The tree diagram below illustrates the possible outcomes of three tosses of a balanced coin. What is the probability that “heads” will come up exactly two out of three times
please explain step by step
Answers
3/8 = 0.375 = 37.5%
====================================================
Explanation:
Start at the very left hand side of the diagram. Also, start at the top as well. So you'll start at "heads". Trace along the top most path and you'll get "heads, heads, heads". This says we got 3 heads in a row. But we want a case where heads only comes up exactly twice. So we rule out this scenario.
Go back to the first "heads". Now trace along the top, but don't land on that third "heads". Instead, go to the "tails" that is underneath in that last column. So you'll have "heads, heads, tails". This time we got exactly two heads out of three tosses. Off to the side somewhere, make a tally of how many times this scenario happens. Another time it happens is when we get "heads, tails, heads". Another time is when you get "tails, heads, heads".
There are only three situations where we get exactly two heads out of three tosses. This is equivalent to the event "getting exactly one tail", so that might be an easier scenario to track down.
If you traced out all of the possible paths, you would find that there are 8 different paths. Note how 2^3 = 2*2*2 = 8 is a numerical way to compute this, due to the fact that each coin toss has 2 outcomes and we have three tosses total.
Since we have three outcomes where we got exactly two heads, out of 8 outcomes total, this leads to the answer being 3/8
Side note: 3/8 = 0.375 = 37.5%
----------------------
We could also solve this problem by listing out all the possible scenarios. I'll use H for heads and T for tails. Something like HHT means we got heads twice in a row, then tails later. The order matters.
Listed below are the 8 possible outcomes. The items in bold represent situations where we get exactly two heads, which is the same as getting exactly one tail.
HHHHHTHTHHTTTHHTHTTTHTTTThe order of each of those eight items is the same as the order if you were to trace out the possible paths of the table given (starting at the top and moving down). We can see that there are 3 cases where we get exactly two 'H's out of 8 possible outcomes total. So that's another way to arrive at 3/8
Related Questions
what is the slope of the line?
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
Since the line is going 2 down and 1 left. The slope is 2.
The line crosses the y-intercept at -3.
y = 2x - 3
Answer:
m = 2
Step-by-step explanation:
You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.
Hope this helps! :D
-Luna
SOMEONE PLS HELP IM CONFUSED , WILL MARK BRAINLIEST
Answers
Answer. multiply 13 and 64 then round to the nearest tenth
Step-by-step explanation:
I hope it helps :)
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answers
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
Pedro is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate,
strawberry, or vanilla. For the size, he is given the option of small, medium, or large. For the
cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order
combinations are there?
Answers
Answer:
Hope this helps :D
The answer is 27(If i`m not mistaken)
Answer:
27 combinationsStep-by-step explanation:
There are options:
Flavor = 3Size = 3Cone = 3Number of possible combinations:
3*3*3 = 27
Do not give me any types of links.
Find the surface area of a sphere with radius 5 using the formula SA=4pir2
Leave answer in terms of n
A. 75 pi units squared
B. 100 pi units squared
Answers
Answer:
B. 100 pi units squared
Step-by-step explanation:
Find the surface area of a sphere with radius 5 using the formula SA=4pir²
Leave answer in terms of π = pi
From the question
The formula for the Surface Area if a square = 4 × pi × r²
r = 5
Hence,
Surface Area of a Sphere = 4 × pi × 5²
= 100 pi units squared
Option B is the correct option
B=cos-1(16) as a decimal
Answers
Hope it helps!
The stem-and-leaf plot shows the numbers of hours 10 students studied for their math exam. Find the mean, median, mode, range, and interquartile range of the data
Answers
The question is incomplete as the stem and leaf plot required to to provide data for y question isn't given.
In other to help with this question, I have attached a stem and leaf plot with 10 data values and I will be calculating the required statistical measures for the dataset. The knowledge can thus be applied to solve similar questions on your exact data set.
Answer:
Kindly check explanation
Step-by-step explanation:
Firstly, we need to write out values if the dataset :
Each value in the dataset is a combination of the stem and the corresponding leaf or leaves.
For the stem plot attached :
Dataset , X : 08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The mean :
Σx / n
n = sample size = 10
= 225 / 10
= 22.5
Arranging data on ascending order :
08, 12, 17, 18, 19, 22, 23, 31, 35, 40
The median :
1/2(n+1)th term
1/2(11)th term = 5.5 th term = (5+6)th term / 2
Median = (19+22)/2 = 20.5
Mode = all dataset (since they all occur once).
Range = (maximum - minimum) = 40 - 8 = 32
Interquartile range : (Q3 - Q1)
Q3 = 3/4(n+1)th term ; 3/4(11) = 8.25th term
Q3 = (8th + 9th) term / 2 = (31+35)/2 = 33
Q1 = 1/4(n+1)th term ; 1/4(11)th term = 2.75 th term
Q1 = (12+17)/2 = 14.5
Interquartile range : (Q3 - Q1) = 33 - 14.5 = 18.5
Answer:
Median: 11
Mode: 3
Range: 30
Step-by-step explanation:
Just took the test :D
what is the answer to 26=179-9k
Answers
16.6 is the answer. Hope this is right, i’m pretty sure i did it correctly
Please help
Which one is correct?
Answers
Answer:
The first one
Step-by-step explanation:
3/5 and 9/25
Find the value of x to the nearest tenth. In a triangle, one angle is 46 degree and second angle is 20 degree. The adjacent side of 46 degree angel is 7 and opposite side is x.
Answers
The value of x in the triangle is approximately 7.2 to the nearest tenth.
To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).
We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
tan(46°) = x/7
Take the tangent of both sides of the equation:
tan(46°) = x/7
Multiply both sides by 7 to isolate x:
7 x tan(46°) = x
Use a calculator to find the tangent of 46 degrees:
tan(46°) ≈ 1.0355
Multiply 7 by the approximate value of the tangent:
7 x 1.0355 ≈ 7.249
Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.
Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.
Learn more about trigonometric;
https://brainly.com/question/21286835
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The value of x to the nearest tenth is approximately 5.0.
To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.
Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.
sin(A) = C / B
sin(46°) = x / 7
To find the value of x, we can rearrange the equation:
x = 7 * sin(46°)
Using a calculator, we can evaluate sin(46°) and calculate the value of x:
x ≈ 7 * 0.7193
x ≈ 5.0351
for such more question on right triangle
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Help! I’ll give brainliest!
Answers
Answer:
d) -2
Step-by-step explanation:
(-1 - 19)/(16 - 6)
-20/10 = -2
WHATS TYE ANSWER TO ALL OF THESE! I NEED TO KNOW ASAP! PLEASE!
Answers
Answer:
[tex]x+3>27\\ x-8>12\\ 7x\leq 14\\ x+15\geq 4[/tex]
Find the range of the data.
67, 63, 72, 62, 64, 79, 74, 66
Answers
Answer:
The range is 17
Step-by-step explanation:
67, 63, 72, 62, 64, 79, 74, 66
To find the range of the data, take the largest number and subtract the smallest number.
The largest number is 79
The smallest number is 62
79-62 = 17
The range is 17
What is the answer to this AND WHY! Thank you!
(−1+√5)/2
Answers
Answer: .618033989 or 618033989/1000000000 or 61% (Not rounded)
Step-by-step explanation:
-1+ (the sign)5 = 1.236067977 and if you divide that by two you get .618033989 or 618033989/1000000000 or 61% (Not rounded)
Answer: 0.61803398 Or just put 0.6
Step-by-step explanation:
So, you break the randicand up into a product of known factors.
Or, in other words, find the square root of 5 which is 2.2. Then, you subtract
-1 which gives you ( 2.2 - 1 ) 1.2. Finally, divide by 2 and you final answer is 0.6
Just a few more, help??????????
Answers
Answer:
53
Step-by-step explanation:
complementary angle meaning it needs to have the whole sum of 90 degree.
90-37=53
A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answers
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
please help
Mofor and Shanice are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mofor sold 12 small boxes of oranges and 3 large boxes of oranges for a total of $96. Shanice sold 6 small boxes of oranges and 6 large boxes of oranges for a total of $84. Find the cost each of one small box of oranges and one large box of oranges.
Answers
Answer:
$6 = cost of small box
$8 = cost of large box
Step-by-step explanation:
Let s = cost of small box
l = cost of large box
(1) 12s + 3l = 96 (2) 6s + 6l = 84
Multiply by -2 -24s - 6l = -192
-18s = - 108
s = $6 = cost of small box
12(6) + 3l = 96
72 + 3l = 96
3l = 24
l = $8 = cost of large box
A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%
Answers
Answer:
i would guess
Step-by-step explanation:
will mark brainlist + 30 points .. please help asap!!
This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]
Answers
Answer:
is 20 is your answer I believe
Answer:
p=2/20
p=1/10
the probability that a teenager has exactly 2 pairs of shoes is 1/10
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Numerical Answers Expected!
Answer for Blank 1:
Answers
Answer:
567 miles
Step-by-step explanation:
we break down how many miles he went in 1 hour
315/5
he went 63 miles in 1 hour
times this by 9 is 567 miles in 9 hours
Answer:
567 milesStep-by-step:we break down how many miles he went in 1 hour 315/5 he went 63 miles in 1 hour times this by 9 is 567 miles in 9 hours
Step-by-step explanation:
Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?
Answers
Step-by-step explanation:
100-15=85%
85% × 29.99
=$25.49
A party hat has a diameter of 18 centimeter and height of 25 centimeter find the volume of the air it can occupy
Answers
Hahsbdbakan aaioabsbsyaq
A fish tank holds 25 gallons of water. How many quarts of water does the fish tank hold?
Answers
Answer:
100 gallons
Step-by-step explanation:
so 1 gallon equals 4quarts multiply that by 25 you get 100 so there you go
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answers
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Given m and n are parallel lines, t is a transversal
crossing both m and n, and m48 = 100 degrees,
what is the measure of 3?
Answers
Answer:
they would measure 74 meters
I need help with this problem please!!!
Answers
Answer:
the answer is 1188
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?
Answers
Answer:
0.93
Step-by-step explanation:
this is the correct answer you want please follow me and make me brainlist
The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes? PLEASE ANSWER WILL GIVE BRAINLEST. please..
Answers
Answer:
1,296 FT2
Step-by-step explanation:
Answer:
i tried every way possible and none of the have the same answer as the solutions i made BUT, all of my answer were the closest to 216 so i would guess that one
Step-by-step explanation:
Sorry if i was wrong, i tried my best but i didnt get any of those answers
solve for n: 3 x n = 2 x 9
Answers
Answer:
n = 6
Step-by-step explanation:
3 x n = 2 x 9
2 x 9 = 18
3 x n = 18
divide by 3 on both sides:
n = 6
hope this helped :)
