Answer:
the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
Step-by-step explanation:
Given the data in the question;
we know that a type 11 error occur when a null hypothesis is false and we fail to reject it.
as in it in the question;
obtained mean is 9.8 which is obviously not equal to 8.3
But still we fail to reject the null hypothesis says mean is 8.3
Hence we have to find the probability of type 11 error
given that; it is right tailed and o.5, it corresponds to 1.645
so
z is equal to 1.645
z = (x-μ)/[tex]\frac{S}{\sqrt{n} }[/tex]
where our standard deviation s = 3.8
sample size n = 50
mean μ = 8.3
we substitute
1.645 = (x - 8.3)/[tex]\frac{3.8}{\sqrt{50} }[/tex]
1.645 = (x - 8.3) / 0.5374
0.884023 = x - 8.3
x = 0.884023 + 8.3
x = 9.18402
so, by general rule we will fail to reject the null hypothesis when we will get the z value less than 1.645
As we reject the null hypothesis for right tailed test when the obtained test statistics is greater than the critical value
so, we will fail to reject the null hypothesis as long as we get the sample mean less than 9.18402
Now, for mean 9.8 and standard deviation 3.8 and sample size 50
Z = (9.18402 - 9.8)/[tex]\frac{3.8}{\sqrt{50} }[/tex]
Z = -0.61598 / 0.5374
Z = - 1.1462 ≈ - 1.15
from the z-score table;
P(z<-1.15) = 0.1251
Therefore, the probability of a Type II error if in fact the mean waiting time u, is 9.8 minutes is 0.1251
Option A) is the correct answer.
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
King raised $28, which is 35% of their goal.
What is the band's goal?
Answer:
(1 - .35) x $28 = $18.20
the line for the equation y = 1 horizontal or vertical? What is the slope of this line?
Answer:
The line is horizontal and the slope is 0.
Step-by-step explanation:
Any line that is horizontal has a slope of 0.
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
What is the value of x?
Answer:
x=2
Step-by-step explanation:
so u have 7 as the whole length.
and 5 of the 7 is filled
so u do this 7-5=2
Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters
Answer:
x*2=y+x= both
Step-by-step explanation:
y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.
Example: maria is 16
16*2=32+16=48
so the sum of both of their ages is 48 (JUST AN EXAMPLE)
What is the area of a circle that has a radius of 5 meters
Answer:
Step-by-step explanation:
area of circle = pi* r^2
Area = (3.14)*(5)^2
area= 78.5 m^2
Step-by-step answer:
The formula for the area of a circle is pi•r², so substitute 5 in for r.
pi•5²
Now, simplify the equation. Use PEMDAS.
There are no Parentheses, so we move on to Exponents.
pi•25
Now, we move to Multiplication.
P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.
78.53981634
Plzzzzz give me Brainliest!!!!!
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
You have a gross annual income of $175,000 and have been pre-approved for a 30-year mortgage loan at 3.375% as long as the back-end ratio does not exceed 36%. The house you want to buy costs $560,000, and you plan to make a down payment of 20%. Your monthly payment would be $1980.59. Your research shows that the semi-annual property taxes for this house are $3,450. You have been given a quote from your insurance company of a $1,290 annual premium. You currently have a $579 monthly car payment and your monthly credit card bills average $2,000
Answer:
Step-by-step explanation:
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
help me with this fast and explain it for brainiest :)
So i think it would be 1/2 (OR .5), or possibly 2 depending on what its asking.
Every number in X can be multiplied by 2 to receive y, or the numbers in y.
The linear equation would be x*2=y, making the linear function 2, UNLESS you want to take Y and DIVIDE it by 2, making it 1/2, linear equasion would be y*.5=x, or y/.5=2 OR y*1/2=x.
Hope this helps, I'm so sorry if its wrong, I'm not too good at linear functions, I'm pretty sure its 1/2.
Beth placed 91 books on a shelf. Twenty-eight of the books were nonfiction,13 of the books were poetry books,and the rest were fiction books. How many books were fiction
Answer:
50 fiction books
Step-by-step explanation:
if there are 91 books, it's simple subtraction. 91-28 is 63. 63 - 13 = 50. 50 fiction books, amiright?
Answer:
50
Step-by-step explanation:
28 Nonfiction + 13 Poetry = 41 books
91 - 41 = 50 Fiction
What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
What is the solution to the equation below? Round your answer to two
decimal places.
-
24x = 127
Answer:
x = 5.29
Step-by-step explanation:
24x = 127
Divide both sides by 24.
x = 127/24
x = 5.29
What is the remainder for 1,259/6?
Answer:
209 R 5
Step-by-step explanation:
Hope this helps
Answer: 209.833333333
Step-by-step explanation:
1259 6 = 209.833333333
209.833333333 = 2098.33333333 to the nearest tenth
209.833333333 = 209.83 to the nearest hundredth
209.833333333 = 209.833 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
1259 divide by half plus 20
HWA: (1259/2) + 20 = 649.5
1259 divide by half plus 40
HWA: 1259/2) + 40 = 669.5
1259/6 divided by 2
Answer: (1259/6) ÷ 2 = 104.916666667
What does (a+b+c)²=?
Answer:
a²+b²+c²+2ab+2bc+2ca
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
Find the value of y when
2x. + 6y = 1
Fast please!!!???
Mojave art club is selling t shirts for a fundraiser. A local company charges $35 to set up the logo and $4.25 per t shirt if x t shirts are printed by the business.
If the art club charged $10 per shirt how many shirts would need to be sold to cover their costs?
function C(x)=35+4.25x/x
Answer:
At least 7 shirts would need to be sold to cover their costs
Step-by-step explanation:
Cost of producing x t-shirts.
The cost of producing x t-shirts is a flat fee of 35 plus 4.25 per t-shirt. So
[tex]C(x) = 35 + 4.25x[/tex]
Earnings of selling x t-shirts:
Charges $10 per t-shirt, so it earns 10 for each t-shirt it sells.
[tex]E(x) = 10x[/tex]
How many shirts would need to be sold to cover their costs?
To cover the costs, we need that the earnings are equal or higher than the costs. So
[tex]E(x) \geq C(x)[/tex]
[tex]10x \geq 35 + 4.25x[/tex]
[tex]5.75x \geq 35[/tex]
[tex]x \geq \frac{35}{5.75}[/tex]
[tex]x \geq 6.09[/tex]
Since we cannot sell a decimal part of a shirt, at least 7 shirts would need to be sold to cover their costs
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
To know more about an approximation follow
https://brainly.com/question/2457740
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PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
Need help!!! Wil mary brainlyest!
Answer:
-17/5/11/10
=-17/5*10/11=-34/11=
[tex]3 \: \div1 \div 11[/tex]
Hope it helps
Answer:
Easy. The answer is -3 1/11
Step-by-step explanation:
-17/5/11/10
-170/55
-3 1/11
Yep me out please where can I found the value of x in the triangle at the right?
Expand. Your answer should be a polynomial in standard form. (d^2+3)(d^2+2d+1)=(d 2 +3)(d 2 +2d+1)=left parenthesis, d, squared, plus, 3, right parenthesis, left parenthesis, d, squared, plus, 2, d, plus, 1, right parenthesis, equals
Answer:
A= d^4-d^2-6
Step-by-step explanation:
I have khan academy and the other answer is wrong
PLLLLLLLSSSS HELP MMEEEEEE 30 pointsssss
The sum of three and four tenths and a number is six and six tenths.
6.6 is in one box. Below it are 2 boxes. N is in one. 3.4 is in the other.
Explain how to use the bar diagram to solve the problem.
Answer:
So you take 3.4 and subtract from 6.6 which equals 3.2. Then if you add 3.4+3.2= 6.6. Hope this helps.
Step-by-step explanation:
Sorry I am late hope this helps
Sample Response:
Sum means the result of adding two numbers. The bar diagram represents that an unknown number and 3.4 together make 6.6. So 3.4 + what number equals 6.6? The result is 3.4 + 3.2 = 6.6. The sum of 3.4 and 3.2 is 6.6.
Jada has read 7/10 of a book. The book has 80 pages. How many more pages does she need to read before she is done with the book?
Answer:
24 More Pages
Step-by-step explanation:
7/10=0.7=70%
70% of 80 = 56
80 - 56 = 24
24 More Pages
Answer: 24 pages
Step-by-step explanation:
7 x
10 80
560=10x
÷10 ÷10
56=x
56 pages already read
80-56=24
24 pages left
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation: