Answer:
a. 66.8%
b. 0.855
Step-by-step explanation:
In a recent survey in a Statistics class,
Percentage of students that attended class on Friday = 60%
Percentage of students that did not attend class on Friday = 100 - 60% = 40%
Percentage of those who went to class on Fridays and passed the course = 98%
Percentage of those who did not go to class on Fridays and passed the course = 20%
a. What percentage of students is expected to pass the course?
This is calculated as:
= 60% × 98% + 40% × 20%
= 0.668
Converting to percentage
= 0.668 × 100
= 66.8%
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
We solve using Baye's Theorem
= [60 × 98%]/[60% × 98% + 40% × 20%]
= 0.588 /0.688
= 0.8546511628
Approximately = 0.855
Part(a): The required pass percentage is 66.8%
Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]
Given that,
P(Friday) = 0.60, P(No Friday) = 0.40
[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]
Part(a): The percentage of students expected to pass the course is 0.668.
[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]
Part(b):
The probability that he/she attended classes on Fridays is 0.8802
[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]
Learn More:https://brainly.com/question/23485751
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
Answer:
yes 1:2
Step-by-step explanation:
Set up the ratio
Cylinder(1) = 6.4:3.2
Cylinder(2) = 4:2
Is 6.4/3.2 = 4/2?
12.8 = 12.8!
So yes.
On Tuesday Bob, Larry, and Joe studied for their Algebra test. Bob
studied for 12 minutes less than Larry, and Joe studied twice as long
as Bob. How many minutes did each student study if they studied a
total of 96 minutes?
Answer:
Bob- 33, Larry- 21, Joe- 42
Step-by-step explanation:
Set up the equation with x=the amount of time Larry spent studying. x+(x-12)+2(x-12)=96. Distribute and combine: 4x-36=96. Add 36 to both sides (4x=132), and then divide by 4 (x=33). Larry studied 33 minutes, subtract 12 to find Bob, and then double Bob's time to get Joe's study time.
I will give brainiest to whoever answers correctly !!
Answer
50%
Step-by-step explanation:
lmk if its right lol...
Answer:
it's 50%
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Answer:
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
Step-by-step explanation:
a/27 = -3.23
K/(1.2)= -0.07
54.6 = 4.2y
-7.2y = 61.2
Math rush please help
In which of the following expressions is 5 a coefficient?
5y + 42
19x + 4y + 5
O x² + 4x2
Ox+3+2x X
Answer:
The first one
Step-by-step explanation:
I hope this helps with your answer :)
Answer:
The first one, 5y +42
Step-by-step explanation:
A coefficient is a variable with a number multiplied to it. Ex. 3y
Only in the first one is 5 a coefficient.
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?
H+4.78=8.02 evaluate
Answer:
h=3.24
Step-by-step explanation:
The function P(d) = 1 + + gives the pressure, in atmospheres (atm), at a depth d feet in
the sea. Find and interpret P(59). Do not round your answer.
59
331
At a depth of 33 feet, the pressure is 59 atm.
b) 22; At a depth of feet, the pressure is 59 atm.
c) 39; At a depth of 59 feet, the pressure is atm.
d) 33; At a depth of 59 feet, the pressure is 3 atm.
Answer:
c) 39; At a depth of 59 feet, the pressure is atm.
(m−3+4n)⋅(−8) What is the answer
Answer:
The correct answer is,
[tex] - 8m + 24 - 32n[/tex]
A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?
Answer:
a. Probability is 50%
b. Picking either a heart or spade is mutually exclusive
Step-by-step explanation:
There are 52 cards in a deck of cards.
Of those 52, 13 are hearts and 13 are spades.
The probability of picking wither of them is therefore:
= (13 + 13) / 52
= 26/52
= 50%
Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.
34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14
Which is rational and irroational
Answer:
1. Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
Step-by-step explanation:
I am not 100% this is correct, but I tried my best
Hope this helps!
~PurpleMist
please help asap!!!!!!!!!
Answer:
Z=25
Step-by-step explanation:
Angle C and D are Supplementary so
3z-15+7z-55=180
10z-70=180
10z=250
z=25
Write an equation in the first box (use x as your variable). Then, solve (in second box).
Answer: 3.2x = 48
Step-by-step explanation: So that means x = 15.
