Answer:
The sample size is [tex]n = 246[/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 4\ lb[/tex]
The confidence level is C = 95%
The total width is [tex]w = 1 \ lb[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 -95 )\%[/tex]
=> [tex]\alpha = 0.05[/tex]
From the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2}} * \sigma }{E}]^2 [/tex]
Here E is the margin of error which is mathematically represented as
[tex]E = \frac{w}{2}[/tex]
=> [tex]E = \frac{1}{2}[/tex]
=> [tex]E = 0.5 [/tex]
So
[tex]n = [\frac{1.96 * 4 }{0.5}]^2 [/tex]
[tex]n = 246[/tex]
Two consecutive vertices of a regular octagon are located at (1, 4) and (4,8). This octagon's perimeter is.....?
Answer:
40 units
Step-by-step explanation:
An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.
Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points [tex]X(x_1,y_1)\ and\ Y (x_2,y_2)[/tex].
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Hence:
[tex]Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units[/tex]
Since all the sides of a regular octagon are equal, therefore:
Perimeter = 8 × length = 8 × 5 = 40 units
=
Drag up the correct symbol to make each statement true.
Answer:
1. >
2.>
3.<
4. <
Step-by-step explanation:
I am doing it from top to bottom
I hope this helps! :)
Make w the subject of the relation p=2 (k+w)
Answer:
hope that will help you
w = ( p - 2k )/2
Step-by-step explanation:Hi there !
p = 2(k + w)
2k + 2w = p
2w = p - 2k
w = ( p - 2k )/2
Good luck !
Given the graph of the absolute value function below write the function in the form?
Answer:
g(x)=|(2)(x+4)|-2
Step-by-step explanation:
B=0.5
h= -4
k= -2
How do you do this question?
Answer: Choice A
Explanation:
The sequence converges to a nonzero value, so as n gets very large, the partial sums will grow forever (since we're effectively adding at least 1 to each term regardless how large n gets)
The reason why [tex]s_n[/tex] approaches 1 is because the 1/n term goes to 0 when n gets very large.
For each of the following questions, say whether the random process is a binomial process or not, and explain your answer. As part of your explanation, you will want to comment on the potential validity of each of the four things that must be true for a process to be a binomial process.
a. One basketball player attempts 10 free throws and the number of successful attempts is totalled.
b. Ten different basketball players each attempt 1 free throw and the total number of successful attempts is totalled.
Answer:
a
This process follows is a binomial process
b
This process is not a binomial process
Step-by-step explanation:
Considering the first statement
One basketball player attempts 10 free throws and the number of successful attempts is totaled.
This process is a binomial process because
The number of trials is finite Each trial is independent of the other There is only two possible outcome (make a basket and make no basket The probability of making a basket and not making a basket is constant throughout the trialsOne basketball player attempts 10 free throws and the number of successful attempts is totaled.
This process is not a binomial process because chance that is the probability of success and failure will remain constant throughout the trial is not equal (what this means is that given the number of player is more than on their probability of success and failure will differ.)
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is . Suppose you sit on a bench in a mall and observe people's habits as they sneeze. (a) What is the probability that among randomly observed individuals exactly do not cover their mouth when sneezing? (b) What is the probability that among randomly observed individuals fewer than do not cover their mouth when sneezing? (c) Would you be surprised if, after observing individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly individuals do not cover their mouth is nothing. (Round to four decimal places as needed.) (b) The probability that fewer than individuals do not cover their mouth is nothing. (Round to four decimal places as needed.) (c) Fewer than half of individuals covering their mouth ▼ would would not be surprising because the probability of observing fewer than half covering their mouth when sneezing is nothing, which ▼ is is not an unusual event. (Round to four decimal places as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X = 8) = 0.0037[/tex]
b
[tex]P(X < 5) = 0.805[/tex]
c
[tex]P(X > 6) = 0.0206[/tex]
I would be surprised because the value is very small , less the 0.05
Step-by-step explanation:
From the question we are told that
The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]
Generally data collected from this study follows binomial distribution because the number of trials is finite , there are only two outcomes, (covering , and not covering mouth when sneezing ) , the trial are independent
Hence for a randomly selected variable X we have that
[tex]X \ \ \~ \ \ { B ( p , n )}[/tex]
The probability distribution function for binomial distribution is
[tex]P(X = x ) = ^nC_x * p^x * (1 -p) ^{n-x}[/tex]
Considering question a
Generally the the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X = 8) = ^{12} C_8 * (0.267)^8 * (1- 0.267)^{12-8}[/tex]
Here C denotes combination
So
[tex]P(X = 8) = 495 * 0.000025828 * 0.28867947[/tex]
[tex]P(X = 8) = 0.0037[/tex]
Considering question b
Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]P(X < 5 ) =[P(X = 0 ) + \cdots + P(X = 4)][/tex]
=> [tex]P(X < 5 ) =[ ^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0} + \cdots + ^{12} C_4 * (0.267)^4 * (1- 0.267)^{12-4} ][/tex]
=> [tex]P(X < 5 ) = 0.02406 + 0.10516 + 0.21067 + 0.25580 + 0.20964[/tex]
=> [tex]P(X < 5) = 0.805[/tex]
Considering question c
Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as
[tex]P(X > 6) = 1 - p(X \le 6)[/tex]
=> [tex]P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)][/tex]
=> [tex] P(X > 6)=1 - [^{12} C_0 * (0.267)^0 * (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 * (0.267)^6 * (1- 0.267)^{12-6} ][/tex]
=> [tex] P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ][/tex]
=> [tex]P(X > 6) = 0.0206[/tex]
I would be surprised because the value is very small , less the 0.05
(a )randomly observed individuals exactly do not cover their mouth when sneezing
[tex]P[x=8]=0.0037[/tex]
(b) randomly observed individuals fewer than do not cover their mouth when sneezing
[tex]P[x < 5]=0.805[/tex]
(c) fewer than half covered their mouth when sneezing
[tex]P(x > 6)=0.0206[/tex]
What will be the probability?It is given in the question that
The probability a randomly selected individual will not cover his or her mouth when sneezing is
[tex]P=0.267[/tex]
Generally, data collected from this study follows binomial distribution because the number of trials is finite, there are only two outcomes, (covering, and not covering mouth when sneezing ), the trial is independent
The probability distribution function for binomial distribution is
[tex]P(x=8)=n C_X\times p^x\times (1-p)^{n-x}[/tex]
Generally, the probability that among 12 randomly observed individuals exactly 8 does not cover their mouth when sneezing is mathematically represented as
[tex]P(x=8)=12c_8\times (0.267)^8\times (1-0.267)^{12-8}[/tex]
[tex]p(x=8)=495\times 0.000025828\times 0.2886794[/tex]
[tex]p(x=8)=0.0037[/tex]
Generally, the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as
[tex]p(x < 5)=[p(x=0)+......+p9x=4)][/tex]
[tex]p(x < 5)=[12c_0\times(0.267)^0\times(1-0.267)^{12-0}+........+12c_4\times(0.267)^4\times (1-0.267)^{12-4}[/tex]
[tex]p(x < 5)=0.02406+0.10516+0.21067+0.25580+0.20964[/tex]
[tex]p(x < 5)=0.805[/tex]
Generally the probability that fewer than half(6) covered their mouth when sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as
[tex]p(x > 6)=1-p(x\leq 6)[/tex]
[tex]p(x > 6)=1-[p(x=6)+......+p(x=6)][/tex]
[tex]p(x > 6)=1-[12c_0(0.267)^0\times(1-0.267)^{12-0}+....+12c_4\times(0.267)^6\times(1-0.267)[/tex]
[tex]p(x > 6)=1-[0.02406+.....+0.0519][/tex]
[tex]p(x > 6)=0.0206[/tex]
Thus
(a )randomly observed individuals exactly do not cover their mouth when sneezing
[tex]P[x=8]=0.0037[/tex]
(b) randomly observed individuals fewer than do not cover their mouth when sneezing
[tex]P[x < 5]=0.805[/tex]
(c) fewer than half covered their mouth when sneezing
[tex]P(x > 6)=0.0206[/tex]
To know more about probability follow
https://brainly.com/question/25839839
Please help me solve this I will give u brainlst :)
describe how you can
identify if two lines are coinciding using substitution, elimination, and/or
graphing methods? *
To use substitution to identify if two lines intersect,
1. Rearrange one of the two given equations so that only one variable is on one side of the equation with all other values on the other side of the equation. (if needed)
2. Plug this new equation into the other (in place of a variable)
3. Solve the equation to get the answer of one of the variables
4. Plug this variable into one of the two original equations and solve for the second variable (if needed)
5. Plug both variables back into one of the original equations. If both sides of the equation are equal, the two lines do coincide.
Example:Equation 1: 2x+3y=9
Equation 2: x+8=3
1. Rearrange equation 2
x+8=3
x=3-8
x=-5
2. Plug -5 into the first equation as x
2x+3y=9
2(-5)+3y=9
3. Solve this equation
-10+3y=9
3y=9+10
3y=19
y=[tex]\frac{19}{3}[/tex]
4. Plug x and y back into the first equation
2x+3y=9
2(-5)+3([tex]\frac{19}{3}[/tex])=9
-10+19=9
9=9
Therefore, these two lines do coincide. The point of intersection is (-5,[tex]\frac{19}{3}[/tex]).
Using Elimination:To use elimination to identify if two lines intersect:
1. Multiply one or both of the equations by a factor so both equations have either an x or y coefficient that are equal or opposite of each other (if needed)
2. Add or subtract the two equations to get rid of one variable
3. Solve this new equation for a variable
4. Substitute this variable into one of the two equations to solve for the other
5. Plug both variables back into one of the equations. If both sides are equal, the two lines do coincide.
Example:Equation 1: 2x+3y=4
Equation 2: 4x+2y=3
1. For this specific system of equations, we would multiply the first equation by 2.
2x+3y=4
4x+6y=8
Notice how now, both equations have 4x in them, so we can subtract them:
2. Subtract the new equation from the second original equation
4x+6y=8
- 4x+2y=3
4y=5
3. Solve
4y=5
y=[tex]\frac{5}{4}[/tex]
3. Substitute y back into the first equations (any of the two equations will work) to solve for x
2x+3y=4
2x+3([tex]\frac{5}{4}[/tex])=4
2x+[tex]\frac{15}{4}[/tex]=4
2x=4-[tex]\frac{15}{4}[/tex]
2x=[tex]\frac{16}{4}[/tex]-[tex]\frac{15}{4}[/tex]
2x=[tex]\frac{1}{4}[/tex]
x=[tex]\frac{\frac{1}{4} }{2}[/tex]
x=[tex]\frac{1}{4}*\frac{1}{2}[/tex]
x=[tex]\frac{1}{8}[/tex]
4. Plug both variables back into the first equation (either equation works)
2x+3y=4
2([tex]\frac{1}{8}[/tex])+3([tex]\frac{5}{4}[/tex])=4
[tex]\frac{1}{4}[/tex]+[tex]\frac{15}{4}[/tex]=4
[tex]\frac{16}{4}[/tex]=4
4=4
Since the left side equals the right side, the two lines are coinciding.
Using Graphing Methods:To use graphing methods to identify if two lines coincide, we would just have to graph the line and identify if the two lines meet at a point of intersection/overlap each other.
I hope this helps!
what is the answer of the question I need urgent answer please
Step-by-step explanation:
therefore the answer is 25/9
PLEASE HELP!
Casey has 48 red peppers and 16 yellow peppers.
If Casey wants to put the peppers into baskets so that each basket has the same number of red peppers and the same number of yellow peppera, what is the greatest number of baskets he can make? How many of each type of pepper will be in each basket?
Answer:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.
Step-by-step explanation:
Greatest Common Divisor (GCD)
The GCD of x and y is the maximum possible number that evenly divides both of them.
For example, GCM(36,48) is 12 because 36/12 is a whole number and 48/12 is also a whole number and 12 is the greatest of all possible candidates. Note that 6 is also a common divisor (36/6 and 48/6 are whole numbers), but it's not the maximum.
Casey has 48 red peppers and 16 yellow peppers. Since he wants to put them into baskets in such a way that each basket has the same number of red peppers and the same number of yellow peppers, we must find the greatest divisor for both numbers to maximize the number of baskets.
The GCM(48,16) is 16. Number of red peppers per basket=48/16=4. Number of yellow peppers per basket=16/16=1, thus:
Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.
An object’s speed and direction is its ________.
Simplify the expression using the following values:
w=−4; v=5; u=2
4w² − v + 3u
Given:
w=-4v=5u=2Step by step explanation:
Step 1:
[tex]4w² − v + 3u[/tex]
Step 2:
[tex] = {4( - 4)}^{2} - 5 + 3 \times 2[/tex]
Step 3:
[tex] = 4(16) - 5 + 6[/tex]
Step 4:
[tex] = 64 - 5 + 6[/tex]
Step 5:
[tex] = 64 + 1[/tex]
Step 6:
[tex] = 65✓[/tex]
will he take the job direct speech into indirect speech
Will he take the job?
Indirect Speech:He asked whether he would take the job.
Hope it helps.ray4918 hereHELP QUICK WILL GIVE BRAINLIEST
Step-by-step explanation:
Find the product.
(36 + 4) (262 – 6 + 4)
Answer:
10,400
Step-by-step explanation:
(36+4)= 40
(262-6+4)= 260
(40)(260)= 10,400
Answer:
10,400
Step-by-step explanation:
Add 36 + 4
40
Now we do the second parentheses.
262 - 6 = 256
256 + 4 = 260
Now we multiply.
40 multiplied by 260 = 10,400
Hope I helped :)
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The value of 2 in 724,638, is 20,00p?
Step-by-step explanation:
total value would be 20,000
place value is hundreds of thousands
that's my opinion cuz I didn't fully understand it but I tried thanks
Describe the Transformation and CHOOSE ALL THE
CORRECT ANSWERS! (MORE THAN 1 RIGHT
ANSWER).
f(x) = -2(x+3) 3 - 3
16. Solve the equation by factoring.
2² - 62-27=0
a. z = 3 or z = 9
b. z = 3 or z = -9
c. z = -3 or z = -9
d. z = -3 or z = 9
Answer:
Step-by-step explanation:
B
The city has granted you a low property tax rate on your new hotel, and you will be paying $302,850 in taxes in the first year. After the first year, the tax you pay will then increase by 2% per year for the next 3 years. What will you pay in taxes at the end of the third year?
Answer:
the answer is $332135 for this question
Carol and Linda are both selling cookies.
Carol sells her cookies for $1.25 per box, and she
already made $64.00. Linda sells her cookies for
$220 per box, and she already made $45.00. If both
of them sell the same number of boxes of cookies,
which one of the following inequalities can help you
find the least possible value of b, the number of
boxes of cookies Linda must sell so she will make
more money than Carol?
Answer:
This inequality is impossible. Assuming this is realistic, Linda cannot sell part of a box of cookies and therefore cannot make less than $220.
Step-by-step explanation:
Utilizando la equivalencia indicada, resuelve el siguiente ejercicio:
1 galón = 3.785 litros
42 galones = ____ litros
Answer:
158.97 litros
Step-by-step explanation:
Multiply 42 by 3.785 to get 158.97.
First, rewrite 17/25 and 7/10
so that they have a common denominator.
Answer:
85/50. 35/50
You would times 17/25 by 5 and you would get 85/50 which would simplify to 1 35/50
you would multiply 7/10 by 5 to get 35/50
Sarah is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters?
A. 150 millimeters
B. 1,500 millimeters
C. 100 millimeters
D. 1,000 millimeters
Answer:
B. 1,500 millimeters
NOBODY IS ANSWERING THIS PLEASE PLEASE PLEASE ANSWER ILL LOVE YOU FOREVER
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP
Answer:
D
Step-by-step explanation:
It looks right
sorry if it’s wrong
Washington Middle School has the annual musical production this weekend. Of the 900 tickets sold, 45 percent are for the Friday night performance. How many tickets were sold for the Friday night performance?
Answer:
405 tickets
Step-by-step explanation:
Answer:
45% of 900=900(0.45)=405. The third answer Is correct.
Step-by-step explanation: i took a quiz with this
y-intercept of (-2,2) and (-5,-4)
Answer:
-8
Step-by-step explanation:
(16/81
[tex](16 \div 81)1 \div 4[/tex]
what is - 5/6 divided by 9/10?
- 27/25
- 4/3
- 25/27
- 3/4
Answer
-25/27
Step-by-step explanation:
Ten times a number is 36 more than four times that number. Find the number.
Answer:
6
Step-by-step explanation:
10x=36+4x
6x=36
x=6