Answer:
A)
1) 0.03072 = 3.072% probability you get the third head on the 5th toss.
2) The expected number of heads you will get when you toss the coin six times is 1.2.
B)
1) 0.2304 = 23.04% probability that you will get 2 heads and 3 tails.
2) The expected number of heads you will get when you toss the coin six times is 3.6.
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it is tails, or it is heads. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is E(X) = np.
Item A:
1) you get the third head on the 5th toss?
1/5 probability of heads, so [tex]p = \frac{1}{5} = 0.2[/tex]
This is two heads on 4 tosses(P(X = 2) when n = 4) and then head on the 5th toss, with 0.2 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536[/tex]
0.1536*0.2 = 0.03072
0.03072 = 3.072% probability you get the third head on the 5th toss.
2) that you get the expected number of heads you will get when you toss the coin six times?
Six tosses means that [tex]n = 6[/tex]. So
[tex]E(X) = np = 6*0.2 = 1.2[/tex]
The expected number of heads you will get when you toss the coin six times is 1.2.
Question B:
3/5 probability of heads, which means that [tex]p = \frac{3}{5} = 0.6[/tex]
1) If you toss the coin 5 times, what is the probability that you will get 2heads and 3 tails?
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304[/tex]
0.2304 = 23.04% probability that you will get 2 heads and 3 tails.
2) What is the expected number of heads you will get when you toss the coin six times?
Six times means that [tex]n = 6[/tex]. So
[tex]E(X) = np = 6(0.6) = 3.6[/tex]
The expected number of heads you will get when you toss the coin six times is 3.6.
A primary reason that large businesses such as Mercedes Benz, purchase the naming rights to a new sport/event facility (Mercedes-Benz Stadium) is because it provides exclusivity and has potential to maximize exposure of their brand* True False
HELP ME AND GIVE ME THE ANSWER I DONT NEED U TO EXPLAIN ANYTHING JUST HURRY UP
Answer:
x = 9.1
Step-by-step explanation:
What is 34×67 what is it
Answer:
2278
Step-by-step explanation:
What is the average rate of change from x =π/2 to x = 2π
Answer:
average is equal to sum of x1 and x2
x1=||/2 and x2=2||
so,
average=||/2 + 2|| the whole thing divide by2
||= 22/7
then,
22/7÷2=22/14
2×22/7=44/7
(22/7+44/7)/2
66/7÷2
66/14=33/7
therefore average is 33/7
Find the length of the rectangle.
The perimeter of the rectangle is thirty-four inches. The width of the rectangle is seven inches. The length of the rectangle is L.
A. 10 in.
B. 20 in.
C. 70 in.
D. 27 in.
Answer:
C
Step-by-step explanation:
The answer is C just cuz
PLEASE HELP MEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
100,000
Step-by-step explanation:
100,000 x 2 is 200,000
if anyone can answer this question please do, i put a picture down below
Answer:
0.125
Step-by-step explanation:
There are 8 possible given outcomes
1 of these is ABA
p = 1/8 = 0.125
A spinner is equally divided into three equal sectors and marked 2, 3, and 5. Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and draws a card randomly.
a) Use a possibility diagram to find the probability that Mike gets a zero when he subtracts the number on the spinner from the number on the card.
b)
Use a possibility diagram to find the probability that the product of the two resulting numbers is odd.
c)
What is the probability that the product of the two resulting numbers is at least 12
Answer:
2/15 ; 6/15 ; 1/5
Step-by-step explanation:
Number on spinner = (2, 3, 5)
Number on card = (1, 1, 2, 3, 4)
____ 2 ___ 3 ____ 5
1__1, 2 __ 1, 3 ___1, 5
1__1, 2 __ 1, 3 ___1, 5
2_ 2,2___2,3 ___2,5
3_ 3,2 __ 3,3 ___3,5
4_ 4,2 __ 4,3 ___4,5
1.)
To get a difference of 0:
{(2,2) ; (3,3)} = 2
Total possible outcomes = sample space = 15
P(difference of 0) = 2 / 15
2.)
Product of 2 resulting numbers is odd:
{(1,3) ; (1,5) ; (1,3) ; (1,5) ; (3,3) ; (3,5)} = 6
Total possible outcomes = 15
P(product is odd) = 6 /15
3.)
Product is atleast 12 :
{(3,5) ; (4,3) ; (4,5)} = 3
Total possible outcomes = 15
P(product is atleast 12) = 3/15 = 1/5
A point is chosen at random in the circle.
What percent of the time will the point be in
the square?
Round to the nearest tenth of a percent.
1 in.
[ ? ]%
Enter
Answer:
78.5%
Step-by-step explanation:
the percent of time the point will land in the square can be determined by dividing the area of the square by the area of the circle
A(circle) = 3.14(1)²
A(circle) = 3.14
A(square) = side squared
if radius of square is 1 inch then each side is 2 inches
A(square) = 2²
A(square) = 4 inches
3.14/4 = 78.5%
How much of a circle does a 100-degree angle turn through? The answers for the question are 1, 100/180, 50/360, and 100/360. Which one is right?
Answer:
D
Step-by-step explanation:
The answer is D because a circle has at least a 360 degree and a 180 is a half circle.
In the figure below, points A, B, and C are ______ points because they lie on the same line.
Answer:
A, B, C are Collinear points
Step-by-step explanation:
An experimenter conducted a study of the relation of size in a particular species of bird to behavioral displays of dominance. The results for the first four birds observed were as follows:
Bird Size: 14 18 14 10
Bird Behavior: 74 82 74 70
Required:
a. Change the variable names to Bird Size and Bird Behavior
b. Make a scatter plot.
c. Compute the correlation
Answer:
Scatterplot is attached below
Correlation Coefficient = 0.0973
Step-by-step explanation:
Bird Size: 14 18 14 10
Bird Behavior: 74 82 74 70
The Correlation Coefficient, R = 0.973 ; which gives a very strong positive correlation between variable, x bird size and y, Bird Behavior.
plz i need help asappppppppp
i think the answer is -5???
Answer:
-10
Step-by-step explanation:
PLEASE HELP ASAP IM GIVING BRAINLIST TO THE BEST ANSWER!
Which of the following equations describes the line shown below? Check all
that apply.
(-2,4)
(-4-8).
A. Y- 8 = 6(x-4)
B. y+ 4 = 6(x-2)
C. y - 4 = 2(x + 2)
D. Y+ 4 = 2(x-2)
E. y. 4 = 6(x + 2)
F. y+ 8 = 6(x+4)
Answer:
E. y - 4 = 6(x+2) is the answer
slope:
m = -8-4/-4+2 = 6
Formula:
y - ys1 = m(x - xs1)
hope this helps!
Step-by-step explanation:
I need the answer fast pls
Answer:
it's the middle one
Step-by-step explanation:
I passed middle school.
Find tano, where is the angle shown.
Give an exact value, not a decimal approximation.
17
ө
8
Answer:
Step-by-step explanation:
cos θ=8/17
sec θ=17/8
sec² θ-tan²θ=1
tan θ=√(sec²θ-1)=√((17/8)²-1)=√((289-64)/64)=√(225/64)=15/8
Some1 hurry need help
Answer:
Y=x/3 is the answer
Step-by-step explanation:
Hope this helps!!
HELP DUE TUESDAY (last day of school)
please solve for x and y in the diagrams below:
x = 10°
y = 112°
Step-by-step explanation:
From the definition of supplementary angles,
68° + y = 180° ---> y = 180° - 68° = 112°
From the definition of vertical angles,
(4x - 2) + 30 = 68
4x - 2 = 68 - 30 = 38
4x = 40
x = 10
Answer:
y+68=180(being straight angle)
y=180-68
y=112
4x-2=30
4x=28
x=7
A used bookstore is having a sale. All paperback books
are $0.75 and all hardcover books are $3. Ginny has $10.
She wants to buy one hardcover book and as many
paperback books as she can. Which inequality represents
this situation, where p represents the number of paperback
books Ginny can buy?
Answer:
Ha ha ha ha ha
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So tell me what you want, what you really, really want
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So tell me what you want, what you really, really want
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I wanna really, really, really wanna zigazig ah
If you want my future, forget my past
If you wanna get with me, better make it fast
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I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)
I wanna really, really, really wanna zigazig ah
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
Taking is too easy, but that's the way it is
Oh, what do you think about that
Now you know how I feel
Say, you can handle my love, are you for real
(Are you for real)
I won't be hasty, I'll give you a try
If you really bug me then I'll say goodbye
Yo I'll tell you what I want, what I really, really want
So tell me what you want, what you really, really want
I wanna, (ha) I wanna, (ha) I wanna, (ha) I wanna, (ha)
I wanna really, really, really wanna zigazig ah
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
(You've got to give)
Taking is too easy, but that's the way it is
So, here's a story from A to Z
You wanna get with me, you gotta listen carefully
We got Em in the place who likes it in your face
You got G like MC who likes it on a
Easy V doesn't come for free, she's a real lady
And as for me, ha you'll see
Slam your body down and wind it all around
Slam your body down and wind it all around
If you wanna be my lover, you gotta get with my friends
(Gotta get with my friends)
Make it last forever, friendship never ends
If you wanna be my lover, you have got to give
(You've got to give)
Taking is too easy, but that's the way it is
If you wanna be my lover
You gotta, you gotta, you gotta, you gotta, you gotta
Slam, slam, slam, slam (make it last forever)
Slam your body down and wind it all around
Slam your body down and wind it all around
Ha, ha, ha, ha, ha
Slam your body down and wind it all around
Slam your body down and zigazig ah
If you wanna be my lover
Step-by-step explanation:
Need help asap please
Answer:
58
Step-by-step explanation:
Find the missing value in the proportion 12/34 = 18/m.
Both the top and bottom numbers would have the same scale (ratio) in order to be a proportion.
Find the scale of the top numbers:
18/12 = 1.5
The top numbers have a scale of 1.5 so the bottom numbers also have a scale of 1.5
Multiply the known bottom number by the scale:
M = 34 x 1.5 = 51
Step-by-step explanation:
[tex] \frac{12}{34} = \frac{18}{m} \\ cross \: multiply \\ 12m = 612 \\ m = \frac{612}{12} \\ m = 51[/tex]
Please answer it. I will give brainliest if its correct..
Answer:
it is a 90 degrees angle
Step-by-step explanation:
because BHG and P is a right angle is that is a 90 degrees angle
Answer:
128 degrees.
Step-by-step explanation:
D and H are 90 degrees and you are already given the 38 degrees so therefore it is 128 degrees.
What is the z score associated with sleeping 503 minutes per night
Answer:
you need to mutiply zero meana503 neary by 500
consider the following exam scores from a class of 8 students
55,65,77,79,84,89.91,99
What is the rank of the student that scored a 77 on the exam?
Answer:
rank 6
Step-by-step explanation:
The radius of a cylinder is 5 cm and the height is 7 cm.
Find the Lateral Area for the cylinder.
8011
A7011
12011
17511
Answer:
70 πStep-by-step explanation:
Lateral Area of a Cylinder is A = 2πrh
Substitue the values in the above equation to get:
A = 2(π) * 5 * 7
A = 70 π
⅔ x 6/7 ÷ 8/14 help please
Answer:
1
Step-by-step explanation:
[tex]\frac{2}{3} *\frac{6}{7}[/tex] ÷ [tex]\frac{8}{14}[/tex]
= [tex]\frac{2}{3} *\frac{6}{7} *\frac{14}{8}[/tex]
=[tex]\frac{2}{3} *\frac{6}{7} *\frac{7}{4}[/tex]
=[tex]\frac{2*6*7}{3*7*4}[/tex]
=[tex]\frac{84}{84}[/tex]
=1
Plz help !!!!!!!!!!!
Given:
The function is:
[tex]f(x)=-4x^9[/tex]
To find:
The end behaviors of the given function.
Solution:
We have,
[tex]f(x)=-4x^9[/tex]
The leading coefficient is -4 which is a negative value and the degree of the leading coefficient is 9 which is an odd number. So,
[tex]f(x)\to \infty[/tex] as [tex]x\to -\infty[/tex].
[tex]f(x)\to -\infty[/tex] as [tex]x\to \infty[/tex].
Hence, as [tex]x\to -\infty[/tex], [tex]f(x)\to \infty[/tex] and as [tex]x\to \infty[/tex], [tex]f(x)\to -\infty[/tex].
Which Number has the highest value?
-25
16
-32
34
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
its the largest, positive number
Find the volume of the square pyramid shown (please help)
Answer:
Given:
b = 8 cm
h = 3 cm
Find : Volume
Formula: V = [tex]a^{2}[/tex]h/3
Solution: V = (8 cm)2 ( 3 cm)/ 3
V = (64 cm2)(3 cm)/3
V = 192 cm3/3
V = 64 cubic cm
Please help no links please!