rolling an even number or odd prime number.
Step-by-step explanation:
We are given a twenty-sided die which means it has faces from 1 to 20, so that means the total number of outcomes are 20.
We are asked to find the probability of rolling an even number or odd prime number.
We know that probability is given by
P = Number of desired outcomes/Total number of outcomes
Let us first count the number of desired outcomes.
In the range of 1 to 20 we have following even numbers,
2, 4, 6, 8, 10, 12, 14, 16, 18, 20 (10 outcomes)
P(even) = 10/20
P(even) = 0.50
In the range of 1 to 20 we have following odd prime numbers,
3, 5, 7, 11, 13, 17, 19 (7 outcomes)
P(odd prime) = 7/20
P(odd prime) = 0.35
So the required probability is
P(even or odd prime) = 10/20 + 7/20
P(even or odd prime) = 0.50 + 0.35
P(even or odd prime) = 0.85
Therefore, there is 85% probability of rolling an even number or odd prime number.
Note: Since we are asked to find the probability of rolling an even number or odd prime number, that's why we have added the probabilities of these two events.
OR corresponds to addition of probabilities
AND corresponds to multiplication of probabilities
f(x)=-9x^2-2x and g(x)=-3x^2+6x-9, find (f-g)(x) and (f-g)(-4)
Answer:
(f - g)(x)= - 6 {x}^{2} - 8x + 9
(f - g)(-4!)= - 55
Step-by-step explanation:
[tex]f(x) = - 9 {x}^{2} - 2x, \: \: g(x) = - 3 {x}^{2} + 6x - 9 \\ (f - g)(x) = f(x) - g(x) \\ = - 9 {x}^{2} - 2x - (- 3 {x}^{2} + 6x - 9) \\ = - 9 {x}^{2} - 2x + 3 {x}^{2} - 6x + 9 \\ \purple{ \boxed{ \bold{(f - g)(x)= - 6 {x}^{2} - 8x + 9}}} \\ (f - g)( - 4)= - 6 {( -4 )}^{2} - 8( - 4) + 9 \\ = - 6 \times 16 + 32 + 9 \\ = - 96 + 41 \\ \red{ \boxed{ \bold{(f - g)( - 4)= - 55}}}[/tex]
Anyone knows the answer?
Answer:
E
Step-by-step explanation:
so you put the square root of 10 and then it will give you a decimal
Answer:
F
Step-by-step explanation:
when you put in 10 you get
3.16227766017 to the nearest number is 3.2
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Answer: -13
Step-by-step explanation:
-9 plus -4 equals -13
Answer:-13 I just know.
Step-by-step explanation:
Describe each pattern formed. Find the next three terms. 4,8,16,32
Answer:
The pattern is multiplying by 2.
Next three terms: 64,128,256
Step-by-step explanation:
4,8,16,32
To get from 4 to 8 we can multiply by 2.
To get from 8 to 16 we can multiply by 2.
To get from 16 to 32 we can multiply by 2.
So the pattern is multiplying by 2.
To find the next three terms:
32*2=64
64*2=128
128*2=256
A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)
(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)
(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction)
Answer:
The answer is A
Step-by-step explanation:
Edg : )
Answer:
A
Step-by-step explanation:
The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the nearest hundredth of an inch? A.100.49 inchesC.50.24 inchesB.89.03 inchesD.25.12 inches
Answer:
C. 50.24 inches
Step-by-step explanation:
The area of a circle can be represented by [tex]\pi r^{2}[/tex]. To find the circumference, all we need to do is know the radius, and then we can plug that value into the circumference formula [tex]2\pi r[/tex]. So, to find the radius we see that:
[tex]\pi r^{2} = 201[/tex]
[tex]r = \sqrt{\frac{201}{\pi } }[/tex]
So, the circumference is:
[tex]2\pi (\sqrt{\frac{201}{\pi } })[/tex], which is closest to the answer C) 50.24 inches.
Hope this helped! :)
2. Heather made 35
cookies for a party. Ted
made 30 cookies. At
the party 47 cookies
were eaten. How many
cookies are left?
Answer:
18
Step-by-step explanation:
The total number of cookies that were made
35+30 = 65
The cookies that were eaten is 47
65-47 =18
There were 18 cookies left
Answer:
$18
Step-by-step explanation:
35+30=65
65-47=18
Not sure on how to do these questions
Answer:f(8)=g(8)
Step-by-step explanation:
So in these problems f(8) means that you look at the f(x) function (function 1) and plug in 8 for x. Then since it says g(8), you look at the g(x) function and substitute x for 8. If we do that, f(x)=2(8)-3 which is 13. g(x)=3/2x+1=13. The two of them are equal when x=8. So the answer is the third choice
Answer:
f(8)=g(8)
Step-by-step explanation:
Just put the values of given functions in the equation
Can you send the integers worksheet question and answer for 6th grade
Two datasets arranged in descending order are: {8, x, 4,1) and (9. y, 5,2). If the medians of
the two given datasets are equal, what is the value of (y – x)??
Answer
Answer:
Legon fo)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dataset 1 (in increasing order)
{1, 4, x, 8}
Dataset 2 (in increasing order)
{2, 5, y, 9}
Median of dataset 1
[4 + x] / [2]
Median of dataset 2
[5 + y] / [2]
since the medians of the two given sets of data are the same,
=> [4 + x] / [2] = [5 + y] / [2]
=> 2(5 + y) = 2(4 + x)
=> 10 + 2y = 8 + 2x
=> 2y - 2x = 8 - 10
=> 2y - 2x = - 2
=> 2(y - x) = - 2
=> [2(y - x)] / [2] = [- 2] / [2]
denominators and numerators cancel out
=> (y - x) = - 1
Therefore, (y - x) ² = (-1)²
=> (y - x) ² = 1
