The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Answer:
a) 0.4121
b) $588
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
Required:
a. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount?
We solve using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = $646
z = 646 - 633/45
z = 0.22222
Probability value from Z-Table:
P(x<646) = 0.58793
P(x>646) = 1 - P(x<646) = 0.41207
≈ 0.4121
b. How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Converting 0.16 to percentage = 0.16 × 100% = 16%
The z score of 16%
= -0.994
We are to find x
Using z score formula
z = (x-μ)/σ
-0.994 = x - 633/45
Cross Multiply
-0.994 × 45 = x - 633
-44.73 = x - 633
x = -44.73 + 633
x = $588.27
Approximately to the nearest dollar, the amount should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16
is $588
A company order two types of games, board and electronic. A shipment
containing 4 board games and 5 electronic games costs $103. A second
shipment containing 5 board games and 3 electronic games costs $80. Find the
cost of the board games and the cost of the electronic games.
Answer:
C
Step-by-step explanation:
i lied :)
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The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the eruptions for a typical day. Use Excel to find the best fit linear regression equation, where duration of eruption is the explanatory variable. Round the slope and intercept to one decimal place.Duration Height240 140237 154122 140267 140113 160258 140232 150105 150186 160248 155243 125241 136214 140114 155272 130227 125237 125238 139203 125270 140218 140226 135250 141245 140120 139267 110103 140270 135241 140239 135Provide your answer below:y = _x + _
Answer:
ŷ = -0.08522X + 157.7779
The slope = - 0.1
Intercept = 157.8
Step-by-step explanation:
Given the data :
Duration __ Height
240 140
237 154
122 140
267 140
113 160
258 140
232 150
105 150
186 160
248 155
243 125
241 136
214 140
114 155
272 130
227 125
237 125
238 139
203 125
270 140
218 140
226 135
250 141
245 140
120 139
267 110
103 140
270 135
241 140
239 135
General regression equation :
y = mx + c
Where
y = predicted variable
x = predictor / explanatory variable
m = slope or gradient
c = Intercept
The regression equation obtained ;
ŷ = -0.08522X + 157.7779
To one decimal place :
ŷ = -0.1X + 157.8
The slope = - 0.1
Intercept = 157.8
Find the measure of each angle
Answer:
All the work and answer is on the screenshot I have attached.
Step-by-step explanation:
Please help!! algebra
Find each value
1. ∛x³
2. 6³
3. 10³
why is earth known as diatomaceous Earth???
From biology
Answer:
Diatomaceous earth is made from the fossilized remains of tiny, aquatic organisms called diatoms. Their skeletons are made of a natural substance called silica. Over a long period of time, diatoms accumulated in the sediment of rivers, streams, lakes, and oceans. Today, silica deposits are mined from these areas.
Give the slope between the points
(-2,3) (-5, -9)
write 3 numbers that make this inequality true: x>4
Answer:
8, 10, 24
(Basically every number above 4)
Answer:
5,6 and 7
> means more than or greater than.
In this situation, its asking for numbers greater than 5.
Hope this helps. ;)
what does the graph of f(x)=-2/3x+490 represent
Answer:
search that question up on brainly it got the answer bruu
Step-by-step explanation:
About how many centimeters larger is it ? Round to the nearest hundretdth
Answer: what is there a picture of it?
Step-by-step explanation:
A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects.A. TrueB. False
Answer:
The statement provided is False.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.
For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.
The statement provided is:
"A paired t-test can be treated as an inference about the mean of differences between two experimental conditions for a single sample of independent subjects."
Thus, the statement provided is False.
Describe how to round 3.987 to the nearest tenth.
Answer:
4
Step-by-step explanation:
You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4
Jacob has a piece of paper in the shape of a Decagon, how many sides would be there for the
paper.
A) 7
B) 8
C) 9
D) 10
Answer:
10
Step-by-step explanation:
A decagon is a polygon that has 10 sides !
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer
By which rule are these triangles congruent?
Answer:
sss
Step-by-step explanation:
Why should a combination lock” actually be called a “ permutation lock”? Provide some examples of combinations and permutations that you use to remember which is which
Step-by-step explanation:
Well irs a pertuation lock because you are making a unique combination that only you know and an example of this is like 12395 or 9583644 those two are combinations and there are aproximately 64,000e12 combinations
I have $10 my mom gave me $30 my dad gave me $30 my aunt and uncle gave me $100 but I had another $10 so how much do I have
Answer:
$180
Step-by-step explanation:
10+30+30+100+10=180
Glen got 48 out of 64 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answer:
He got 16 incorrect
Step-by-step explanation:
Answer:
fraction: 3/4
percent: 75%
Step-by-step explanation:
Vocabulary How can you tell when an equation in one variable has infinitely many solutions or no solution? When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions. When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions. When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.
