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
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
Samples G and H were selected from the same population of quantitative data and the mean of each sample was determined. The mean of sample G is equal to the mean of the population. Which of the following statements must be true?
I. The mean of sample H must also be equal to the population mean.
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
a. I only
b. II only
c. III only
d. I and II
e. II and III
Answer: e. II and III
II. The mean of sample G, TG, is a point estimator for the mean of the population.
III. The mean of sample H, my, is a point estimator for the mean of the population.
Step-by-step explanation:
The point estimate simply means deriving a single value from a sample which could be used as a good or close estimate of the population from which the sample was drawn. A point estimator for the mean in the scenario above means a best guess of the mean value of the population from the sample mean.
Hence, since both sample G and H are drawn from the same population, both TG and TH which are mean of sample G and H can be used as a point estimator for the mean of the population.
However, it is does not necessarily mean that either the sample mean TG or TH must be equal to the population mean
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
What is the value of x in the equation below?
3(12x-24) = 16
A) 2
B) 6
C) 8
D) 10
ANSWER: B) 6
Answer:
3(12x - 24) = 16 (use the distributive property)
36x - 72 = 16 (add 72 to both sides to get the x-term alone)
36x = 88 (divide both sides by 36 to isolate x)
x = 2.4 (the four is repeating. that's the exact answer.)
I would say the answer is A because 2.4 is close to 2 than any of the other answers.
Step-by-step explanation:
I 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:
Wanna help a girl out
Answer: 3580.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
$80.5 is the right answer.
We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon
15-a=20 what value would make this true
Answer:
a = -5
Step-by-step explanation:
15 - a = 20
Move the constant of 15 to the other side by subtracting it.
-a = 5
Divide by -1 to make a positive.
a = -5
Check.
15 - (-5) = 20
15 + 5 = 20
20 = 20
Answer:
-5
Step-by-step explanation:
15-(-5)=20
5 turns into a positive
15+5=20
The density of silver is 10.49g/cm3. If a sample of pure silver has a volume of 12.993cm3, what is the mass?
Answer:
d X v = m
12.993 X 10.49 = 136.29657
Find the value of x.
Answer:
12
Step-by-step explanation:
The two unknown values of the triangle have to be the same.
Subtract 28 from 180 and you get 152
So each angle will be 76.
So now, 76 = -8 + 7x
Simplify and 84 = 7x
Now, x is equal to 12
Hope this helped! Please mark me as brainliest if you can!
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
Easy math (17 points))
Answer:
A-8.25 B-43.2 C-248.5
Step-by-step explanation:
Answer:
A-8.25
B-43.2
C-248.5
Step-by-step explanation:
A dealership pays $580 for each electronic unit and sells it for $940. What is the percent markup in the price of each unit
Answer:
62.06%
Step-by-step explanation:
Given that,
CP of an electronic unit = $580
SP of an electronic unit = $940
We need to find the percent markup in the price of each unit. It can be done as follows :
[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]
So, the required answer is 62.06%.
Riley doesn't want to wait that long before purchasing the refrigerator, so she decides to consider using
credit. After speaking with a store clerk, Riley learns that she qualifies for a special payment plan the
store offers. Why should Riley should consider the amount of interest associated with the payment
plan?
A. Interest decreased the cost of the new refrigerator
C.interest determines the amount of taxes Riley will Pat when she purchases the refrigerator
D.interest is the cost for borrowing money
70points!!!
Answer:
D.
Step-by-step explanation:
D is the best answer since you didn't provide a B. It's the one that makes the most sense.
Answer: I'm pretty sure it's C
Step-by-step explanation:
Most interest income is taxable as ordinary income on your federal tax return
Please only 10% of people are smart to answer this
Answer:
it's the one highlighted in orange
Step-by-step explanation:
I hope this helps with your question :)
Which of the following will result in a rational answer?
O multiplying by a fraction
O adding the square root of a non perfect square to a whole number
O adding the square root of a perfect square tox
O multiplying a fraction by a repeating decimal.
