Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:
[tex]H_0: \mu = 28[/tex]
At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:
[tex]H_1: \mu > 28[/tex].
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are given by:
[tex]\overline{x} = 32, \mu = 28, \sigma = 5, n = 10[/tex]
Hence:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}[/tex]
[tex]z = 2.53[/tex]
What is the decision?Considering that we have a right-tailed test, as we are testing if the mean is greater than a value, with a standard significance level of 0.05, the critical value is of [tex]z^\ast = 1.645[/tex].
Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.
To learn more about the z-distribution, you can check https://brainly.com/question/26454209
Find AC. Please help fast
Answer:
Step-by-step explanation:
AB/ED = AC/DF
15/18 = AC/20
5/6 = AC/20
Cross multipy
6AC = 5*20 = 100
so
AC = 100/6 = 16.7
Airlines have increasingly outsourced the maintenance of their planes to other companies. A concern voiced by critics is that the maintenance may be less carefully done so that outsourcing creates a safety hazard. In addition, flight delays are often due to maintenance problems, so one might look at government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline to determine if these concerns are justified. This was done, and data from 2005 and 2006 appeared to justify the concerns of the critics. Do more recent data still support the concerns of the critics? Here are data from 2014:
Alaska 51.051.0 10.3510.35 Jet Blue 68.468.4 19.9319.93
American 29.429.4 20.3220.32 Southwest 58.258.2 28.4728.47
Delta 36.736.7 14.4814.48 United 52.652.6 23.4623.46
Frontier 46.346.3 21.4221.42 US Airways 54.354.3 13.6813.68
Hawaiian 78.478.4 5.065.06
Required:
a. Make a scatterplot with outsourcing percent as xx and delay percent as y.
b. Find the correlation r with and without Hawaiian Airlines.
Answer:
Please check attachment for graph
Step-by-step explanation:
B. With hawaii airline = -0.300
Without hawaii airline = 0.197
With hawaii airline
EX = 475.3
EY = 157.17
XY = 8042.11
X² = 26883.55
Y² = 3159.375
The correlation coefficient
= 72378.99-74702.9/7737.421
= -2323.91/7737.421
= -0.300
Without hawaii airline
EX = 396.9
EY = 152.11
EXY = 7645.406
X² = 20736.99
Y² = 3133.772
= 790.789/4021.161
= 0.197
When solving a quadratic equation, what is the difference between a root and a solution?
A. The solution is expressed as x=a where a is a number. The root is expressed as an ordered pair.
B. For a quadratic equation, the root is the same as the solution.
C.The root is expressed as x=a where a is a number. The solution is expressed as an ordered pair.
D. The root is where the graph of the quadratic equation crosses the x -axis. The solution of the quadratic equation is where the graph crosses the y-axis.
Answer:
B: For quadratic equations, the root is the same as the solution.
Step-by-step explanation:
In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;
x = [-b ± √(b² - 4ac)]/(2a)
Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.
Basically, in quadratic equations, the roots are solutions to the equation.
Answer:
C
Step-by-step explanation:
the lest than and greater than is similar off math
Answer:
?
Step-by-step explanation:
uhhh less than is x < y greater than is x > y
can you please provide more info!
Use the diagram of ABCD to find x.
Answer:
x = 5
Step-by-step explanation:
AB = CD, so x + 2 = 2x - 3
2 + 3 = 2x - x
x = 5
It takes 6 painters 4 half and hour to paint these classroom.
Is this direct or indirect proportion?
Give a reason for your answer
Answer:
Direct proportion
Step-by-step explanation:
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively
What is the answer ?
x/y+17
If is x=12
and y=1/2
Answer:
jhhdh.duuemmeyyeymruur*
Solve for N
8/10 = 4/N
N=
Answer:
N= 5
Step-by-step explanation:
Solve for N by cross multiplying
can I get help with this equation?(2√5-√6)(4√5-3√6)
Answer:
=58 - 10 (lil check thing) 30
Step-by-step explanation:
PLEASE HELP FIND THE AREA!
its pretty easy
Answer:
114 square meters
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
I need help with showing my work on converting 3 7/8
Which formula gives the trade discount when the list price and single discount rate are given?
