if x varies directly as y,write a formula connecting x and y y.use k as a constant of variaton.
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be confident that its estimate is within of
Answer: the minimum sample size needed = 145
Step-by-step explanation:
Formula for sample size:
[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]
, where z* = Critical z-value
Given: Standard deviation = 2.15
Margin of error = 0.35
Z* for 95% confidence = 1.96
Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]
[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]
Hence, the minimum sample size needed = 145
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.
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.
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.
Pls help school is almost over
Answer:
correct answer is c
Step-by-step explanation:
2.44x10^-3
Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.
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:
HELLLLLLLPPPPPPPPPPPP
Answer:
250
5:15
true
i already helped you
Answer:
9- 4 hours 30 minutes
10- 250
11- False
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
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:
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
How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.
No solution
One solution
Two solutions
Infinitely many solutions
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.If terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.How many sweets does Terry have?
Answer:
Terry has 1500 sweets.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of sweets Terry has.
y is the number of sweets Alex has.
If Terry gives 30% of his sweets to Alex,they will have the same number of sweets.
This means that:
[tex](1 - 0.3)x = y + 0.3x[/tex]
[tex]0.7x = y + 0.3x[/tex]
[tex]y = 0.4x[/tex]
If Terry gives 750 of his sweets to Alex,then Alex will have 80% more sweets than Terry.
This means that:
[tex]y + 750 = 1.8(x-750)[/tex]
We want to find x, and since [tex]y = 0.4x[/tex]
[tex]y + 750 = 1.8x - 1350[/tex]
[tex]0.4x + 750 = 1.8x - 1350[/tex]
[tex]1.4x = 2100[/tex]
[tex]x = \frac{2100}{1.4}[/tex]
[tex]x = 1500[/tex]
Terry has 1500 sweets.
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
Find the value of x
(it needs to be 20 characters so don’t mind the extra ness ………..)
Choose the equation for the line that passes through (6, 5) and is parallel to the line x + 3y = 9.
Answer:
y = -1/3x + 7
Step-by-step explanation:
x + 3y = 9 ⇒ y = -1/3x + 3
Use point-slope form and substitute the values:
[tex]y-y_1=m(x-x_1)\\y-5=-\frac{1}{3}(x-6)\\y-5=-\frac{1}{3}x+2\\y=-\frac{1}{3}x+7[/tex]
Given that ZABC = ZDBE, which statement must be
true?
ZABC - ZABD
ZABD Z CBE
Z CBD , ZDBE
Z CBD - ZABC
Answer:
B abd = cbe
Step-by-step explanation:
ABC = DBE
so
ABC + CBD = DBE + CBD
The statement which is true is ZABC - ZABD, the correct option is A.
What is a solution to a system of equations? (SOLUTION GRAPHICALLY)
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
We are given that;
Angle ABC = Angle DBE
Now,
A flowchart proof is a formal proof that is set up with boxes that flow from one to the next with arrows1. The statements, which are true facts that we know, are placed in the boxes, with the reason we know them on a line underneath2. We can prove theorems are true using flowchart proofs.
To justify each step in the flowchart proof, we have to provide a reason for each statement based on definitions, postulates, properties or previously proven theorems. Here is how we can fill in the blanks:
A: Given B: Definition of angle bisector C: Definition of congruent angles
Therefore, graphically the answer will be ZABC - ZABD.
Learn more about finding the solution graphically here:
https://brainly.com/question/26254258
#SPJ7
Pleaseee helpppp!!! 20 points
Answer:
The correct option is (A).
Step-by-step explanation:
The given expression is :
[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]
The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².
We can write it as :
[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]
Canceling the common terms,
[tex]=\dfrac{2y^4}{x^4}[/tex]
So, the correct option is (A).
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
9514 1404 393
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
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
Kevin was asked to determine the length of side XZ. His work is shown.
Which error did Kevin make?
Answer:
A.// He has the side lengths in the wrong place in the cosine ratio.
Step-by-step explanation:
someone help please I'm stuck and frustrated,?????
Answer:
The area of the circle in terms of π is:
9/64 π in^2Step-by-step explanation:
To find the area of that circle, you can use the equation:
Area of a circle = [tex]\pi * \frac{D^{2}}{4}[/tex]Where:
D = Diameter (3/4 in)Now, we can replace the given measurement in the equation:
Area of a circle = [tex]\pi * \frac{(\frac{3}{4}in) ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{\frac{9}{16}in ^{2}}{4}[/tex]Area of a circle = [tex]\pi * \frac{9}{64} in^{2}[/tex]That result is the same that to write:
Area of a circle = [tex]\frac{9}{64}\pi in^{2}[/tex]By this reason, the result is 9/64 π in^2, giving the result in terms of π.
If can someone help me.
9514 1404 393
Answer:
Tim is correct. 5/8 > 1/2
Step-by-step explanation:
By taking 5/8 of the lasagna, Tim will be taking more than half (4/8) of it. No remaining share can be larger. Any remaining share will be 3/8 or less, so will be smaller than a 5/8 share.
Tim's 5/8 share is the largest.
What is the quotient when (-12x9 + 3x7 + 24x6) is divided by 6x?
find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation. if y varies directly as X and Z, and t=8/3 when x=1 and z=4, find y when x=6 and z=3
Answer:
The Question isn't clear
Step-by-step explanation:
Answer:
can someone please answer this question correctly for me. i need it asap
Step-by-step explanation:
3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK
Answer:
Equation: 4x + 30 + 2x + 6 = 180
Answer: x = 24
Step-by-step explanation:
The sum of the measures of supplementary angles is 180 deg.
Equation:
4x + 30 + 2x + 6 = 180
Solution:
4x + 30 + 2x + 6 = 180
Add like terms on the left side.
6x + 36 = 180
Subtract 36 from both sides.
6x = 144
x = 24
Answer:
X=24
Step-by-step explanation:
Supplementary angles = 180°
4x+30+2x+6=180
Combine like terms> 4x+2x=6x
Add: 30+6=36
6x+36=180.
Subtract 36 on both sides. > 36-36=0. 180-36=144.
Drop what you have left> 6x 144
Divide by 6. > 6/6= 1. 144/6=24.
X=24
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
What is the solution to
3x*2-2x+4=0
Answer:
Step-by-step explanation:
[tex]3x^2 - 2x + 4 = 0[/tex]
a = 3, b = -2, c = 4
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{2 \pm \sqrt{2^2 - (4 \times3 \times 4} )}{2 \times 3}\\\\x = \frac{2 \pm \sqrt{4 - 48} }{6}\\\\x = \frac{2 \pm \sqrt{-44} }{6}\\\\x =\frac{2 \pm 2i \sqrt{11} }{6}\\\\x =\frac{1 + i \sqrt{11} }{3}\ , x =\frac{1 - i \sqrt{11} }{3}\\\\\\\\[/tex]
Express it in slop-intercept form
Answer:
y = ½x -3
Step-by-step explanation:
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