Answer:
18c-30d+36
Step-by-step explanation:
6(3c-5d+6)
= 6(3c)-6(5d)+6(6)
= 18c-30d+36
g(n) = 4n
f(n) = 4n + 2
Find g(f(n))
Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
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.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
5m=105 what is m in the equation
Answer:
m = 105 / 5 = 21
Step-by-step explanation:
You know the two legs of a right triangle. You also know the measure of one of the acute angles of the triangle. Could you use the given law or theorem to find the length of the hypotenuse? Select Yes or No for A-C.
A. Law of Sines (YES OR NO )
B. Law of Cosines (YES OR NO )
C. Pythagorean Theorem (YES OR NO )
Answer:
A (NO) B(YES) C(YES)
Step-by-step explanation:
Law of sines is used to find the measurements of angles not sides. Law of cosines is used for the sides. And pythagorean theorum should be obvious as it is based on the sides of a right triangle.
Question 4
2 pts
At noon, a barista notices that she has $30 in her tip jar. If she makes an average of $0.45
from each customer, how much will she have in her tip jar if she serves n customers during
her shift?
(equation)
How much will she make if she serves 134 customers?
How many customers did she serve by noon?
Answer:
a [tex]A = 30 + 0.45 n[/tex]
b [tex]A = 90.3[/tex]
c 0 customers
Step-by-step explanation:
Given
[tex]Base\ Amount = 30[/tex]
[tex]Rate = 0.45[/tex] per customer
Solving (a): Amount (A) on n customers
This is calculated as:
[tex]A = Base\ Amount + Rate * n[/tex]
[tex]A = 30 + 0.45 * n[/tex]
[tex]A = 30 + 0.45 n[/tex]
Solving (b): Amount on 134 customers
In this case: n = 134
So:
[tex]A = 30 + 0.45 * 134[/tex]
[tex]A = 30 + 60.3[/tex]
[tex]A = 90.3[/tex]
Solving (c): Customers at noon.
At noon, the amount is 30.
So:
[tex]A = 30 + 0.45 n[/tex]
[tex]30 = 30 + 0.45n[/tex]
Collect like terms
[tex]0.45n = 30 - 30[/tex]
[tex]0.45n =0[/tex]
[tex]n = 0[/tex]
In a choir, the ratio of men to women is 4:3
The ratio of women to children is 5:9
What is the ratio of men to children?
Answer:
4:9
Step-by-step explanation:
There's 4 of men and 9 to children and 5 of women
What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answer:
Step-by-step explanation:
y+4 = 3(x-2)
I need help Estimate 81/4 but into a number
les What is the area of the triangle?
Answer:
48 cm² is the correct answer.
what is the answer to y=-2/3+b
Answer:
it is B
Step-by-step explanation:
Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.
Answer:
yep true
Step-by-step explanation:
facts u know what u talking bout
Help meeeeeeeeeeeeeeeeeeeeee
Answer:
The equation model for the transformed graph f(x) = -5×+ 3 -6.
sooo like I need some help?
Answer:
11?
Step-by-step explanation:
The missing side is 4 so 4+4+3=11.. Maybe?
Answer:
4^2 +3^2 =5^2
=25
Step-by-step explanation:
Pythagorean Theorem.
10
8
6
Distance (mi)
4
2.
o
20 30 40 50
Time (min)
The graph above shows Tomasso's rate
while jogging. Which of the following is an
ordered pair on the graph?
A (10, 1)
B (15, 3)
C (30,5)
Answer:
the answer should be A as thats what its showing on the graph
Describe an animal adaptation and explain how it helps survival.
Answer and Step-by-step explanation:
Animal adaption for Birds.
Birds who live on a tropical island with large, hard shell nuts.
The birds have small beaks, but over time, their beaks become bigger, stronger, and sharper, so that it can break into the hard shell nuts, allowing them to eat the nuts.
#teamtrees #WAP (Water And Plant)
1/3log125/8-2log2/5+log80/125
Answer:
1
Step-by-step explanation:
⅓Log₁₀(125/8) – 2Log₁₀(2/5) + Log₁₀(80/125)
The above expression can be simplified as follow:
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
Recall:
a LogM = Log Mᵃ
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= Log(125/8)¹/³ – Log(2/5)² + Log(80/125)
= Log(5/2) – Log(4/25) + Log(16/25)
Recall:
Log M – Log N = Log M/N
Log(5/2) – Log(4/25) = Log (5/2 ÷ 4/25)
Log(5/2) – Log(4/25) = Log (5/2 × 25/4)
Log(5/2) – Log(4/25) = Log (125/8)
Therefore,
Log(5/2) – Log(4/25) + Log(16/25)
= Log (125/8) + Log(16/25)
Recall:
Log M + Log N = Log MN
Log (125/8) + Log(16/25)
= Log (125/8 × 16/25)
= Log 10
= Log₁₀10 = 1
Therefore,
⅓Log(125/8) – 2Log(2/5) + Log(80/125)
= 1
Juan spent 1 1/2 hours working on a project on Monday, 2 hours on Tuesday, and 2 3/4 hours on Thursday. How many hours did it take him to finish the project?
Answer:
Monday hours + Thursday hours = Total hours
1 1/2 + 2 3/4 = 3 + (? how do you add 1/2+3/4)
Now, you could convert to all improper fractions:
3/2 + 11/4
6/4 + 11/4 [4 is the Least Common Multiple of 2 and 4]
17/4
4 1/4 [then back to mixed numbers]
Or. you could add 1+2=3
and 1/2 + 3/4
2/4 + 3/4
5/4
1 1/4 [convert to mixed number]
3 + 1 1/4 = 4 1/4 [remember to add the 3]
Step-by-step explanation:
what is X please help 5x - 13.75 = 20
Answer:
X= 1.25
13.75 + 5= 18.75
20 - 18.75= 1.25 OR 1.25 + 18.75 = 20
Step-by-step explanation:
Use A=Pe^rt to solve
Find the accumulated value of an investment of $3000 at 4% compounded annually for 12 years.
A) $4618.36
B) $4320.00
C) $4440.00
D) $4803.10
Answer:
a
Step-by-step explanation:
I need some help with this
Answer:
8
Step-by-step explanation:
Side 2. What is the sogel
What is the slope between the
points (2, 150) and (5,375)?
Answer:
75
Step-by-step explanation:
Use the slope formula (rise/run):
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(375 - 150)/(5-2) = 225/3 = 75
Can someone help me with these two one step equations? I will give brilliant
Answer:
1.) p = 88.66
2.) m = 17
Step-by-step explanation:
1.) p - 23.76 = 64.9
p - 23.76 + 23.76 = 64.9 + 23.76
p = 88.66
2.) m + 78 = 95
m + 78 - 78 = 95 - 78
m = 17
Hope this helps and stay safe, happy, and healthy, thank you :) !!
if you need extra points (50 points) and brainiest answer this correctly plz
Answer:
D) 500 square feet
Step-by-step explanation:
20x40=800
30x10=300
800-300=500
Answer:
500 square feet
Step-by-step explanation:
Walk way A=bh
A=40 times 20
A=800
garden
A=30 times 10
A=300
Now subtract walkway from the garden. 800 - 300= 500
Take a look at the picture. Please write your explanation.
Answer:
number of fourths in 3, 3÷ 1/4
Step-by-step explanation:
It shows 3 split up into fourths, 3÷ 1/4 equals 12 which is the amount of sections there are
Can you please explain Number 7 with steps
Answer:
this is not exact because i Estimated the square root of 33
Step-by-step explanation:
anime recommendations
Answer:
what genre babe♀️
Answer:
It depends on a lot what kind you like and if u have watched a lot
the promised Neverland
Black Clover
Aot
HxH
Monster
Code grass
The classroom of the elite
Psycho pass season 1 only
COMEDY
The disastrous life of saiki k
Kaguya sama love is war
This is a math riddle for pi day I can’t understand. There was one with the pi symbol in a pumpkin so it was obviously pumpkin pie, so what would this one be? Any ideas?
Answer:
This is the math riddle for pi..
Step-by-step explanation:
They mean by this question, What do you get if you divide the circumference of a pumpkin pie by its diameter?
Pi is the ratio of circumference and the diameter. and people want to understand why pi =3.14. ... very long explanation. This will be college level to understand these math.
We don’t really need the diagram at this stage of course.
The internal angle is 180o−360o / 24=180o−15o =1 65o . Half of this is 82.5o . The perimeter is now 24x so we have:
24 x /h = 24 / tan(82.5o) Rather remarkably:
So tan(82.5o) =√+2 + √+3+√+4+√+6
24 x / h = 24 / ( √+2 + √+3+√+4+√+6 ≈3 .1596599421
Taking a few more steps:...very long detail explanation.
A radio station plays 3 commercials for every 8 songs it plays. If they played 72 songs during the morning segment, how many commercials did they play?
Answer:
27
Step-by-step explanation:
marbles numbered from 1 to 12 are put in a bag. if marbles are not put back into the bag after being drawn, what is the probability of drawing two prime numbers in a row?
Answer:
[tex]Probability = \frac{1}{11}[/tex]
Step-by-step explanation:
Given
Marbles = 12
Selection without replacement
Required
Determine the probability of selecting 2 primes
Between 1 and 12, the prime digits is 4, and they are: 3, 5, 7 and 11
So, when the first marble is picked, the probability that it will be prime is:
[tex]P(First) = \frac{4}{12}[/tex]
Now there are 3 primes left and 11 marbles in total. So, the probability of selecting another prime is:
[tex]P(Second) = \frac{3}{11}[/tex]
The required probability is:
[tex]Probability = P(First) * P(Second)[/tex]
[tex]Probability = \frac{4}{12} * \frac{3}{11}[/tex]
[tex]Probability = \frac{1}{11}[/tex]
40% of the trees are 300 trees. How many trees are 20%?
Answer:
150 trees
Step-by-step explanation:
If 40% of the trees is 300, you'd expect that 20% (half the percentage) is also half the trees.
Answer:
150 trees
Step-by-step explanation:
40 % / 2 = 20%
300 / 2 = 150 trees