Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that 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.In this problem:
55% of the students live within five miles of you, thus [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence, since [tex]q = 1, p = 0.55[/tex]:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex], hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence, since [tex]n = 5, p = 0.55[/tex]:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
C*C*C=???
helpp me with this
Check the picture below.
A recipe calls for 5 cups of cashews for 4 cups of flour. Using the same recipe, how many cups of flour will you need for 2 cups of cashews? » How many cups of flour will you need for 2 cups of cashews?
Answer:
8/5 cups
Step-by-step explanation:
equal 5/4 to 2/x x representing the amount of flour
cross multiply: 5x=8
divide: x=8/5
Melissa is riding her bike . She rides for 3 hours at a speed of 4.8 kilometers per hour . How far does she ride ?
Answer:
14/4
Step-by-step explanation:
speed.time=distance
3x4.8=14.4
[tex]\lim_{n \to \infty} (xe^{x} )/x+e^{x}[/tex]
[tex] \: \: \: \: [/tex]
[tex] lim_{n→ \infty }( \frac{xe ^{x} }{x + ex} ) [/tex]
the limit of a constant is equal to the constant[tex] \frac{x {e}^{x} }{x + ex} [/tex]
simplify the expression[tex] = \frac{ {e}^{x} }{1 + e} [/tex]
hope it helps[tex] \: \: \: [/tex]
Which table represents a linear function?
The table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below)
Recall:
A function that is linear has a dependent and independent variable, such that y = mx + b.The "m" represents the slope which is the same all through the points given.m = change in y / change in xThus, the fourth table has the following slope (m) that is the same across all points.
Using two pairs of points, (0, 1) and (1, 3):
Slope = 3 - 1/1 - 0 = 2/1
Slope (m) = 2
Any two pairs of points we use will give us the same slope (m) of 2.
Table 1, 2 and 3 will give us different slopes across the points on each table, meaning they do not represent a linear function.Therefore, the table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below).
Learn more here:
https://brainly.com/question/13510925
Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 cartons of blueberry yogurt. If Myra bought 3 more cartons of cherry yogurt than blueberry yogurt yesterday, how many cartons of cherry yogurt did she buy?
Answer:
9 cherry, 6 blueberry
Step-by-step explanation:
lets do a table!
cherry | blueberry
----------------------------
3 2
6 4
9 6
When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.
If 2x - 3x = 3 what is 16x / 64x?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]
[tex]\sf{Simplify\: the\: expression.[/tex]
[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Therefore, the answer is [tex]\frac{1}{4}[/tex]
Help help help help help help help
Answer:
(1,1)0that is the answer I think
Answer:
A = 1,1 B = 4,2 C = 2,4
Explanation:
90 cw (270 ccw) - Same y, opposite x.
180 - opposite x, opposite y
270 cw (90 ccw) - opposite y, same x
4. A) Joe types 200 words in 12 minutes, how many does he type per minute?
Answer:
Step-by-step explanation:
So, we divide 1200 by 25 to find out how many words per minute he types.
1200 / 25 = 48
So, he types 48 words per minute.
Now, we multiply this by 45 to find out how many words he can type in 45 minutes.
48 x 45 = 2,160
Joseph can type 2,160 words in 45 minutes!
Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that 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.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
6. A quadratic function has a minimum at (6,-2) and an x-intercept at (10,0).
What is the other x-intercept?
Answer:
(2,0)
Step-by-step explanation:
The minimum is 4 units from the x intercept on the x axis.
Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.
6+4=10
6-4=2
The other x intercept is at (2,0)
What is the terminal point of the vector a = (2,4) based at P = (3, 4)?
Explanation:
Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]
In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)
at a school that are 423 students and teachers altogether if the amount of students is made up of 212 girls and 163 boys,calculate the number of teachers there are at that school
Answer:
48
Step-by-step explanation:
212 + 163 = 375 <---- These are the students
423 - 375 = 48 <----- These are the teachers
What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.
Answer:
Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).
A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]
Given the following system of equations:
[tex]y=-2x-64[/tex] ...equation 1.
[tex]x-y=-36[/tex] ...equation 2.
To find a solution to the given system of equations, we would use the substitution method:
First of all, we would make x the subject of formula in equation 2.
[tex]x=-36+y[/tex] ...equation 3.
Substituting eqn. 3 into eqn. 1, we have:
[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]
For the value of x:
[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]
Read more: https://brainly.com/question/14413983
Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9
. She marks up the candles 85%
. How much does Jalisa charge per candle?
Answer:
$16.65
Step-by-step explanation:
To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65
Max and Toni’s flower bed is rectangular in shape. The length of the garden is 4 feet more than its width and the area of the flower bed is 96 square feet. If x represents the width of the flower bed, find the length and width of the old flower bed. Solve the quadratic equation using the quadratic formula. (20 points)
Answer: Width = 8ft, Length = 12 ft
Step-by-step explanation:
irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!
mayor jones received 1027 votes his opponent received 949 votes how many votes did mayor jones win by? 6th grade help most hepful answer gets 5 stars a comment and a like
Answer:
[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{99999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]
1. If (3,-5) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the
inverse of F(x)?
Answer Choices:
(3,-5)
(3,5)
(-5,3)
(5,-3)
Answer:
(-5,3)
Step-by-step explanation:
for a function, an x input produces a y output.
the inverse of that function would, when given the y value as an input, have the x value as the output. The x and y values change places.
increase 2.75 by 1/4
Answer:
1/4 in decimal form is 0.25. You can convert any fraction into a decimal by just diving the numerator by the denominator.
Every time you see a fraction sign basically “—“ it jsut means divide by.
Now you can just divide. 1/4= 0.25
now we Increase which just means add
2.75+0.25 =3
You make $5000 per morth. If you spend 50% on necessitles, 30% on stuff you want and 20% of it you end up saving, how much money do you save per month?
Answer:
$1000 per month
Step-by-step explanation:
5000 dollars is 100 percent so we put 5000 over 100
5000/100
then since we need to find 20 percent of something, we put x over 20
x/20
Then we cross multiply
5000 times x
100 20
so 100x = 100000
and x = 1000
Good luck, and hope I did this correctly
Answer:
1000
Step-by-step explanation:
NECESSITIES
$2,500
WANTS
$1,500
SAVINGS AND DEBT REPAYMENT
$1,000
74%, 3/4, 0.76 on a number line
Answer:
Step-by-step explanation:
you just graph it
Simplify the linear expression.
−23a+18−16a−34
Answer:
-39a - 16 is not the answer, it's -5/6a - 5/8
Step-by-step explanation:
Took the test and got it incorrect.
Answer:
-5/6a - 5/8
Step-by-step explanation:
There is a massive difference between -2/3a & -23a.
Same goes for 1/8 & 18, -1/6a & -16a, and -3/4 & -34.
My earlier answer, -39a - 16, IS correct for the question you wrote. What was incorrect was the question.
It is important to write the question properly because
−23a+18−16a−34
and
−2/3a+1/8−1/6a−3/4
will have very different answers.
In conclusion, make sure you write your question correctly. It's unfair to others genuinely trying to help who then are blamed for supplying the "wrong answer" by others who also copied and pasted from their school work.
If you had written, −2/3a+1/8−1/6a−3/4, then the answer would be -5/6a - 5/8.
Can someone please help me I will mark u brilliant
what led to the creation of the free-soil party?
A. To stop immigrants from entering the United States
B. To promote slavery across the West
C. To stop the spread of slavery
D. To achieve Manifest Destiny
Answer:
The answer is C
Step-by-step explanation:
brainliest plss
Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.
What is the equation?
Answer:
15$
Step-by-step explanation:
45 ÷ 3 = 15
7 Harper ordered 22 shirts for her soccer team. Seventy-five percent of these shirts were saa samall. How many
seal shirts did Harper order?
Answer:
16.5 shirts were small.
Step-by-step explanation:
0.75 x 22 = 16.5
Find complex numbers z=(x,y) such that
[tex]z ^{2} = - 5 - 12i[/tex]
Answer:
I don't know..,.............,,.,.......,
plz help I can't get it
Answer:
A) 0.25/0.6 B) 40:96 E) 1/3 / 0.8
Step-by-step explanation:
A)
0.25/0.6 = 1/4÷3/5
=5/12
B)
40:96 = 5:12 You can divide 40 and 96 both by 8 to get 5:12
=5/12
E)
1/3 / 0.8 = 1/3 ÷ 4/5
=5/12
Hope this helps :)
2. If (2, 3) is an ordered pair of the
function F(x), which of the following
must be an ordered pair of the inverse
of F(x)?
Answer Choices:
(3, 2)
(-2,-3)
(2,3)
(-3,-2)
Answer:
Inverse: (3, 2)
Step-by-step explanation:
Given the point, (2, 3), as an ordered pair of the function, f(x):
Since we know that for any functions, there is a one-to-one correspondence between each domain and range values. Conversely, each range value also corresponds to one domain value.
The inverse of a function, [tex]f^{-1}(x)[/tex], also has a one-to-one correspondence. Simply put, we are essentially switching the x and y values to determine the inverse of a function.
Therefore, given the ordered pair from f(x) = (2, 3), then the corresponding coordinates in the inverse function, [tex]f^{-1}(x)[/tex], must be (3, 2).
Find the equation of the line through (2,1) which is parallel to the line y=−7x−1.
Give your answer in the form y=mx+b
Answer:
y=-7x+15
Step-by-step explanation: