TULI
Spinner A
Spinner
025
05
Tim has two spinners, spinner A and Spinner B.
Each spinner can only land on red or bloe.
The probability that spinner A will land on red is 0.5
The probability that spinner will land on red is 0.6
The tree diagram shows this information
Tim spins spinner A once and he
spins spinner Bonce
He does this a number of times.
The number of times both spinners 0.5
land on red is 84.
Work out an estimate for the
number of times both spinners land on blue.
red
05
blu
blue
Answers
So we would expect both spinners to land on blue once, approximately.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.
Here,
To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities:
P(A and B) = P(A) × P(B)
In this case, we want to find the number of times both spinners land on blue, which is equivalent to the probability that spinner A lands on blue (0.5) multiplied by the probability that spinner B lands on blue (0.4), because the events are assumed to be independent. Therefore:
P(both blue) = P(A blue) × P(B blue) = 0.5 × 0.4 = 0.2
This means that the probability of both spinners landing on blue is 0.2, or 20%.
To estimate the number of times both spinners land on blue out of a certain number of trials, we can use the expected value of a binomial distribution, which is given by:
E(X) = n × p
where X is the random variable representing the number of successes (in this case, both spinners landing on blue), n is the number of trials, and p is the probability of success (0.2 in this case).
We are given that the number of times both spinners land on red is 84, which is equivalent to the number of trials minus the number of times both spinners land on blue. Let's denote the number of trials as n. Then we have:
n - 84 = number of times both spinners land on blue
Substituting the values we have found, we get:
n - 84 = 0.2n
Simplifying and solving for n, we get:
0.8n = 84
n = 105
Therefore, the estimated number of times both spinners land on blue out of 105 trials is: number of times both spinners land on blue
= 0.2 × 105 - 84 ≈ 1
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Related Questions
The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?
Answers
Your answer would be option three, y = 1/3 x -9 :)
Enter the values for the highlighted variables to
complete the steps to find the sum:
az
b =
3x 9
+
2x - 6 6 - 2x
CE
d =
3 x
9
+
2x-6 al 2x-6)
3x b.
+
2x-6 2x - 6
3х – с
2x-6
d{x - e)
f(x-3)
= 9
e =
f=
III
g=
DONE
Answers
Answer:
a = - 1
b = - 9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
For a;
6 - 2x = - (2x - 6)
For b;
-1 * 9 = - 9
For x ;
3x + (-9) = 3x - 9
3x - 9 = d(x - e)
Factorizing :
3(x - 3)
d = 3 ; e = 3
2x - 6 = f(x - 3)
Factorize :
2x - 6 = 2(x - 3)
3(x - 3) / 2(x - 3)
g = 3/2
• I am a fraction less than 1.
My denominator is a multiple of 5.
My denominator is less than 20.
• My numerator is a multiple of 4.
My numerator is 3 less than my
denominator.
Answers
Answer:
12/15
Step-by-step explanation:
3x5=15
4x3=12
15-12=3
Therefore the answer is 12 over 15
Which of these could be the graph of F(x) = 3 • (0.5)^x?
Answers
The graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The graph of the function is cutting an intercept at point 3 at the y-axis and is lying about the x-axis. The graph of the function is attached with the answer below.
Therefore, the graph of F(x) = 3 • (0.5)^x is represented by the third graph in the image. The correct option is C.
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A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answers
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
if sides of a triangle have lengths 8 ft and 12 ft.
Answers
Answer:
[tex]20 > c > 4[/tex]
Step-by-step explanation:
Given
[tex]Sides =8\ and\ 12[/tex]
Required
The third side
To do this, we make use of the triangle inequality theorem which implies that:
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Where
[tex]a,b,c\to sides[/tex]
So, we have:
[tex]8 + 12 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]12 + c > 8[/tex]
Solve all inequalities
[tex]8 + 12 > c[/tex]
[tex]20 > c[/tex]
[tex]8 + c > 12[/tex]
[tex]c > 4[/tex]
[tex]12 + c > 8[/tex]
[tex]c > -4[/tex]
Ignore negative inequalities.
So, we have:
[tex]20 > c[/tex] and [tex]c > 4[/tex]
Combine
[tex]20 > c > 4[/tex]
The above implies that the third length is between 5 and 19 (inclusive)
Write an equation and solve:
Kiran is trying to save $144 to buy a new guitar. she has $34 and is going to save $10 a week from money she earns mowing lawns. she wants to know how money weeks it will take her to have enough money to purchase the guitar.
Answers
Answer:
11 weeks
Step-by-step explanation:
34+10x=144 equation
10x=110
x=11
check answer
11*$10=$110 money after 11 weeks at $10/week
+. 34 money saved
=. 144 money needed.
Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}
Answers
Answer:
the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)} is
{(-2,1),(3,2),(-3,3),(2,4)}.
Which of the following gives the number of petals of the rose curve r=6cos 20 ?
(A) 1 (B)2 (C) 4 (D) 6
(E) 12
please include work
Answers
assalam o aalaikum
Step-by-step explanation:
1. At the Blue Jays game, Steven Matz (height = 1.2m) throws a baseball(140g) straight in
the air with 95N of force for 30cm.
1. What is the speed of the ball 2.4 m above the ground?
2. What is the maximum height of the ball (assuming no air resistance)?
helppppp! how do I find this?
Answers
Answer:
y=3x-6
Step-by-step explanation:
(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.
(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.
Plugging in the two points from the graph.
Hence, y=3x-6
the product of 6 less than a number and 4 more than the
number
Answers
Answer:
(x-4)(x+8)
Step-by-step explanation:
Determine the value of angle ABC?
Answers
Answer:it is about 90-93 degrees and also it is a obtuse
Step-by-step explanation:
it is simple because it the other side to the right says 98 if you put it in it position it is alittle bigger so thats how i got my answer
Answer:
∠ ABC = 62°
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc AC
AC = 360° - (138 + 98)° = 360° - 236° = 124° , then
∠ ABC = [tex]\frac{1}{2}[/tex] × 124° = 62°
A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).
The triangle was translated…
The answers:
4 units to then left
4 units up
4 units to the right
4 units down
Answers
A cross section is made parallel to the bases of a right triangular prism. Which of the following statements is true regarding the area of the cross section and the area of the base?
The area of the cross section is less than the area of the base.
The area of the cross section is greater than the area of the base.
There is insufficient data to determine these area relationships.
The area of the cross section is equal to the area of the base.
Answers
Answer:
The area of the cross section is equal to the area of the base.
Step-by-step explanation:
help I don't know the answer
Answers
p = 6,000
step-by-step explanation:
I = PRT
just add in the numbers
14,400 = p0.08(30)
14,400 = 2.4p
/2.4 /2.4
6,000 = p

Pls someone help me
Answers
triangle 1
10 x 12 = 120
120/2 = 60
triangle 2
10 x 12 = 120
120/2 = 60
triangle 3
18 x 12 = 216
216/2 = 108
triangle 4
18 x 12 = 216
216/2 = 108
add
108 + 108 + 60 + 60 = 336 square units
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
Answers
#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters
Answers
Answer:
Solution given;
The space occupied by a wooden block is 4cm × 2cm × 2cm=_16__cm 3 Which is equivalent to____16___mililiters
Step-by-step explanation:
we have
1cm³=1millilitre.
Twenty times the square of a non-zero number is equal to 20 times the number.
Answers
Answer:
the number could be 0 or 1
Step-by-step explanation:
20x² - 20x = 0
20x(x - 1) = 0
20x = 0
x = 0
x-1 = 0
x = 1
The sum of a number and 20 is equal to 25 plus 5. What is the number? * 25 puntos a. 15 b. 20 c. 10
Answers
Answer:
I believe your answer is 10! :)
what is 3 /8 times 4/7 in simplest form
Answers
Answer:
3/14
Step-by-step explanation:
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
Answers
I think that the answer is A.
Help!!!
A) Mode
B) Mean
C) Median
Answers
Answer:
Median
Step-by-step explanation:
Median will be misleading are not asking for the midd;e price they are asking for the average price in this case you will use mean to find
I need the answer pls answer fast
Answers
Answer:
A = 846 in²
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals ) , then
A = [tex]\frac{1}{2}[/tex] × 36 × 47 = 18 × 47 = 846 in²
Answer:
846
Step-by-step explanation:
area of a rhombus is [tex]\frac{pq}{2}[/tex] where p and q are the two diagonals ..
so [tex]A=\frac{36*47}{2}[/tex]
A=846
what is
1/3 x (15+6)
Answers
Answer:
First, you do 15+6 (because of the parentheses)
You get 21
then you have to do 1/3 times 21 and you get 7
Answer:
7
Step-by-step explanation:
Using BODMAS which stands for:
(Bracket, of, Division, Multiplication, Addition and Subtraction)
We first treat the bracket
(15+6)=21
We then treat the division
(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)
[tex]\frac{1}{3}[/tex]
Then we move onto the multiplication which is the last part
[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7
February has 28 days. It rained on [tex]\frac{3}{4}[/tex] of the days in February. What was the total number of rainy days during this month?
Answers
Answer:
21
Step-by-step explanation:
28x3/4
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.4\text{ in}10.4 in and the height of the pyramid is 9.6\text{ in}9.6 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
21.6in^3
Step-by-step explanation:
\text{Volume of Pyramid:}
Volume of Pyramid:
V=\frac{1}{3}Bh
V=
3
1
Bh
Where B is the area of the base
\text{Perimeter of base}:
Perimeter of base:
\,\,10.4
10.4
\text{Side length of base}:
Side length of base:
\,\,\frac{10.4}{4}=2.6
4
10.4
=2.6
Divide perimeter of square by 4 to get side length
\text{Area of base}:
Area of base:
\,\,2.6^2=6.76
2.6
2
=6.76
Area of a square is s^2
B=
B=
\,\,6.76
6.76
h=
h=
\,\,9.6
9.6
given
V=
V=
\,\,\frac{1}{3}Bh
3
1
Bh
V=
V=
\,\,\frac{1}{3}(6.76)(9.6)
3
1
(6.76)(9.6)
Plug in
V=
V=
\,\,21.632
21.632
V\approx
V≈
\,\,21.6\text{ in}^3
21.6 in
3
Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus
Answers
Answer: 12.56 cm
Step-by-step explanation:
Pi looks like this π or 3.14 or 22/7
A formula for circumference is: C = 2π r
The radius or r listed in the diagram is 2cm.
1) Plug r into the equation...
C = 2π 2
2) Simplify the equation
C = 4π
3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)
However both answers come out to be 12.56
A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.
Answers
the kitten would be gray
A boat travels 120 miles with the current down the river in less time than it takes to travel 80 miles against the current up the river. The boat makes the entire trip in 12 hours. The speed of the boat, without the current, remains constant at 20 miles per hour what is the speed of the current.
Answers
Answer:
180 miles is answer
cuz it takes 80 miled to travel in 12 hours
Answer:
The speed of the current is 10 mph
Step-by-step explanation:
x= speed of the current
[tex]\frac{80}{20-x} + \frac{120}{20+x} = 12[/tex]
80 (20+x) + 120 (20-x) = 12 (20-x) (20+x)
x=10