Answers
Answer:
[tex](a)\ Pr = \frac{2}{5}[/tex]
[tex](b)\ Pr = \frac{9}{20}[/tex]
[tex](c)\ E(Orange) = 100[/tex]
[tex](d)\ E(Orange) = 62.5[/tex]
Step-by-step explanation:
Solving (a): Theoretical probability of green or yellow
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 5[/tex] --- i.e. 5 sections
[tex]Yellow = 1[/tex]
[tex]Green = 1[/tex]
So, the probability is:
[tex]Pr = P(Yellow)\ or\ P(Green)[/tex]
[tex]Pr = \frac{Yellow}{n} + \frac{Green}{n}[/tex]
[tex]Pr = \frac{1}{5} + \frac{1}{5}[/tex]
Take LCM
[tex]Pr = \frac{1+1}{5}[/tex]
[tex]Pr = \frac{2}{5}[/tex]
Solving (b): Experimental probability of green or yellow
Here, we consider the result of the experiment
From the attached image, we have:
[tex]n= 40[/tex] --- i.e. 40 spins
[tex]Yellow = 12[/tex]
[tex]Green = 6[/tex]
So, the probability is:
[tex]Pr = P(Yellow)\ or\ P(Green)[/tex]
[tex]Pr = \frac{Yellow}{n} + \frac{Green}{n}[/tex]
[tex]Pr = \frac{12}{40} + \frac{6}{40}[/tex]
Take LCM
[tex]Pr = \frac{12+6}{40}[/tex]
[tex]Pr = \frac{18}{40}[/tex]
Simplify
[tex]Pr = \frac{9}{20}[/tex]
Solving (c): Expectation of orange outcomes in a spin of 500 times, theoretically.
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 5[/tex] --- i.e. 5 sections
[tex]Orange = 1[/tex]
So, the probability of having an outcome of orange in 1 spin is:
[tex]Pr = P(Orange)[/tex]
[tex]Pr = \frac{Orange}{n}[/tex]
[tex]Pr = \frac{1}{5}[/tex]
In 500 spins, the expectation is:
[tex]E(Orange) = Pr * 500[/tex]
[tex]E(Orange) = \frac{1}{5} * 500[/tex]
[tex]E(Orange) = 100[/tex]
Solving (c): Expectation of orange outcomes in a spin of 500 times, base on experiments.
Here, we consider the spinner itself
From the attached image, we have:
[tex]n= 40[/tex] --- i.e. 40 spins
[tex]Orange = 5[/tex]
So, the probability of having an outcome of orange is:
[tex]Pr = P(Orange)[/tex]
[tex]Pr = \frac{Orange}{n}[/tex]
[tex]Pr = \frac{5}{40}[/tex]
[tex]Pr = \frac{1}{8}[/tex]
In 500 spins, the expectation is:
[tex]E(Orange) = Pr * 500[/tex]
[tex]E(Orange) = \frac{1}{8} * 500[/tex]
[tex]E(Orange) = 62.5[/tex]
Related Questions
1) A farmer has sheep and cattle in the ratio 8:3.
a) How many sheep has the farmer if he has 180 cattle?
b) Find the ratio of the number of sheep to the total number of animals.
c) Find the ratio of the total number of animals to the number of cattle.
2)My fortune of $ 810 000 is to be divided in the ratio 4:3:2. How much does each person receive?
Good
Answers
Answer:
Q 1)
a) No of sheep = 480
b) 8 : 11
c) 11 : 3
Q 2)
Each person will receive: $360,000, $270,000 and $180,000
Step-by-step explanation:
Ratio of sheep to cattle = 8 : 3
Let the number of sheep be 8x
And number of cattle be 3x
a)
No of cattle = 180 (Given)
Therefore,
3x = 180
x = 180/3
x = 60
Therefore, 8x = 8*60 = 480
No of sheep = 480
b)
Total animals = 180 + 480 = 660
Ratio of sheep to the total number of animals
= 480 : 660
= 8 : 11
c)
Ratio of total animals to the number of cattle
= 660 : 180
= 11 : 3
Q 2) Let each person will receive 4x, 3x and 2x dollars.
Therefore,
4x + 3x + 2x = 810,000
9x = 810000
x = 810000/9
x = 90,000
Therefore,
4x = 4*90,000 = $360,000
3x = 3*90,000 = $270,000
2x = 2*90,000 = $180,000
So, each person will receive $360,000, $270,000 and $180,000.
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ WILL REPORT FAKE ANSWERS
Answers
Answer:
The graph has a domain of {x|0 < x < infinite} and approaches 0 as x decreases
The graph has a domain of {y| -infinite < y < infinite} and decreases as x approaches 0.
Step-by-step explanation:
I was confused at first because I was like "There is 2 answers" and I reread the question again and found my mistake.
And sorry for the wait because "I am in class"
160% of what number 56?
Answers
Answer:
160% of 35 is 56.
Step-by-step explanation:
[tex]\frac{56}{y} :\frac{160}{100}[/tex]
y · 160 = 56 · 100
160y = 5600
160y ÷ 160 = 5600 ÷ 160
y = 35
Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z
Answers
The intersection of plane A and line m can be describes as line m .
What is reflectional symmetry?Let's a plane. Consider a design or shape on that plane. Now consider an axis.
If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.
Given that Planes A and B intersect.
We can see the two walls as planes in geometry.
A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.
When two planes intersect, their intersection is a line.
Learn more about symmetry here:
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The X and Y coordinates (in feet) for station Shore are 2058.97 and 6980.06, respectively, and those for station Rock are 1408.03 and 6980.06, respectively. What are the azimuth, bearing, and length of the line connecting station Shore to station Rock
Answers
Answer:
Hence, the azimuth, bearing, and length of the line connecting station Shore to station Rock are [tex]270^{\circ},90^{\circ}[/tex] and [tex]650.94[/tex] feet.
Given :
The shore station point [tex](X_1,Y_1)[/tex] in feet,
[tex](X_1,Y_1)=(2058.97, 6980.06)[/tex]
The Rock station point [tex](X_2,Y_2)[/tex] in feet
[tex](X_2,Y_2)=(1408.03,6980.06)[/tex]
From the figure
[tex]x=2058.97-1408.03=650.94[/tex] feet
[tex]y=6980.06-6980.06=0\\[/tex] feet
Length of the line [tex]L=\sqrt{x^2+y^2}[/tex]
[tex]\Rightarrow L=\sqrt{(650.94)^2+0}=650.94[/tex]
[tex]\Rightarrow L=650.94[/tex] feet
[tex]\because[/tex] [tex]\tan \theta=\frac{y}{x}=\frac{0}{x}=0[/tex]
[tex]\Rightarrow \theta=\tan^{-1}(0)=0[/tex]
Azimuth of line[tex]=270^{\circ}+\theta[/tex]
[tex]=270^{\circ}+0[/tex]
[tex]=270^{\circ}[/tex]
[tex]\therefore[/tex] Bearing [tex]=360^{\circ}-\text{Azimuth}[/tex]
[tex]=360^{\circ}-270^{\circ}[/tex]
[tex]=90^{\circ}[/tex]
PLSSSSSSSSSSS ASAP!!!!! Find the area of the figure shown below.
Answers
Answer:
54 square ft
Step-by-step explanation:
Find missing sides:
8+6 = 14
9-6 = 3
Find area of full rectangle:
9×8 = 72
Find the area of the missing part of the full rectangle
3×6 = 18
Find the area of the actual shape:
72-18 = 54
Area = 54 square ft
This graph shows the altitude of an airplane over time. Which story matches the graph?
A.)The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude.
B.)The aircraft rose steadily over the entire flight.
C.)The aircraft rose quickly to its maximum height, and then it immediately began going back down toward the grou
D.)The aircraft rose quickly into the air at takeoff, and then it rose slowly for the rest of the flight.
SHOW HINT
Answers
Answer:
A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)
Answer:
Omg, thank u so much I am on this question rn on Edulatic and I have 100 Q's and I'm only on Q 45, This Question rly helped me a lot bc it came with the answer. God Bless you!!
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answers
Answer:
I think it depends how far bill wants to hike..
Step-by-step explanation:
OR
37 minutes and 30 seconds
What is the volume of a sphere with a radius of 3.1 cm, rounded to the nearest tenth
of a cubic centimeter?
Answers
Rounded to the nearest tenth It’s 124.8
Identify a second of transformations that maps triangle ABC onto triangle A"B"C in the image below.
Answers
Answer: The answer is B because the triangle rotated a 90 degrees counterclockwise then got a reduction.
Step-by-step explanation:
Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
True
O False
Answers
Answer:
Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
it's false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
A circle has a diameter of 10 centimeters.
What is the best approximation of its area?
Use 3.14 to approximate for π.
15.7 cm²
31.4 cm²
78.5 cm²
314 cm²
Answers
Answer:
78.5 (please put brainliest)
Step-by-step explanation:
r = diameter / 2 = 5
area = π * r^2 = 25 * 3.14 = 78.5
Answer:
78.5 m^2
Step-by-step explanation:
a cylinder has a diameter of 12 and height of 12. the volume of the cylinder is:
A. 1728π cubic units
B. 288π cubic units
C. 144π cubic units
D. 432π cubic units
Answers
Find the perimeter of a rectangle with a base of 12 ft and a height of 5 ft.
Answers
Answer:
P=34ft
Step-by-step explanation:
Solution
P=2(l+w)=2·(12+5)=34ft
Please help soon- The weight of oranges growing in an orchard is normally distributed with a mean
weight of 6 oz. and a standard deviation of 1 oz. From a batch of 2500 oranges, how
many would be expected to weight less than 4 oz., to the nearest whole number?
Answers
Two parallel lines are cut by a transversal. What is the measure of <1?
A 80
В. 180
C. 100
D. 90
Answers
Answer:
C - 100
Step-by-step explanation:
9514 1404 393
Answer:
C. 100°
Step-by-step explanation:
Consecutive (same-side) exterior angles are supplementary.
