examine the spinner at right. If the central angle of region A is 7 calculate the expected value of one spin.Round to the nearest hundredth..pls hurry
Answers
Answer:
The whole angle on a circle is equal to 360°.
This means that:
∠A + ∠B = 360°.
Here we know that ∠A = 7°
Then ∠B = 360° - 7° = 353°
Now, if the probability is evenly distributed for all the angles, then the probability that the spinner lands in A is equal to the quotient between the measure of the angle A, and the measure of the total circumference, this will be:
Pa = 7°/360° = 0.019
And the same for B:
Pb = 353°/360° = 0.981
Now, the expected value can be calculated as:
Ev = ∑xₙ*pₙ
Where xₙ is the event n, and pₙ is its probability.
Then:
x₁ = A = 100
p₁ = Pa = 0.019
x₂ = B = 2
p₂ = Pb = 0.981
The expected vale will be:
Ev = 100*0.019 + 2*0.981 = 3.862
Rounding to the nearest hundredth, the second digit after the decimal point, we have:
Ev = 3.86
Related Questions
Which number does NOT represent a rational number
A. √144
B. √90
C. √100
D. 0.8
Answers
Answer:
Step-by-step explanation:
B is not rational. B = sqrt(3*3 * 2 * 5) = 3 sqrt(10) sqrt(10) is irrational.
Which of the following is part of the solution to the trigonometric inequality img included over the interval img included radians?
Answers
Answer:
C: pi/4<x<5pi/4
Step-by-step explanation:
I just did the test
The solution of the trigonometric inequality will be equal to π / 4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
What is trigonometry?
The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Given inequality is 3 - tanx ≥ 4 - 2tanx. The inequality will be solved as,
3 - tanx ≥ 4 - 2tanx
2tanx - tanx ≥ 4 - 3
tanx ≥ 1
tanx ≥ tan(π/4)
x ≥ (π/4)
Therefore, the solution of the trigonometric inequality will be equal to π / 4.
To know more about trigonometry follow
https://brainly.com/question/25275758
#SPJ2
Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8
Answers
Step-by-step explanation:
Identification of given pairs of angles are as follows:
∠1 and ∠10: Corresponding angles
∠6 and ∠12: Alternate exterior angles
∠8 and ∠10: Alternate interior angles
∠4 and ∠11: Alternate interior angles
∠2 and ∠8: Alternate exterior angles
trey had 440 songs on his mp3 player.now he has 473 songs.what is the percent of increase in the number of songs on his mp3 player?
round to the nearest tenth if necessary.
Answers
Answer:
There is 7.5% increase in the number of songs on his mp3 player.
Step-by-step explanation:
Original Songs in mp3= 440 songs
Final Songs in mp3= 473 songs
We need to find percent of increase in the number of songs on his mp3 player.
The formula used is: [tex]Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100[/tex]
Now putting values and finding percent of increase
[tex]Percent \ of \ increase = \frac{Final \ Value \ -\ Original \ Value}{Original \ Value} \times 100\\Percent \ of \ increase = \frac{473-440}{440} \times 100\\Percent \ of \ increase = 7.5\%[/tex]
So, there is 7.5% increase in the number of songs on his mp3 player.
PLEASE HELP! BRAINLIEST FOR THE CORRECT ANSWER!!!
Answers
Answer:
i think
Step-by-step explanation:
18:63
14:15
13:7
12:6
What percent of 100 is 67? *
(1) 100%
(2) 67%
(3) 167%
(4) 33%
Answers
67%
Convert fraction (ratio) 67 / 100 Answer: 67%
What Is Science?
100% (3/3)
Earth and Space Systems
67% (2/3)
Gravity's Role in the Universe
67% (2/3)
Interactions of the Earth, Moon, and Sun
67% (2/3)
Planets and Moons
100% (3/3)
Stars, Asteroids, and Comets
67% (2/3)
Energy Flow
100% (3/3)
Weathering and Erosion
100% (3/3)
The Rock Cycle
100% (3/3)
Plate Tectonics
100% (3/3)
Earth's Changing Surface
100% (3/3)
Matter and Energy
100% (3/3)
The Cycles of Earth
100% (3/3)
Natural Resources
100% (3/3)
Find the slope and y-intercept of (5,3) and (4,5)
Answers
Answer:
slope is -2
and y-intercept is 13
Step-by-step explanation:
[tex]slope=m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{5-3}{4-5}=\frac{2}{-1}\\slope=m= -2\\Then, we can write equation of line as y=mx+b\\y=-2x+b\\using either points given we can find b \\so using point (4,5)\\5=-2(4)+b\\so b=13\\ therefore y-intercept is = 13[/tex]
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Answers
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
TRUE OR FALSE
The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.
Answers
Answer:
TRUE
Step-by-step explanation:
GIVE ME BRAINLIEST
Anyone know da answer?
Answers
The second one is addition
The third one is division
The last one is multiplication
Hope I helped :)
if triangle ABC are congruent, what is the length of line segment AB?
Answers
Assuming you meant to say triangle ABC is congruent to triangle DEF, then the corresponding pieces AB and DE are the same length.
In short AB = DE.
Since DE = 10, this makes AB = 10 also.
Josie walks 3/4 mile in 1/5 hour. What is Josie's speed in miles per hour?
Answers
Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12
Answers
Answer:
12
Step-by-step explanation:
52 minus 40
SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)
Answers
Answer:
14x + 1
Step-by-step explanation:
4(2x-1)+3(2x+5) = 2x*4 - 1*4 + 2x*3 + 5*3
= 8x - 4 + 6x + 5
= 8x + 6x -4 + 5 {Combine like terms}
= 14x + 1
So what you should likely do first is distribute the 4 to the (2x-1), as well as distributing the 3 to the (2x+5). Then, you should end up with 8x-4+6x+15 once you have completed the distribution. After that, you should combine like terms so, 8x+6x to get 14x and then 15-4 to get 11 >>(NOTE: this can also be written as -4+15 which also gets 11, it just may be easier to see this as a subtraction problem in this sense), as a result you have 14x+11.
(I have work shown below)
Hope this helps!! :)
How do you find y-intercept with only slope and on point plz explain too
1,4;slope=-2
Answers
Answer:
y= -2x+6
Step-by-step explanation:
use point slope form ----> y-y,=m(x-x,)
(the commas serve as ones)
y-4= -2(x-1)
use distributive property
y-4= -2x+2
add 4 to each side
y= -2x+6
7 (3 - 0.5k) 3k - 5
Answers
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over. How many litres of lemonade were sold?
Answers
Given :
For the school's sports day, a group of students prepared 12 1/2 litres of lemonade. At the end of the day they had 2 5/8 litres left over.
To Find :
How many litres of lemonade were sold.
Solution :
Initial amount of lemonade, I = 12 1/2 = 25/2 litres.
Final amount of lemonade, F = 2 5/8 = 21/8 litres.
Amount of lemonade sold, A = I - F
A = 25/2 - 21/8 litres
A = 9.875 litres
Therefore, 9.875 litres of lemonade were sold.
Hence, this is the required solution.
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
The constant variation is ?
Answers
Answer:
cheetah: 3 hours
Antelope: 5 hours
Lion: 6 hours
Elephant: 15 hours
Step-by-step explanation: i choose these answers because of the amount of time it takes for each animal to run 150 nonstop
50*3=150
30*5= 150
25*6= 150
15*10= 150
Answer:
Cheetah: 3 hours
Antelope: 5 hours
Lion: 6 hours
Elephant: 10 hours
Step-by-step explanation:
50 raised to the power of zero
Answers
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?
Answers
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.
Answers
9514 1404 393
Answer:
one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32Step-by-step explanation:
The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type
QUICK WHAT IS0.034 is 110 of 0.0034.
Answers
Step-by-step explanation:
. We assume, that the number 10 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 0.034% of the output value, so we can write it down as x=0.034%.
5. Now we have two simple equations:
1) 10=100%
2) x=0.034%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
10/x=100%/0.034%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 0.034% of 10
10/x=100/0.034
(10/x)*x=(100/0.034)*x - we multiply both sides of the equation by x
10=2941.1764705882*x - we divide both sides of the equation by (2941.1764705882) to get x
10/2941.1764705882=x
0.0034=x
x=0.0034
now we have:
0.034% of 10=0.0034
help if you cannn please
Answers
Answer:
I want to say it is 8,000
Step-by-step explanation:
go to 80 degrees and go up to the next point and that is on 8,000
Answer:
8,300
Step-by-step explanation:
If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.
to increase an amount by 19% multiple by?
Answers
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
a b c d ?? help me pleas and ty
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is the answer hopw this helps
The actual distance between Oaxaca and Guadalajara, Mexico, is 984 kilometers. On a certain map, these two cities are 4 centimeters apartOn the same map, Guanajuato and Tijuana, Mexico, are 10 centimeters apart. What is the actual distance between Guanajuato and Tijuana ?
Answers
Answer: 2460 kilometers
Step-by-step explanation:
Actual distance between Oaxaca and Guadalajara = 984 kilometers
Distance between Oaxaca and Guadalajara on a map = 4cm
Distance between Guanajuato and Tijuana on a map = 10cm
The actual distance between Guanajuato and Tijuana will then be:
= 984/4 × 10
= 246 × 10
= 2460 kilometers
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
x = 1 1/2
x = -1 1/2
x = 1 1/4
x = -1 1/4
Answers
Answer:
A. x = 1 1/2
Step-by-step explanation:
Answer:
A. x = 1 1/2
Step-by-step explanation:
PLEASE help find measure of angle - TEst review today
Answers
Answer:
alternate exterior angles and lines are parallel so
10x is congruent to 11x-8
second question
alternate interior angles and lines are paralles so angles are congruent
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
Answers
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
correct answers only pls.
Answers
Explanation: The number marked by the dot is 1.25. To convert decimals to fractions, think of it as a percent. 1.25% is like 125% (out of 100%) so that would be 125/100. Then divide by GCD (greatest common divider). GCD must be a multiple of both 125 and 100. The GCD in this case is 25. So divide numerator (125) and denominator (100) by 25 to get 5/4. Hope this helps :)