Answer: Choice C) When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.
For example, let's say we had the equation x = x+2. Subtracting x from both sides leads to 0 = 2 which is a false statement. No matter what we replace x with, the equation x = x+2 is always false. That's why we don't have any solutions here.
For an equation like x + 2 = x + 2, subtracting x from both sides leads to 2 = 2 which is always true. A true equation is one where the same number is on both sides. No matter what we replace x with, the equation will be true. Therefore, there are infinitely many solutions.
To tell when an equation in one variable has infinitely many solutions or no solution;
When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.The condition for an equation with no solution warrants that the equation upon evaluation yields a false statement as in the case of 1 = 2. In this case, such an equation has no solution.
The condition for an equation with infinitely many solutions warrants that the equation upon evaluation yields a true statement as in the case of y + 5 = y + 5. In this case, such an equation has infinitely many solution.
Read more;
https://brainly.com/question/11966980
A car running at a constant speed covers a distance of 492.36 km in
12 hours. Calculate the distance covered by the car in 51/2 hours.
Answer:
the anser is 1046.265 because in
492.36=12hour
? =51/2hour then criscros both side 492.36*25,5/12=492.36
The value of 8 in 5.18 is
of the value of 8 in 5.81.
Answer: This is false.
Step-by-step explanation:
The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.
We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?
Answer:
Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!
Step-by-step explanation:
32% is the probability that 3 are blue and 2 are red.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
We have a bag that contains 100 balls, 50 of them red and 50 blue.
We, Select 5 balls at random.
the probability that 3 are blue and 2 are red = 50C3*50C2/50C5
solving we get,
19600*1225/75287520
=24010000/75287520
=0.32
=32%
Hence, 32% is the probability that 3 are blue and 2 are red.
To learn more on probability click:
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#SPJ2
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
19. Theodore purchased a vintage painting from an art dealer worth $480. The dealer noted that the value of the painting will increase by 12 percent per year. What is the growth factor of the
painting?
All changes
12
480
0.12
1.12
The growth factor of the painting is 0.12
What is percent?"It is a ratio that can be expressed as a fraction of 100."
For given question,
The value of the painting will increase by 12 percent per year.
The 12% in decimal form,
[tex]=12\times \frac{1}{100}\\\\ =0.12[/tex]
So the growth factor of the painting is 0.12
Learn more about percentage here:
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Help :( I need this :)
Answer:
you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.
I'll braintlist!!!
Find the value of each expression in lowest terms:
1/6 X 11/4
11/5 X 1/3
14/3 X 1/5
5/3 X 2/5
3/4 X 8/9
5/2 X 2/7
Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(1)
Answer:
100 x 2 x10x5
Step-by-step explanation:
B.F. Retread, a tire manufacturer, wants to select one of three feasible prototype designs for a new tire; A, B, C.
Revenues
Low (0.30) Medium (0.50) High (0.20)
A 120,000 255,000 390,000
B 130,000 295,000 460,000
C 100,000 300,000 480,000
Required:
Calculate the highest value you would pay for a highly reliable forecast.
Answer:
c
Step-by-step explanation:
what is the meaning of function
Answer:
A relationship or expression involving one or more variables
Step-by-step explanation:
OBX Cart Rentals has created a website for customer access. They are trying to determine a reasonably secure number of available passwords. They have decided to allow upper case letters, lower case letters, digits (0 â 9), and the three special characters: $, ! ?. Find the number of possible 6 character passwords given each of the conditions (Note: you MUST simplify completely.)
a. The password must begin with a letter (either upper or lower case)
i. repetitions permitted
ii. repetitions not permitted
b. The password must begin with a letter and end with a special character ($, !, ?):
i. repetitions permitted
ii. repetitions not permitted
Answer:
A)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B)
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760
Step-by-step explanation:
Total Number of letters = 52
Number of upper case letters = 26
Number of lower case letters = 26
Number of digits ( 0 - 9 ) = 10
special characters = 3
password = 6 characters
Therefore the total number of choices = 52 + 3 + 10 = 65
A) The password must begin with a letter (either upper or lower case)
i) for repetitions
there will be : 52 * 65 * 65 * 65 * 65 * 65 = 60335112500 number of passwords
ii) for Non - repetitions
there will be : 52 * 64 * 63 * 62 * 61 * 60 = 47576954880
B) The password must begin with a letter and end with a special character ($, !, ?):
i) for repetitions
there will be : 52 * ( 65 )^4 * 3 = 2784697500
ii) for Non-repetitions
there will be : 52 * 63 * 62 * 61 * 60 * 3 = 2230169760