Answer:
Part a: P (14/30<x<21/30) = 0.1304
Partb: Expected value= Variance= 0.866
Step-by-step explanation:
The poisson distribution is given by
P(x)= μˣ . e^ -u/ x!
In this question
x= 1
n= 30
μ= 1/30
P(x)= μˣ . e^ -u/ x!
= 0.333. e⁻¹/³⁰/1!
= 0.33*0.967/1
= 0.32208
For 2 weeks
x= 14
n= 30
μ= 14/30
P(x)= μˣ . e^ -u/ x!
= 0.467. e⁻¹⁴/³⁰/14!
= 0.467*0.627/14!
= 0.29285/14!
=3.359*e⁻¹²
= 0.0139
For 3 weeks
x= 21
n= 30
μ= 21/30
P(x)= μˣ . e^ -u/ x!
= 0.7* e⁻²¹/³⁰/21!
= 0.7*0.4965/21!
= 0.3476/21!
=6.8037*e⁻²¹
= 0.11648
Part a:
P (14/30<x<21/30) = P (x= 14/30) + P (x=21/30)
(0.0139 +0.11648) =0.1304
Part b:
Probability of Not receiving the call for two weeks = 1- P (x= 14/30)=0.9861
The mean and the variance of the Poisson distribution are equal to μ
For x= 14
Expected value not getting wrongly dialed phone call in 2 week = μ= 1-14/30 = 1-0.467= 0.533
Variance of not getting wrongly dialed phone call in 2 week= μ=1- 14/30= 1-0.467= 0.533
Expected value of the additional time until the next wrongly dialed phone call
Expected value not getting wrongly dialed phone call in 2 weeks + Expected value of next wrongly dialed phone call in a month
= 0.533+0.33=0.866
Variance of the additional time until the next wrongly dialed phone call
= Expected value of the additional time until the next wrongly dialed phone call =0.866
Which is bigger: 3 pints or 8 cups?
Answer:
8 cups is bigger
Step-by-step explanation:
3 pints = 6 cups
6 < 8
PALEEZE Help Me!! The ceiling of Katie’s living room is a square that is 16 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 28 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work and draw a diagram to support your answer.
Answer:
At least 4
Step-by-step explanation:
Photo of my work and where I got the equation from
When working with a sample of size 25, find the area under a t-curve:
(a) Above 2.
(b) Below -1.6
(c) Between -0.9 and 1.9.
Answer:
YUH SHAWTY BAE SHAWTY BAD SHAWTY GAYYY
Step-by-step explanation:
CALL ME WHEN U WANT CALL ME WHEN U NEED CALL ME IN THE MORNING ILL BE ON THE WAYYYYY
Answer:
C
Step-by-step explanation:
Mark me brainllest
i need help [lzzzzzzzzzzzzzzzzz
Please help! What is the Area of the Triangle?
Answer and explanation please! <3
Answer:
5
Step-by-step explanation:
A1 = (h*b)/2
= ( (8-1)*(3-1) ) /2
= 7
A2 = (h*b)/2
= (2*2) /2
= 2
Ablue = A1 - A2
= 7 - 2
= 5
One of the following is a regression example for which Entity and Time Fixed Effects could be used: ________
a. minimum wages on teenage employment using annual data from the 48 contiguous states in 2006.
b. various performance statistics on the (log of) salaries of baseball pitchers in the American League and the National League in 2005 and 2006.
c. inflation and inflationary expectations on unemployment rates in the United States, using quarterly data from 1960-2006.
d. drinking alcohol on the GPA of 150 students at your university, controlling for incoming SAT scores.
Answer:
b
Step-by-step explanation:
The regression which comprises of both entity & time effect can be expressed as;
[tex]Y_{it} = B_1X_{it} + \alpha_i + \lambda_i + \mu_{it}[/tex]
Where;
take charge of the state-explicit qualities that don't change over the long run
controls the variables that differ after some time yet not across substances,
[tex]u_{it}[/tex] controls state-specific qualities which shift after some time.
Thus, from the options given above:
The first option lacks or does not involve the time effect as we are only looking for a particular year.
The second option comprises only 2 years of data which implies that we have a time effect involved. In addition to that, there exist a few variables in executing measurements that join fixed effects. In this case, we can utilize regression with time and fixed effect.
(c) The information here is quarterly over an extended period of time. Hence, it would prefer a period arrangement information than a fixed and time impact information. Thus, this is incorrect.
(d) Since no time variable is associated, we reject the option.
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
Part three of me suffering because of my math homework. ( last part)
Answer:
3 sides
180 degrees
Yes
False
60 degrees
Extending to the side or moving to the side
Rhombus, Square, Rectangle
Acute
Sides
Angles
Can someone help meeee plz and no link plz is due in 9 minutes
Answer:
A (4,3)
Step-by-step explanation:
J is inside the parallelogram.
K is indside a trapezium.
So we want to find the coordinates of point J.
Reading from the scales, point J is x = 4 and y = 3.
Writing our answer in the form (x, y) coordinates of J are: (4,3)
Please help me i cannot understand these Questions
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x /6
2x+10-2x+7+3x /6
17+3x/6
I dunno this task above, I hope this one is correct :))
A is the point (2, 3) and B is the point (7,-5).
Find the co-ordinates of the midpoint of AB.
Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.
Given points,
(2 , 3) and (7 , -5)We have :
x₁ = 2x₂ = 7y₁ = 3y₂ = -5[tex] \red\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]Now, refer to the attachment.
Learn more from brainly :
https://brainly.com/question/23658067https://brainly.com/question/27354466https://brainly.com/question/27354479https://brainly.com/question/27354524https://brainly.com/question/27354542Solve the difference of 9x and 8x is 107
Answer:
x = 107
Step-by-step explanation:
If x = 107,
(9 x 107) - (8 x 107) = 107
Then x must be 107.
Of the 16 children in the park, seven-eighths are wearing a red shirt. How many children in the park are wearing a red shirt?
Answer:
14 children are wearing a red shirt in the park.
Step-by-step explanation:
The fraction 7/8 is 7 out of 8 but your total kids is 16 so we can go ahead and multiply by 2.
(7*2)/(8*2)
14/16
So now it's 14 out of 16 kids which is the total you have.
Conclusion: 14 Children are wearing a red shirt in the park.
A researcher is interested in estimating the mean weight of a semi tracker tractor truck to determine the potential load capacity. She takes a random sample of 17 trucks and computes a sample mean of 20,000 pounds with sample standard deviation of 1,500. The 95% confidence interval for the population mean weight of a semi tracker tractor truck is ______________.
Answer:
(19228.737 ; 20771.263)
Step-by-step explanation:
Given that:
Sample size, n = 17
Sample mean, m = 20,000
Sample standard deviation, s = 1500
α = 95%
The confidence interval,
Mean ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Tcritical at α = 0.05 ; df = n-1 = 17 - 1 = 16 ; 2 - tailed test = 2.120
Margin of Error = 2.120 * 1500/sqrt(17) = 771.263
Lower boundary :
20,000 - 771.263 = 19228.737
Upper boundary :
20,000 + 771.263 = 20771.263
Confidence interval :
(19228.737 ; 20771.263)
Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two in terms of maximum load capacity in tons (the maximum weight that can be tolerated without breaking). It is known that the two standard deviations in load capacity are equal at 5 tons each. An experiment is conducted in which 30 specimens of each alloy (A and B) are tested and the results recorded as follows:
x¯A = 49.5, x¯B = 45.5, x¯A − x¯B = 4
The manufacturers of alloy A are convinced that this evidence shows conclusively that muA & muB and strongly supports the claim that their alloy is superior. Manufacturers of alloy BB claim that the experiment could easily have given x¯A − x¯B = 4 even if the two population means are equal. In other words, "the results are inconclusive!"
(a) Make an argument that manufacturers of alloy B are wrong. Do it by computing
P(x¯A − x¯B > 4 | muA - muB
(b) Do you think these data strongly support alloy A?
Answer:
Step-by-step explanation:
From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:
Alloy A Alloy B
Sample mean [tex]\bar {x} _A = 49.5[/tex] [tex]\bar {x} _B = 45.5[/tex]
Equal standard deviation [tex]\sigma_A = 5[/tex] [tex]\sigma_B= 5[/tex]
Sample size [tex]n_A = 30[/tex] [tex]n_{B}= 30[/tex]
Mean of the sampling distribution is :
[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]
Standard deviation of sampling distribution:
[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]
Hypothesis testing.
Null hypothesis: [tex]H_o: \mu_A -\mu_B = 0[/tex]
Alternative hypothesis: [tex]H_A:\mu_A -\mu_B > 4[/tex]
The required probability is:
[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]
This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.
b)
Since the P-value is very small which is lower than any level of significance.
Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.
At a food truck, 1/8 of a whole pizza costs $2. In an hour, 6 ¼ pizzas were sold. How much money was made at the food booth in that hour?
9514 1404 393
Answer:
$100
Step-by-step explanation:
We assume you're interested in the revenue collected by the food truck.
6 1/4 pizzas = (6·4+1)/4 = 25/4 = 50/8 pizzas = 50×(1/8 pizza)
If each 1/8 pizza slice is sold for $2, then the revenue is ...
50 × $2 = $100 . . . . revenue from 6 1/4 pizzas
help me with this plzzz
Answer:
b is the answer
Step-by-step explanation:
if you look at the graph chart you will notice that b lines up with negative 4 and positive 2
PLS HELP- IM GONNA CRY!!!!!! 30 Points!!!
f(x) = x^2 - 6x + 8 and g(x) = x - 2 , solve for f(x) = g(x) USING A TABLE OF VALUES. Show your work please:)))))) THANK YOU
Answer:
x^2 - 6x + 8 x - 2
x
0 8 -2
1 3 -1
2 0 0
3 -1 1
4 0 2
5 3 3
The solutions are in red ⇒ x = 2 and x = 5
what is 2/5 * 2 3/4 equal to
Answer:
1 1/10
Step-by-step explanation:
Hope this helps
Happy Easter!
May the Lord bless you
Have a nice day!
:)
Let 2_3/4 be 11/4.
We now have 2/5 * 11/4.
(numerator times numerator)/(denominator times denominator).
(2 * 11)/(5 * 4)
22/20
We can now reduce this fraction to the lowest terms.
The greatest factor of 22 and 20 is 2.
22 divided by 2 = 11.
20 divided by 2 = 10.
Answer: 11/10
Solve the system of equations - 6x + 8y = –10 and - 4x + y = –11 by
combining the equations.
You randomly draw twice from this deck of cards
What is the probability of drawing a 3, then drawing an even number without replacing the first card?
Answer:
probability: 1/10 or 10%
Complete the equation of the line through (1,4) and (2,2)
Use exact numbers.
y=?
Step-by-step explanation:
slope = 2-4/2-1 = -2
y - 2 = -2(x - 2)
y-2 = -2x +4
y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
(y-4)/(2-4) = (x-1)/(2-1)
(y-4)/(-2) = x-1
y-4 = -2x +2
y = -2x + 6
A class photo is being taken of six students, sitting in a row. Three of the students are Jamie, Marshall, and Susan, and Jamie wants to sit between Marshall and Susan. (This also means that Jamie is next to both Marshall and Susan.) How many arrangements are possible?
Answer:
2 different arrangments
Hi please help me with this asap.
Answer:
Step-by-step explanation:
Top question
150000-(150000*.15Take 150000*.15 and get 22500, Then 150000-22500=127500
Question two
A- 3000Take 1/3*9000=3000
B-60009000-(9000*1/3)
There are 4 green marbles, 3 red marbles, and 7 yellow marbles in a bag. What is the probability of drawing 1st a green and 2nd a green marbles with replacement.
Answer:
4/14 x 4/14 x 4/14 x 4/14 = 256/38416
Step-by-step explanation:
There are 4 green marbles
3 red marbles
7 yellow marbles
Altogether = 4 + 3 + 7 = 14
Probability of picking a green marble 1st = 4/14
Probability of picking a green marble 2nd = 4/14
and you still have 2 more green marbles in the bag, so it will look like this:
4/14 x 4/14 x 4/14 x 4/14 = 256/38416
Measuring the height of a tree is usually more difficult than measuring the diameter of the tree. Therefore, many researchers use regression models to predict the height of a tree from its diameter measured at 4 feet 6 inches from the ground. The following computer output shows the results of a linear regression based on the heights, in feet, and the diameters in inches, recorded from 31 felled trees.
Estimate Std Error t-value Pr(>|t|)
Intercept 62.031 4.383 14.15 0.0000
Diameter 1.054 0.322 0.0028 3.27
Which of the following is a 95 percent confidence interval for the slope of the population regression line?
(A) (0.001.2.107).
(B) (0.396, 1.712.
(C) (0.423,1.685).
(D) (0.732. 1.376).
(E) (53.07.70.99).
Answer:
(B) (0.396, 1.712)
Step-by-step explanation:
From the information given;
Confidence Interval = 0.95
Significance Level [tex]= 1 - 0.95 = 0.05[/tex]
The confidence interval for regression coefficient beta (whereby in this case it is the coefficient of the diameter) is expressed by:
= [tex]( Beta ^- \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ), Beta^+ \ t_{n-2}, \alpha/2 ( S.E \ of \ \^ \ \ ))[/tex]
From the regression coefficient, the estimated value of beta^ = 1.054
[tex]= (1.054 - t_{29,0.025} *(0.322), 1.054 + t_{29,0.025}*(0.322))[/tex]
[tex]t_{229,0.025} = 2.0452\\\\ = \mathbf{(0.396, 1.712)}[/tex]
Which equation best describes the graph?
8
2
-8
-6
-4
-2
2
2
8
-2
4
-6
-8
С
A y = 2x + 4
y = -2x +
Dy=-3x+4
B
y = 3x + 4
Answer:
b i think
Step-by-step explanation:
Answer:
b...................
During an economic downturn, 11 companies were sampled and asked whether they were planning to increase their workforce. Only 2 of the 11 companies were planning to increase their workforce. Use the small-sample method to construct an 80% confidence interval for the proportion of companies that are planning to increase their workforce. Round the answers to at least three decimal places.
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is _______ < p< ________
Answer:
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Only 2 of the 11 companies were planning to increase their workforce
This means that [tex]n = 11, \pi = \frac{2}{11} = 0.182[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 - 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.033[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.182 + 1.28\sqrt{\frac{0.182*0.818}{11}} = 0.331[/tex]
An 80% confidence interval for the proportion of companies that are planning to increase their workforce is 0.033 < p < 0.331.
Find the volume of the cone. Round your answer to the nearest tenth
height is 22 meters and the radius is 11 meters
2787.64 is the volume..
Find the perimeter of the figure to the nearest hundredth.
6 cm
10 cm
8 cm
12 cm
Answer:
36 cm
Step-by-step explanation:
Perimeter = sum of lenght of all sides
Perimeter = 6 + 10 + 8 + 12
Perimeter = 36 cm