Answer: The expected value is 12.44
Step-by-step explanation:
The expected value can be calculated as:
EV = ∑xₙ*pₙ
Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:
x₁ = 8
x₂ = 6
x₃ = 24
And pₙ is the probability of the n-th event.
For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).
First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:
p₁ = 90°/360° = 0.25
For outcome = 24, we have an angle of 120°, then the probability for this event is:
p₃ = (120°/360°) = 0.33
And the angle for the third arc must be such that:
90° + 120° + A = 360°
then:
A = 360° - 90° - 120° = 150°
Then the probability for the outcome = 6 is:
p₂ = (150°/360°) = 0.42
Now we can find the expected value as:
EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44
The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?
Answer:
The angle is approximately [tex]31^{o}[/tex].
Step-by-step explanation:
The description i the given question can be represented with the sides of a right angled triangle.
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
In the question, opposite side = 60 feet, and adjacent side = 100 feet.
Tan θ = [tex]\frac{60}{100}[/tex]
= 0.6
θ = [tex]Tan^{-1}[/tex] 0.6
= [tex]30.964^{o}[/tex]
θ = [tex]31^{o}[/tex]
The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
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50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help
Answer:348
Step-by-step explanation:
For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
Answer:
[tex] 1,205.8\: {ft}^{3} [/tex]
Step-by-step explanation:
Given object is made up of cylindrical and conical parts.
Fir cylindrical part:
r = 16/2 = 8 ft
h = 4 ft
For conical part:
r = 16/2 = 8 ft
h = 6 ft
Volume of the object = Volume of cylinderical part + Volume of the conical part
[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]
11. Jeremy ran 14 races. Each race was 5 kilometers long. Approximately
how many miles did Jeremy run altogether in the races? (1 kilometer
0.62 mile)
A 43 miles
B. 70 miles
C 113 miles
D
200 miles
Answer: B
Step-by-step explanation:
9y+3-4x-2y-3x-5 combine like terms
Answer:
7y-7x-2
Step-by-step explanation:
9y+3-4x-2y-3x-5
7y-7x-2
that a lot of points thx :)
you just add the numbers of the like terms togehter
Answer:
7y-2-7x
Step-by-step explanation:
Shae is covering a wall in her bedroom with wallpaper. The measurement of the wall is 12 ft x 14 ft.
A roll of wallpaper covers 42 square feet. How many rolls should Shae purchase?
A. 4 rolls
B. 10 rolls
C. 12 rolls
D. 14 rolls
Answer:
4 rolls
Step-by-step explanation:
Area of the wall = 12 *14 = 168 square feet
1 roll = 42 square feet.
x roll = 168
1/x = 42/168 Cross Multiply
42x = 168 Divide by 42
x = 168/42
x = 4 rolls
Answer:
12 rolls
Step-by-step explanation:
find a fraction equivalent to 1/2
Answer:
50/100
Step-by-step explanation:
it is a half becaus 50 is half of 100 1 is hal of 2
.25 x .22
what is the answer
Answer:
.055
Step-by-step explanation:
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!
(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)
Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three sides?
What is the length of the two sides that have the same length?
Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8
Answer:
1/8
Step-by-step explanation:
That's the same assignment I have and you just have to think it through mate.
Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >
Answer: 2 rays that meet an endpoint
How many 1/3 are in 2 2/3
Answer:
8/3
Step-by-step explanation:
You have to count each third and eventually you would get 8/3.
Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have
Answer:
Ivan has 42 blue beads.
Step-by-step explanation:
We need to find how many blue beads Ivan has.
Blue beads = 6 times as many as red beans
b = 6r
r + b = 49
r + (6r) = 49
7r = 49
Divide both sides by seven to isolate r
r = 7
b = 6(7)
b = 42
Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84
Answer:
its c or 83 bc you add them all together then divide by the amount of grades he has in total
PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you
Answer:
9in on the map
Step-by-step explanation:
1/2in=20m or 1in=40m
360/40=9
9in
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N
an=-3+5(n-1) written in function form
also whats the y intercept?
Answer:
written function is 5n-8
Step-by-step explanation:
there is no y-intercept
The following stemplot displays the number of forest fires (the stem is in tens of thousands) that occurred each year over the period from 1980 to 2012.
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
How many data values are in this data set?
Answer:
32 values
Step-by-step explanation:
Given the stem. Plot :
STEM ___ Leaf
4 | 024477889
5 | 001222234477888
6 | 02378
7 | 348
The data values include the stem with each value in the leaf : Hence, the number of data points is the number of values in the leaf of the stem plot.
The values are :
40, 42, 44, 44, 47, 47, 48,48, 49
50, 50, 51, 52,52, 52, 52, 53, 54, 54, 57, 57, 58, 58, 58,
60, 62, 63, 67, 68
73, 74, 78
FAST ITS TIMED
Which expressions are equivalent to 8(-10x + 3.5y - 7)
Answer:
#2 and #4
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
which equation represents the graphed function?
Answer:
[tex]\frac{3}{2}[/tex] x - 3 = y
Step-by-step explanation:
The answer is the third equation.
This is because the y-intercept is -3 and the x-intercept is at (2,0) (you can find the x-intercept by making "y" = 0). The only equation that has both of these is the third one.
The area of the parallelogram below is ____ square meters.
Answer:
45 cm2
Step-by-step explanation:
your welcome I guess?
im doing the same test btw
EDIT: i finished my test this answer is wrong. pls do search for a different answer. because mine is wrong.
what is the circumference of a 12mm circle
Answer:
The circumference is 37.7 mm.
Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.
Answer: 0.9132
Step-by-step explanation: PLATO
Just answer Number 5, I got the rest.
Any spam will be reported/deleted.
Answer:
30
Step-by-step explanation:
so one of them is 90, one of them is 60
180-150 = 30
so 30
A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?
Answer:
[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center of the circle and r is the radius.
For this circle, the center is (5, -9) and the radius is 12. Therefore:
[tex]h= 5 \\k= -9 \\r=12[/tex]
Substitute the values into the formula.
[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]
Distrubute the -1 into the -9.
-(-9)= -1*-9= 9[tex](x-5)^2+(y+9)^2=(12)^2[/tex]
Solve the exponent.
(12)²= 12*12=144[tex](x-5)^2+(y+9)^2=144[/tex]
The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144
Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.
The equation of a circle.Mathematically, the standard form of an equation of a circle is given by;
(x - h)² +(y - k)² = r²
Where:
h and k represents the coordinates at the center.r is the radius of a circle.Given the following data:
Coordinates (h, k) = (5, -9).Radius = 12.Substituting the given parameters into the formula, we have;
(x - 5)² +(y - (-9))² = 12²
(x - 5)² +(y + 9)² = 144
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Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answer:
pov: im getting free points
Step-by-step explanation:
A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4