The probability of an American roulette wheel landing on a green pocket is 1/19, which is calculated by dividing the number of green pockets by the total number of pockets on the roulette wheel.
Explanation:The student is asking about the probability of a specific outcome in a random event, specifically, the likelihood of landing on a green pocket in an American roulette game. To find this probability, we need to look at the total number of pockets and how many of them are green. With 38 total pockets and 2 being green, the probability that the roulette wheel will land on a green pocket is calculated by the ratio of green pockets to total pockets.
To calculate it: Probability = Number of green pockets / Total number of pockets = 2 / 38 = 1/19
This simple division computes the likelihood of a single spin resulting in a green pocket landing. Importantly, this calculation assumes each pocket has an equal chance of being landed on and that there are no biases in the wheel.
what is 4kx+10kx=7 solve for x
Final answer:
To solve the equation 4kx+10kx=7 for x, combine like terms to get 14kx = 7, then isolate x by dividing both sides by 14k, resulting in x = 1 / (2k).
Explanation:
The question asks: what is 4kx+10kx=7 solve for x. To solve this equation for x, we first need to combine like terms. We combine 4kx and 10kx to get 14kx. The equation then becomes 14kx = 7. To isolate x, we divide both sides of the equation by 14k. This gives us x = 7 / (14k). It simplifies further to x = 1 / (2k). Therefore, the solution to the equation is x = 1 / (2k).
If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.
A equation whose solutions form a straight line on a coordinate plane is a what
Two sisters, Allie and Bonnie are saving money for a trip to Europe. Allie has $1500 and adds $500 each month to this amount. Bonnie has $2300 and adds $400 each month to this amount. How many months must Allie save to exceed the amount of money that Bonnie has saved
What is the LCD of 1/3 and 3/7
Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?
Please help me on this question and explain your answer thanks
1) AB¯≅AD¯ Given
2)∠ACD is a right angle.- Given
3) m∠ACD=90° -Definition of right angle
4) m∠ACB=90° -Given
5) m∠ACB=m∠ACD -Transitive Property of Equality
6) ∠ACB≅∠ACD Definition of congruent angles
7) C is the midpoint of BD¯ Given
8)C bisects BD¯ ?
9) BC¯≅CD¯ Definition of bisect
10) AC¯≅AC¯ Reflexive Property of Congruence
11) △ABC≅△ADC -SAS Congruence Postulate
What is the correct reason for Statement 8?
Given
Definition of bisect
Definition of congruent segments
Definition of midpoint
Answer:
By definition of midpoint.
Step-by-step explanation:
proof:
1.Statement: [tex]\overline{AB}\cong \overline{AD}[/tex].
Reason: Given.
2.Statement: [tex]\angleACD[/tex] is a right angle.
Reason:Given.
3.Statement:[tex]m\angle ACD=90^{\circ}[/tex].
Reason: By definition of right angle.
4.Statement: [tex]m\angle ACB=90^{\circ}[/tex].
Reason: Given.
5.Statement: [tex]m\angle ACB=m\angle ACD[/tex]
Reason: Transitive property of equality.
6. Statement:[tex] m\angle ACB\cong m\angle ACD[/tex].
Reason: By definition of congruent triangles.
7.C is the midpoint of [tex]\overline {BD}[/tex].
Reason: Given.
8.Statement: C bisect [tex]\overline{BD}[/tex]
Reason: By definition of midpoint.
9.Statement:[tex]\overline{BC}\cong \overline{CD}[/tex]
Reason: By definition of bisect.
10.Statement:[tex]\overline{AC}\cong\overline{AC}[/tex]
Reason: By reflexive property of congruence.
11.Statement:[tex]\triangle ABC\cong \triangle ADC[/tex].
Reason: SAS congruence postulate.
Jan can type 61.3 words per minute. How many words can she type during a 15-minute test
Answer:
919.5
Step-by-step explanation:
Simplify 8 - (-5) - 4(-7).
-63
-15
41
68
How many integers less than 1000 have no factors (other than 1) in common with 1000?
geometry proof
help please
Round 28,573 to the nearest thousand
Jessie's bus ride to school is 5 minutes more then 2/3 the time roberts bus ride. if jessie's time riding the bus is y and robert's time riding the bus is x write an equation to represent the situation
Jessie's total bus ride time, represented by y, is 5 minutes longer than [tex]\frac{2}{3}[/tex] of Robert's bus ride time, which is represented by x, leading to the equation y = ([tex]\frac{2}{3}[/tex])x + 5.
Jessie's bus ride to school is 5 minutes longer than [tex]\frac{2}{3}[/tex] the time of Robert's bus ride. Given that Jessie's time riding the bus is represented by y, and Robert's time riding the bus is represented by x, the equation to represent this situation is:
y = ([tex]\frac{2}{3}[/tex])x + 5.
This equation indicates that if you take [tex]\frac{2}{3}[/tex] of Robert's ride time (x) and then add 5 minutes, you'll get Jessie's bus ride time (y).
If 75 cans cost 56.25 dollars how much would it be for 3 cans
56.25 / 75 = 0.75 for each can
0.75 *3 = $2.25 for 3 cans
solving for a variable in terms of other variables using addition or subtraction with division calculator
If you shift the quadratic parent function, f(x) = x2, left 12 units, what is the equation of the new function?
A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2 + 12
The lengths of the sides of a triangle are represented by 3 consecutive even integers. if the perimeter of the triangle is 72 feet, find the lengths of its sides
Yesterday raina had c baseball cards .today she got 24 more . Using c , write an expression for the total number of baseball cards she has now .
What is the next number in the sequence? 3, 6, 12, , ... place an x by the pattern of the sequence. add 2 subtract 2 times 2?
Evaluate the given expression if k=-84
5 |k+10| - |4k|
Under which condition does a country with a small GDP have a large per capita income?
What is a cubic polynomial function in standard form with zeroes 1, –2, and 2?
What is the area of the figure?
Assume that all angles are right angles.
A. 980 square inches
B. 1000 square inches
C. 1200 square inches
D. 1100 square inches
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes?
74.3%
55.2%
44.8%
37.2%
Actually variation is simply equivalent to the square of the correlation coefficient r. So we can say that:
variation = r^2
So given an r value of 0.743, so the variation is:
variation = 0.743^2
variation = 0.552
Answer:
55.2%
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 69 square meters. find the area of the original square.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.40. How many nickels and how many dimes are in the jar?
How many ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row?
1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
What is Permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangement.
[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
n=Total number of objects
r=Selected number of objects
Given,
There are ten number of seats
n=10
We have to arrange 8 students so r=8.
We need to arrange eight students in ten seats in a row.
So n=10, r=8
[tex]10P_{8} =\frac{10!}{(10-8)!}[/tex]
10P₈=10!/2!
=10×9×8×7×6×5×4×3×2/2
=10×9×8×7×6×5×4×3
=1814400
Hence in 1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
To learn more on Permutation click:
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Scientists estimate that sea level has risen about _____ over the past 100 years.
A. 10 to 25 meters
B. 0 to 1 centimeters
C. 10 to 25 centimeters
D. 100 to 250 centimeters
Answer: The answer is (C) 10 to 25 centimetres.
Step-by-step explanation: We are to select the correct range by which the sea level has risen about over the last 100 years.
Scientists estimates that because of warming of the ocean and increased melting of land-based ice such as glaciers and ice sheets, the level of sea has risen from 10 to 25 centimetres over the last 100 years.
Thus, (C) is the correct option.
3/8(z+11)=y solve for z in the literal equation