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
pls help i really need help, i would appreciate it. will mark brainliest.
#1. a bag contains red marbles and white marbles in a ratio of 3 to 5. if one marble is drawn, what is the probability that the marble is not red?
#2. the sides of a triangle are 7in., 24in., and 25in. Is the triangle a right triangle? Justify your answer.
#3. The carpet cost $18 per square yard. Use two unit multipliers to find the cost per square foot.
#4. if the dimensions of a rectangle are increased by 100%, then the area of the rectangle is increased by what percent?
#5. The vertices of a trapezoid are at (-3,-2), (5,-2), )2,3), and (-2,3). What is the area of the trapezoide?
#6. √6 · √12
Answers
Answer:
#1: 5/8, #2: It is a right triangle, #3 $2: per square foot, #4: 300%
Step-by-step explanation:
#1: If you want the probability of drawing a non-red marble, you need to have the number of non-red marbles divided by the total number of marbles. Since it's a 3 to 5 ratio, and the 5 represents marbles that are white, not red, you can put 5/(5+3), or 5/8 as your answer.
#2: For this one, you need to use the pythagorean theorem, a rule that will be true if it's a right triangle, and false if it's not. It's A² + B² = C², where C is bigger than A and B. To apply this, you can plug 7² + 24² into a calculator, and see whether or not the answer is equal to 25² (which, in this case, it is, meaning that it is a right triangle.)
#3: The idea with this is cancelling out the units until you end up with the units you want. You know how 7897/7897 would still be equal to one, as anything divided by itself is still one? We can use that concept, because multiplying our original value by 1 won't change the value, just the units. Since 1 yard = 3 feet, we can do this: ($18)/(yard²) × (1 yard)/(3 feet) × (1 yard)/(3 feet) = $2/feet²
#4 This one I will use sample values for: let's say our rectangle has a length of 10 inches and a width of 20 inches. That means it's area will be L × W, that is, 10 × 20 = 200 inches². Now lets increase the dimensions by 100%. Our length would become 20 inches, and our width would become 40 inches. That makes L × W = 20 × 40 = 800 inches². Now, to see what percent increase that is from the original, we have to do (800 - 200)/200, that is, 3, or 300%.
Sorry I don't have time to do the last one, but might I suggest that you post the questions individually next time? I just think it might make people less scared to jump into solving one problem than five, so you might get answers sooner =)
A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created from the previous year. Which of the following lengths of time worked will not be long enough for the teacher to have created 27 worksheets. * Check All That Are True*
6 hours, 10 hours, 8 hours, 2 hours, 4 hours
Answers
Answer:
2 hours, 4 hours
Step-by-step explanation:
So lets go over what we know.
There are already 10 worksheets created.
Every 1 hour 3 more are made.
27 worksheets need to be made.
Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:
27-10
=
17
Now, lets divide the amount of worksheets we still need, by how many we make each hour:
17/3
=
Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.
Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.
Hope this helps! ;)
what does tan -1 (0.88) equal
Answers
Answer:
-1.3705187977
PLEASE HELP ME WITH THIS ITS DUE IN 15 MINS!! WILL GIVE BRAINLIST!! HELP!
Answers
Answer:b
Step-by-step explanation:
,,,,,,,,,,,,,,,,,,,,,,,
Answers
Answer:
I think the answer is D, 15 Square Inches
50 points and brainliest
Answers
Answer:
I can't see clearly pls clear it out
Answer:
tha loojs hard
Step-by-step explanation:
A rectangular piece of paper with length 35 cm and a width 18 cm has two semicircles cut out of it as shown below
Answers
Answer:
375.66 cm²
Step-by-step explanation:
The two semicircles add to a full circle.
For the circle, d = 18 cm.
r = d/2 = 9 cm.
A = LW - πr²
A = (35 cm)(18 cm) - 3.14(9 cm)²
A = 375.66 cm²
answer question for 10 points and brainilest
Answers
Answer:
343
Step-by-step explanation:
[tex]\frac{(7^4)^2}{7^5}[/tex]
[tex]=\frac{7^4^*^2}{7^5}[/tex]
[tex]=\frac{7^8}{7^5}[/tex]
[tex]=7^8^-^5[/tex]
[tex]=7^3[/tex]
[tex]=7*7*7[/tex]
[tex]=343[/tex]
Simplify: √54 + √486 + √24
Answers
Answer:
14√6.
Step-by-step explanation:
√54 = √9√6 = 3√6
√486 = √81 √6 = 9√6.
√24 = √4√6 = 2√6.
So √54 + √486 + √24
= 3√6 + 9√6 + 2√6
= 14√6.
What is the solution to 85<-5x+5?
A. x < 16
B. x > 16
C. x < -16
D. x > -16
Answers
Answer:C. x < -16
Step-by-step explanation:
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a
and 5b are like terms, so they can be combined. Who is correct?
Answers
Answer:
Rosa. 5a and 5b are not like terms. The letters have to be the same
Write the following percentages as a fraction in simplest form
Answers
hope this helped
Find the length of each arc. Round your answer to the nearest tenth.
Answers
Answer:
give the full questions please
Is it worth it to buy primogems?
I really want Zhongli but I'd need to pay $43 ($143 if I loose the 50/50)
Answers
Answer:
It depends on how much you enjoy the game
Step-by-step explanation:
Honestly I spent $50 in the game and I really didn't get anything good. The game is a gamble. If you enjoy and want Zhongli so much you are willing to pay than go for it :)
Answer:
you should
Step-by-step explanation:
bc its genshin impact
Find the lump sum that must be deposited today to have a future value of $65,000
in 10 years if funds earn 8% compounded semiannually.
Answers
Answer: 812.5
Step-by-step explanation: what i did first was divide 65000 by 10 which gave 6500 and then i divided it by 8 which gave 812.5, but i could be possibly wrong
13 and 14
Please help ASAP
Extra 100 points
Answers
Answer:
(3)
(4)
Step-by-step explanation:
but I could be wrong
Your classmate says that the solutions to the given inequality are x > -2. Look carefully at the work. Should your friend have reversed the inequality symbol? Explain. Then solve the inequality correctly.
Please don't send those annoying files, I'm not trying to get a virus on my laptop. Please, if you can, just write out the steps/answer(s).
Answers
Answer:
x < -2 (No, he shouldn't have reversed the inequality symbol).
Step-by-step explanation:
Given the algebraic expression;
19 - 2(1 - x) < 13
Opening up the bracket, we have;
19 + (-2*1) + (-2*-x) < 13
19 + (-2) + (2x) < 13
19 - 2 + 2x < 13
17 + 2x < 13
Rearranging the equation, we have;
2x < 13 - 17
2x < -4
Dividing both sides by 2, we have;
x < -2
Hence, your friend shouldn't have reversed the inequality symbol (sign).
Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.
For example, if we had re-arranged the equation as;
17 - 13 < -2x
4 < -2x
Dividing both sides by -2, we have;
4 > x
Abel is 12 years old and Gino is 8. They share 15 apples in the ratio of their ages. How many does each get?
Answers
Answer:
Abel gets 9 apples while Gino gets 6 apples.
Step-by-step explanation:
Total age = 20 (Abel's age =12 + Gino's age =8)
Abel's share =
[tex] \frac{12}{20} \times \frac{15}{1 } = 9[/tex]
Gino's share =
[tex] \frac{8}{20} \times \frac{15}{1} = 6[/tex]
divide 2x⁴-3x³+2x²-4x+5 by x-2
Answers
Answer: 2
4
−
3
3
+
7
2
−
4
Step-by-step explanation:
Answer: -17
Step-by-step explanation:
2*-2^4-3*-2^3+2*-2^2-4-2+5= ?
2*-16-3*-8+2*-4-4-2+5 = ?
-32+24-8-4-2+5
-8-12+3
-20+3
-17
:>
Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada de Q.
Answers
Answer:
La ordenada de Q es 7.
Step-by-step explanation:
La ecuación de una recta es:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Para este problema, sabemos que la pendiente es -2
Entonces:
a = -2
y = -2*x + b
También sabemos que esta recta pasa por el punto (5, -1)
Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1
Si reemplazamos esos valores en la ecuación, obtenemos:
-1 = -2*5 + b
-1 = -10 + b
-1 + 10 = b
9 = b
Entonces la ecuación de la recta es:
y = -2*x + 9
Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.
Entonces este punto es Q (1, k)
donde k es la ordenada de este punto.
Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k
Reemplazando eso en la ecuación tenemos:
k = -2*1 + 9 = -2 + 9 = 7
k = 7
La ordenada de Q es 7.
The table shows the prices of some breakfast items at a restaurant. Sara ordered 2 eggs, a slice of bacon, and a glass of juice for breakfast. The sales tax for the order was $0.48. She paid for her breakfast with a $10 bill.
How much change should sara receive from the $10 bill?
Answers
Answer:
$3.56
Step-by-step explanation:
mark me brainlest please
Answer:
3.56
Step-by-step explanation:
First you wanna add the prices of all the food so its
Two Eggs= 3.38
Slice of Bacon= 1.49
Orange Juice= 1.09
Add All then you get 5.96 and add sales tax so you get 6.44
The Subtract 10.00 - 6.44 = A/3.56
Find the area of the rectangle.
2X+3
X+1
Answers
Answer:
Doesn't seem like a rectangle but when you combine like terms you get 5x+1
sorry if it didn't help.
Step-by-step explanation:
Explanation: 2x+3(x+1)
2x(x+1) +3 (x+1)
2x (squared) + 2x + 3x + 3
hope that helps if u have any questions let me know also are u sure that this is the full question because it doesn't really make sense like it doesn't give any measurements at all so you can't really find the area you can only simplify the equation??
if there is any more information about this question comment under this and i will solve it fully!!
Which option best shows X < -18
Answers
Answer:
A is the best shows your answer
Answer:
B
Step-by-step explanation:
C and D are > and ≥ -18
A shows x < -18, which isn't what the question asks for
How do u write any number to the zeroth power
Answers
Answer:
0 as an exponent would look something like 6^0 and anything to the power of 0 is always 1
please help im gonna fail
Answers
Answer:
1.) -3.75
2.) [tex]\frac{9}{4}[/tex]
3.) [tex]\sqrt{8}[/tex]
4.) 3
Step-by-step explanation:
Negatives are always less than positive numbers
9/4 = 2.25
Square root of 8 is around 2.83
a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination
Answers
Answer:
800 full marks
Step-by-step explanation:
295 + 25 = 320 marks required to pass
320 / 0.40 = 800 full marks
Listed below are body temperatures from five different subjects measured at 8 am and again at 12 am. find the values of d overbar and s subscript
d. in general, what does mu subscript d represent
Answers
Answer:
= −0.26
= 0.4219
Step-by-step explanation:
Given:
Sample1: 98.1 98.8 97.3 97.5 97.9
Sample2: 98.7 99.4 97.7 97.1 98.0
Sample 1 Sample 2 Difference d
98.1 98.7 -0.6
98.8 99.4 -0.6
97.3 97.7 -0.4
97.5 97.1 0.4
97.9 98.0 -0.1
To find:
Find the values of and
d overbar ( ) is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5
= ∑d/n
= (−0.6 −0.6 −0.4 +0.4 −0.1) / 5
= −1.3 / 5
= −0.26
s Subscript d is the sample standard deviation of the difference which is calculated as following:
= √∑( - )²/ n-1
=
√
= √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −
(−0.26))² + (−0.1 − (−0.26))² / 5−1
=
=
=
= 0.4219
= 0.4219
Subscript d represent
μ represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.
Step-by-step explanation:
the melting point of ice + common salt =
Answers
Answer:
Step-by-step explanation:
Ice forms when the temperature of water reaches 32 degrees Fahrenheit (0 degrees Celsius). When you add salt, that temperature drops: A 10-percent salt solution freezes at 20 °F (-6 °C), and a 20-percent solution freezes at 2 °F (-16 °C). On a roadway, this means that if you sprinkle salt on the ice, you can melt it.
I write this question for no reason
Answer has to be at least 20 words long to get brainliest
Answers
Answer:
hi i need points and i dont know what to write i hope you have a great day or night :)
Step-by-step explanation:
yeoo, how are you? I hope you're doing well and having a great day g. Anyways I only need one more brainliest to pass this rank, so it would be real helpful but it's okay if not. I hope you are taking care of yourself, have a nice day/night !
someone help me please
Answers
Answer:
[tex]426.9km^{2}[/tex]
Step-by-step explanation:
Area of the shaded region→
[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]
→ [tex]540-113.04[/tex]
→[tex]426.9[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!!