Answer:
15 heads out of 30
Step-by-step explanation:
The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore, 230 is the total number of different sequences for 30 coin flips.
We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.
Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):
(3015)230=1551175201073741824≈0.1445≈14.45%
15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.
If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are:
[tex]E(X) = np\\[/tex]
You flip a coin 30 times then the expected value will be
The probability of getting tails is 0.5 then the expected value will be
[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]
Learn more about binomial distribution here:
https://brainly.com/question/13609688
use the product rule to simplify the expression
Answer:
-60z^23
Step-by-step explanation:
Whats the answer for number 13? Thank you!
Answer:
B) 16
Step-by-step explanation:
If you look at the graph and go to 4 hours, you can see a dot at 14. So, in this case the nearest answer choice to 14 is 16, as it would be your best estimate if you follow the imaginary line you can draw in the middle of all that points.
Helpppp pleaseeee ill give brainliest answer if u knowww helppp
Answer:
There is a 20% chance you draw an orange candy.
Step-by-step explanation:
4+1+2+3=10
pink=4/10
blue=1/10
orange=2/10
white=3/10
There is a 20% chance you draw an orange candy.
Answer:
Step-by-step explanation:
P(O)=2/(4+1+2+3)
P(O)=2/10
P(O)=1/5
P(O)=0.2 (as a decimal)
Plz hurryThe center of circle Q has coordinates Q(6,-4) . If circle Q passes through R(14,2) , what is the length of its diameter?
Answer:
the diameter is twice the circle radius, or 20
Step-by-step explanation:
Recall that the radius is half the diameter <=> the diameter is twice the radius. In this problem we need to find the radius first, then multiply it by 2 to obtain the diameter.
We need to determine the distance between the center of the circle Q(6, -4) and the point R(14, 2) on the circle.
The Pythagorean Theorem applies here. Going from Q to R, x changes from 6 to 14, or 8 units, which is the horizontal leg of a right triangle, and y changes from -4 to 2, or 6 units. Thus, according to the Pythagorean Theorem, the length of the hypotenuse of this triangle is
r = √(6² + 8²) = √100 = 10
and so the diameter is twice that, or 20.
Convert 104ten to a binary numeral
A. 1101000 B. 1010100
C. 1101100 D. 1011010
Answer:
The answer is A. 1101000
Step-by-step explanation:
Step 1) Divide 104 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.
Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.
Step 3) Repeat Step 2 above until the Whole part is 0.
Step 4) Write down the Remainders in reverse order to get the answer to 104 as a binary.
Here we will show our work so you can follow along:
104 / 2 = 52 with 0 remainder
52 / 2 = 26 with 0 remainder
26 / 2 = 13 with 0 remainder
13 / 2 = 6 with 1 remainder
6 / 2 = 3 with 0 remainder
3 / 2 = 1 with 1 remainder
1 / 2 = 0 with 1 remainder
Then, when we put the remainders together in reverse order, we get the answer. The decimal number 104 converted to binary is therefore:
A. 1101000
I copied and pasted the explanation part because the way I solve it is a bit confusing to some people so, I hope this information helps.
Please choose the correct answers !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
its B E F
Step-by-step explanation:
hope this helps
i need help ASAP please
Answer:
umm so i belive you will mulltiply all of thoes together
Step-by-step explanation:
chicken nuggies are good :0
Answer:
number 3
Step-by-step explanation:
p represents amount of tickets sold at the pre-sale and d represents the amount of tickets sold at the door. If you add p + d, that equals the total amount of tickets sold which is 345 tickets.
So:
p + d = 345
Pre-sale tickets (p) cost $7 while tickets at the door (d) cost $10, and the total amount of money mad is $2550.
So:
7p + 10d = 2550
Answer should be the equations in number 3.
-2x+6=-6 what is the answer to this promblem
Answer:
Step-by-step explanation:
-2x + 6 = -6
-2x = -12
x = 6
Answer:
x = 6
Step-by-step explanation:
⚡Hi⚡
-2x + 6 = -6
2x = 12
x = 6
Delete my account please.
In a school with 300 students, a random sample of 40 students who were asked to pick a favorite sport showed that 24 students like to play basketball the most. What number of students in the whole school can be predicted to prefer basketball? PLSSSS I NEED ANSWER RIGHT NOW!
Answer:
180
Step-by-step explanation:
24/60=180/300
So, about 180 students prefer basketball out of the whole school.
hi please help i’ll give brainliest
Find the quotient.
4.58 ÷ 0.5
Answer:
9.16
Step-by-step explanation:
4.58/.5
Answer:
9.16
Step-by-step explanation:
4.58
--------
0.5
45.8
--------
5
5 into 45 is 9
9 x 5 = 45
45-45= 0
5 into 8 is 1
1 x 5 = 8
8 - 5 = 3
Bring down the zero: 30
5 into 30 is 6
5 x 6 = 30
30 - 30 = 0
the solution for long division of 4.58
-------- = 9.16
5
Hope this helps
Perry traveled at an average speed of 55 miles per hour for 5.5 hours and then traveled at an average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that Perry traveled during this time?
Answer:
465 miles
Step-by-step explanation:
From the question,
S₁ = d₁/t₁............................... Equation 1
Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.
make d₁ the subject of the equation
d₁ = S₁t₁................... Equation 2
Given; S₁ = 55 miles per hour, t₁ = 5.5 hour
Substitute these values into equation 2
d₁ = 55×5.5
d₁ = 302.5 miles.
Also,
d₂ = s₂t₂.......................... Equation 2
Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.
d₂ = 65×2.5
d₂ = 162.5 miles
Hence,
Total distance = d₁+d₂
Total distance = 302.5+162.5
Total disstance = 465 miles
Leah is thinking of a number. Twenty less than one third of
the number is 72. What is Leah's number?
Answer:
Step-by-step explanation:
⅓x - 20 = 72
⅓x = 92
x = 276
HELP ME PLEASE!!!!
ΔAXY ~ ΔABC. What is the value of BC
Answer:
BC = 28 [tex]\frac{1}{3}[/tex] ft
Step-by-step explanation:
Given that the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AX}{AB}[/tex] = [tex]\frac{XY}{BC}[/tex] , substitute values
[tex]\frac{12}{20}[/tex] = [tex]\frac{17}{BC}[/tex] ( cross- multiply )
12BC = 340 ( divide both sides by 12 )
BC = [tex]\frac{340}{12}[/tex] = [tex]\frac{85}{3}[/tex] = 28 [tex]\frac{1}{3}[/tex]
Rob can mop a warehouse in 10 hours. Maria can mop the same warehouse in 11 hours. Find how long it would take them if they worked together.
Answer:
It would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Step-by-step explanation:
Use the algebra work formula, [tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex], where tb is the time together, t1 is the time of one person individually, and t2 is the time of the other person.
Plug in 10 and 11:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{t1}[/tex] + [tex]\frac{1}{t2}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{1}{10}[/tex] + [tex]\frac{1}{11}[/tex]
Find the common denominator, then add the fractions together:
[tex]\frac{1}{tb}[/tex] = [tex]\frac{11}{110}[/tex] + [tex]\frac{10}{110}[/tex]
[tex]\frac{1}{tb}[/tex] = [tex]\frac{21}{110}[/tex]
Cross multiply and solve for tb:
110 = 21tb
5.24 = tb
So, it would take them [tex]\frac{110}{21}[/tex] or approximately 5.24 hours together
Will mark brainliest and give 18 points
Answer:
A is the answer.
Step-by-step explanation:
4 ÷ 1/2 = 8.
PLEASE HELP QUICK I HAVE 10 MINUTES
Answer:
56.58j = c
Step-by-step explanation:
c = cost
The number of students who picked each subject is shown.
What percent of students did not pick History?
Answer: 90% of students did NOT choose history.
Step-by-step explanation:
Art - 32.5%
Spanish - 7.5%
ELA - 10%
Math - 15%
Science - 25%
When added altogether each subject equals 90%, leaving the other 10 percent history. 90% is our answer since that is the number of people that voted for subjects other than history.
Hope This Helped, Have A Great Day!
Which expression is equivalent to √148
A. 12
B. 12√4
C. 14
D, 2√37
Answer:
D
Step-by-step explanation:
You put square roots of 148 in the calculator than it will give you the answer
Answer:
D) 2√37
Step-by-step explanation:
√148 = √4x37 = 2√37
Find the product
0.75 x 2.1 =
Answer:
the anwser is 0.1575
Step-by-step explanation:
+_(!_+_7$!$!_+_+$($!_;"+_+_!
1. Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
O y = 3x + 1
O y = 3x - 4
O y = -1/3x - 4
O y = -1/3x + 1
Answer:
y = 3x + 1
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is Y = 3X - 5. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (0, 1). Plug in the x and y values into the x and y of the standard equation.
1 = 3(0) + b
To find b, multiply the slope and the input of x (0)
1 = 0 + b
Now, add 0 to both sides to isolate b.
1 = b
Plug this into your standard equation.
y = 3x + 1
This equation is parallel to your given equation (y = 3x - 5) and contains point (0, 1)
Hope this helps!
HELPPPP ASAP PLSSSSS!!!!!!
Answer:
5.25 + 5.25 = 10.5
8.5 - 3.25 = 5.25
so
5.25 & 8.5 are the answers consequently
This statement shows the ______ property.
Answer:
besti you didnt put the statement
can someone help me with these 2 questions. angle sum theorem
Answer: D. 8
Step-by-step explanation:
Total sum of angles in a triangle is 180
I'll do the first one, you can try the second
9x + 5 + 78 + 25 = 180
9x + 108 = 180
9x = 72
x = 8
which container holds more detergent? Justify your answer.
Answer:
soapy suds
Step-by-step explanation:
the surface area of a cube is 600 cm. what is its volume? 200 1000 600 800
Answer:
1000 cm^3
Step-by-step explanation:
First, Find the side length of the cube. The surface area is all the area on the surface of a 3-dimensional object. Since a square has 6 congruent faces the formula for surface area is 6s^2 where s is the side length. Since we know the surface area we can solve for the side length.
600=6s^2- DIvide by 6
100=s^2- Take the square root of both sides.
10=s
The volume of a cube is s^3.
10^3=V
1000=V
what is ratio 7:4 into 350
Answer:
200
Step-by-step explanation:
To find the answer, first we can divide 350 by 7 to get 50, and then multiply that by 4 to get 200. Hope this helps.
What's the answer???
Answer:
2nd option
Step-by-step explanation:
hey!!! please answer this asap it is an emergency!!!
whoever answers first and gets it right will be marked brainliest!!!
Answer:
my bad yall, I seen the comments!! it's 12
Step-by-step explanation:
I'm so sorry!!
Answer:
Okay, i'm not being jugy but it it is super easy... it is 12 only because 1x12=12, 2x12=24, 3x12=36, and 4x12=48!!
it is most definately 12 DON'T WORRY
PLEASE HELP ME WITH MATH (also please tell me how you got the answer so I understand)
Answer:
1st=3x+9, 2nd=8x, 3rd=4x+3y, 4th=neither, 5th=neither, 6th=4x+3y, 7th=3x+9, 8th=8x.
Step-by-step explanation:
for the 1st one cancel out the y's, 3x+9. for the 2nd one: 2x-1x+7x, (2-1+7)x, 8x. for the 3rd one: 2x+2y+2x+y, 4x+2y+y, 4x+3y. for the 4th one: 7x+x+0-y, 8x-y. for the 5th one: 2x+2y+2x, 4x+2y. for the 6th one: 4x+4y-y, 4x+3y. for the 7th one: 2x+6+x+3, 3x+6+3, 3x+9. for the 8th one: 5(2x)-2x, 5 * 2x-2x, 10x-2x, 8x.
Answer:
The answers would be :
first table (equivalent to 8x ) = 2x-x+7x , 7x+x+0×y , 5(2x)-2x
second one (equivalent to 4x+3y) = 2x+2y+2x+y , 4x+4y-y
third one = every expression left but 2x+2y+2x .
you have to calculate them ! for example look at the first one ----> y+3x-y+9 is equivalent to 3x+9 'cause y-y = 0 ,so 3x +9 will be the left expression and you can't calculate it because the both left items in expression are not from the same type , one of them has a x but the other one doesn't have .
or for example the second one is 2x-x+7x and you know that -x can be written as -1x ,so it becomes like 2x+-1x+7x = 8x .
in the above example we could calculate numbers 'cause all of them have the same variable .
hope it was kinda helpful , sorry for bad english :D
ask me if you have further questions .