Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
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.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answer:
uh
Step-by-step explanation:
Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
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PLEASE HELP QUICK I NEED IT TO PASS TIMES ALMOST UP PLEASE HELP I WILL GIVE BRAINLIEST Write 5-8 sentences telling the story of this play. Use your Imagination, tell the story of the picture
Answer:
Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.
I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”
It’s probably a little bit more than 8 sentences and is not the greatest but is something
You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400
Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6
Answer: f(-3)=(-3)^2
f(-3)=9
the answer is C
Step-by-step explanation:
Solve the equation. Check your solution.
30) x/4 = 9
Answer:
x = 36
Step-by-step explanation:
x/4 = 9
multiply both sides by 4
x/4 (4) = 9(4)
x = 36
The answer is x = 36
We can check by plugging in x = 36 to the original equation:
x/4 = 9
(36)/4 = 9
9 = 9
Correct
find the interest and final payment. interest rate: 12%. previous balance: $4,800
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
help me please and answer correctly people answer wrong on purpose
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know
PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP
Answer:
18cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
But before that the x value is
x ÷ 8 = (x+2) ÷ 10
10x = 8x + 16
10x - 8x = 16
2x = 16
x = 8
Now as we know that
Area = base × height
= 2cm × 8cm
= 16cm²
Now for small triangle
Area = 1 ÷ 2(base)(height)
= 1 ÷ 2 × (2)(2)
=4 ÷ 2
A = 2cm²
Now the total area of the shaded region is
= 16cm^2 + 2cm^2
= 18cm^2
As part of a holf-marathon route, Charlie
ron 4.1 miles east then 9 miles south. How
for is he from his starting points
Answer:
He is 9.9 miles far from his starting point.
whats the answer to this please
bubuoin ba ng salita yan
An algebraic expression that contains three terms is called
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
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Help plz I will give brainliest
........................................................................................
Solve
........................................................................................
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
NEED HELP IN FINDING AREA
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
8,782 divided by 2 can you please explain me the process so i can do it
Answer:
4,391
Step-by-step explanation:
next time use a caculator luv <3
Answer:
4,391
Step-by-step explanation:
You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?
The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?
Answer: $6.96
Step-by-step explanation:
To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply that by $87
87*0.08 = 6.96
Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax
please help solving x
Answer:
x = -7
Step-by-step explanation:
m<MLP + m<PLK = m<MLK (angle addition postulate)
(x + 31) + (x + 147) = 164 (substitution)
Solve for x
x + 31 + x + 147 = 164
Add like terms
2x + 178 = 164
2x = 164 - 178
2x = -14
x = -14/2
x = -7
please help i am giving away brainliest
A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?
A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L
No dam links
Answer:
207,314
Step-by-step explanation:
V = πr2h =π · 52·3 ≈ 235.61945 m^3
because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.
235.62 - 27.535 is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.
i am so confused. not sure how to solve need step by step instruction to help please
given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)
Answer:
13
Step-by-step explanation:
Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.
-2(-5)+3=13
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what’s the answer in miles?
PLEASE HELP ME OMG!!!
Answer:
The vehicle can drive 450 miles.
Step-by-step explanation:
You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.
Answer:
450 miles
Step-by-step explanation:
By 20 gallons,the car travels 300 miles
by 1 gallon, car travels 300÷ 20 miles
By 30 Gallons, car travels: (300÷20 )×30
450miles
perimeter 254 meters and dimension measures 6 meters
Answer:
didn't even ask a question
Step-by-step explanation:
impossible to answer without a question