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
Filipe is buying materials for making his new comic books. He purchases a notebook for $7
and when he rings up it shows he also owes $0.42 in tax. If he buys markers the next day for
$6 and pays the same tax rate, how much will he pay in tax?
Answer:$0.36
Step-by-step explanation:
0.42 devided by 7= 0.06
0.06 times 6= 0.36
Answer:
He would pay $0.36 the next day if he buys markers and pays the same tax rate as day 1.
Step-by-step explanation:
The solution is in the image and the answer is 1a and 1b the question 2 answer isn't relevant to you.
• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000
Complete question :
a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?
Answer:
$40000
Step-by-step explanation:
Offer :
For every $120 spent ; $3 is donated
In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;
$120 = $3
$x = $1000
Cross multiply
$(120 * 1000) = $3 * x
$120000 = $3x
x = 120000 / 3
x = 40,000
Hence, in other to raise $1000 ; $40000 would have to be spent by customers.
can someone help me with geometry
whats the question then?
I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?
Answer:
$11,000
Step-by-step explanation:
1st year the account earned 20% from $25,000 = $5,000 | total = $30,000
2nd year the account earned 20% from $30,000 = $6,000
by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000
Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.
4 - 2 = 2
If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.
4/6 - 2/6 = 0.33333333333
So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000
That's all I could come up with. Don't judge me
Simplify (8.3) 2.10.(6-1)
Answer:
[tex]8 .3 \times 2.10.5[/tex]
Step-by-step explanation:
Simplify 6 - 1 to 5.
[tex]8.3 \times 2.10 .5[/tex]
Therefor, the answer is 8.3 × 2.10.5
3(4x+6)=-4
What property did you use to solve this problem?
Answer:
The distributive property
Step-by-step explanation:
You have to distribute the 3 to the parenthesis so it is the distributibe property.
10000000000-188888 10 points
Answer:
I think the calculation answer will be 9,999,811,112
I'm a quadrilateral with only 1 pair of parallel sides. Which shape am I?
answer:
haha my teacher saw my screen ( since im in-school ) and he said that you were a trapezoid
i would have answered this question in more detail but i didnt know how to, hope this help tho! :)
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:A-false B-false C-true D-true E-false
Step-by-step explanation:
if im wrong pls tell me :)
what is the slope?
please hurry!
y=-x - 3
Answer:
Step-by-step explanation:
slope =
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 3 = (x - 2) is in this form
with slope m =
Answer:
-x is the slope
Step-by-step explanation:
Drag each tile to the correct box
Place the circles in order from the circle with the SMALLEST area to the circle with the LARGEST area.
Answer:
Smallest to largest:
The circle with a diameter of 19
The circle with a circumference of 87.92
The circle with the area of 1,040.09
The circle with the radius of 27
Step-by-step explanation:
-The formula for the area is pi x r^2
-The diameter is double the radius, meaning divide it by 2 to get the radius.
-The formula for a circumference is 2 x pi x r meaning, do the reverse to get the radius. (87.92 divided by pi and then by 2 gives you the radius.)
-pi is equal to 3.14
Of this helps, give me brainliest!
Answer:
I hope this helps
Step-by-step explanation:
(x^7 + 3x^6 - x^2 + 4) + (3x^7 - x^4 + 3x^2 - 9) add
Answer:
4x^7 + 3x^6 - x^4 + 2x^2 - 5
Find the value of y.
Question 18 options:
A)
9.850
B)
18.610
C)
65.825
D)
124.365
Answer:
[tex]\Huge\boxed{B.18.610}[/tex]
Step-by-step explanation:
Hello There!
We can find y by using trigonometric ratios
sine, cosine and tangent
[tex]tan= \frac{opposite}{adjacent}[/tex]
the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35
so...
[tex]tan28=\frac{y}{35}[/tex]
now we solve for y using basic algebra
we want to isolate the variable (y) using inverse operations
to get rid of the 35 we multiply each side by 35
[tex]\frac{y}{35} =y\\tan28*35=35tan28[/tex]
now we let the calculator do the rest of the work
[tex]35tan(28)=18.60983011[/tex]
*round to the nearest thousandth*
we're left with
y = 18.610
hence your answer is B
WILL MARK!!
Select the correct answer.
Which function does this graph represent?
Answer:
I believe the answer is C
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
Its c have a nice day! <3
Step-by-step explanation:
5. Given that Triangle EDF is congruent to Triangle QPR, what is the angle measurement
of Angle F? Fill in the blank with just the number.
Answer: the answer is 30 I took the test
Step-by-step explanation:
4 1/2 years Is ___ months
Answer:
53.9999 months!
Step-by-step explanation:
:D
What is the solution to the equation?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]
Take cube,
[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]
x + 4 = - (2x + 8)
x +4 = 2x *(-1) + 8 *(-1)
x+ 4 = -2x - 8
x +2x+4 = - 8
3x + 4 = - 8
3x = - 8 -4
3x = -12
x = -12/3
x = -4
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answer:
Sum of exterior angles of a polygon is 360°#8
2x + 2(64°) + 36° + 48° = 360°2x + 212° = 360°2x = 360° - 212°2x = 148°x = 74°#9
x + 73° + 109° + 90° = 360°x + 272° = 360°x = 360° - 272°x = 88°$120 for mowing 4 lawns =$_ per lawn
2/5p-3.11=1.13
what is p
2p-4+16=5p-9
-3p-4+16=-9
-3p-4=16+-9
And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.
Did this help?Use prime factorization to reduce the fraction 36/180
Answer:
Step-by-step explanation:
36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3
180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5
[tex]\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} = \frac{1}{5}[/tex]
Factors that are common will be cancelled
19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2
Answer:
4
Step-by-step explanation:
First, solve for x:
4 + 2(3x - 4) = 8
4 + 6x - 8 = 8
6x = 12
x = 2
Now, plug x into 4x - 4:
4(2) - 4 => 8 - 4 = 4
Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)
Answer:
=14m^2p^2+7m^2p+7mp^2+7mpx
Given the vertex form of a parabola
What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]
Answer:
12×5+45-36=60+9=69 is your answer
Answer:
12×5=60+45=105-36=69
Giving brainliest and max rating.
Answer:
5+-2
Step-by-step explanation:
it
Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter
Answer:
You know that the Pythagorean Theorem is:
a²+b²=c²
,
Where:
a
is the length of one of the legs,
b
is the length of the other leg, and
c
is the length of the hypotenuse.
You know the lengths of the two legs are
7 and 11
, so we'll say that
a is 7 , and b is 11
Knowing that, we can plug those into our equation and simplify like so:
7²+11²=c²
49+121=c²
170=c²
√170=c
c=13.0384
Answer:
√72Step-by-step explanation:
Use Pythagorean:
h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 in1/3 of 18 helpp please
Answer:
6
Step-by-step explanation:
the answer to 1/3 of 18 is 6.