Question content area bottom
Part 1
A.
list price times single discount rate
B.
net price times single discount rate
C.
base equals portion times rate
D.
trade discount times single discount rate
Answer:
I believe it's
Step-by-step explanation:
A
however I could be wrong
the ratio of prizes to contestants if there are 3 prizes for every 10 contestants
Answer: (3,10)??? this question isn't specific sorry
Step-by-step explanation:
make a number line and mark all the points that represent the following value of x, x<2 or x>-1 Please answer quickly
Answer: See attached image
Step-by-step explanation:
[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]
[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]
See attached merged number line below:
The first number line is of x < 2
The second number line is of interval x > -1
The third number line is the merge of the overlapping intervals
Answer:
its just what the question says
Step-by-step explanation:
Flora's Flower Shop is gearing up for Valentine's Day, which is typically their busiest time of the year. Flora was able to secure 9,000 red roses for the holiday this year. Flora sells red roses for $8 per stem, and bouquets of 12 red roses for $75. The cost per stem for Flora is $3. Typically half of all flowers are sold as individual stems and half as bouquets, however on Valentine's Day the majority of flowers are sold as part of bouquets. Last year Flora made $35,000 over the Valentine's Day holiday, and hopes to make the same profit this year. What is the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000. 42% O 50% 63% 81%
The maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
What is proportion?The proportion shows the ratios of two or more variables.
While the maximum proportion show the highest ratio or percentage of a variable required to equate an expression.
Data and Calculations:Number of red roses procured for sale = 9,000
Selling price per stem = $8
Selling price per bouquet (12 stems) = $75
Cost per stem = $3
Last year's Valentine Day profit = $35,000
Stem Boutique
Selling price $8 $75
Cost per stem 3 36 ($3 x 12)
Contribution margin per unit $5 $39 ($75 - $36)
Contribution margin per stem $5 $3.25 ($39/12)
Weighted contribution margin $22,500 $14,625 ($3.25 x 4,500)
Proportion 42% ($14,625/$35,000 x 100)
Thus, the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
Learn more about proportions and ratios at https://brainly.com/question/12024093
Is this right I just need confirmation pls
Answer:
No
Step-by-step explanation:
The slope is -4/3, so it should start at y=8, then go down 4 and over (to the right) 3 units. So the next point would be (4, 3).
A window has an actual height of 4.5 feet. If a blueprint has a scale of 3 inches = 2 feet, find the height of the window in the blueprint. Select one: 9 inches O 7.5 inches O 9.5 inches O 6.75 inches
2 feet: 3 inches
1 feet: 3/2 inches
4*5 feet: 3x4*5/2
=6.75 Inchea
HELLLPPPP
Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months
Answer:
$ 42.625 is the correct answer .Step-by-step explanation:
principal ( p ) = $3100
Rate ( R ) = 5.5 %
Time ( T ) = 3 months
( convert months into year)
= 3/12 year
Simple Interest ( I ) = ??
By using formula ,
simple Interest ( I) = PTR / 100
=$3100 × 5.5 % × 3/12 ÷ 100
= 3100 × 5.5 × 3 ÷ 100 × 12
= 51150 ÷ 1200
= 42.625
= $ 42.625
Thank you ☺️☺️☺️
Carlos has 2 pieces of buttered toast. He cuts the toast and shares it equally between his 3 friends. What fraction of a piece of toast does each friend receive?
Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast
Hope this helps! c:
In the number 5,366, the 6 in the tens place is what value of the 6 in the one place
Answer:
Check the pic
Step-by-step explanation:
Floria wants to buy a dress that costs $96. She has saved $60 for the dress. What percent of the price of the dress has she saved?