∠1 = 180° -∠7 = 180° -80°
∠1 = 100°
I need this please help me
Answers
Answer:
A. Right 6, Down 5
Step-by-step explanation:
I don't know how to explain this
What is 8% of 200?
4
16
25
Done
Answers
Answer:
16
Step-by-step explanation:
8% of 200 is 16
Answer: 16
Explanation: That's an i-Ready Diagnostic!! Heh...
What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
can someone help me :(
Answers
Answer:
A is the correct answer
.......................
Answer:
A. y+116+30=180
Step-by-step explanation:
A straight angle is 180°.
all the given angles make up a straight angle, so they add to 180°.
The scatter chart below displays the residuals verses the dependent variable, x. Which of the following conclusions can be drawn based upon this scatter chart? a. The residuals are normally distributed. b. The model over predicts the value of the dependent variable for small values and large values of the independent variable. c. The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship. d. The residuals have a constant variance.
Answers
Answer: Hello the scatter plot related to your question is missing attached below is the scatter plot
answer : The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship ( C )
Step-by-step explanation:
The conclusion that can be drawn based upon the scatter chart is that The model fails to capture the relationship between the variables accurately, and there may exist nonlinear relationship
A scatter plot helps in observing the relationship within different numeric variables but the scatter plot attached fails in the showing the actual relationship
Find the exact value of sin A in simplest radical form.
Answers
Using the sine rule,
[tex] \frac{a}{sin(a)} = \frac{b}{sin(b)} = \frac{c}{sin(c)} [/tex]
Here we are going to use the values of A and C,
[tex] \frac{12}{sin(a)} = \frac{14}{sin(90)} \\ \frac{12}{sin(a)} = \frac{14}{1} \\ sin(a) = 12 \div 14 \\ sin(a) = 0.8571[/tex]
So sin(A) = 12/14 = 6/7 = 0.8571, but since the question says in its simplest radical form, I think the closest answer to it should be
[tex] \frac{ \sqrt{3} }{2} [/tex]
My faces are not all
congruent.
I contain 12 edges.
I contain 6 faces.
Answers
Answer:
its a rectangle
Step-by-step explanation:
Simran has a bag containing white and yellow marbles. Simran randomly selects one marble from the bag,
records the result, and returns the marble to the bag. The results of the first 65 selections are shown below.
A white marble was selected 41 times.
A yellow marble was selected 24 times.
Based on these results, what is the probability that the next marble Simran selects, rounded to the nearest
Answers
Answer:
d. 63%
Step-by-step explanation:
percent, will be white?
A41% b50% c59% d63%
The probability of white = P (w) = 41/65= 0.63
The probability of yellow = P (y)= 24/65= 0.369=0.37
The probability of choosing white is 0.63 . When rounded to nearest percent gives
0.63*100/100
=0.63*100 percent
= 63 percent
= 63%
the probability of getting the next marble white is the same as the probability of getting a white.
find the difference between 0.1 kg and 75g
Answers
Answer:
25 g
Step-by-step explanation:
0.1 kg can be written as 100 grams
& 75 g
while 1 kg is 1000 grams
so difference:-
(100- 75 ) grams
= 25 g
The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.
Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:
0.1 kg = 0.1 * 1000 g = 100 g
Now, the two quantities are in the same unit:
0.1 kg - 75 g = 100 g - 75 g = 25 g
So, the difference between 0.1 kg and 75 g is 25 grams.
To know more about difference:
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Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp
Show work please
Answers
Answer:
Cost of each eagle stamp = $0.25
Cost of each racoon stamp = $0.4
Step-by-step explanation:
Given:
Cost of 8 eagle stamp and 2 racoon stamp = $2.80
Cost of 3 eagle stamp and 4 racoon stamp = $2.35
Find:
Cost of each stamp
Computation:
Assume;
Cost of each eagle stamp = e
Cost of each racoon stamp = r
So,
8e + 2r = 2.80........... Eq 1
3e + 4r = 2.35 ........... Eq 2
Eq 1 x 2
16e + 4r = 5.6 .........Eq3
Eq 3 - Eq 2
13e = 3.25
e = 0.25
Cost of each eagle stamp = $0.25
8e + 2r = 2.80
8(0.25) + 2r = 2.80
2 + 2r = 2.80
r = 0.4
Cost of each racoon stamp = $0.4
What is the absolute value of a number?
Answers
Answer:
It is the distance from the zero on a number line. Also, it is never negative.
Step-by-step explanation:
struggling with homework!!
Answers
Answer:
40
Step-by-step explanation:
if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.
5% equals what fraction, in lowest terms?
Answers
Answer:
1/20
Step-by-step explanation:
According to G0ogle 5 percent equals 1/20 in lowest terms.
Answer:
5% equals 5/100 which is 1/20 in lowest terms.
Step-by-step explanation:
5% is basically equivalent to 5/100. 5/100 in lowest terms is 1/20 since you divide the numerator and denominator by 5.
I hope this helps, have a nice day.
A. 35
B. 96
C. 51
D. 80
Answers
Answer:
Its D
Step-by-step explanation: