Answers
Answer:
See image below:)
Step-by-step explanation:
Related Questions
A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?
Answers
Answer:
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
Step-by-step explanation:
Manufacturing process under control must produce items that follow a normal distribution.
Manufacturer information:
μ = 51 months mean lifetime
σ = 7 months standard deviation
Sample Information:
x = 51 months
n = 60
Confidence Interval = 90 %
Then significance level α = 10 % α = 0.1 α/2 = 0,05
Since it is a manufacturing process the distribution is a normal distribution, and with n = 60 we should use a Z test on two tails.
Then from z- table z(c) for α = 0,05 is z(c) = 1.64
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x ≠ μ
To calculate z statistics z(s)
z(s) = ( x - μ ) / σ /√n
z(s) = ( 53 - 51 ) / 7 /√60
z(s) = 2 * 7.746 / 7
z(s) = 2.213
Comparing z(s) and z(c)
z(s) > z(c) then z(s) is in the rejection region
We reject H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month
If 80 persons can perform a piece of work in 16 days of 10 hours each, how
many men will perform a piece of work twice as great in tenth part of the time
working 8 hours a day supposing that three of the second set can do as much
work as four of the first set?
Answers
Answer:
The number of men needed to perform a piece of work twice as great in tenth part of the time working 8 hours a day supposing that three of the second set can do as much work as four of the first set is:
1200 men.Step-by-step explanation:
To find the answer, first, we're gonna find how many hours take to make the piece of work in 16 days, taking into account each day just has 10 hours:
Number of hours to make a piece of work = 16 * 10 hoursNumber of hours to make a piece of work = 160 hours.Now, we divide the total hours among the number of persons:
Equivalence of hours per person = 160 hours / 80 persons.Equivalence of hours per person = 2 hours /personThis equivalence isn't the real work of each person, we only need this value to make the next calculations. Now, we have a piece of work twice as great as the first, then, we can calculate the hours the piece of work needs to perform it (twice!):
Number of hours to make the second piece of work = 160 hours * 2Number of hours to make the second piece of work = 320 hoursWe need to make this work in tenth part of the time working 8 hours a day, it means:
Time used to the second work = 320 hours / 10Time used to the second work = 32 hours Time used to the second work = 32 hours / 8 hours (as each day has 8 hours)Time used to the second work = 4 daysNow, we know three of the second set can do as much work as four of the first set, taking into account the calculated equivalence, we have:
Work of four workers of first set = Work of three workers of second setWork of four workers of first set = Equivalence * 4 persons.Work of four workers of first set = 2 hours /person * 4 personsWork of four workers of first set = 8 hours.So, three persons of the second set can make a equivalence of 8 hours. At last, we calculate all the number of workers we need in a regular time:
Number of needed workers in a regular time = (320 hours / 8 hours) * 3 persons.Number of needed workers in a regular time = 40 * 3 personsNumber of needed workers in a regular time = 120 personsRemember we need to perform the job not in a regular time, we need to perform it in tenth part of the time, by this reason, we need 10 times the number of people:
Number of needed workers in tenth part of the time = 120 persons * 10Number of needed workers in tenth part of the time = 1200 personsWith this calculations, you can find the number of men needed to perform a piece of work twice as great in tenth part of the time working 8 hours a day supposing that three of the second set can do as much work as four of the first set is 1200 persons.
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answers
Answer: Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.
Step-by-step explanation:
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth
How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!
Answers
Answer:
You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.
Thus, as a first step, the problem that is taking place, and the severity of it, must be identified. Then, proposals for solving the problem must be prepared, considering the pros and cons of each one, as well as their eventual cost. Subsequently, a main option and a plan B must be chosen with which to solve the question. Finally, the resolution plan must be executed.Learn more in https://brainly.com/question/7208889
Identify horizontal or vertical compression stretch of the function g(x) = 6x
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Answer:
dhjfydhftb7cuvdihcdjxuihy
HELLLLLLLPPPPPPPPPPPP
Answers
Answer:
250
5:15
true
i already helped you
Answer:
9- 4 hours 30 minutes
10- 250
11- False
Someone please help.
Answers
Answer:
Slope = -17
Step-by-step explanation:
We are given the equation of the line to be:
y = -17x + 47/3 which is in the slope-intercept form.
Recall: equation of a line in slope-intercept form takes the following format:
y = mx + b
Where,
m = slope of the line
b = y-intercept of the line
Thus, the slope of the line (m), y = -17x + 47/3 would be -17
A box with a square base and open top must have a volume of 97556 c m 3 cm3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x x .] Simplify your formula as much as possible.
Answers
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
which statement is true?
Answers
A rectangle is 9 inches long and 3x inches wide. The value of the perimeter (in inches) is equal to the value of the area (in square inches).
Find x
Answers
Answer:
3
Step-by-step explanation:
The perimeter of the rectangle is equal to the doubled sum of the sides, and the area is equal to the product of the sides. So we have the following equation
LCM of the given set of counting numbers 45,20,10
Answers
Class 5A can complete a project in 15 days while class 5B needs twice that amount of time. To complete this project before the summer festival, both class 5A and class 5B need to work together. Due to other tasks, class 5A has to leave for 3 days while class 5B has to leave for 6 days. Knowing that both classes do not leave at the same time, and they do work together on some days, what is the total number of days taken to complete this project?
Answers
Answer:
it takne 23 days to complete it I hope it is clear add all the no
help me pls pls pls plsss
Answers
B) angle DEB is a obtuse angle
C) mEM is a striagle angle
D) yBE is angle of vertex B
E) M is angle
G) MEx and xEW are adjacent angles
H) EBy and yBx are supplementary angles
The sum of four consecutive integers is -62. What is
the least of the four integers?
Answers
9514 1404 393
Answer:
-17
Step-by-step explanation:
Let x represent the smallest of the integers. Then their sum is ...
x +(x+1) +(x+2) +(x+3) = -62
4x +6 = -62 . . . . . . . . . . . . . . . collect terms
4x = -68 . . . . . . . . . .subtract 6
x = -17 . . . . . . . divide by 4
The least of the four is -17.
On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
You can use x=0 and x=1 to find points that must be on the graph.
f(0) = 16·0.5^0 = 16
f(1) = 16·0.5^1 = 8
Only graph A matches these points.
The sum of the numbers x, y, and z is 50. The ratio of x to y is 1 : 4, and the ratio of y to z is 4 : 5. What is the value of y?
A. 4
B. 8
C. 10
D. 20
Answers
Answer:
x：y：z
1：4
4：5
-------------
1：4：5
-------------
let a:b:c＝k:4k:5k
k+4k+5k=50
10k=50
k=5
y=4(5)
=20(D)
Answer:
D. 20
Step-by-step explanation:
x:y:z
1:4:5
1+4+5=10
50÷10=5
1=5
4=?
4=4×5
=20
For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms.
x2 + y2 = 49
Note: Each column in the table represents an ordered pair. If multiple solutions exist, you only need to identify one.
Table:
X 0 [ ] 16 9 [ ]
Y [ ] √2 [ ] [ ] -√5
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to x^2+y^2=49[/tex]
When
[tex]x=0\\\\0^2+y^2=49\\\\y^2=49\\\\y= \pm 7[/tex]
So, order pass [tex](0,\pm 7)[/tex]
Similarly When
[tex]y=0\\\\x^2+0^2=49\\\\x^2=49\\\\x= \pm 7[/tex]
So, order pass [tex](\pm 7,0)[/tex]
[tex]x \ \ \ \ \ \ \ 7 \ \ \ \ \ \ \ -7\ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 0 \\\\y \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 0 \ \ \ \ \ \ \ 7 \ \ \ \ \ \ \ -7 \\\\[/tex]
Help!!!! 20 points!!!!!!’
Answers
Answer:
option c is the correct answer
first take y raised to the power 4 common then cancel its power by y raised to the power 3
you get your answer
Can someone answer this please
Answers
Answer:
good luck man
Step-by-step explanation:
you will get answers after some time
If PO and RS intersect to form four right angles, which statement is true?
O A. POIRS
O B. PO - RS
O C. PO and RS are parallel
O D. PO and RS are skew
PEASE HELP
Answers
Answer
its A
Step-by-step explanation:
The length of PQ is perpendicular to RS. The correct option is A.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.
Given that the PO and RS intersect to form four right angles. If PO and RS intersect to form four right angles, the side PQ should be perpendicular to the side RS.
To know more about geometry follow
https://brainly.com/question/1202004
#SPJ2
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answers
Answer:
72°
Step-by-step explanation:
360/5 = 72
the data below shows the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.
51, 64, 71, 56, 53, 68, 53, 49, 70, 33
64, 53, 79, 65, 55, 46, 80, 76, 73, 74
a. Draw an ordered stem and leaf plot for the data.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
The oederd data :
33, 46, 49, 51, 53, 53, 53, 55, 56, 64, 64, 65, 68, 70, 71, 73, 74, 76, 79, 80
Stem Leaf
3 | 3
4 | 6 9
5 | 1 3 3 3 5 6
6 | 4 4 5 8
7 | 0 1 3 4 6 9
8 | 0
Key :
3 | 3 = 33
A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?
ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x
Answers
========================================================
Explanation:
Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.
You can think of it like
price = constant + (mileage coefficient)*(mileage)
The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.
[100 point question answer asap]find the areas of the trapezoids
Answers
Answer:
7.5
Step-by-step explanation:
You have two triangles with areas of 1.5 and 3 as well as a rectangle with an area of 3
Answer:
Area = 7.5
Step-by-step explanation:
Use this formula to find the area of a trapezoid A = [tex]\frac{a + b}{2} h[/tex]
Plug numbers in[tex]\frac{1 + 4}{2}*3[/tex]Area is = to 7.5
Simplify by combining like terms. − 5 p + 4 m − 2 p + m
Answers
Answer:
-7p +5m
Step-by-step explanation:
− 5 p + 4 m − 2 p + m
Combine like terms
-5p -2p +4m +m
-7p +5m
Answer:
-7p+5m
Step-by-step explanation:
See image below:) :)
If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
Answers
Answer:
Option B, medianStep-by-step explanation:
We see the data is not uniform. One of the prices is very high compared to the others. Since there is an outlier, the median is the best measure of central tendency.
This is the second option.
WILL GIVE BRAINLIEST (Right angle) Trigonometry
please help!
Answers
Answer:
<A = 41.4°
Step-by-step explanation:
Recall, SOH CAH TOA
Reference angle = <A
Hypotenuse length = 8
Adjacent length = 6
Since Hypotenuse and Adjacent are involved, we would apply CAH, which is:
Cos A = Adj/Hyp
Plug in the values
Cos A = 6/8
Cos A = 0.75
[tex] A = Cos^{-1}(0.75) [/tex]
A = 41.4096221° ≈ 41.4° (nearest tenth)
Flora is baking a pie and a cake for her restaurant. She needs 1/6 cup flour for the pie crust and 3/5 cup flour for the cake's frosting. How much flour will she use to make both?
(Type a whole number, fraction, or mixed number)
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Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
Answers
180-46-74= 60
180-60= 120
simplify the expression
7y − (6)2y − 12
Answers
Answer:
-5y-12
Step-by-step explanation:
Multiply 6 into 2y
7y-12y-12
-5y-12
