[tex]\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex]\mathrm{ \% \: error =\dfrac{3}{9} ×100}[/tex][tex]\mathrm{ \% \: error = \dfrac{1}{3} ×100}[/tex][tex]\mathrm{ \% \: error = 33.33 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Each year, a large warehouse uses thousands of fluorescent light bulbs that burn 24 hours per day until they burn out and are replaced. The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours. The supplier of the light bulbs and the manager agree that any bulb whose lifetime is among the lowest 1% of all possible lifetimes will be replaced at no charge. What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes
Answer:
The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The lifetime of the bulbs is a normally distributed random variable with mean equal to 600 hours and standard deviation of 12 hours.
This means that [tex]\mu = 600, \sigma = 12[/tex]
What is the maximum lifetime a bulb can have (hrs) and still be among the lowest 1% of all lifetimes?
This is the 1st percentile of lifetimes, which is X when Z has a pvalue of 0.01, that is, X when Z = -2.327.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.327 = \frac{X - 600}{12}[/tex]
[tex]X - 600 = -2.327*12[/tex]
[tex]X = 572[/tex]
The maximum lifetime a bulb can have and still be among the lowest 1% of all lifetimes is 572 hours.
r = 3.7 m.
Calculate the circumference of the circle.
Answer: 23.25m
Step-by-step explanation:
C=2πr=2·π·3.7≈23.24779m
Help pls!Pls and ty!
Answer:
a
Step-by-step explanation:
I want to know how to do 11/13+44/39
Answer:
I'm pretty sure that the answer is 1.97
[tex] \frac{11}{13} + \frac{44}{39} [/tex]
11/13 ×3
11×3=33
13×3=39
11/13=33/39
33/39+44/39
= 77/39
77÷39
=
[tex]1 \frac{38}{39} [/tex]
A $1,200 computer is losing value at a rate of 22% per year; 2 years
Answer:
$730.08
Step-by-step explanation:
22% = 0.22
1 - 0.22 = 0.78
Value after 2 years
v = 1200(0.78)²
v = 730.08
$730.08
2,649 divided by 55 please help
Answer:
49.1636363636
Step-by-step explanation:
Fred has a jug that contains
750 milliliters of milk. How many
liters of milk are in the jug?
Answer:
.75 liters
Step-by-step explanation:
add a decimal point at the end of 750 and move it 3 places to the left because mili is one thousandth of a liter
The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to find the amount of time it will take Machine B to pack the additional boxes that are needed for the order, assuming none of the boxes are defective.
Answer:
no lo sé pero te ayudaría si lo supieraI need he answer pls answer fast answer don’t scam
Answer:
30 ft²
Step-by-step explanation:
Area of trapezium = 1/2 (a + b)h
a = 6 ft , b = 9 ft , h = 4 ft
Area = 1/2 (6 + 9) 4
= 30 ft²
Answer:
D
Step-by-step explanation:
Struggling with these last two. Thanks so much!!
Answer:
1. C
2. D
Step-by-step explanation:
1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.
2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1
The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.
so the equation is y=x+6, which is just the last option, let's say D, but just rearranged
I need help pleasee!!!!
Answer:
Your answer is c
Step-by-step explanation:
the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answer:
10 in
Step-by-step explanation:
help please help me
Answer:
given the way its said i say sudden.
Determine whether each expression is equivalent to 64^t^3-0.5t
Answer:
Step-by-step explanation:
Solve 1/3(3.2×1.4)2.8
Simplify your answer
Answer:
4.181
Step-by-step explanation:
1/3 (3.2×1.4) 2.8
1/3 ( 4.48) 2.8
1/3 (4.48 × 2.8)
1/3 × 12.544
= 4.181
i need to know the surface area of both 1 and 2 please
Answer:
1. 142 in.²
2. 190 cm²
Step-by-step explanation:
Both solids are rectangular prisms.
Surface area of a rectangular prism = 2(LW + LH + HW)
1. L = 7 in.
W = 3 in.
H = 5 in.
Plug ok the values into the formula
Surface area = 2(7*3 + 7*5 + 5*3)
= 142 in.²
2. L = 10 cm
W = 3 cm
H = 5 cm
Plug ok the values into the formula
Surface area = 2(10*3 + 10*5 + 5*3)
= 190 cm²
what are the measures of 7 and 2 ? Explain please
Answer:
angle 2 is 99
angle 7 is 81
Step-by-step explanation:
Angle 2 and the angle we are given are congruent because they are vertical.
Angle 7 and the angle we are given form a line, so they add up to 180.
180-99 = 81
Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages?
Answer:
Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.
Step-by-step explanation:
Evaluate the expression for x^2×x^1 for x=9
Answer:
729
Step-by-step explanation:
x^2*x^1 = (9)^2 * (9)^1
= (9)^3
= 729
80% of what number is 960? Answer pls
Answer: 1200
Step-by-step explanation:
80% × x = 960
or,
80
100
× x = 960
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 960 ×
100
80
x = 1200
Answer:
Answer: 1200 eeeeeeeee
help please help please
what is the polynomial degree for 7,8+6,5-4
Answer:
7
,
14
,
1
Step-by-step explanation:
What is the prime factorization of 156?
Complete the pattern. 33, 44, 55, 66, ___, ___
Answer:
33,44,55,66,77,88
Hope this helps!!!!!!!
Paul purchased a new fish tank, represented by the diagram below.
The height, h, of the tank is 3 feet, and the width, w, is 6 feet longer than the length, l. The volume of the tank (V=lwh) is 60 ft^3.
Write an equation that could be used to calculate the length of the tank.
Determine the exact length of the tank in simplest radical form.
Answer: l=-3+square root of 29
Step-by-step explanation:
I got this on my math homework
can someone solve for x please
Answer:
x=-4
Step-by-step explanation:
The two lines are parallel, so the two angles, 45 and x+49 are equal too
Lets make the equation
x+49 = 45
x = 45-49
x = -4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In the triangle below, what is the length of the side opposite the 60° angle?
A. /3
B. 3/3
C. 6
D. 2/3
Step-by-step explanation:
[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]
I need help with this question please
The following is an arithmetic series.
31+33.5+36+38.5+...
O True
O False
9514 1404 393
Answer:
True
Step-by-step explanation:
It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.
True, the sum is an arithmetic series.
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^