Answer:
she saved 37.5%
Step-by-step explanation:
96-60=36
96*x=36
divide both sides by 96
x=0.375
Find the value of x and y. If necessary, round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
"y" is geometric mean ⇒ y² = 5 × 12
y = √60 ≈ 7.7
x² = 5² + ( √60 )²
x = √85 ≈ 9.2
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
5.7 cm
Step-by-step explanation:
4^2 + 4^2 = c^2
16 + 16 = c^2
c^2 = 32
√c^2 = √32
c ≈ 5.6568
c = 5.7
Write an addition, a multiplication, and a division statement with the
same answer
Answer:
5 x 5 = 25
20 + 5 = 25
50 ÷ 2 = 25
Step-by-step explanation:
16
Select the correct answer.
A rotating sprinkler head sprays water as far as 20 feet. The head is set to cover a central angle of 80 degrees. What area of grass will be watered?
A. 200/9 pi ft^2
B. 800/9 pi ft^2
C. 80/9 pi ft^2
D. 760/9 pi ft^2
Using the area of a circle, it is found that the area of the grass that will be watered is given by:
B. 800/9 pi ft^2
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex].
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by:
[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]
Which means that option B is correct.
More can be learned about the area of a circle at https://brainly.com/question/17326298
Answer:
B. 800/9 pi ft^2
Step-by-step explanation:
Question
Sami's savings account earns 4% simple interest. If Sami starts with $500 in her account, how much money will she have in
her account after four years?
Answer:
$584.92928
Step-by-step explanation:
If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:
y=500(1.04)^x
y being dollars and x in years
if we replace x with 4, the answers come out to be 584.92928
Answer:
Step-by-step explanation:
First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is
r=4%=4100=0.04.
The principal P=500, so the future value is
A=P(1+rt)=500(1+(0.04)(4))=$580.
A grocery store bought yogurt for $2.20 per container and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13 containers. If the remaining yogurt is sold for $3.94 per container, how many containers did the store buy if they made a profit of $105.38?
Answer:
96
Step-by-step explanation:
X be the total containers bought
Sales - cost = profit
4.08(X - 14) - 2.6X = 84.96
4.08X - 2.6X - 57.12 = 84.96
1.48X = 142.08
X = 96
Catherine has to run a few errands. She started her errands at 11:35 am. She first went to the bank for 20 minutes. Then she shopped at the grocery store for 1 hour and 15 minutes. Last she went to the gas station for 15 minutes. When was Catherine finished with her errands
Answer:
1:25 pm
Step-by-step explanation:
20 minutes after 11:35 am would be 11:55 am, 1 hour and 15 minutes after 11:55 am would be 1:10 pm, and 15 minutes after 1:10 pm would be 1:25 pm.
Please help I'll mark this as brainliest
Answer:
13/50
Step-by-step explanation:
26% of 100 is 26/100 as a fraction.
These can both be divided by 2.
Once you divide both by two you end up with 13/50.
Answer:
26 green marbles
Step-by-step explanation:
There are 100 marbles in the jar.
100 marbles are 100%
26% of these marbles are green.
Just as there are 100 marbles, we need to find how many marbles are green.
Let us do it like that: let a be the actual number of green marbles.
Marbles Percent
100 100%
a 26%
Let's find the ratio between 100% and 26% by doing 100/26 = 3.846153
We need to multiply 26 by 3.846153 in order to get to 100, right?
So same, I'll need to multiply a times 3.846153 in order to get 100.
3.846153 a = 100
divide both sides by 3.846153
a = 26 marbles
Therefore there are 26 green marbles.
Tell me if it helps you.
Which of the following are true statements? Check all that apply.
Answer:
A and C are correct
Step-by-step explanation:
We have to select the true statements from the given four statements in options.
I think the statements A and C are true from the mathematical point of view.
If the original function is and then by reflecting it about the x-axis the equation will become , and then shrinking it vertically by a factor of the function will finally become .
Hence, statement A is true.
Again, the original function has domain x ≥ 0 and range y ≥ 0, but in the transformed equation has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.
Hence, statement C is also true. (Answer)