You buy a watch that cost $45.50. The tax on the watch is 7.5%. What is the final cost of the watch? *
1 point
$3.41
$53.00
$42.09
$48.91
Answer:
$48.91
Step-by-step explanation:
$45.50 * 1.075 or 7.5% = $48.91
solve using the order of operations 5 x (2+4) -52
Answer:
-22
Step-by-step explanation:
Order of Operations:
Parenthesis
Exponents
Multiplication and Division
Addition and Subtraction
First, you need to do parenthesis first so inside the parenthesis is 2+4 which is 6
Now the equation looks like this:
5 x 6-52
Since there are no exponents we can skip that step, next is multiplication so 5 x 6 is 30 so the equation now looks like this:
30-52
Subtract and you will have
-22
Hope this helps!
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
Help me please. It means a lot
Answer: Jonny makes $15 per hour working at Target. He gets a bonus at the end of the month for $85. This month, he made a total of $685. Write an equation to show how many hours he worked
Step-by-step explanation:
1 is 51
2 is 34
3 is 95
5 is 47
6 is 74
7 is 59
Ok that should be right if I didn't mix anything up!
Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the other. If they meet in 2 hours, what is the rate of each bus?
Answer:
The faster bus moves at 83mi/h and the slower one moves at 69mi/h.
Step-by-step explanation:
Let's define:
R₁ = rate of bus 1, this is the faster one.
R₂ = rate of bus 2, this is the slower one.
We know that one bus travels 14mi/h slower, then:
R₂ = R₁ - 14mi/h.
Now we know that:
Distance = Speed*Time.
If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:
R₁*2h + R₂*2h = 304 mi
Then we have the two equations:
R₂ = R₁ - 14mi/h
R₁*2h + R₂*2h = 304 mi
The first step is to replace the first equation in the second one, to get:
R₁*2h + (R₁ - 14mi/h)*2h = 304 mi
And now we can solve this for R₁.
R₁*2h + R₁*2h - 14mi/h*2h = 304 mi
R₁*4h - 28mi = 304mi
R₁*4h = 304mi + 28mi = 332mi
R₁ = 332mi/4h = 83mi/h
The faster bus moves at 83mi/h
And we know that the slower one moves at 14mi/h slower than this, then:
R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h
A cash register contains $10 bills and $50 bills with a total value of $1080. If there are 28 bills total, then how many of each does the register contain?
Answer:
20 $50 bills
8 $10 bills
Step-by-step explanation:
Find how many $10 and $50 bills are in the cash register.
Make a systems of equations:
t = Amount of $10 bills
f = Amount of $50 bills
10t + 50f = 1080
t + f = 28
Lets solve for $50 bills first:
10t + 50f = 1080
-10(t + f = 28) = -10t - 10f = -280
----------------------
Solve for f:
10t + 50f = 1080
-10t - 10f = -280
40f = 800
Divide both sides by 40.
f = 20
There are 20 $50 bills.
Now we need to find how many $10 bills are in the register.
Plug in 20 to "f" in one of the equations and solve for "t".
Solve:
t + 20 = 28
Subtract 20 from both sides.
t = 8
There are 8 $10 bills.
Your answer should be:
20 $50 bills
8 $10 bills
14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
Write an equivalent expression for each the following:
a. x + x + x+ 2x + x =
b. (x + 2) (x + 2) =
c. y + y + y + y + 10 + y + 1 =
What is an imaginary number?
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by it's property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and it's square is −25.
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
The Stanford Times had 2,700 subscribers last year.This year, after the paper was bought out, it had 17% more. How many subscribers were there this year?
17% of 2700=459
17% more= 2700+459
Subscribers this time=3,159
please help asap!!!!!!!
Answer:
c = 20
Step-by-step explanation:
Given that,
A rectangle PQRS,
QT = c and ST = 4c-60
We need to find the value of c.
We know that the diagonals of a rectangle bisect each other such that,
QT = ST
Putting values,
c = 4c - 60
Taking like terms together,
60 = 4c - c
60 = 3c
c = 20
Hence, the value of c is 20.
An artist can create 4 pieces of pottery in 2 hours. What’s the artist’s unit rate?
a machine fills boxes at a constant rate at the end of 35 minutes it has filled 5 boxes which table represents the relationship between the number of minutes the minutes fills boxes and the number of boxes it has filled.
Answer:
well you see the times go up by whatever the first number is so solve it that way
Step-by-step explanation:
Bebe's Bakery can bake 175 loaves of bread in 5 hours as shown on the double number line diagram below. 5 Number of Hours Loaves of Bread 175 At that rate, how many loaves of bread can Bebe's Bakery bake in 8 hours? A. 35 loaves B. 240 loaves C. 280 loaves D. 350 loaves
Answer:
double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves
Step-by-step explanation:
In 1999 the student enrollment at a college was 13% more than it was in 1998 if the enrollment was 12,204 in 2000 which was 8% more than 1999 find the enrollment in 1998
Answer:
10,000
Step-by-step explanation: