Answers
Answer:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]3[/tex]
Step-by-step explanation:
[tex]\int _0^{\frac{3\pi }{2}}\left|\sin \left(x\right)\right|dx[/tex] = [tex]\int _0^{\pi }\sin \left(x\right)dx+\int _{\pi }^{\frac{3\pi }{2}}-\sin \left(x\right)dx[/tex] = [tex]2+1[/tex] = [tex]3[/tex]
Related Questions
The question is ...(see the picture)
Thank you very much！！
Answers
Answer: [tex]3x^{-2.5}[/tex]
Step-by-step explanation:
Given
Expression is
[tex]\dfrac{12\sqrt{x}}{4x^3}[/tex]
Using exponent property [tex]x^a\cdot x^b=x^{a+b}[/tex]
Writing expression in the form of [tex]k\cdot x^n[/tex]
[tex]\Rightarrow \dfrac{12\sqrt{x}}{4x^3}=\dfrac{3\times 4}{4}\times \dfrac{x^{0.5}}{x^3}\\\\\Rightarrow \dfrac{3\times 4}{4}\times x^{0.5-3}\\\\\Rightarrow 3x^{-2.5}[/tex]
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Required:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
Answers
Answer:
a) The sample mean is of 42.7 thousand dollars.
The standard deviation is of 6.38 thousand dollars.
b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Step-by-step explanation:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
Sample mean is the sum of all values divided by the number of values. So
[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]
The sample mean is of 42.7 thousand dollars.
Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So
[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]
The standard deviation is of 6.38 thousand dollars.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:
[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]
Point estimate of the difference:
42.7 - 22.3 = 20.4
The point estimate of the difference between the two population means is of 20.4 thousand dollars.
A pool in the shape of a rectangular prism has a length of 12 m, a width of 6 m, and a depth of 1.5 m. Find the volume of water needed to fill the pool.
Answers
Answer:
108 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108
Can someone help me out my math grads are bad
Answers
Answer:
First answer: 5x+8x+9+3+4
Second answer: 13x+16
Second one would be 13x+16
There are 4 green marbles and 2 red marbles in the jar. You just randomly draw one by one without replacement and stop when you get the first red marble. Let X be the number of green marbles you draw when you stop. Get the probability distribution of X and find the expectation of it
Answers
Answer:
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value for X is:
EV = 1.33...
Step-by-step explanation:
We have a total of 6 marbles in the jar.
The probability of getting a red marble in the first try (X = 0) is equal to the quotient between the number of red marbles and the total number of marbles, this is:
P(0) = 2/6 = 1/3
The probability of drawing one green marble (X = 1)
is:
First, you draw a green marble with a probability of 4/6
Then you draw the red one, but now there are 5 marbles in the jar (2 red ones and 3 green ones), then the probability is 2/5
The joint probability is:
P(1) = (4/6)*(2/5) = (2/3)*(2/5) = 4/15
The probability of drawing two green marbles (X = 2)
Again, first we draw a green marble with a probability of 4/6
Now we draw again a green marble, now there are 3 green marbles and 5 total marbles in the jar, so this time the probability is 3/5
Now we draw the red marble (there are 2 red marbles and 4 total marbles in the jar), with a probability of 2/4
The joint probability is:
P(2) = (4/6)*(3/5)*(2/4) = (2/6)*(3/5) = 1/5
The probability of drawing 3 green marbles (X = 3)
At this point you may already understand the pattern:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
finally, we draw a red marble with a probability 2/3
The joint probability is:
P(3) = (4/6)*(3/5)*(2/4)*(2/3) = (2/6)*(3/5)*(2/3) = (1/5)*(2/3) = (2/15)
Finally, the probability of drawing four green marbles (X = 4) is given by:
First, we draw a green marble with a probability 4/6
second, we draw a green marble with a probability 3/5
third, we draw a green marble with a probability 2/4
fourth, we draw a green marble with a probability 1/3
Finally, we draw a red marble with a probability 2/2 = 1
The joint probability is:
P(4) = (4/6)*(3/5)*(2/4)*(1/3)*1 = (1/5)*(1/3) = 1/15
Then the probability distribution is:
P(0) = 1/3
P(1) = 4/15
P(2) = 1/5
P(3) = 2/15
P(4) = 1/15
The expected value will be:
EV = 0*P(0) + 1*P(1) + 2*P(2) + 3*P(3) + 4*P(4)
EV = 1*(4/15) + 2*( 1/5) + 3*( 2/15) + 4*(1/15 ) = 1.33
So we can expect to draw 1.33 green marbles in this experiment.
Find mCFD
O 180°
O 276°
O 307°
O 53°
Answers
9514 1404 393
Answer:
307°
Step-by-step explanation:
The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...
arc CFD = 360° -(arc BF -arc ED)
arc CFD = 360° -132° +79°
arc CFD = 307°
_____
Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.
From a hot-air balloon, Meena measures a 37° angle of depression to a landmark
that's 1865 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
The balloon is 1405.38 feet above the ground.
Step-by-step explanation:
tan 37 = opp/adj = x/1865
tan 37/1 = x/1865
1865 tan 37 = x
x=1405.378303...≈1405.38
PLEASE HELP ME WITH THIS QUESTION I WILL GIVE BRAINLIEST!!!
Answers
Answer:
I think is B
Step-by-step explanation:
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answers
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
can anyone help me with this pls
Answers
D should be your answer :)
Choose the correct answers.
AUTOMOBILE LIABILITY BASIC INSURANCE PREMIUMS
Coverage Class 1A Class 10 Class 10 Class 2A Class 2B Class 3
Bodily Injury
(in $1,000's):
10/20
50/100
100/300
Property Damage
$5,000
$10.000
$25.000
317.80
383.60
407.50
365.40
440.70
480.90
413.40
497.80
530.92
587.00
709.30
751.88
.
761.00
917.90
976.96
428.40
517.60
549.70
61.00
67.00
73.20
69.40
76.20
84 80
79.80
87.80
96.80
113.40
124.80
136.00
163.80
180.00
196.00
THE
81.80
90.00
98 20
Class 1A: No male driver under 25 car not used for business and not driven to or from work
Class 1B: No male driver under 25: car not used for business and driven to work fewer than
ten miles away
Class 1C: No male driver under 25; car not used for business and driven to work at least ten
Class 2A: One or more male drivers under 25 who are married or are not owner(s) of the car.
Class 28: Unmarried male driver under 25 who is owner of the car.
Class 3: No male driver under 25 car used for business
Sue Jones is insured for bodily injury in the amount of 10/20. She is at fault in an accident in which Albert
Smith is injured. Also injured in the accident is a pedestrian, Sam Dickson. Albert's medical expenses
total $12,000, Sam's come to $8,000. How much will the insurance pay?
a. for Albert
b. for Sam
c. total
Answers
Please help me solve this problem
Answers
Answer:
D, 225
Step-by-step explanation:
Because this equation already has a1, it's useless to test with that, so instead solve for a2.
You would have a2 - 5a1, which would get you a2 = 5(9) because we already know what a1 is, which is 9. a2 = 45
Now we have a2, which is 45, so now we solve for a3
We would have a3 = 5a2 = a3 = 5(45) which is 225 which is a3
Also thanks for the fat 18 points dude, you really put 36 points into this one big value hope this one helped you a lot
A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?
Answers
Answer:
[tex]Width = 14feet[/tex]
Step-by-step explanation:
Given
[tex]Area = 154[/tex]
[tex]Width = 11[/tex]
Required
The length
Area is calculated as:
[tex]Area = Length * Width[/tex]
Make Width, the subject
[tex]Width = \frac{Area}{Length}[/tex]
So, we have:
[tex]Width = \frac{154}{11}[/tex]
[tex]Width = 14feet[/tex]
Solve for
x. Round to the nearest tenth, if necessary.
Answers
Answer:
Step-by-step explanation:
take 18 degree as reference angle
using cos rule
cos 18=adjacent/hypotenuse
0.95=x/27
0.95*27=x
25.65=x
25.7=x
graph triangle cuz with vertices x(-2, -4), y(2, -1), and z(4, -3) on the coordinate grid.
Answers
42 cubes of side 8cm are packed into a cuboid
64cm by 40cm by 24cm. How many more
cubes are needed to completely fill the cuboid?
Answers
Answer:
multiply itStep-by-step explanation:
thats it
HELP HELP HELP HELP PLZZZZZ
Answers
WILL GIVE BRAINLIEST
Answers
Answer:110 degrees
Step-by-step explanation:
2/3 a minus 1/6 equals 1/3 what is a
Answers
Answer:
a = 3/4.
Step-by-step explanation:
2a/3 - 1/6 = 1/3
Multiply thru by the LCD 6:
4a - 1 = 2
4a = 3
a = 3/4.
(a) 34 is 85% of what number?
Answers
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
Tenley makes stained glass windows. She used this piece of stained glass in one of the windows. How many right angles does this piece of stained glass appear to have?
Answers
Answer:
I think its 0
Step-by-step explanation:
solve this: - 4 h = 32
Answers
Answer:
o
Step-by-step explanation:
-4h=32
h=32/-4
h=-8
stay safe healthy and happy.Answer:
h=-8
Step-by-step explanation:
-4h=32
Isolate h by dividing -4 on both sides
h=32/-4
Simplify
h=-8
If this helps please mark as brainliest
15) My bag contains two books each of weight kg and 3/7 folders each of weight
kg. What is the total weight of my bag5/21? What fraction of the total weight
21
are books?
Answers
Answer:
thx for the points MWAH!
Step-by-step explanation:
Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answers
Answer:
Step-by-step explanation:
A. Distance(16)= 30
20)
The cost (C) of materials for a deck varies jointly with the width (w) and the length (1).
If c = $470.40 when w = 12 and 1 = 16, find the cost when w = 10 and I = 25? Be sure to respond in
complete sentence that explains your answer in relation to the question
Answers
Answer:
u mad bruv? xD Xd DxD XDXDXDdd
Step-by-step explanation:
6+4*{3+7}=
um i need help
Answers
Answer:
46
Step-by-step explanation:
6+4×10=6+40
6+40=46
Can someone please answer= 20 points
Below is a geometric sequence, what numbers CANNOT be apart of the sequence? Select all that apply.
F(1)=___
F(2)=-16
F(3)=___
F(4)=-256
a.-4
b.4
c.64
d.-64
e,1024
f.-1024
Pls give explanation if possible...
Answers
50 POINTS!!!
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
[no ridiculous answers or links or i will report]
Answers
Answer:
(7,-19)
Step-by-step explanation:
(x,y) --> (x - 11, y - 9)
Substitute x=18 and y = -10 into the translation
(x,y) --> (18 - 11, -10 - 9)
(7,-19)
simplification of 1.5kg : 250gm
ratio question
Answers
Answer:
1500g:250g
=
6:1
Hope I could help
what is the additive inverse of the complex number 9-4i?
B on edg
-9+4i
Answers
Answer:
-9 + 4i
Step-by-step explanation:
The additive inverse ("opposite") of a complex number a + bi is -a - bi.
Just use the opposites of a and b.