Answer:
around 4725
Step-by-step explanation:
Answer:
157.5 hours
Step-by-step explanation:
If Craig continued to work 21 hours for 7.5 months he would work a total of 157.5 hours.
Why?
Because if you multiply 21 seven times you get a total of 147 hours, but we still have the .5 of the month so take 21 and divide it by 2 which gives us 10.5 hours.
When you have both you outcomes ready you add 147 and 10.5 hours
Which gives us 147+10.5=157.5 hours.
Good luck :)
The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:
a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
Answer:
0.9
0.3012
0.1809
230258.5
Step-by-step explanation:
Given that:
μ = 100,000
λ = 1/μ = 1 / 100000 = 0.00001
a. Fails in less than 10,000 hours.
P(X < 10,000) = 1 - e^-λx
x = 10,000
P(X < 10,000) = 1 - e^-(0.00001 * 10000)
= 1 - e^-0.1
= 1 - 0.1
= 0.9
b. Lasts more than 120,000 hours.
X more than 120000
P(X > 120,000) = e^-λx
P(X > 120,000) = e^-(0.00001 * 120000)
P(X > 120,000) = e^-1.2
= 0.3011942 = 0.3012
c. Fails between 60,000 and 100,000 hours of use.
P(X < 60000) = 1 - e^-λx
x = 60000
P(X < 60,000) = 1 - e^-(0.00001 * 60000)
= 1 - e-^-0.6
= 1 - 0.5488116
= 0.4511883
P(X < 100000) = 1 - e^-λx
x = 100000
P(X < 60,000) = 1 - e^-(0.00001 * 100000)
= 1 - e^-1
= 1 - 0.3678794
= 0.6321205
Hence,
0.6321205 - 0.4511883 = 0.1809322
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?
P(x > x) = 10% = 0.1
P(x > x) = e^-λx
0.1 = e^-0.00001 * x
Take the In
−2.302585 = - 0.00001x
2.302585 / 0.00001
= 230258.5
Using the exponential distribution, it is found that:
a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.
b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.
c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.
d) The 90th percentile is of 230,259 hours.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this problem:
Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]
Item a:
[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]
0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.
Item b:
[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]
0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.
Item c:
[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]
[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]
[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]
0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.
Item d:
This is x for which:
[tex]P(X > x) = 0.1[/tex]
Hence:
[tex]e^{-\mu x} = 0.1[/tex]
[tex]e^{-0.00001 x} = 0.1[/tex]
[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]
[tex]-0.00001 x = \ln{0.1}[/tex]
[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]
[tex]x = 230259[/tex]
The 90th percentile is of 230,259 hours.
A similar problem is given at https://brainly.com/question/25645425
Which of the following statements are true? Select all that apply.
HELP PLEASE!
Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)
Answer:i think it is like 17
Step-by-step explanation:
A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.
Merry Christmas and Happy Holidays!!! <3
Answer:
The Standard Form of the equation of a line is: Ax+By=C
Converting that, once and forevermore, into slope-intercept form, and remembering the result,
the slope m=(-A/B).
If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C. Use (2,10)
8(2)-10=C
6 = C
The equation of the line, in Standard Form, is: 8x - y = 6
Demarcus' workout playlist consists of classic rock songs and rap songs.
His playlist contains a total of 47 songs,
Which of the following statements represent the number of classic rock
and rap songs on Demarcus' playlist? Select all that apply.
x+y = 47
24 and 24
43 and 4
x = y + 47
y=-x+ 47
13 and 34
Find x =
Please help I’ll give brainiest answer
Answer:
The Answer is 6
Help Me Please. and I will help you
Answer:
[tex]AB = 8.38[/tex]
Step-by-step explanation:
Given
[tex]AC = 9[/tex]
[tex]BC =10[/tex]
[tex]\angle B = 52[/tex]
Required
Determine AB
This question will be answered using the cosine law.
[tex](AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B[/tex]
Substitute the expected values
[tex](AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)[/tex]
[tex](AB)^2 = 81 + 100 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* 0.6157[/tex]
[tex](AB)^2 = 70.174[/tex]
Take square roots of both sides
[tex]AB = \sqrt{70.174[/tex]
[tex]AB = 8.38[/tex] -- approximated
x^3*x^?=x^17 I don't know what the is.
Answer:
14Step-by-step explanation:
x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14Answer:
First write the given equation[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]
Simplify[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]
[tex]{:}\longrightarrow\tt 3+?=17 [/tex]
Interchange sides[tex]{:}\longrightarrow\tt ?=17-3 [/tex]
[tex]{:}\longrightarrow\tt ?=14 [/tex]
Explore more:-Formulas of exponents:-[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]
Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 |80 120 160 1200
Cost (S)
14.00 8.00 12.00 16.00 120.00
Answer: hold on you didn’t give enough info for this to make sense
Step-by-step explanation:
Solve. Please show your work
Answer:
128
Step-by-step explanation:
8^2√2^2
64√2^2 rewrite √2^2 as 2
64*2
=128
The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.
Answer: 60 million per year
Step-by-step explanation:
The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:
Average rate of change = change in number of vists in billions / number of years passed
= (1.6 billion - 1.3 billion) / 1999 - 1994
= 0.3 billion/5
= 60,000,000
= 60 million per year
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental
Answer:
Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people
Answer:
0.865
Step-by-step explanation:
Given that:
Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p = 1/ 12000 = 0.0000833333
n = 24000
P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)
In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :
The result is thus : 0.86467588659
P(x ≥ 1) = 0.865
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
How much did Samson deposit when he opened the account? Enter your answer in the box.
Step-by-step explanation:
find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20
The amount of deposit when he opened the account will be $650.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
Then the amount of deposit when he opened the account will be given as,
A = P + I
812.5 = P + (P x 1.25 x 20)/100
812.5 = P [1 + 0.25]
812.5 = 1.25P
P = $650
The amount of deposit when he opened the account will be $650.
More about the simple interest link is given below.
https://brainly.com/question/2793278
#SPJ2
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:
Md = 24 x 60 = 1440 minutes.
Hence, the number of minutes in 365.25 days is given by:
My = 1440 x 365.25 = 525,960 minutes
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
The zoo needs to hire b staff members for each exhibit. Write the expression for
the number of staff members they need to hire for 20 exhibits.
Answer:
feed them to the lions
Step-by-step explanation:
rawr
please i really really need help BRAIBLIST ASAP
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
Answer:
[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
I guess you want the value of n
-----------------------------------------------------------
Since n is the index of q, you can simply
ignore all p and r stuff and make it
[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]
[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]
2 + n = 5
n = 3
Please Help!!! :( I don't understand
Answer:
Step-by-step explanation:
You would do
4×18.5 =74
2×6.75 =13.5
14×7/8 =12.25
Add all that up and it equals 99.75lbs/pounds
Which graph shows a line with a slope of 3?
Answer:
The first graph shows a slope of 3.
Step-by-step explanation:
If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.
Please draw it on your paper or something and show it
Answer:
Parallel lines are line AB and line CD
and line BC and line AD
Step-by-step explanation:
(notation wise, put a line on top of the letters to show it is a line segment)
drawing shown below
please give thanks by clicking the heart button :)
One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?
Answer:
12 hours
Step-by-step explanation:
1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.
$265.60 / 16 hours = $16.60/hr
2. Now, divide the new amount earned by her hourly wages (16.60)
199.20/16.60 = 12 hours
10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm
Step-by-step explanation:
Area of triangle = 0.5(4)(8) = 16cm² (D).
Linear equations
Show your work
Solve for x
x-4/y+2 = 5
Answer:
X-4\y+2=5 + -34(987)=10,111
Step-by-step explanation:
Add that at the top plus your answer you got then you got it
An 8 inch long diagonal in a rectangle makes an angle of 22 with a length of the rectangle. What is the length of the rectangle to the nearest tenth?
Wall-mart had a laptop for $500. Best Buy was selling the same laptop for 15% more. What is price of the laptop at Best Buy?
Answer:
575
Step-by-step explanation:
15% of 500 = 75
500 + 75 = 575
Answer:
$425
Step-by-step explanation:
500*0.15=75
500-75=524
-3/7 × - 1 2/3
what is the answer
Answer:
[tex]\boxed{\frac{5}{7} }[/tex]
Step-by-step explanation:
[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]
[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]
[tex]= \frac{5}{7}[/tex]
Answer:
5/7
Step-by-step explanation:
do you get the answer?
PLEASE HELP!
Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.
Answer: 102
Step by Step Explanation:
5y+11=8y-13
-8 -8y
-3y+11=-13
-11 -11
3y = -24 = 8 y=8
3y 3y
5(8)+11=51
Multiple 51 times 2 and you're answer will be the following.
Last years' survey of blood type on 100 Ethiopian servals that 20 peoples have blood type A, 30 peoples have type B, 40 peoples have type O and the remaining have type AB. What is the probability of getting an Ethiopian with blood type A and AB?
Answer:
30%.
Step-by-step explanation:
The probability of getting an Ethiopian with blood type A is [tex]\frac{20}{100} \cdot 100%%[/tex], which equals to 20%, while the probability of getting an Ethiopian with blood type AB is [tex]\frac{100-40-30-20}{100} \cdot 100%[/tex], which equals to [tex]\frac{10}{100} \cdot 100%[/tex] and hence 10%. Therefore, just add the two probabilities together to get 20% +10% = 30%.
Hope this helped!
What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?
Answer:
V = 100.531 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²hStep-by-step explanation:
Step 1: Define Variables
r = 2 cm
h = 8 cm
Step 2: Find Volume
Substitute [Volume]: V = π(2 cm)²(8 cm)Exponents: V = π(4 cm²)(8 cm)Multiply: V = π(32 cm³)Multiply: V = 100.531 cm³