Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).
What does the Empirical Rule state?It 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.The middle 99.7% is within 3 standard deviations of the mean, hence:
1600 - 3 x 70 = 1390.1600 + 3 x 70 = 1810.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Factor each polynomial using the Greatest Common Factor.
Answer:
–9(3x³ – 8x + 9)
Step-by-step explanation:
–27x³ + 72x – 81
The above equation can be factorised as follow:
–27x³ = –3 * 3 * 3 * x * x * x
72x = 2 * 2 * 2 * 3 * 3 * x
–81 = –3 * 3 * 3 * 3
Common factor = 3 * 3
Greatest common factor = 9
Thus,
–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)
–27x³ + 72x – 81 = –9(3x³ – 8x + 9)
Jenna multiplied four numbers together and then divided by -2 the result was a positive value which of the following statements must be true 1 an odd number of factors were negative 2 none of the factors were negative 3 and even number of factors were negative 4 all of the factors were negative
Answer:
1. An odd number of factors were negative
Step-by-step explanation:
The first is true.
If an odd number of factors were negative, you have a negative result.
When you divide a negative by a negative you have a positive.
In this case when you divide the negative product by - 2 you have a positive.
What is the answer to this question?
Answer:
10
Step-by-step explanation:
70-30=40
50-40=10
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A recent taste test showed that 85% of people liked a new chicken sandwich recently added to a restaurant’s menu. The restaurant manager claimed that only 68% liked the new sandwich. To determine whether this sample supports the population proportion of 0.85, a simulation of 100 trials is run, each with a sample size of 30 and a point estimate of 0.85. The minimum sample proportion from the simulation was 0.66 and the maximum sample proportion from the simulation was 0.88.
a) Estimate the margin of error using the half the range method.
b) Use your margin of error to find the interval estimate.
c) Based on the computed interval estimate, is the restaurant manager’s claim that 68% of people liked the new sandwich valid? Explain your answer.
Answer:
a) The margin of error = 0.11
b) The interval estimate = (0.74, 0.96)
c) Not valid because 68% = 0.68 is less than the values in the interval estimate
Step-by-step explanation:
The statistical data from the population and the simulation are;
The percentage of the people that liked the new chicken sandwich = 85% = The population proportion
The percentage the restaurant manager claims liked the new sandwich = 68%
The number of trials of the simulation = 100 trials
The sample size of each trial = 30
The point estimate of each trial = 0.85
The minimum sample proportion = 0.66
The maximum sample proportion = 0.88
a) The confidence interval = (0.66, 0.88)
By the half the range method, the margin of error is given by half the width of the confidence interval
∴ The margin of error, MOE = (0.88 - 0.66)/2 = 0.11
b) The interval estimate are the expected range of numbers for a parameters
The interval estimate = The point estimate ± MOE
∴ The interval estimate = 0.85 ± 0.11 = (0.74, 0.96)
Given that the manager's claim of 68% is not within the interval estimate, the manager's claim is not valid based on the expected values for the people that liked the new sandwich found with the point estimate and the margin of error
Need help I u get it right I’ll mark u as branniest
Answer:
primero debemos resolver la ecuacion sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8
13d^{3}=-8 entonces
entonces remplazamos en la formula cuadratica 3d=a 0=b -8=c y lo rremplazas en la formula cuadratica
Step-by-step explanation:
First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8
13d 3 = - 8 then
then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula
[tex]3x^3 - 7x^2 \ x[/tex]
i need help on this problem with steps please :((
Answer:
Log (1/x) = –0.9925
Step-by-step explanation:
From the question given above, the following data were obtained:
Log x = 0.9925
Log (1/x) =?
Recall,
Log (M/N) = log M – Log N
Thus,
Log (1/x) = Log 1 – Log x
Recall
Log 1 = 0
Log x = 0.9925
Thus,
Log (1/x) = Log 1 – Log x
Log (1/x) = 0 – 0.9925
Log (1/x) = –0.9925
In the diagram of right triangle ABC shown below, AC = 59 and
length of x, to the nearest tenth.
Answer:
ɨ ċaռ't ɛxքʟaɨռ ɮʊt ɨt ɨs aċ=59x2
I have no clue what its asking me to do or what to do so do it for me please
Answer:
i cant see the question :(
Step-by-step explanation:
The volume of a box in the shape of a rectangular prism
is 30 cubic inches. The width of the box is 2 inches less
than the length. The height is 3 inches less than the length.
Find the length (in inches) of the box.
Answer: 12
Step-by-step explanation:
What is the surface area of the rectangular pyramid below?
Answer: 363
Step-by-step explanation:
First you’d do 11 X 11=121 divide by 2 and get 60.5 X 4 (Because there are for triangle sides) and get 242 plus the rectangular base 11X11=121+242=363
Use the rule to find the output when the input is –6.
Output = Input ÷ 2
a. –8
b. –3
c. 3
d. –4
Answer: C
Step-by-step explanation:
yes
Why do you think gas stations often quote a price per gallon that ends in 9/10 of a cent? Do you think this is an appropriate use of fractions? Why or why not?
Classify the triangle by its sides and angles
Answer:
Obtuse Scalene Triangle
Give me Brainliest if I'm correct , please ! :)
What would be the answer?
Answer:
6
Step-by-step explanation:
To breakeven means that you made exactly as much money as you spent, so if you spent $50 to make lemonade, you would need to make $50 in profits from selling to break even
first subtract the cost of making each horse from the price of selling each horse (you do this to find out how much profits he makes from one horse):
125 - 75 = 50
now divide 300 by 50 to find out how many horses need to be made to break even:
300 ÷ 50 = 6
Please help, Find the perimeter of the figure
Answer:
24
Hope that this helps!
Answer:
24 inches
Step-by-step explanation:
starting from 4 going clockwise, add the inches to get the perimeter:
4 + 5 + 1 + 5 + 9 = 24
PLEASE HELP (15 POINTS!!) PLEASE
Answer:
(4,9)
Step-by-step explanation:
To solve this, you can use substitution or elimination. In this case I would use substitution. To do this, you have to isolate a variable. x is already isolated so we can skip this step. plug x into 5x-7y=-43. This will make the equation 5(2y-14)-7y=-43. Simplify this to get 10y-70-7y=-43. Simplify this to get 3y-70=-43. Add 70 in both sides to isolate y. This will make the equation 3y=27. Divide both sides by 3 to make y equal to 1. This will make the equation y=9. Now you know that y=9. Plug 9 into any equation. x=2(9)-14. Simplify this to get x=18-14. x=4. Now put the numbers as an ordered pair which is (x,y). We know that x=4 and y=9 so it is (4,9).
If this answer has helped you please mark as brainliest.
Answer:
Where are you from ??
Step-by-step explanation:
From New Zealand ??
In which direction does the left side of the graph of this function point?
f(x)= -x4- x2 + 4x - 2
In ΔPQR, what is the m∠Q? Enter your answer in the box.
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
Answer:
105.
I hope you have a good day :)
Two rectangles are similar. One is 2.5 meters by 9 meters. The longer side of
the second rectangle is 22.5 meters. What is the other side of the second rectangle?
Find the diameter of the object.
diameter: ___ cm
Answer: 1 1/5
Step-by-step explanation: So the diameter is the length of the whole sphere and since half of this is 3/5 you at times that by two and you would get 1 1/5
Answer:
30cm
Step-by-step explanation:
Diameter of circle= 2×radius
2×⅗
30cm
hope it helps
What is the circumference of the table top? Write your answer using
Show your work.
Answer
the diameter is 44
Step-by-step explanation:
the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.
a shirt normally cost 26 pounds. the price was reduced by 25%. how much does the shirt cost now?
Answer:
19.5 pounds
Step-by-step explanation:
25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds
plz help me plz plz plz plz plz
Answer:
38
Step-by-step explanation:
The area of a kite is equal to half the product of the diagonals
To find the area we must first find the measures of the diagonals
short diagonal = 2 + 2 = 4
longer diagonal = 8 + 11 = 19
We then calculate the area by multiplying the two diagonals together and then dividing that by 2
A = 19 * 4 = 76
76 / 2 = 38
Hence, the area of the kite is 38m²
38m².
Answer:
Solution given;
diagonal 1=8+11=19m
diagonal 2=2+2=4m
the area of a kite =½*diagonal 1*diagonal 2
=½*4*19=38m²
The area of kite is 38m².
The surface area of a figure is 736 in^2. If the dimensions are multiplied by 22, what will be the surface area of the new figure?
Answer:
356 224 in²Step-by-step explanation:
If the dimansions of a figure are multiplied by 22 then its surface is multiplied by 22²
736 in²·22² = 736 in²·484 = 356 224 in²
Pls pls help quick I rlly don’t know I just need a value for x
Step-by-step explanation:
3(x - 3) = 3(2x - 3)
3x - 9 = 6x - 9
- 3x - 9 = -9
-3x. = 0
x = 0
Emerson deposited $194 into the bank. What will the balance be if Emerson left the money there for 7 years with an interest rate of 7.67%?
Answer:
You just have to round to the cent place to get your answer
Step-by-step explanation:
Hope it helped!
-Brainly User
Answer:
298.16
Step-by-step explanation:
you divide 7.67 by 100 then you would take that number and multiply it by 194 and 7 and then add your total to 194
what is x? Options: 60 or 100
Answer:
60 degrees
Step-by-step explanation:
180 - 120= 60
Factor in this expression 6z ^ 4 - 4 + 9(y ^ 3 + 3)
Answer:
6z ^ 4-4 is a factor
Step-by-step explanation:
Given data
6z ^ 4 - 4 + 9(y ^ 3 + 3)
open bracket
6z ^ 4 - 4 + 9y ^ 3 + 27
collect like terms
6z ^ 4+9y^3 - 4 +27
6z ^ 4+9y^3 - 23
From the above expression 6z ^ 4-4
Answer:
its a.
(y^3+3)
Step-by-step explanation:
common sense
Help a bab out with Geometry ☹️?
Answer:
1/3*9.7*pi7.6^2ft^3
Step-by-step explanation:
Then round to the nearest hundred,
=586.7ft^3