I think it is going to be number 4
Ajar of jelly beans contain 7 green, 6 white, 11 purple, 9 red and 12 yellow beans. What is the probability of selecting a purple or red jelly bean?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
Answer:
The answer to the question provided is 0.444.
Solve the question below, please
Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
Which method can be used to solve 11\times13?11×13?
The method that would be used to solve 11\times 13 is Multiplication So it would be: 11 x 13 which would equal to 143.
In math times means: Multiplication.
Need Answer Question Is In Photo.
Answer:
The correct answer would be bill
Step-by-step explanation:
Hope that's right! Hope it helps
Chu
Step-by-step explanation:[tex]\frac{x}{3}+4=7[/tex] (subtract 4 from both sides (4-4 and 4-7)
[tex]\frac{x}{3}=3\\[/tex] (multiply both sides by 3)
x=9
Find the distance d(P1,P2) between the given points P1 and P2 P1=(0,0) P2=(7,6)
Answer:
The distance of given two points
d( P₁, P₂) [tex]= \sqrt{85}[/tex] = 9.219
Step-by-step explanation:
Explanation:-
Given points are p₁ ( 0,0) and p₂ ( 7,6)
The distance formula of given points are
d = [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]
d = [tex]\sqrt{(7-0 )^{2} +(6 -0)^{2} } = \sqrt{49 +36}[/tex]
d = [tex]\sqrt{85}[/tex]
d [tex]= \sqrt{85}[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!
$4x-5$ is less than 25$
A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?
Answer:
$37
Step-by-step explanation:
Plan A: 4n + 3d = 467
Plan B: 5n + 4d = 593
4n + 3d = 467
4n = 467 - 3d
4n/4 = 467/4 - 3d/4
n = 116.75 - 3/4d
5n + 4d = 593
5(116.75 - 3/4d) + 4d = 593
583.75 - 3.75d + 4d = 593
0.25d = 593 - 583.75
0.25d = 9.25
0.25d/0.25 = 9.25/0.25
d = 37
find the surface area of the triangular prism help plzzz
Answer:
790 m^2
Step-by-step explanation:
well in the figure we have to areas
the rectangle of the side (2)the triangle (2)the rectangle of the base (1)the rectangle of the side
well the area of the rectangle is base times height
we have a base of 11 and a height of 17
[tex]A_{rs}=11*17\\\\A_{rs}=187[/tex]
the triangle
well the area of a triangle is base times height over 2
we have a base of 16 and a height of 15
[tex]A_t = \frac{16\cdot 15}{2}\\\\A_t= 8\cdot15\\\\A_t=120[/tex]
the rectangle of the base
we have a base of 16 and a height of 11
so
[tex]A_{rb} = 16\cdot 11\\\\A_{rb} = 176[/tex]
so the total area is
[tex]A_T = 2(A_{rs})+2(A_{t})+1(A_{rb})\\\\A_T= 2(187)+2(120)+1(176)\\\\A_T=374+240+176\\\\A_T = 790[/tex]
so that's our answer the surface area is 790 m^2
I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
--------------------------------------------------------------------------------------------------------------
Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
HELP I’m being timed!!!
Answer:
b
Step-by-step explanation:
cause it is
Answer:
84
Step-by-step explanation:
im not sure tho
What is 8^6 ÷8 simplified
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
_____Includes avoiding action,
avoiding blame, and avoiding
change
Select one
a. Ingratiation
b. Impression management
c. Defensive behaviour
d. Resource management
= Defensive behaviour
Step-by-step explanation:
defensive behaviour Includes avoiding action,
avoiding blame, and avoiding
change
60% of what number is 348?
Answer:
208
Step-by-step explanation:
this is what I did. 348×.6
60% of 580 is 348 is the answer you're looking for
If you divide .6 by 348 you get 580.
To check your answer, you can do .4 (40%) multiplied by 580 to get 232
232+348=250 which is 100%
find the scale factor from DEF to ABC
Answer:
³/2 (1.5)
Step-by-step explanation:
∆DEF was enlarged to get ∆ABC. The scale factor would be:
The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.
Thus,
BC:EF = 12:8
= 12/8
= 3/2 = 1.5
Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5