What is the probability of flipping a coin 12 times and getting heads 3 times? Round your answer to the nearest tenth of a percent. O A. 5.4% O B. 12.5% O C. 12.1% O D. 19.3% SUBMIT
Answers
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Explanation:
We use the binomial probability formula here
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
In this case, there are n = 12 trials and p = 0.5 is the probability of getting heads. The value of k = 3 means we want 3 heads.
So,
P(k) = (n C k)*(p)^k*(1-p)^(n-k)
P(3) = (12 C 3)*(0.5)^3*(1-0.5)^(12-3)
P(3) = 220*(0.5)^3*(1-0.5)^(12-3)
P(3) = 0.0537109375
P(3) = 0.054
P(3) = 5.4%
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Side note: the n C k refers to the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where the exclamation marks mean factorials. You could also use Pascal's Triangle as an alternative for this portion.
Related Questions
(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?
Answers
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
I NEED HELP WITH MY HOMEWORK ASAP!!!!
I dont get it :(
Answers
Boxers in the nineteenth century used their bare fists. In modern boxing,
fighters wear padded gloves. How do gloves protect the brain of the boxer from
injury?
Answers
Answer:
boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security
this is a 30-60-90 triangle. what is the measure of X? please explain
Answers
[tex]x = 10 \sin(60) \\ x = 10 \frac{ \sqrt{3} }{2} \\ x = 5 \sqrt{3} [/tex]
In the graph above, which vertical line (v) and horizontal line (H) can be used to graph point C
Answers
Answer:
V: x= -3
H: y= -3
Step-by-step explanation:
the radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?
Answers
Answer:
Distance = 660 meters
Step-by-step explanation:
Given the following data;
Radius, r = 21 m
Number of revolutions = 5 times
To find the distance covered;
The distance covered in one revolution is given by the circumference of a circle.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Substituting into the formula, we have;
C = 2 * 22/7 * 21
C = 44 * 3
C = 132 meters
Next, we find the distance covered;
Distance = Circumference * Number of revolutions
Distance = 132 * 5
Distance = 660 meters
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with the gas in his tank?
Answers
Answer:
5/6 divided by 1/12 (the last box)
Well thats the only box with the right answer and the equation used is how you get the right answer
type the correct answer in each box. spell all the words correctly, and use numerals instead of words for numbers. if necessary, use / for the fraction bar(s)
Answers
WHAT? What does this even mean?
PLEASE HELP!!! An investment earns 3% a year compounded monthly. Find the value of an initial investment of $5,000 after 6 years.
Answers
Answer:
A = $5,984.74
A = P + I where
P (principal) = $5,000.00
I (interest) = $984.74
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.03/12)(12)(6)
A = 5,000.00(1 + 0.0025)(72)
A = $5,984.74
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.
a city council consists of 7 democrats and 7 republicans. if a committee of 4 people is selected, find the probability of selecting 2 democrats and 2 republicans
Answers
Answer:
The probability of selecting 2 Democrats and 2 Republicans is 29.36%.
Step-by-step explanation:
Given that a city council consists of 7 democrats and 7 republicans, to determine, if a committee of 4 people is selected, the probability of selecting 2 Democrats and 2 Republicans must be performed the following calculation:
7/14 x 6/13 x 7/12 x 6/11 = X
0.5 x 0.46 x 0.58 x 0.54 = X
0.0734 = X
0.0734 x 100 = 7.34 x 4 = 29.36
Therefore, the probability of selecting 2 Democrats and 2 Republicans is 29.36%.
5. A rectangular parking lot has the length (x + 7) and width of (x + 10). If the total area of the parking lot is
180 m, what are the dimensions of the parking lot?
length
width =
Answers
Answer:
length = 12
width = 15
Step-by-step explanation:
if you foil (x+7)(x+10) you get:
x²+17x-110 = 0
the factors are:
(x+22)(x-5) = 0
x = -22 and 5
we can dismiss the negative as irrelevant for a measure; therefore, x = 5
length = 5+7, or 12
width = 5+10, or 15
What is the weight of a 43.11-carat diamond in grams and ounces?
Answers
it is not 1070ml
plz helpppp
Answers
Answer:
the answer is 1.7 litres
to compare we must have all quantities in the same unit
converting 1.7 litres to milliliters1.7 × 1000 = 1700 ml
hence, 1700 ml is the largest capacity from the given options
Find the slope of the line and sketch its graph y=3
Answers
Answer:
0
Step-by-step explanation:
The slope is 0 as there is no x variable within the equation.
recall y=mx+c where m is the slope. y=3 so we are only given the y intercept.
to graph this simply draw a horizontl line that crosses (0,3).
The table shows the relationship between Megan’s earnings and the hours that she worked.
What is the missing value in the table?
Earnings ($) 19 38 57 ? 95
Hours 2 4 6 8 10
A. 65
B. 66.5
C. 76
D. 85.5
Answers
Answer:
C.76
Step-by-step explanation:
2x= 19
x= 9.5
8x =?
8(9.5)= ?
76= ?
Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to
create AA'B'C'. What are the coordinates of the vertices of AA'B'C'?
Answers
END OF THE YEAR TEST PLEASE HELP
Seung has a wooden block in the shape of a square pyramid as shown below. Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Derek has the same shaped block but with dimensions that are half of Seung’s block. How many times greater is the surface area of Seung’s block than Derek’s block?
Answers
Answer:
the answer is 4
Step-by-step explanation:
Factorise 5x + 10=
ᴘʟᴀʏɪɴɢ: Who Asked (Feat: Nobody did ) ───────────⚪────── ◄◄⠀▐▐⠀►:/:⠀───○
Answers
Answer:
5(x+2)
Step-by-step explanation:
5x + 10=
Factor out 5
5(x+2)
Answer:
[tex]5(x + 2)[/tex]
Step-by-step explanation:
Get 5 out
[tex]5x + 10 \\ 5(x + 2)[/tex]
Rosa budgets her allowance so she uses equal amounts for spending,saving, and gifts. Her weekly allowance is $6.75. How much does Rosa save each week?
Answers
Answer:
29.54
Step-by-step explanation:
29.54. is your answer to this problem
how many degrees in a triangle
Answers
Answer:
180 degrees are in a triangle.
A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below.
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Required:
At the 1% level of significance, is there evidence of an association between seed density and lawn quality?
Answers
Answer:
There is no significant evidence to support the claim that an association between seed density and lawn quality exists.
Step-by-step explanation:
Given the data :
Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50
Using technology to obtain the correlation Coefficient between seed density and lawn quality, the Coefficient, R = 0.6
H0 : ρ = 0
H1 : ρ ≠ 0
We can then calculate the test statistic :
Test statistic = r / √(1 - r²) / (n - 2)
Test statistic = 0.6 / √(1 - 0.6²) / (8 - 2)
Test statistic = 0.6 / 0.3265986
Test statistic = 1.837
Pvalue from test statistic : = 0.11583
α = 0.01
Pvalue > α ;
We fail to reject the null
Which expression will solve for the area of the shaded portion, in square inches?
Answers
Answer:
I might be wrong but It's C
108-4
Step-by-step explanation:
I wrote on a sheet of paper and checked over my response to your question.
jose 25 kg is father is 5 kg less than 3 times jose's weight what is the weight of jose father
Answers
Answer:
Jose's father weighs 70 kilograms.
Step-by-step explanation:
Given that Jose weighs 25 kg, while his father is 5 kg less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:
Jose = 25
Father = 3J - 5
3 x 25 - 5 = Father
75 - 5 = X
70 = X
Therefore, Jose's father weighs 70 kilograms.
What is the equation for a line that has an x-intercept of 2 and a y-intercept of -6?
Answers
Answer:
An x-intercept of 2 implies
(
2
,
0
)
is a point on the line
A y-intercept of 4 implies
(
0
,
4
)
is a point on a line
The slope of the line joining
(
2
,
0
)
and
(
0
,
4
)
is
#(Delta y)/(Delta x) = (4-0)/(0-2) = -2
Using the slope-intercept form of the equation
y
=
m
x
+
b
where
m
is the slope and
b
is the y-intercept
we have
y
=
−
2
x
+
4
The question is in the picture.
Answers
Answer:
I’m pretty sure it’d be 17 because 15 is the lower extreme.
Step-by-step explanation:
I just learned this. 17 would be the Q1, 20 would be Q2, and 23 would be Q3. I hope this helped you out :)
The graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints.
Use only decimal form, if necessary. Frozen Yogurt 9 COR Servings 3 2 1 Pints 3 31 5 6 18 9 The equation is y =
Answers
Answer:
Please rephrase the question.
Step-by-step explanation:
Which statement correctly compares the shapes of the distribution?
Answers
the answer to your question is c
hat is the measure of \greenD{\angle x}∠xstart color #1fab54, angle, x, end color #1fab54 ?
An angle labeled 93 degrees is composed of 2 angles joined together. The larger angle is labeled 50 degrees and the smaller angle is labeled x. Its for Khan Academy
Answers
Answer:
x = 43
Step-by-step explanation:
The two angles add to 93
x+ 50 = 93
Subtract 50 from each side
x+50-50 = 93-50
x = 43
Answer:
x = 43 °
Step-by-step explanation:
An angle lebeled 93° is composed of two angles joined together.The larger angle is lebeled 50° and smaller angle is lebeled x.sum of two angles is equal to 93°,
50 ° + x = 93 °
Subtract 50° from each side
50° - 50° + x = 93° - 50°
x = 43°
how many positive integers n satisfy the following condition: (130n)^50 > n^100 >2^200
Answers
Answer:
27
Step-by-step explanation:
The total cost c a roof technician charges to fix a sink in a house depends on the number h of hours it takes to assess the damages to the roof and repair the roof. This situation can be represented by the function rule 32h + 145. What is the total cost the roofer will charge if he works for 19.25 hours?
Answers
Answer:
I believe it is 761 is the cost the roofer will charge.
Step-by-step explanation:
First: Multiply 32 with 19.25 (standing for h), which equals to 616.
Second: Add 616 with 145, which adds up to 761.