Seventh grade > EE.11 Probability of independent and dependent events NED
You spin the spinner twice.
5
2
4
3
What is the probability of landing on a 5 and then landing on a 2?
Write your answer as a fraction or whole number.
Answers
Step-by-step explanation:
each combination of 2 specific numbers has the same probability. there is no difference in probability between the individual numbers.
remember, a probability is always desired cases over all possible cases.
we have 4 different possible outcomes every time we spin the spinner.
to get a specific number has the probability of 1/4, because we want 1 specific outcome, and have in total 4 different possibilities.
now, we spin a second time. the probability to get a specific number is again 1/4.
but, if we consider both events to be connected, when we want to know the probability to get 2 specific numbers when spinning twice, we have to multiply the individual probabilities :
1/4 × 1/4 = 1/16
so, the probability to land first on a 5, and then secondly on a 2 is 1/16.
the same as for landing first on a 3, and then on a 5.
the same as for landing first on a 4, and then on a 4 (again).
that is because the individual spin results are independent. the result of the first spin does not impact in any way the result of the second spin (in contrary to e.g. pulling multiple cards without returning the previously pulled cards).
Related Questions
Four athletes from the Republic of Korea competed in a team wheelchair race at
the Paralympic Games. The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
How it many seconds did it take the fourth team member to complete his part of
the race?
Answers
The number of seconds taken by the fourth team to complete his part of the race is 45.116 seconds.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Four athletes from the Republic of Korea competed in a team wheelchair race at the Paralympic Games.
The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
Then the number of the seconds is taken by the fourth team will be
Let x be the number of the second taken by the fourth team.
Then we have
x + 46.685 + 48.869 + 49.33 = 190.729
x + 144.884 = 190.729
x = 45.116
More about the subtraction link is given below.
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Answer:
x= 45.845
Step-by-step explanation:
190.729-144.884
what is the complete factorization of the polynomial below?
x^3 - 4x^2 + x - 4
Answers
Answer:
[tex](x-4)(x^2+1)[/tex]
Step-by-step explanation:
[tex]x^3-4x^2+x-4[/tex][tex]=x^2(x-4)+1(x-4)[/tex][tex]=(x-4)(x^2+1)[/tex]can you please help me I pay you £50
Answers
find x
K (7x + 217
47
M
Answers
Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16
solve this system using the Elimination method
-4x - 2y =-18 x + 3y = 8
Answers
Answer:
Elimination:
-4x - 2y = -18 -4x - 2y = -18
x + 3y = 8 | ×4 ------> 4x + 12y = 32 +
10y = 14
y = 1,4
x + 3y = 8
x + 3(1,4) = 8
x + 4,2 = 8
x = 3,8
a circle has a diameter of 8 m. what is the circumference? use 3.14 for pie
Answers
radius = 4m
circumference of a circle = 2πr
circumference = 2(3.14)(4)
circumference = 25.12
Step-by-Step Explanation:
d = 8 m
r = 8/2 = 4 m
π = 3.14
Circumference = 2πr
Therefore,
= 2πr
= 2 * π * r
= 2 * 3.14 * 4
= 6.28 * 4
= 25.12 m
Circumference = 25.12 m
Given →n = (1, 2) and →m = (6, 12) , Find the magnitude of 1/2 →m - 2→n
A.√3
B.√5
C.3
D.5
Answers
Answer:
b
Step-by-step explanation:
................................
If A is a prime factor of 36, and B is a prime factor of 15, what is the greatest possible difference between A and B?
Answers
Answer:
3
Step-by-step explanation:
Prime factorization
36 = 3 * 3 *2 * 2
15 = 3 * 5 The biggest difference is 5 -2 = 3
easy and also crown if right.
Answers
Answer:
- 8n + 9Step-by-step explanation:
Given
A = -3n + 2B = 5n - 7Find A - B by substitution
A - B = - 3n + 2 - (5n - 7) = - 3n + 2 - 5n + 7 = - 8n + 9Which point on the scatter plot is an outlier?
