The random variable R has the binomial distribution B (12,0.35) .find P(R>4)
Answers
Answer: \(0.416655\)
Step-by-step explanation:
If random variable X has the binomial distribution B(n, p), then
\(P(X=x)=\ ^nC_xp^x(1-p)^{n-x}\)
, where n= Total number of trials, x = number of successes , p= probability of success in each trial.
Given: The random variable R has the binomial distribution B (12,0.35).
n= 12, = 0.35
\(P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655\)
Hence, P(R>4)=0.416655
Related Questions
(c) Given the expression x, the value of the coefficient is
Answers
Answer:
Before a variable there is no coefficient.
There is an invisible 1 infront bc there is no real number. so the 1 appears.
Micro Knowledge sells 5 times as many computers as Morse Electronics. The difference in sales between the two stores is 20 computers. How many computers did each store sell?
Answers
Answer:
Morse electronics sells 5 computers
Micro knowledge sells 25 computers
Step-by-step explanation:
The computation is shown below:
Let us assume the morse electronics computer be x
So the micro knowledge computers be 5x
And, the difference between them is 20
Now the equation is
5 x - x = 20
4x = 20
x = 5
Hence, the morse electronics sells 5 computers
While on the other hand the micro knowledge sells
= 5 × 5
= 25 computers
The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
84° 68° 95° x°
Answers
Answer:
x=113
Step-by-step explanation:
because 95 + 84 + 68 is 247 360 - 247 = 113
A six-digit password is picked from the numerals 0 - 9. How many different passwords are possible if no number is repeated?
Answers
Answer:The answer is 600.
Step-by-step explanation:
Use the given functions to answer the question. F(x)=x^2
Answers
Enter an equation in standard form for the line.
Slope is -4, and (-9, -12) is on the line.
Answers
Answer:
\( 4x + y +48=0\)
Step-by-step explanation:
We are here given the slope of the line and one point through which it passes . The slope of the line is -4 and the point is (-9,-12) .
Here we can use the point slope form of the line as ,
\(\sf\longrightarrow y-y_1 = m(x-x_1) \)
Substitute the respective values ,
\(\sf\longrightarrow y - (-12) = -4\{ x -(-9)\} \)
Simplify LHS and RHS ,
\(\sf\longrightarrow y + 12 = -4( x +9) \)
Open the brackets in RHS ,
\(\sf\longrightarrow y + 12 = -4x -36 \)
Add 36 and 4x to both sides ,
\(\sf\longrightarrow \underline{\boxed{\orange{\sf 4x + y + 48 =0}}}\)
graph the line by plotting any two ordered pairs that satisfy the equation.
\(y = \frac{4}{3} x - 4\)
One of the ordered pairs must be Y Intercept.
Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.
Answers
Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of
\(y = mx + b\)
where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
Which expression has a value that is equivalent to 5n + 13 when n=−5?
Answers
Answer:
-25+13 answer is -12
Step-by-step explanation:
Explain how to use the distributive property to find an expression that is equivalent to 20+10
Answers
Answer: 2(10+5)
Step-by-step explanation: half of 20 is 10. half of 10 is five and i put them both in parentheses. outside the parenthesis i placed 2 so it is multiplied to the inner set of numbers.
Kaleigh wants to buy a car that costs $17360. She deposits $14,000 in a savings account that earns 8% simple interest. How long was Kaylee leave the money in the savings account to be able to buy the car?
Answers
Answer:
Kaylee must leave the money in the savings account for 3 years.
Step-by-step explanation:
Given that Kaylee wants to buy a car that costs $ 17,360, and she deposits $ 14,000 in a savings account that earns 8% simple interest, to determine how long was Kaylee leave the money in the savings account to be able to buy the car must be made the following calculation:
14,000 + (14,000 x 0.08 x X) = 17360
1,120X = 17,360 - 14,000
X = 3,360 / 1,120
X = 3
Therefore, Kaylee must leave the money in the savings account for 3 years.
A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 4; Mx = 2 What is the regression equation for this data? Using this regression equation, what is the value of predicted Y when X
Answers
The regression equation for this data is y = -6+5x.
Using this regression equation, the value of predicted Y when X=3 is 9.
In the given question, a researcher conducted a number of descriptive statistics for two variables X and Y.
We have to find the regression equation for this data.
Then using this regression equation, we have to find the value of predicted Y when X=3.
We have given that
SP = 15
SSx = 3
My = 4
Mx = 2
B1 = Sp / SSx
B1 = 15/3=5
B0 = My-^B1Mx
B0 = 4-5*2=-6
So, the regression equation for this data is:
y = -6+5x
For x=3, the predicted value of y is
y = -6+5*3
y(predict) = 9
To learn more about regression equation link is here
brainly.com/question/14184702
#SPJ4
The write question is given below:
Susie is three times as older as her sister Jenny. Paula is 7 years younger
than Jenny.
Write an expression in simplest form that represents the sum of their ages.
Answers
P - 7 = J is an expression in simplest form that represents the sum of their ages.
