The maintenance department at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 43 and a standard deviation of 11. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 10 and 43
Answer:
The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 43
Standard deviation = 11
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above the mean.
What is the approximate percentage of lightbulb replacement requests numbering between 10 and 43?
43 is the mean
10 = 43 - 3*11
So 10 is 3 standard deviations below the mean.
Of the 50% of measures below the mean, 99.7% are between 3 standard deviations below the mean(10) and the mean(43). So
0.5*0.997 = 0.4985.
0.4985*100% = 49.85%.
The approximate percentage of lightbulb replacement requests numbering between 10 and 43 is of 49.85%.
In which quadrant of the coordinate plane is the point (−7,−212) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Answer:
Quadrant 3
Step-by-step explanation:
you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight line distance from your starting point
Answer:
17.205 miles
Step-by-step explanation:
Since these directions form a 90-degree angle, we can use the Pythagorean Theorem.
14^2 + 10^2 = c^2
196 + 100 = c^2
296 = c^2
It doesn't have a perfect square root, you can either say that it is [tex]\sqrt{296}[/tex] or approximately 17.205 miles.
A rectangular prism that has a width of 3 1/2 what is the width of the prism in terms of cubes?
Answer:
84 cubes :)
Step-by-step explanation:
4. You bought 765 shares $45.23 and you sold it the next day for $46.01. What is your gross capital
I honestly don't know the answer. Hope this helps..
5. Michelle sells flowers for weddings. The
price she charges (P) can be approximated by
the equation: P = 40 + 12d , where d
represents how many dozens of flowers are
ordered. Ann paid Michelle $400 for the
flowers at her wedding. How many dozens of
flowers did Ann order?
A. 37
B. 30
C. 25
D. 22
Answer:
B. 30
Step-by-step explanation:
since Ann paid $400, you set the equation equal to 400
400=40+12d
Then you solve for d to find how many dozen of flowers Ann ordered.
400-40=12d
360=12d
360/12=d
d=30
susan has a total of 31 books. amy has four less than seven times the number of books compared to susan. write an equation for this situation.
Answer:
31-(7×4)
Step-by-step explanation:
31-(7×4)
31-28
3
NEED NOW I WILL MARK BRAINLYEISY
Mr. Asir wants to purchase a new home valued at $233,000.
He needs to borrow 50.7% of the home's value from the
bank. How much money doesMr. Asir need to borrow from
the bank?
A $1181
B $4596
$459,566
D $118,13
Find the circumference of the object. Use 3.14 or
22/7 for 2. Round to the nearest hundredth if necessary,
2 meters
circumference: about
m
Answer:
19.73
Step-by-step explanation:
look up circumference formula and click solve
3x + 7y = 21 –3x – 7y = 42
Solve the system of equations?
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations describe parallel lines. There are no values of x and y that will satisfy both equations.
In standard form, the two equations are ...
3x +7y = 21
3x +7y = -42 . . . . . with positive leading coefficient
If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.
Simplify: -4r + s - 2r - 3s
Answer:
-6r - 2s
Step-by-step explanation:
Combining Like Terms like this
-4r + s-2r - 3 s <<<
-6r + s - 3 s
= -6r - 2s <<<
Answer:
-6r - 2s
Step-by-step explanation:
What is the image of (-4,-12) after dilation by a scale factor of the fraction one fourth centered at the origin
Answer:
Step-by-step explanation:
When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved in additional $550 per year. How much we have in
the account after 10 years?
Answer: 9000
Step-by-step explanation:
3500+5500=9000
5500=10years x 550/year
Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The balance that the account will have after 10 years is $9,000.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved an additional $550 per year.
Therefore, the balance of the account after 10 years is,
Balance after 10 years = $3500 + $550(Number of years)
= $3500 + $550(10)
= $9,000
Hence, the balance that the account will have after 10 years is $9,000.
Learn more about Addition:
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On a standardized test, the mean is 37 and the standard deviation is 2.5. Approximately what percent of the scores fall in the range 32 - 42 ?
A) 68%
B) 95%
C) 34%
D) 99%
Answer:
B) 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 37, standard deviation = 2.5
Approximately what percent of the scores fall in the range 32 - 42 ?
32 = 37 - 2*2.5
So 2 standard deviations below the mean
42 = 37 + 2*2.5
So 2 standard deviations above the mean.
This question is the percentage of scores within 2 standard deviations of the mean, so, by the Empirical Rule, it is 95%, option B.
Colby and Layla sold pens for the writing club.
Layla sold two more than six times the number of pens that Colby sold
If p represents the number of pens that Colby sold, which algebraic expression represents the number of pens that Layla sold? Yes
What is the volume of a cylinder with a base area of 23 cm2 and a height of 15 cm
Answer:
V =345 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = Bh where B is the base and h is the height
V= 23 * 15
V =345 cm^3
Answer:
345cm³
Step-by-step explanation:
AB h = 23 x15
= 345cm³
Your welcome!
As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 84%. A random sample from a recent shipment of alumina yielded the following results (in percent):
93.2, 87.0, 92.1, 90.1, 87.1, and 93.4.
A hypothesis test will be done to determine whether or not to accept the shipment.
a. State the appropriate null and alternate hypotheses.
b. Compute the P-value.
c. Should the shipment be accepted? Explain.
Can someone please help me with these will give brainliest
pppppppjnjk hieffhuie pleaase help
Answer:
B
Step-by-step explanation:
I'm not sure if it's right but you can try it
Answer:
answer: 30 in sq
Hope that helps!
Parker Moore is single and pays into an HMO. The total cost is $8,550 annually and the employer pays 90 % of the total cost . Parker also pays 50% of the optional annual dental premium of $782. How much is deducted each week from his paycheck ?
Answer:23.96
Step-by-step explanation:
100-90=10%
10/100=0.10
0.10(8550)=855
100-50=50%
50/100=0.50
0.50(782)=391
855+391=1246
1246/52=23.96
a ladybug moves 1/25 of a mile in 3/5 of an hour. if the lady bug continues at this pace how far in miles doesbit move in one hour
Answer:
1/15 mile
Step-by-step explanation:
(1/25) / (3/5)
When dividing by a fraction flip it over and multiply
(1/25) * (5/3) = 5/75
Reduce
1/15 mile
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
Find the area of the composite figure.
A. 360 sq m
B. 720 sq m
C. 1000 sq m
D. 1152
Answer:
B 720 sq m
Step-by-step explanation:
A= 24^2 + 12^2
= 720 sq m
HELPP FAST!! Will mark brainliest
Answer:
No
Step-by-step explanation:
Because it is not going up by the same amount everytime
HELP ME PLEASEEEEEEEEEEEE
Answer:
20 feet
Step-by-step explanation:
[tex]1)\ A = \frac{b * h}{2}[/tex]
[tex]2)\ 120 = \frac{12b}{2}[/tex]
[tex]3)\ 12b = 240[/tex]
[tex]4)\ b = 20[/tex]
902
If the probability that a person will die in the next year is
what is the
100,000'
probability that the person will not die in the next year?
A. 0.902%
B. 99.098%
C. 0.098%
D. 99.902%
Answer:
B. 99.098%
Step-by-step explanation:
The probability that the person will not die in the next year is 99.098% .
Correct option is B.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Probability of a person will die next year = 902/100000
sum of the probabilities of all events in the sample space is 1.
Then probability of the person will not die in the next year
= 1 - 902/100000
= 1 - 0.00902
= 0.99098
= 0.99098 × 100/100
= 99.098%
Hence, 99.098% is the probability that the person will not die in the next year.
Learn more about probability here:
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In a histogram, the ________
consists of intervals or ranges.
I really should pay more attention in class....
Explain what the diameter of a circle is. If you had the diameter of a circle, how could you solve for the circumference?
Answer:
The diameter cannot solve for the circumference, you need the Radius to do it.
Step-by-step explanation:
If you want to use the Diameter divide the Diameter by 2. Diameter=D Radius=R
So to find the circumference of a Circle, 2÷D=R. Now we do 2[tex]\pi[/tex]R. So now to find the answer we have to do 2x[tex]\pi[/tex]xR
Which expressions correctly represent the area of the triangle XYZ?
Answer:
Options (2) and Option (1)
Step-by-step explanation:
Area of the ΔXYZ = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(XZ)h[/tex]
= [tex]\frac{1}{2}(18)h[/tex]
By applying sine rule in the ΔYPZ,
sin(38°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(38°) = [tex]\frac{h}{14}[/tex]
h = 14[sin(38°)]
Therefore, area of the given triangle = [tex]\frac{1}{2}(18)(14)sin(38)[/tex]
By applying sine rule in ΔYPZ,
sin(58°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(58°) = [tex]\frac{h}{10}[/tex]
h = 10sin(58°)
Area of ΔXYZ = [tex]\frac{1}{2}(18)(10)sin(58)[/tex]
Therefore, Options (2) and Option (1) are the correct options.
Please Help. Lateena solved the equation below. Is her solution correct? Explain why or why not?
I've attached the picture for the problem.
Answer:
Not correct
Step-by-step explanation:
Given:
x² - 6x - 7 = 0
The following equation can be solved correctly by factoring Thus,
x² - x + 7x - 7 = 0
x(x - 1) +7(x - 1) = 0
(x - 1)(x + 7) = 0
(x - 1) = 0
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
Or
(x + 7) = 0
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
Therefore, the solution would be x = 1 or x = -7
Lateena solution is therefore NOT CORRECT because she used a wrong method.