Answer:
Below
Step-by-step explanation:
The factors of 10 are 1, 2, 5, 10.
The factors of 25 are 1, 5, and 25.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 50: 1, 2, 5, 10, 25, 50.
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, and 100.
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?
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
Someone please help.
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
Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?
Answer:
The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX
Step-by-step explanation:
hope it helps
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.
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
simplify the expression
7y − (6)2y − 12
Answer:
-5y-12
Step-by-step explanation:
Multiply 6 into 2y
7y-12y-12
-5y-12
On a piece of paper, graph f(x)=16x0.5^x. Then determine which answer choice matches the graph you drew.
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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.
What is 39% of 921?
Btw good morning to everybody!
Answer:
359.19 And good morning to you
Step-by-step explanation:
Answer:
359.19 is the 39% of 921
good afternoon to you
Help!!!
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.
Answer:
Step-by-step explanation:
floor = 12*10 = 120 sq ft
rug = π[tex]r^{2}[/tex] = 9π
120-9π = 91.74 sq ft
The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²
What is Area?Area is the space occupied by a 2 dimensional figure.
The room is rectangular and its 12 ft by 10 ft. Therefore,
area of the room = lw
where
l = length
w = width
area of the room = 12 × 10 = 120 ft²
The rug is circular and its use to cover the room. Therefore,
area of rug = πr²
where
r = 3 ft
Therefore,
area of rug = 3.14 × 3² = 28.26 ft²
The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:
area uncovered = 120 - 28.6 = 91.74 ft²learn more on area here; https://brainly.com/question/1389611
nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.
Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.
Step-by-step explanation:
If you answer this you will get 100 points pls answer hurry it’s due in 20 mins
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.
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?
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.
HELPP what is the area of this cylinder
Answer:
1,884
Step-by-step explanation:
The formula for solving the area of a right cylinder like this one is:
=2πrh+2πr2
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
How would I figure this out?
Answer:
y = 23
x ≈ 13
Step-by-step explanation:
3y + (y+88) = 180
Solve for y
y =23
6x + 35 = y + 88
substitute y = 23
6x + 35 = 23 + 88
Solve for x
x ≈ 13
Which table represents a nonlinear function? ASAP
Answer:
The second table, the table in the middle.
Step-by-step explanation:
Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.
The sum of four consecutive integers is -62. What is
the least of the four integers?
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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.
A bicycle has a listed price of 593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
the answer is in
Step-by-step explanation:
HELLLLLLLPPPPPPPPPPPP
Answer:
250
5:15
true
i already helped you
Answer:
9- 4 hours 30 minutes
10- 250
11- False
Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.
Answer:
Step-by-step explanation:
The second one I believe.
HELP PLEASE!!!!!
options
A) AAS
B) ASA
C) HL
D) SAS
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)
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
Identify horizontal or vertical compression stretch of the function g(x) = 6x
Answer:
dhjfydhftb7cuvdihcdjxuihy
Can someone answer this please
Answer:
good luck man
Step-by-step explanation:
you will get answers after some time
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
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
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]
What is the solution to the equation?
^5 / x+7= -2 (A.) -39 (B.) -17 (C.) 25 (D.) no solution
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-39}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt[5]{x + 7} = - 2[/tex]
➺[tex] \: x + 7 =( { - 2})^{5} [/tex]
➺[tex] \: x + 7 = ( - 2 \times - 2 \times - 2 \times - 2 \times - 2)[/tex]
➺[tex] \: x + 7 = - 32[/tex]
➺[tex] \: x = - 32 - 7[/tex]
➺[tex] \: x = - 39[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \sqrt[5]{x + 7} = - 2 \\\\ ➼ \: \sqrt[5]{ - 39 + 7} = - 2 \\ \\➼ \: \sqrt[5]{ - 32} = - 2 \\\\ ➼ \: \sqrt[5]{ - 2 \times - 2 \times - 2 \times - 2 \times - 2} = - 2\\ \\ ➼ \: \sqrt[5]{( { - 2})^{5} } = - 2\\ \\ ➼ \: - 2 = - 2 \\\\ ➼ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning. }}{\orange{❦}}}}}[/tex]
The solution of the given equation would be; x = -39.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
WE have been given an equation as,
[tex]\sqrt[5]{x+7} = -2[/tex]
WE need to find the solution of the given equation which can be calculated as;
[tex]\sqrt[5]{x+7} = -2[/tex]
First raise both sides to the power 5;
[tex](\sqrt[5]{x+7} )^5= -2^5[/tex]
Now x + 7 = - 32
subtract 7 from both sides, we get;
x = - 39
Hence, the solution of the given equation would be; x = -39.
Learn more about solving equations here:
https://brainly.com/question/13072448
#SPJ2
HELP !!!!
A circular pizza has been cut into five equal size pieces … how many degrees is the angle from one piece?
Answer:
72°
Step-by-step explanation:
360/5 = 72
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)
help me pls pls pls plsss
Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20
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Answer:
see below
Step-by-step explanation:
A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.
Of the tables shown here, this is the case only for the one shown below. It has ...
y = 1.4x
Answer:
The middle one
Step-by-step explanation:
The middle one
y = (7/5)x
x y
5 7
20 28
60 84