A graph shows scale on x axis from 0 to 14 at increments of 2 and a scale on y axis from 0 to 70 at increments of 10. Dots are made at ordered pairs 0, 0 and 1.8, 5 and 2.5, 8 and 2.9, 11 and 3.7, 15 and 4.1, 13 and 4.2, 21 and 5.5, 18 and 5.4, 29 and 6.1, 25 and 6, 30 and 7, 31 and 7.8, 39 and 7.3, 42 and 8.2, 45 and 9, 50. The point 9, 50 is labeled as P, the point 8, 30 is labeled as Q, the point 10, 10 is labeled as R, and the point 0, 0 is labeled as S.
Point P
Point Q
Point R
Point S
Answers
Answer:
The point 9,50
Step-by-step explanation:
All the other ones are within a reasonable distance of each other.
Answer: The correct answer would be 9,50 or Option A (Point P)
Step-by-step explanation:
The price of petrol goes up 10%, by how much percent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?
Answers
[tex]\large{\sf \boxed{ \sf 9.09 \ \%}}[/tex]
Explanation:
Let the price be p,
When the price is increased by 10%,
Increased price = (100% + 10%) × p = 1.1p
So reduction percentage:
[tex]\rightarrow \sf \dfrac{1.1p - p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{0.1p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf 9.090909091 \% \quad \approx \quad 9.09 \% \quad (rounded \ to \ nearest \ hundredth)[/tex]
A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.
Answers
The volume of the tank of water is 653.12 cubic meters.
How to get the volume?
For a cylinder of height H and diameter D, the total volume is given by:
[tex]V = 3.14*(D/2)^2*H[/tex]
In this case, we know that:
D = 8m
H = 13m
Replacing that in the above equation:
[tex]V = 3.14*(8m/2)^2*13m = 653.12 m^3[/tex]
So the volume of the tank of water is 653.12 cubic meters.
If you want to learn more about volumes:
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If you invest $1600 at 5% for 3 years, how much simple interest is earned? ***Look at your formula chart for the interest formula!!***
FOR 25 POINTS
Answers
Answer:
$240
Step-by-step explanation:
[tex]1600 \times .05 \times 3 = 240[/tex]
help i need a answer fast
Answers
Answer: It is Equation 1 and Equation 3
Step-by-step explanation:
1. Let u (1.-3,2), v= (-1.4.2). Then find b) a unit vector in the same direction of 4v.
Answers
4v points in the same direction as v, so all you need to do is normalize v.
Simply multiply it by the reciprocal of its magnitude:
[tex]v = (-1, 4, 2) \implies \|v\| = \sqrt{(-1)^2 + 4^2 + 2^2} = \sqrt{21}[/tex]
[tex]\implies \dfrac{v}{\|v\|} = \dfrac{(-1,4,2)}{\sqrt{21}} = \left(-\dfrac1{\sqrt{21}}, \dfrac4{\sqrt{21}}, \dfrac2{\sqrt{21}}\right)[/tex]
Let h = number of hours to bike 165 mi. Let m = number of miles biked in 7 hr. Which proportion can be used to determine the value of h?
Answers
Answer:
[tex] \frac{m}{h} = \frac{165}{7} [/tex]
The velocity of v in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop h in feet and the velocity v° in feet per second of the coaster at the top of the hill by the formula v°=[tex]\sqrt{v^{2}-64h[/tex] . What velocity must a coaster have at the top of a 50-foot hill to achieve a velocity of 57 feet per second.
Answers
The velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
What is Velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity(v) in feet per second of a roller coaster at the bottom of a hill is related to the vertical drop(h) in feet and the velocity(v°) in feet per second of the coaster at the top of the hill by the formula v°=√(v²-64h).
Therefore, the velocity of the coaster at the top should be,
[tex]v^o=\sqrt{(v^2-64h)}\\\\v^o=\sqrt{[57^2-(64\times 50)]}\\\\v^o=\sqrt{49}\\\\v^o = 7\rm\ feet/second[/tex]
Hence, the velocity that the coaster must have at the top of a 50-foot hill to achieve a velocity of 57 feet per second is 7 feet/second.
Learn more about Velocity:
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X+8
What is the solution of 5x=T > 0?
XS-8 Or X2 }
L
X <-8 or X › 5
-8≤x<5
-8
PLEASE HELP
Answers
Answer:
but good luck with that man
A job cost the customer $28,244 66. If 41% of this job was labor, what was the actual labor cost to the customer?
Answers
Answer:
$11,580.31
Step-by-step explanation:
turn 41% into a decimal:
0.41
$28,244.66 * 0.41
11,580.31
mark brainliest pls
<~~• ¥ Pls HELP me!! ¥ • ~~>
Answers
Answer:
A = 16
Step-by-step explanation:
Formula b*h/2
b =8
h =4
so
A= 8*4/2
A = 16
Find the surface area of the prism. Picture attached.
Answers
Answer:
18.2m^2
Step-by-step explanation:
2 x 1 ÷ 2 = 1 both sides are set to 1
base 3 x 1 = 3
2.2 x 3 = 6.6
add up all sides 6.6 + 6.6 + 3 + 1 + 1
30% of 210 is what number?
Answers
multiply 30% by 210
210 x 0.30 = 63
answer: 63
A shoreline is eroding at a rate of 1/3 foot per 2 months how many feet are eroding this year
Answers
Answer:
2 feet
Step-by-step explanation:
The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.
PLEASE HELP, URGENT!!!!
Find M
Answers
Answer:
Step-by-step explanation:
cos^-1(√(111))/2√(37) = 30°
m<C = 30°
PLEASE ANSWER ALOT OF POINTS
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations or lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answers
Answer:
Part A 1 solution
Part B 1,4
Answer:
Part A : It has one solution because the lines intersect at one point
Part B : The solution is the points where the lines intersect
Which is (3,4)
9x^8 y^2 - 6x^3 y^4 / 3xy
simplified
Answers
Answer:
None of the choices are correct
Stefofp-by-step explanation:
Simplify the following:
(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)
Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):
(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)
Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):
x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)
3 - 1 = 2:
x^2 y^(2 - 1) (-2 y^2 + 3 x^5)
2 - 1 = 1:
Answer: x^2 y (-2 y^2 + 3 x^5)
What is the solution to 3+4e ^x+1 =11
Answers
Answer:
The solution would be x=1n(7/4)
Step-by-step explanation:
The decimal form would be 0.55961578
Answer:
= In (7/4)
Step-by-step explanation:
3+4+1=11
4+4=11
4+4=11
4+4=11
4+4=11
4+4−4=11−4
4=7
44=7
Find the value of x. Geometry Magic 20 set 3
Answers
Answer:
The value of x is 64.
Step-by-step explanation:
The base angles of an isoceles triangle are congruent.
[tex]x + 58 + 58 = 180[/tex]
[tex]x + 116 = 180[/tex]
[tex]x = 64[/tex]
Integrate 4√x^5 directly
Answers
Step-by-step explanation:
firstly we take the constant out of the integral making it
4 × the integral of x^5/2
the integral of x^5/2 is equal to 2/7(x^7/2)
final answer: (8/7) × (x^7/2)
make sure to comment if you have any doubt.
40.
Two similar squares have matching sides whose lengths are in the ratio 7:5 Find the ratio of their areas.
Answers
Answer:
49:25
Step-by-step explanation:
When you have a side length ratio given, the area ratio will be the side length ratio squared.
This can be thought of quite easily, say you have 1 square with a side length of 7 and another square with a sidelength 5.
Of course the squares have a side length ratio of 7:5
The area of the first square is 7*7 = 49
The area of the second square is 5*5 = 25
Then clearly the ratio of the areas is 49:25