What is a mathematical expression?
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.
Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression.
Susie is three times as older as her sister Jenny.
3S = J
Paula is 7 years younger than Jenny.
P - 7 = J
Learn more about expression
brainly.com/question/14083225
#SPJ1
$9: 4 visitors - $18 : 8 visitors proportion or non proportion
Answers
Answer:
That would be proportionate
Step-by-step explanation:
Just compare the two ratios
9/4
18/8
they are the same if you find the lcm of both
18/8
18/8
Miss x baked 286 loaves of bread on Saturday. She baked 78 fewer loaves of bread on Saturday that Sunday.How many loaves of bread did she bake on both days?
Answers
Miss x baked 286 loaves of bread on Saturday and 208 loaves of bread on Sunday. To calculate the total loaves of bread baked on both days, we can subtract 78 from 286 to get the number of loaves of bread baked on Sunday.
Miss x baked 286 loaves of bread on Saturday. We know that she baked 78 fewer loaves of bread on Sunday than Saturday. To calculate the total loaves of bread baked on both days, we can subtract 78 from 286 to get the number of loaves of bread baked on Sunday. This gives us 208 loaves of bread baked on Sunday. Adding this to the 286 loaves of bread baked on Saturday, we get a total of 494 loaves of bread baked on both days. Therefore, Miss x baked 286 loaves of bread on Saturday and 208 loaves of bread on Sunday.
learn more about number here
https://brainly.com/question/10547079
#SPJ1
While Vivian was visiting her sister in Springfield, she bought a set of bunk beds that was marked down 25% from an original price of $80. If the sales tax in Springfield is 10%, what was the total cost of the set of bunk beds?
Answers
Answer:
66 i think
Step-by-step explanation:
Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?
Answers
Answer:
.84
Step-by-step explanation:
21/25 = .84
Given m \| nm∥n, find the value of x. m n t (7x+8)° (2x-26)°
Answers
Answer:
=14x3−166x2−208x
Step-by-step explanation:
(7x+8)(x)(2x−26)
=((7x+8)(x))(2x+−26)
=((7x+8)(x))(2x)+((7x+8)(x))(−26)
=14x3+16x2−182x2−208x
=14x3−166x2−208x
Hurry and answer this please I have to have this right or I'll have to be held back.From a group of 5 boys and 3 girls, a boy AND a girl will be selected to attend a conference. In how many ways can the selection be made?
Answers
Answer:
15 ways
Step-by-step explanation:
girl 1 and boy 1
girl 2 and boy 1
girl 3 and boy1
girl 1 and boy 2
girl2 and boy 2
girl 3 and boy 2
girl 1 and boy 3
girl 2 and boy 3
girl 3 and boy 3
girl 1 and boy 4
girl 2 and boy 4
girl 3 and boy 4
girl 1 and boy 5
girl 2 and boy 5
girl 3 and boy 5
Identify the letter of the choice that best completes the statement or answers the question. How many different arrangements can be made using all of the letters in the word TOPIC? a. 20 c. 120 b. 10 d. 25 Please select the best answer from the choices provided A B C D
Answers
Using the arrangements formula, it is found that the number of different arrangements that can be made using all of the letters of TOPIC is given by:
c. 120
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
\(A_n = n!\)
In this problem, the word TOPIC has 5 non-repeating letters, hence the number of arrangements is given by:
\(A_5 = 5! = 120\).
Which means that option C is correct.
More can be learned about the arrangements formula at https://brainly.com/question/25925367
#SPJ1
Would you expect the rates of change of a car's speed during a drive through a city to be constant or variable?
Answers
Answer:Variable
Step-by-step explanation:
The speed would always be changing, meaning varying. It would not be a static speed or constant speed.
Suppose M is the midpoint of FG. Find the missing measure.
FG= 11x – 15.6, MG = 10.9
Answer X= ?
Answers
A midpoint divides a line segment into equal halves.
The value of x is 3.4
Given that:
\(FG = 11x - 15.6\)
\(MG = 10.9\)
Since M is the midpoint, then:
\(FG = 2 \times MG\)
So, we have:
\(11x - 15.6 =2 \times 10.9\)
\(11x - 15.6 =21.8\)
Collect like terms
\(11x =15.6 +21.8\)
\(11x =37.4\)
Solve for x
\(x =3.4\)
Hence, the value of x is 3.4
Read more about midpoints at:
https://brainly.com/question/2441957
High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock, or country.
Their choices were as follows:
Grades 9–10—Rap: 40; Rock: 30; Country: 55
Grades 11–12—Rap: 60; Rock: 25; Country: 35
Which of the following is a correct two-way frequency table for the data?
Answers
The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:
Rap Rock Country Total
Grades 9 - 10 40 30 55 125
Grades 11 - 12 60 25 35 120
Total 100 55 90 245
Option A is therefore correct.
How to construct a two-way frequency table ?In a two-way frequency table, there will be totals for both the rows and the columns.
The totals for the rows in this instance are:
Grade 9 - 10 totals :
= 40 + 30 + 55
= 125
Grade 11 - 12 :
= 60 + 25 + 35
= 120
The totals for the columns are:
Rap totals :
= 40 + 60
= 100
Rock :
= 30 + 25
= 55
Country :
= 55 + 35
= 90
Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.
Find out more on two-way frequency tables at https://brainly.com/question/20744563
#SPJ1
2/3(x+8)=-18 what is the value of x
Answers
Answer:
bzbzbzbzhzhzjsjsjjss
PLEASE HELP ME
Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards.
The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box.
Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack.
Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?
Answers
Answer:
They can make 30 Bags total.
Step-by-step explanation:
Jane has $17. There are 12 pencils in each pack for $1.60.
Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.
1.69 x 10 = 16.9
Eric has $19. There are 150 cards in one pack for $2.99.
Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.
2.99 x 6 = 17.94
Eric.
150^6 = 900
900/30 = 30
Jane.
12^10 = 120
120/2 = 60
60/2 = 30
Together.
30 cards can go into 30 bags, and 2 pencils can go into 30 bags
solve for m KLM. i have no idea how to do this
Answers
Answer:
75
Step-by-step explanation:
just add them up to get the angle
Two old RSM students were standing 10 feet apart when they spotted Mrs. Rifkin. If
they immediately run in opposite directions at the speeds of 150 feet per minute and
160 feet per minute respectively, how many minutes will pass before they are 1870
feet apart?
Answers
Answer:
6
Step-by-step explanation:
Speed = Distance/time
Therefore time must = distance/speed
Since the two students are running apart from eachother, we can add their speeds together.
Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.
1860 feet/(150+1650) feet per minute
We can cancel out the feet since it's a common term.
And we're left with 6 minutes.
The time before they are 1870 feet apart is mathematically given as
X=6min
What is the time before they are 1870 feet apart?
Question Parameters:
Two old RSM students were standing 10 feet apart
at the speeds of 150 feet per minute
they are 1870
feet apart
Generally, the time they are apart is mathematically given as
X=final distance apart/speeds of run
Therefore
X=1870/(150+160)
X=6min
In conclusion,time before they are 1870 feet apart
X=6min
Read more about width
https://brainly.com/question/2096451
The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?
Answers
Answer:
Option (2)
Step-by-step explanation:
In this question we have to calculate the rate of earning or proportionality constant of Abigail.
Since, earning of Abigail (y) ∝ Time worked (t)
y = kt
Here, k = Proportionality constant
From the table attached,
If y = $709.80 and x = 21 hours
709.80 = 21k
k = \(\frac{709.8}{21}\)
k = $33.80 per hour
Therefore, rat of earning or proportionality constant is $33.80
Option (2) will be the correct option.
plsss help meeeeeee I would really appreciate it I would be really happy if u help meeee
Answers
\(the \: answer \: is \: 22.4 \: cm \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps\)
The length of AE is 22.4cm rounded to one decimal place.
If y 1/x and y = 2 when x = 13, find the equation that connects x and y.
Answers
The relation for x and y is given as y = 26/x. The correct answer is option (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The proportionality relation between x and y as
y ∝ 1/x
And, y = 2 at x = 13.
Suppose k is the constant of proportionality.
Then, y = k/x
Substitute y = 2 and x = 13 in the above equation to obtain,
2 = k/13
=> k = 26
Thus, by substituting the value of k the equation can be written as y = 26/x.
Hence, the equation that relates x and y is y = 26/x.
To know more about proportionality click on,
brainly.com/question/22620356
#SPJ1
According to the New York Stock Exchange, the mean portfolio value for U.S. senior citizens who are shareholders is $183,000. Assume portfolio values are normally distributed. Suppose a simple random sample of 51 senior citizen shareholders in a certain region of the United States is found to have a mean portfolio value of $198,000, with a standard deviation of $65,000.
a. From these sample results, and using the 0.05 level of significance comment on whether the mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation, by using the critical value method. Establish the null and alternative hypotheses.
b. What is your conclusion about the null hypothesis?
Answers
Answer:
The test statistic value t = 1.64 < 2.0086 at 0.05 level of significance
Null hypothesis is accepted
The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation
Step-by-step explanation:
Step(i):-
Given mean of the population (μ) = $183,000
Given mean of the sample (x⁻) = $198,000
Given standard deviation of the sample (S) = $65,000.
Mean of the sample size 'n' = 51
level of significance α = 0.05
Step(ii):-
Null hypothesis : H₀ : There is no significance difference between the means
Alternative Hypothesis :H₁: There is significance difference between the means
Test statistic
\(t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }\)
t = 1.64
Step(iii)
Degrees of freedom ν = n-1 = 51-1 =50
t₀.₀₅ = 2.0086
The calculated value t = 1.64 < 2.0086 at 0.05 level of significance
Null hypothesis is accepted
Final answer:-
There is no significance difference between the means
The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation