suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.
Answers
Answer:
P(white region) = 0.75 or 75%
Step-by-step explanation:
Find the area of the shaded region:
A = πr²
A = π(2)²
A = 12.56
Find the area of the entire dartboard:
A = πr²
A = π(4)²
A = 50.24
Find the probability that the dart hits the blue region:
P(blue region) = Area of blue region/ Total Area
P(blue region) = 12.56 / 50.24
P(blue region) = 0.25
As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1
P(white region) = 1 - P(blue region)
P(white region) = 1 - 0.25
P(white region) = 0.75
Related Questions
The interior ages of a triangle have measure
55,25", and x find the value of
these 3 problems ty
Answers
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
100 degrees just think about how all the angles in a triangle add up to 180 degrees
PLEASE HURRY! ANSWER ASAP
Which two grids can be combined to get 140%?
Square A) A grid model with 100 squares with 1 square shaded.
Square B) A grid model with 100 squares with 15 squares shaded.
Square C) A grid model with 100 squares with 40 squares shaded.
Square D) A grid model with 100 squares with 100 squares shaded
A and B
A and C
B and D
C and D
Answers
A.
1/100=0.01=1%
B.
15/100=0.15=15%
C.
40/100=0.40=40%
D.
100/100=1=100%
40% + 100% =140%
i hope this helps <3
The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?
Answers
Answer:
18
Step-by-step explanation:
There would be four faces on the top, left, bottom, and right. That equals 16. (4x4)
There would also 1 on each end, so you have to add 2. That equal 18.
This is assuming you paint the faces on the bottom. If you didn’t, the answer would be 14. (But it doesn’t say not to paint them.)
Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100e2t C) A = 100 + te2 D) A = 100 + e2t
Answers
The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.
Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]
In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.
The given case can be shown as a continuous growth, with:
Initial population, P = 100,
Rate of growth, r = 200% = 2, and,
The time period, t years.
Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:
[tex]A = 100e^{2t}[/tex].
Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.
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HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box with side lengths of 16 inches. In square inches, how much of the box is empty? Use π = 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
pls do mark my answer as the brainliest..........
Step-by-step explanation
portion of square empty = 256 - 153.86 = 102.14cm^2
how do i measure the bounce height of a tennis ball released from a height of 150 cm?
Answers
Answer:
You can use a slow motion camera and see clearly. You should probably put a meter ruler in the background so you can check the height
Step-by-step explanation:
What is the volume of the cylinder below?
1
1
4
5
A. 4577 units 3
B. 90 units
C. 367 units 3
D. 727 units 3
Answers
Answer:
36pi Units^3
Step-by-step explanation:
Slanted (oblique) cylinders have the same volume as standard (right) cylinders.
V=pi r-squared h
V=pix3x3x4
V=36 pi Units cubed
Answer:
The correct answer is 36 pi units^3
Step-by-step explanation:
Three kids,Nicole,oluwatomi and muna shared 500 in the ratio of 3:2:x respectively.If nicole share is 150,find the value of x
Answers
Answer: X= 5
Step-by-step explanation:
The ratio 3:2:x may also be written as Nicole:oluwatomi:muna which means that Nicole is 3y olwatomi is 2y and muna is xy. We also know that all their values together add up to 500
Using the information above we can set up an equation:
3y+2y+xy=500. If’s you simplify this equation you get 5y+xy=500
Going onto the next step we know that Nicole’s share is 150. We can set up an equation using this information:
150=3y. After simplifying we know that y=50
So if we go back to our first equation: 5y+xy=500 we can substitute y with 50.
5*50+x*50=500 after we solve this equation we can get the result X=5
Point A is (-6,-5) Point C is (4,0) Find the coordinates of point B on AC such that the ratio of AB to BC is 2:3.
Answers
Answer:
(-2, -3)
Step-by-step explanation:
x coord. from -6 to 4 is 10 units / 5 parts = 2
point B is 2 units * 2 from point A, so x = -2
y coord. from -5 to 0 is 5 units / 5 parts = 1
point B is 2 units * 1 from point A, so y = -3
Answer:
(-2,-3)
Step-by-step explanation:
khan acdemy
Which of the following theorems verifies that WXY=PME?
A. HA
B. HL
C. LA
D. AA
Answers
HL = hypotenuse leg
We see that WX = PM are the congruent legs (they are the same length due to the similar single tickmark). Also, XY = ME is the congruent pair of hypotenuses. The HL rule only works for right triangles, as the term "hypotenuse" would not apply for a non-right triangle.
The theorem used is HL.
What is theorem?
A theorem is a statement which has been proved true by a special kind of logical argument called a rigorous proof.
Given:
In both triangles
XW = MP (given)
XY = ME (given)
As, hypotenuse of both triangle is equal and leg of one right triangle are congruent to the hypotenuse.
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What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?
Answers
Answer
the third(5/2)
Step-by-step explanation:
[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]
=[(5^3)*(2^2)]/[(2^3)*(5^2)]
=[5^(3-2)]*[2^(2-3)]
=5*(1/2)
=5/2 or 2.5
Answer:
5/2
Step-by-step explanation:
Hope it helps!!
Btw it was right on the test!!
Based on the tables, what is the solution to the equation 2(3)X = 3x + 3? (4 points)
x = -1
x = 0
x = 1
X = 6
Answers
Answer: x=1
Step-by-step explanation:
When solving for x you must isolate the terms. In order to isolate the terms divide both sides by 3 in order to break up the 3x. that way you should have 2x=x+1 from there i will subtract the x from both sides, so i receive x=1.
Explanation:
2(3)x = 3x+3
6x=3x+3
3x=3
X=1
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
Answers
Answer:
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Step-by-step explanation:
See Attachment for complete question
To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;
Given that
[tex](x,y) = (-4,2)[/tex]
Testing Option A
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
Open Brackets
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
Open Brackets
[tex]-24 + 22 = 2[/tex]
[tex]2 = 2[/tex]
In both cases, the expression on the right hand side equates to that on the left hand side;
Hence, there's no need to check for other options.
Write an equation (in slope-intercept form) of a line whose slope is 10 and y-intercept is (0,-20)
Answers
Answer:
The answer is
y + 20 = 10( x - 0)Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the m is 10
Equation of the line using point ( 0 , - 20) is
y + 20 = 10( x - 0)Hope this helps you
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.
Answers
The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D. 2/5
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.
The probability will be calculated as:-
The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow
3/10
The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red
1/5
The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green
1/10
The order in which she draws out the red, green, and yellow pieces affects the probability.
2/5
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What is the sum of x?
Answers
Answer:
the answer is 40
Step-by-step explanation:
x+60
x=60-20
x=20
If water flows 12 feet in 9 seconds through the turbine, how far will the water flow in 54 seconds? If the water continues to flow at this rate, how long will it take the water to travel 54 feet?
Answers
12 x 6 = 72
72 feet in 54 seconds
54/72 = 0.75
1 foot = 0.75 seconds
0.75 x 54 = 40.2 seconds to travel 54 feet
Answer:
40.5 sec
Step-by-step explanation:
The flow rate is (12 ft) / (9 sec), or 4/3 ft/ sec.
In 54 sec, the water will have moved
(4/3 ft/sec)(54 sec) = 72 ft.
If the flow rate is 4/3 ft/sec and the distance covered is 54 ft, we divide
54 ft by (4/3 ft/sec) to determine how long it takes the water to flow 54 ft:
54 ft
---------------- = 40.5 sec
(4/3 ft/sec)
let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).
4x²+6x-3+12/2x+1. 4x²+6x+3+12/2x+1. 4x²+6x-3-12/2x+1. 4x²+6x+3-12/2x+1
Answers
Answer:
f(x)/g(x) = 4x^2+6x-3 remainder -12
or
f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)
or
((4x²+6x-3)-12)/(2x+1)
Step-by-step explanation:
f(x)= 8x³ + 16x² -15
g(x) = 2x+1.
Using long division,
f(x)/g(x) = 4x^2+6x-3 remainder -12
Which equation results from adding the equations in this system? 11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7 x = 35
Answers
Answer:
7x = -35
Step-by-step explanation:
11x -3y = -17
-4x + 3y = -18
Add the two equations together
11x -3y = -17
-4x + 3y = -18
--------------------------
7x + 0y = -35
7x = -35
Answer:
7x=-35
Step-by-step explanation:
Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525
Answers
Answer:
D. $520
Step-by-step explanation:
A 5% discount means you are paying 95% of the original price.
494 divided by 0.95 = 520
Answer:
d 520
Step-by-step explanation:
a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator
Does anyone know this one! Thanks
Answers
Answer: 22.4 cm!
Step-by-step explanation:
If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!
There were some people on a train. 19 people got off the train at the first stop. 17 people get on the train. Now there is 63 people on the train. How many people were on the train to begin with?
Answers
Answer:
65 people.
Step-by-step explanation:
We have to work backwards.
We end with 63 people, and at the stop we lost 19 people and gained 17.
[tex]x - 19 + 17 = 63\\[/tex]; if x = # people at the beginning
[tex]x - 19 + 17 = 63\\x - 2 = 63\\x = 65[/tex]
There were 65 people on the train to begin with.
Answer:
65 people
Step-by-step explanation:
Well, we need to work backward,
63 on the train and 17 got on so we do 63 - 17 = 46
Then 19 got off so 46 + 19 = 65
Hence, 65 people were on the train on the first stop.
Scanning the road can be thought of as a
A. way to improve your mileage
B. way to reduce your mileage
C. comprehensive drive test
D. systematic search process
Answers
Answer:
D
Step-by-step explanation:
Well scanning the road for mileage wouldn't be the correct formula for "scanning" but looking for a gas station sounds more right.
Answer: d
Step-by-step explanation: i did it and got it right
Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete. A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 4 x squared, M Subscript 2 Baseline. Second column entries are M Subscript 1 Baseline, negative 5. Which terms should Paul write in squares M1 and M2? 5x and −4x –5x and 4x –2x and 10x 2x and −10x
Answers
Answer:
5x and -4x
Step-by-step explanation:
Paul wants M₁ and M₂ to have a total that is +x, and a product that is -20x². The values of M₁ and M₂ that will do that are ...
5x and -4x
Answer:
A. -5x and 4x
:)
Hope this helps!
Good luck yalls
Answer pls I can answer ur question maybe
Answers
Answer:
[tex]C=5\pi \approx15.71[/tex]
Step-by-step explanation:
The arc length of the semicircle is basically the circumference of it. Therefore, we can use the circumference formula.
The circumference of a full circle is:
[tex]C=2\pi r[/tex]
Therefore, the circumference of a semicircle is half of that (ignoring the diameter):
[tex]C=\pi r[/tex]
The radius is 5.
[tex]C=\pi (5)=5\pi \approx15.71[/tex]
The arc length is around 15.71 units.
Answer:
39.25
Step-by-step explanation:
5^2=25
25x3.14=78.5
78.5/2=39.25
Find the value of x in each case:
Answers
Answer:
45°
Step-by-step explanation:
The sum of a triangle's angles is 180°.
Let's take the triangle FIG and try to express its angles in function of x.
● < F :
< F +3x = 180 => <F = 180 -3x
● < G :
IK and GH are paralell. IG is crossing them.
x and G are interior alternate angles so they have the same size.
< G = x
● < I :
We khow that < F = 180 -3x and < G = x
< I = 180-(< F + < G )
< I = 180 - ( 180-3x +x)
< I = 180 -(180-2x)
< I = 180 -180 +2x
< I = 2x
■■■■■■■■■■■■■■■■■■■■■■■
< F = 180 -3x
< G = x
< I = 2x
< I + > I + x + 2x = 360
2x + 180-x +3x = 360
4x + 180 = 360
4x = 180
x = 45°
●●●●●●●●●●●●●●●●●●●●●●●
Let's verify :
< F = 180 - 3*45 = 45 °
<G = x = 45°
< I = 2x = 90°
90° +45°+45° = 180°
So it's true.
Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.
Answers
Answer: 26801.38
Step-by-step explanation:
The following parameters are given:
The money invested which is
The principal P = 19000 dollars
The rate R = 3.5 %
Period t = 10 years
The formular for amount of money after 10 years will be
A = P( 1 + R% )^t
Substitute all the parameters into the formula
A = 19000( 1 + 3.5/100 )^10
A = 19000 ( 1 + 0.035 )^10
A = 19000 ( 1.035 )^10
A = 19000 × 1.41059
A = 26801.376
A = 26801.38 dollars
Each statement describes a transformation of the graph of y= In x. Which statement correctly describes the graph of y= In(x - 7) + 3?
Α.
It is the graph of y = In x translated 3 units up and 7 units to the left.
B.
It is the graph of y= In x translated 7 units down and 3 units to the right.
C.
It is the graph of y = In x translated 7 units up and 3 units to the right.
D.
It is the graph of y=In x translated 3 units up and 7 units to the right.
Answers
Answer:Answer: THE ANSWER IS
A)
Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.
Answers
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.
Which formula can be used to describe the sequence? –81, 108, –144, 192, ...
Answers
Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)
Answer:
C
Step-by-step explanation: