Answer:
a) 0.0835 = 8.35% of students at the university are statistics majors
b) 0.8623 = 86.23% are at the Main campus
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.
This is used for item b.
a. What proportion of students at the university are statistics majors?
12% of 60%(At the main campus).
4% of 25%(Downtown campus).
The rest is 100 - 60 + 25) = 15%.
1% of 15%(Bay Area Campus). Si
[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]
0.0835 = 8.35% of students at the university are statistics majors.
b. Of all statistics majors at the university, what proportion are at the Main campus?
Using conditional probability to find the percentage.
Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]
Event B: Main Campus
Intersection of A and B:
12% of 60%. So
[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]
Percentage:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]
0.8623 = 86.23% are at the Main campus
The speed of the current in the river is 4 mph about travel 17 miles downstream with the current in the this river in the same time that it travels 9 miles upstream against the current find the speed of the boat in the Stillwater
Answer:
Step-by-step explanation:
b = speed of boat in still water
traveling downstream, the boat goes (b+4 miles)/hour.
traveling upstream the boat goes (b-4 miles)/hour.
Time to travel 17 miles downstream = 17 miles × (1 hour)/(b+4 miles)
Time to travel 9 miles upstream = 9 miles × (1 hour)/(b-4 miles)
17 miles × (1 hour)/(b+4 miles) = 9 miles × (1 hour)/(b-4 miles)
17/(b+4) = 9/(b-4)
cross-multiply denominators:
17(b-4) = 9(b+4)
17b - 68 = 9b + 36
8b = 104
b = 13 miles per hour
Solve this system using Substitution
y=5
y=-2x+3
Answer:
x = -1
Step-by-step explanation:
-2x+3 = 5
subtract 3 on both sides: -2x = 2
divide both sides by -2: x = -1
Lightening Energy Drink has 15.2 calories per fluid ounce. If Jeremy drinks two 12 ounce of Lightening Energy Drinks, then how much calories Dias he consume? Must show work
Answer:
15.2*12=182.4
Step-by-step explanation:
A researcher gathers a sample of n=89 people to try a new
type of therapy and to compare the sample to the
population mean of m=23. The sample means for
depression after treatment was =24 with a standard
deviation of s=3. Using this information, what is the mean
for the distribution of sample means used for this study?
Round your answer to 2 decimal places if appropriate.
Answer:
24
Step-by-step explanation:
+#;$;_;_:;+$hshshsbbsns
Which is greater, 0.024 or 0.102? How did you get answer?
Answer:
0.102
Step-by-step explanation:
because 0.102-0.024>0, meaning it has more. also the second number has a . tenth while the first number has 2 hundreths, which is smaller
Answer:
0.102
Step-by-step explanation:
Because 0.024 and 0.102 is compared by digits first digit of THEM both is 0 and its equal second digit is 0 and 1 so 1 is greater than 0 because of the 1 on the 0.102 it is greater
Which equation is equivalent to
4
1
+x=-
? Select all that apply.
4
6
X
6
X=
4
3
--
4 4
3
2
3
4.
) Intro
Answer:
3 and 2 r equivalent i belive
a town has a population of 70,230 in the year 2020. Over the next five years, 6556 people move into the town for work, but 4096
Answer:
63,674
Step-by-step explanation:
70,230-6556
=63,674
simplify the expression 4x+2-1/2x
Answer:
7/2 x + 2
Step-by-step explanation:
4x+2−
1
2
x
What is the first step in solving 5x-2=3
Answer:
5x-2=3
5x=3+2
5x=5
x=5÷5
x=1
15% of the students in the library have brown eyes. If there are 9 students with brown eyes, How many students are in the library
Answer:
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
ENGLISH
If you Multiply 9x100 you get 900 then you divide 15 divided by 900 is 60
SPANISH
Si multiplica 9x100 obtiene 900, entonces divide 15 dividido por 900 es 60
Hope this will help you
The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.
x^2+6x=15
Which statement best describes the term 15?
the maximum height of the roller coaster
the horizontal distance from the station when the roller coaster is at its maximum height
the velocity of the roller coaster
the initial height of the roller coaster
Answer:
D.) the initial height of the roller coaster
Step-by-step explanation:
Answer:
the initial height of the roller coaster
Step-by-step explanation:
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
NEED HELP ASAP!!!!!!!
Step-by-step explanation:
It's must be -3 ...............
Carla draws two rectangles.
One of the rectangles has an area of 35 square inches.
The other has a perimeter of 20 inches
Select the two rectangles that could be the rectangles Carla draws
A rectangle with a width of 2 inches and a length of 6 inches
A rectangle with a width of 2 inches and a length of 8 inches
A rectangle with a width of 4 inches and a length of 6 inches
A rectangle with a width of 5 inches and a length of 7 inches
A rectangle with a width of 6 inches and a length of 10 inches
Answer:
A rectangle with a width of 5 inches and a length of 7 inches.
A rectangle with a width of 4 inches and a length of 6 inches
Step-by-step explanation:
A computer game designer uses the function f(x) = 4(x - 2)2 + 6 to model the path of the fish The horizontal path of
the squid intersects the path of the fish. At what other point does the squid's path intersect the path of the fish?
Answer:
(-1,42)
Step-by-step explanation:
ahaha i got it wrong then it told me the actual answer
At point (5, 42), the squid's path intersect the path of the fish
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given a computer game designer who uses the function;
f(x) = 4(x - 2)² + 6
Since the function f(x) = 4(x - 2)² + 6 to model the path of the fish The horizontal path of the squid intersects the path of the fish.
When x = 5
f(x) = 4(x - 2)² + 6
f(x) = 4(5 - 2)² + 6
f(x) = 36 + 6
f(x) = 42
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?
Answer:
67
Step-by-step explanation:
she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67
Write the fraction in simplest form. *
8/12
Answer:
2/3
Explanation:
/////////////
Solve the proportion:
-9/6 = 3/x
Answer:
-2
Step-by-step explanation:
A piece of paper has an area of 93.5 square inches. How many times does it need to be folded in half before the area is less than 1 square inch? Explain how you know.
Answer:
7 times.
Step-by-step explanation:
Keep dividing 93.5 by 2 until it becomes less than 1.
The sheet needs to be folded in half 7 times.
Since the area of the piece of paper is 93.5 square inches, and we need to fold the sheet in half it 'n' times to get an area less than 1 square inch. This is written mathematically as 93.5(1/2)ⁿ ≤ 1.
So, dividing through by 93.5, we have
(1/2)ⁿ ≤ 1/93.5
(1/2)ⁿ ≤ 0.0107
taking natural logarithm of both sides, we have
㏑(1/2)ⁿ ≤ ㏑0.0107
n㏑(1/2) ≤ ㏑(0.0107)
n ≤ ㏑(0.0107)/㏑(1/2)
n ≤ -4.538/-0.693
n ≤ 6.55
Rounding up to the nearest whole number,
n ≅ 7
So, the sheet needs to be folded in half 7 times.
Learn more about paper folding here:
https://brainly.com/question/16926437
The smallest angle of a triangle is measure x degrees. The second angle is 45 degrees more than the smallest angle. The third angle is three times larger as the smallest angle. Write algebraic expression to express measures of the second and third angles of the triangle.
Answer:
Smallest angle = 27°
Second angle = 72°
Third angle = 81°
Step-by-step explanation:
Given:
In triangle
Smallest angle = x
Second angle = x + 45
Third angle = 3x
Find:
All angle
Computation:
Using angle sum property
x + x + 45 + 3x = 180
5x + 45 = 180
x = 27
Smallest angle = 27°
Second angle = x + 45
Second angle = 27 + 45
Second angle = 72°
Third angle = 3x
Third angle = 3(27)
Third angle = 81°
A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?
Answer:
Step-by-step explanation:
1 foot = 12 inches
length of board in inches = 8 ft × (12 in)/ft = 96 in
length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in = 68 in.
96 - 68 = 28 inches left
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
First option
Step-by-step explanation:
Biotechnology contains genetic manipulation and agricultural purposes, so growing crops in areas they usually do not grow would be a positive use of biotechnology.
I hope you get the problem right.
Can someone please help me with my homework
Answer:
Do not use, there's still one more piece of the puzzle missing.
X =
Step-by-step explanation:
Lets look everything over and compare the corresponding parts of the 2 triangles.
One side of each is shared between the two triangles.
Another side of each triangle is 13 on each triangle.
The included angle of one triangle is 80 degrees and the other is 110 degrees.
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?
Find the vertex of the graph of the quadratic function f(x)=7x2+14x+10
Answer:
plazzz get lost bro fast
The function f(x) = 3/4(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
u already have the answer
Answer:
For people that can't see the picture it's
C (2,-3/400) third option
Step-by-step explanation:
What is the product of the rational expressions shown below ? Make sure your answer is in reduced form. Photo included . Multiple choice .
Answer:
( 1/x-5)*8x
(1*8x)/(x-5)
8x/x-5
write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7
Answer:
1. -8 , -5 , 1 , 2
2: -5, -4 , -3 , 2
3: -15, -10, -7
Step-by-step explanation:
Given
1. -5, 2, 1, -8
2. -4, -3, -5, 2
3. -10, -15,-7
Required
Sort in ascending order
To write in ascending order, means that the number must increase from left to right.
So, we have:
1. -5, 2, 1, -8
From left to right, we have:
[tex]-8 < -5 < 1 < 2[/tex]
Hence, the sorted list: -8 , -5 , 1 , 2
2. -4, -3, -5, 2
From left to right, we have:
[tex]-5 < -4 < -3 < 2[/tex]
Hence, the sorted list: -5, -4 , -3 , 2
3. -10, -15,-7
From left to right, we have:
[tex]-15 < -10 < -7[/tex]
Hence, the sorted list: -15, -10, -7
PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS
Answer:
The Liberty Tree (1646–1775) was a famous elm tree that stood in Boston near Boston Common, in the years before the American Revolution. The tree became a rallying point for the growing resistance to the rule of Britain over the American colonies, and the ground surrounding it became known as Liberty Hall. By hanging the noose there it is symbolizing liberty and justice is served.
Step-by-step explanation:
please mark brainliest, I hope this helps
Write the phrase as an algebraic expression: The product of a number m and three.
Answer:
3m
Step-by-step explanation:
Product means multiplication, so you're multiplying 3 with m.
