Answer:
49.85% of light bulb replacement requests numbering between 37 and 61
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, Standard deviation = 8
Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61
37 is the mean
61 = 37 + 3*8, so 61 is three standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.
By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:
0.5*0.997 = 0.4985 = 49.85%
Admission to a museum is $7.10 per
adult and $4.80 per child. The expression
7.1a 1 4.8c represents the total cost in
dollars for admission for a adults and
c children.
If 6 adults and 6 children attend the
museum, what is the total cost?
The total cost of admission for 6 adults and 6 children to the museum is $71.4.
What is the total cost?Total cost refers to the sum of all costs incurred in producing a product, delivering a service, or achieving a particular outcome. It encompasses all the expenses, both direct and indirect, that are associated with a specific activity, project, or process.
According to the given information:
To calculate the total cost of admission for 6 adults and 6 children to the museum, we can substitute the values of "a" and "c" into the given expression "7.1a + 4.8c" and perform the calculations.
Given:
Number of adults (a) = 6
Number of children (c) = 6
Admission cost per adult = $7.10
Admission cost per child = $4.80
Substituting the values into the expression:
7.1a + 4.8c = 7.1 * 6 + 4.8 * 6
Now, we can perform the calculations:
7.1 * 6 = 42.6
4.8 * 6 = 28.8
Adding the results together:
42.6 + 28.8 = 71.4
So, the total cost of admission for 6 adults and 6 children to the museum is $71.4.
To know more about Total cost Visit:https://brainly.com/question/14927680
#SPJ1
find the measure of x and y (3x-3) (4y+4) 60 degrees
Answer:
b is the right answer
Step-by-step explanation:
Part A
Stand on -2. Which values on your number line are less than -2?
Part B
Which values are greater than -2?
Part C
Which values are farther from 0 than -2 is? Is this set of values different from the set of values greater than -2? Why?
Part D
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
11
Step-by-step explanation:
11 - 0 = 11
11 - (-2) = 14
11 is smaller than 14.
Please mark as Brainliest!!!Answer:
Part A: -3, -4, and -5 on the number line are the values that are less than -2.
Part B: -1, 0, 1, 2, 3, 4, and 5 on the number line are the values that are greater than -2.
Part C: -3, -4, -5, +3, +4, and +5 on the number lines are the values that are farther from 0 than -2, and +2 is the same.
Part D: -1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
.................Mark As BRAINLIEST Please.................A train leaves at 0711 and arrives at 0945. It travelled at an average speed of 110 km/h.
How far did it travel? Give your answer in km to 1DP?
Answer:
282.3
Step-by-step explanation:
Answer:
282.3
Step-by-step explanation:
Helpppppppppppppppppp
Answer:
c. 25
Step-by-step explanation:
100/12 = 8.3
8.3 × 3 = 24.9
rounded up is 25
Round 2.321 to the nearest whole number.
Answer:
The answer would be 2
Step-by-step explanation:
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 75 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
Answer:
86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Population: [tex]\mu = 75, \sigma = 5[/tex]
Sample of 85: [tex]n = 85, s = \frac{5}{\sqrt{85}} = 0.5423[/tex]
If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
This is 1 subtracted by the pvalue of Z when X = 74.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{74.4 - 75}{0.5423}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a pvalue of 0.1335
1 - 0.1335 = 0.8665
86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors
At a local electronic store there is a 60.1% probability that an in
stock computer is a laptop. There also exists a 25.3% probability
that a randomly chosen in-stock computer at this electronics store
has an NVIDIA GTX graphics card chipset. The likelihood that a
randomly selected computer in this store is a laptop with an NVIDIA
GTX graphics card chipset is 11.95%. If you randomly choose a
laptop computer, what is the probability that this computer will be
equipped with an NVIDIA GTX graphics card chipset?
Answer:
17
Step-by-step explanation:
I need help someone help me
Answer:
uuuuuuuuuuuuuhhhhhhh
Step-by-step explanation:
3 PART QUESTION!
I am giving 50 points for this question. But please explain this question and how to solve it, thank you!
Answer:
See below
Step-by-step explanation:
Given relationship:
d = rta) r = 3, d = 4
t = d/r = 4/3 h = 1 h 20 minb) d = 4 miles, rate = r
t = 4/r, domain is r and must be greater than zeroc) d = 4 miles, time = t
r = d/t = 4/t, domain is t and it must be greater than zerod) t = 3 h, rate = r
d = rt = 3r, domain is r and can be anything greater than zero1 point
A $300 suit is marked down by 20%. Find the sale price rounded to the
nearest dollar. *
$6,000
$240
$600
$360
Please help me I need this answer
Answer:(4,-2) (-2,4)
Step-by-step explanation:
(CO 1) In a normally distributed data set of how long customers stay in your store, the mean is 31.7 minutes and the standard deviation is 1.9 minutes. Within what range would you expect 95% of your customers to stay in your store
Answer:
The range is between 27.9 minutes and 35.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 31.7 minutes
Standard deviation = 1.9 minutes.
Within what range would you expect 95% of your customers to stay in your store
Within 2 standard deviations of the mean.
Lower bound: 31.7 - 2*1.9 = 27.9 minutes
Upper bound: 31.7 + 2*1.9 = 35.5 minutes
The range is between 27.9 minutes and 35.5 minutes.
The graph at the right shows this system of equations y=x-3 y=-3x+1 what is the solution. Explain how you can verify that it is a solution to both equation
Answer:
I think it would be (1,-2)
Step-by-step explanation:
I can verify that it is a solution because y=1-3 is the same solution as y=-3+1
The results would be x=-2 for both
Solve for x
37 points for answer :)
Answer:
x=19
Step-by-step explanation:
x+35=54
54-35=19
x=19
What is the value of the expression 9 x to the power of 2 minus 12 x plus 4 when x equal 3 ?
A.22
B.49
C.85
D.697
Answer:
22
Step-by-step explanation:
because it just is
Six cakes cost £2.40. How much do
ten cakes cost?
There are a few ways to find out the correct answer. One of them is to divide 2.40 by 6 to get a price of one cake and then multiply it by 10:
2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00
Ten cakes would cost 4 pounds.
Answer:
divide 2.40 by 6 to get a price of one cake and then multiply it by 10:
2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00
Step-by-step explanation:
Simplify each expression -21v^6/-6v^8, v=0
Answer:
The correct answer is,
[tex] - \frac{7v {14}^{} }{2} [/tex]
Answer:
the answer is b 7/2v^2
i got it right on ed
In a game show, contestants gain or lose points by answering questions. Jacob began with 27 points, then he lost 53 points and gained 15 points. What was his final score?
Answer:
His final score was -11 points
Step-by-step explanation:
27 - 53 = -26
-26 + 15 = -11
WILL MARK BRAINLYIST
A.AAA know this becouse i took the test
helppppp please what is it
Answer: 125 yards?
Step-by-step explanation:
Answer:
125 yards
Step-by-step explanation:
triangles are similar so let's see the ratio
112/140= 4/5
100÷ 4/5 =125 yards
INSTRUCTIONS:
On a separate paper, prepare a T-Account for each account listed below. (10 pts.)
Analyze and record each of the following business transactions in the appropriate T-accounts. Identify each transaction by number. (16 pts.)
After recording all transactions, compute and record each account balance appropriately. (10 pts.)
Be sure your accounting equation is accurate and is in balance. (13 pts.)
Chart of Accounts
101 Cash in Bank
110 Accounts Receivable, Roger McFall
125 Office Equipment
130 Office Furniture
135 Computer Equipment
201 Accounts Payable, Computer Warehouse, Inc.
205 Accounts Payable, Pro Computer Company
301 Pamela Wong, Capital
305 Pamela Wong, Withdrawals
400 Print revenue
500 Utility Expense
Transactions 16 Points
Pamela Wong invested additional assets in the business: cash $30,000 and office equipment $1,500. Memorandum 75
2. Purchased a desk worth $500. Check 910
3. Purchased a $3,600 computer system from Computer Warehouse, Inc. on account. Invoice CW204
4. Completed print production for Roger McFall. Sent him a bill for $600. Invoice TG601
5. Pamela Wong withdrew $2,000 from the business. Check 913
6. Received $300 from Roger McFall to apply to his account. Receipt 311
7. Issued check 914 for $1,800 to Computer Warehouse, Inc. to apply on account.
8. Paid $600 to Premier Painters for painting the office. Check 912
Answer:
vvyvyvvyvyvyvbbyefbbfbhvbfhvhfvhfvhfbvhfbvhfbvhfvfvbfvbfhvbfvf
Step-by-step explanation:
fvfnvfvfvhfbvbfdbvkurbghrsvrbagiwrgyq4tifdjbgiurwbgudfvbfsvbdhbfrifbeqyvbafwuvbrwuvbfausfbvkfdvyawrvefawevbrwugvtgbsfhvbcvfrvsafhvbarukvfshovfyuvbeuvbfoavbsfuygbreyghteufniuvehjtgidxvbtaegnveriusdfnjadnhguiwbfvkjeuigbwriokfjaicfdigseuifjgdgnsfuidvbrsguibtdgnpifuewngvhfsguipNV ijvnsidnhdfurhuaevawrbghwlabvyulzfsbvkhSDJvjsfdgntslvbdfjhgbfuyvfijgsdnvuierwnfliwdhpirqwnvdshlzcbaelfihvbglf
Answer:
the final money balance that he has in his account is $1,730
Step-by-step explanation:
i did it alreay on edge
HELP will give brainliest if you give right answer
Estimated time: 5 mins
1. What are some things your family does on a regular basis to save money? How
often does your family do these things?
julio says if you subtract 15 from my number and multiply the difference by -7, the result is -42 what is julio number
Answer:
-10
Step-by-step explanation:
Answer:
309
Step-by-step explanation:
-42 x -7 = 294 + 15 = 309
paper costs $ 40 for 10 teams how much for 1 ream?
Answer:
$4
Step-by-step explanation:
40/10 = 4
Please help 15 point
Answer:
x = √2
Step-by-step explanation:
Since this is a 30° 60° 90°, the hypotenuse is 2 times greater than the small leg. We can use this information to make an equation and solve for x.
2x = √8
x = √2
Therefore, x = √2.
solve the quadratic by completing the square:
a^2=12a-32
Answer:
a=8,4
Step-by-step explanation:
just solved it
How many solutions does the system have?
You can use the interactive graph below to find the answer.
y=3x+3
y=-2x+3
(Choice A)
A
Exactly one solution
(Choice B,)
B
No solutions
(Choice C)
C
Infinitely many solutions
Answer:
its A exactly one soulution
Step-by-step explanation:
Find the total surface area of the figure shown.
20 cm
16 cm
10 cm
12 cm
Answer:
672
Step-by-step explanation:
(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)
The total surface area of the figure is S = 672 cm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 16 x 12 )
T = 192 cm²
R = ( 16 x 10 ) + ( 12 x 10 )
R = 280 cm²
And , U = 20 x 10
U = 200 cm²
Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²
S = 672 cm²
Hence , the surface area of prism is S = 672 cm²
To learn more about surface area of prism click :
https://brainly.com/question/9183590
#SPJ2