PLEASE HELP!!!!
2. Toss 4 times Imagine tossing a fair coin 4 times . (a ) Give a probability model for this chance process . (b) Define event B as getting exactly three tails . Find P(B)
Answer:
If a coin is tossed 4 times; number of possible outcomes = (2^4) = 16. 3 heads and 1 tail can occur from 4 tosses in (4C3)*(1C1) = 4*1 = 4 ways. So, the probability = (4 / 16) = (1 / 4) = 0.25.
i didnt really understand the question but hope this helps
According to the information given, we have that:
a) A binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.b) P(B) = 0.25.For each coin, there are only two possible outcomes, either it is heads, or it is tails. The result of the flip of a coin is independent of any other flip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.Item a:
The coin is tossed 4 times, hence [tex]n = 4[/tex].It is a fair coin, hence equally as likely to be heads and tails, which means that [tex]p = 0.5[/tex].Hence, a binomial model with [tex]p = 0.5[/tex] and [tex]n = 4[/tex] should be used.
Item b:
P(B) is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
Hence, P(B) = 0.25.
To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377
you convert 71,100,000 into scientific notation?
The graph shows the cube root parent function.
Answer: C
Step-by-step explanation:
The function is always increasing
The function is increasing when x>0 for the graph of [tex]y= \sqrt[3]{x}[/tex] as parent function.
What is graph?" The graph is defined as the representation of relation between two variables on the coordinate plane."
According to the question,
Given graph of the cube root parent function
For function [tex]y= \sqrt[3]{x}[/tex]
x = 0 ⇒ y = 0
x = 1 ⇒ y = 1
x = 8 ⇒ y = 2
x = 27 ⇒ y = 3
Therefore, for x>0, function [tex]y= \sqrt[3]{x}[/tex] is increasing.
Hence, Option(D) is the correct answer.
Learn more about graph here
https://brainly.com/question/20381610
#SPJ2
figure is made from a part of a square and a part of a circle.
$
This figure
10
a) What is the perimeter of this
figure, to the nearest unit?
Answer:
Step-by-step explanation:
Answer:38
Step-by-step explanation:
Question 10
Evaluate 122 – 3 [4 () – (18)].
Answer:
here is the answer -(12)/(-3)
Step-by-step explanation:
PLEASE MARK BRAINILIEST!
Can anyone help me with this algebra problem ?
Answer:
a
Step-by-step explanation:
Answer:
y=mx+b is the form in which these equations are. B represents the y intercept and M is the slope
currently to find slope we need to get y alone on the left side of the equation for all the answers:
A.y-4=3(x-2) -----> y-4=3x-6 (i also distributed) ----> y=3x-2
B. y+4=-3(x+2)----> y+4=-3x-6 -------> y=-3x-10
C. y-2=-3(x-4) --------> y-2=-3x+12 ------> y=-3x+14
D. y-4= -3( x-2) --------> y-4= -3x+6 ---------> y=-3x+10
All of these equations except A have a slope of -3 so A is already out and to find which one is valid we need to plug in the point (2, 4) for each of the equations
B. 4=-3(2)-10 ------> 4=-6-10----> 4=-16- not valid
C. 4 =-3(2)+14 -----> 4=-6+14------>4=8 not valid
D. 4=-3(2)+10 ----->4=-6+10 ------> 4=4 - Valid
Only D is correct
Step-by-step explanation:
pls help me
(answer choices)
a: 134
b:46
c:136
d:43
Answer:
i wanna say its 136 but im not completely sure
Geometry (congruent triangles ) help please idk what to do
Answer:
H
PLEASE MARK BRAINLIEST
Please I will give brainylest if the answer is correct
Answer:
a^n +3
Step-by-step explanation:
simpify: a^na^3:\quad a^{n+3}
a^{n+3}
Choose the expression equivalent to 2^ -2 x
2^5.
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
La embotelladora La Pingüica llena de refresco cierta
cantidad de botellas por día. Calcula el número de
botellas llenadas sabiendo que la veinticincoava
parte del cuádruple de ellas menos 5 000 que se
rechazaron equivale a 3 640 de los envases. en lengua algebraico
Answer:
No hablo espanol.
puedes escribir en ingles
Step-by-step explanation:
Kayla's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 3 senior citizen tickets and 5 child tickets for a total of $70. The school took in $216 on the second day by
selling 12 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a
child ticket.
Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
Which of the following represents the range of the relation below?
{(0, 0), (1, 4), (6, 2)}
{0, 1, 2, 4, 6}
{0, 2, 4}
{1, 6}
{0, 1, 6}
Answer:
{ (0,0),(1,4),(6,2)
Range = {0,2,4}
77th term for -10,-8,-6
9514 1404 393
Answer:
142
Step-by-step explanation:
The first term of this arithmetic sequence is -10. The common difference is -8-(-10) = 2. The n-th term is ...
an = a1 +d(n -1)
an = -10 +2(n -1) = 2n -12
Then the 77th term is ...
a77 = 2(77) -12 = 154 -12
a77 = 142
The 77th term is 142.
Solve the equation that represents: The difference of five times a number and 6 is -2.
Answer:
5n-6= -2
Step-by-step explanation:
The difference of...... this means its asking us to subtract one number from another number
5 times a number...... that means 5n
6..... since it said DIFFERENCE, it would be -6
is -2........ this means the answer to the equation is -2
So the equation is 5n-6= -2
Hope this helps!
if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression
Answer:
8, 4, 0, -4, - 8, .........
Step-by-step explanation:
The n the term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and a₁₅ = - 48, then
8 + 14d = - 48 ( subtract 8 from both sides )
14d = - 56 ( divide both sides by 14 )
d = - 4
To obtain the progression subtract 4 from each term, that is
8, 4, 0, - 4, - 8, ......
Answer:
8, 4, 0, -4, -8, -12, -16, -20,...
Step-by-step explanation:
Arithmetic Progressions
The general term of an arithmetic progression (A.P.) is:
[tex]a_n=a_1+(n-1).r[/tex]
Where:
a1 = First term
an = Term number n
n = Number of the term
r = Common difference
We are given: a1=8, and a15=-48, n=15. Calculate r:
[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]
[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]
[tex]\displaystyle r=\frac{-56}{14}[/tex]
r = -4
We can get the terms of the progression by subtracting 4 to the previous term.
Thus, the first terms of the progression are:
8, 4, 0, -4, -8, -12, -16, -20,...
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Step-by-step explanation:
constant=7
coefficient=2
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At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *
Answer:the answer is 3/8.
Step-by-step explanation:
Substitution method
3x+2y=15
y=6x
Answer:
x = 1
Step-by-step explanation:
3x +2y = 15
y = 6x
Substitute y for 6x in 3x +2y = 15!
3x + 2(6x) = 15
3x + 12x = 15
Combine like terms
15x = 15
Divide both sides by 15
15x = 15
x = 1
Brainliest is much appreciated!
70.2 x 10
6.702 x 10?
7.02 x 100
7.02 x 10?
Answer:
70.2 x 10=702.
6.702 x 10=67.02
7.02 x 100=70.2
7.02 x 10=70.2
Step-by-step explanation:
I hope this help! :)
Hey I am super confused about the equation below. plzz help!!!
Answer:
50.
Step-by-step explanation:
12 x 45 = 540. 45 + 5 = 50.
Hi if someone can please help me answer the top one I will mark u brainliest
Answer:
D) [tex]1\frac{21}{40}m^2[/tex]
Step-by-step explanation:
We can first change the area of his garden into an improper fraction:
[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]
Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:
[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]
[tex]=1\frac{21}{40}m^2[/tex]
∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]
Hope this helps :)
How would I Graph y = -3/2x - 3
Answer:the slope is negative is the one with the x , -3/2 so that means the top of the line points to the top left
Start with -3 which on the y axis start on -3 go down thats the first dot point then do slope which is -3 down /2 right the opposite start again on -3 on the y go up 3 and 2 to the left connect points
Step-by-step explanation:
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
Answer:
543.2 miles
Step-by-step explanation:
Input the given value of x into the equation and solve for y:
y = -67.9x + 679
y = -67.9(2) + 679
y = -135.8 + 679
y = 543.2
The total distance in miles after 2 hours is 543.2 miles.
for a given input value of n, the function h outputs a value of m to satisfy the following equation.
m+1=-2(n+6)
write a formula for h (n) in terms of n
h(n)=
Answer:
h(n) = - 2n - 13
Step-by-step explanation:
Given
m + 1 = - 2( n + 6) = - 2n - 12 ( subtract 1 from both sides )
m = - 2n - 13, that is
h(n) = - 2n - 13
NEED ANSWER BY TODAY ( Nov 12, 2020 ) AT 6:30 p.m. ASAP.
The world's future society predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets carry 600 passengers. What will be the percent of the increase of airplane passengers?
P.S. this is a Percent increase/decrease
from: 600
to: 1400
%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)
Answer:
133.33333333 percent
the diffrence is 800
Step-by-step explanation:
[(1400 - 600) / 600] × 100%
= 1.3333333333 × 100%
= 133.33333333%
Answer:
133.33% increase
Step-by-step explanation:
This is a percent increase, and to solve for one you need to know the following formula
[tex]|\frac{new~value~-~original~value}{original~value}| *100[/tex]
Plugging it in;
New value = 1400
Old value = 600
[tex]|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333[/tex]
1.3333333 as a percent is
133.33%
So you have an increase of 133.33%
what 901 divided by 3
Answer:
300.33333
Step-by-step explanation:
There are 80 tickets in a bag and the ratio of winning tickets to losing tickets is 2 : 8. How many of each kind of ticket are in the bag?
Given:
Total number of tickets = 80
Ratio of winning tickets to losing tickets is 2 : 8.
To find:
The number of tickets of each kind in the bag.
Solution:
Let the number of winning and losing tickets are 2x and 8x respectively.
Total number of tickets = 80
[tex]2x+8x=80[/tex]
[tex]10x=80[/tex]
Divide both sides by 10.
[tex]x=\dfrac{80}{10}[/tex]
[tex]x=8[/tex]
Now,
Winning tickets : [tex]2(8)=16[/tex]
Losing tickets : [tex]8(8)=64[/tex]
Therefore, the winning and losing tickets are 16 and 64 respectively.
Jordan's dog with p.M. Pounds Emmett apostrophe s dog with 25% more than Jordan star which expression represents the weight in pounds of Emmett apostrophe s dog select all the apply a 0.25 P 1.25 p c p + 0.25 DP + 120.25
Answer: 1.25 p , where p= Weight of Jordan's dog
Step-by-step explanation:
Let p = Weight of Jordan's dog .
Given: Emmett apostrophe's dog with 25% more than Jordan star.
Then, weight (in pounds) of Emmett apostrophe s dog = p +25% of p
= p +0.25 p [We divide a number by 100 to remove %]
= p(1+0.25)
= p(1.25)
=1.25 p
Hence, the expression represents the weight in pounds of Emmett apostrophe's dog=1.25 p