A manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.3 years, and standard deviation of 1.5 years. If you randomly purchase one item, what is the probability it will last longer than 14.075 years? (Round your final answer to 3 places after the decimal point.)
Answers
The probability that a randomly purchased item will last longer than 14.075 years is approximately 0.032 (rounded to three decimal places).
To find the probability, we need to calculate the z-score corresponding to 14.075 years. The z-score formula is given by z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z = (14.075 - 11.3) / 1.5 = 1.85.
Using a standard normal distribution table or a statistical calculator, we can find that the probability of obtaining a z-score greater than 1.85 is approximately 0.0322. Thus, the probability that a randomly purchased item will last longer than 14.075 years is approximately 0.032 (rounded to three decimal places).
For more information on probability visit: brainly.com/question/33189641
#SPJ11
Related Questions
What is 0.617 in fraction form
Answers
Answer:
617/1000
Step-by-step explanation:
61.7% as a percent in case u need it :)
the table shows the height of the sage bush at each of 2 ages. what was the bushes average rate of growth per year during this time period. pls answer quick
Answers
Answer:
2.4 inches a year
Step-by-step explanation:
It took 5 years for the bush to grow 22 inches, and it went up by 12 inches in 5 years. So, the easiest thing to do is 12 / 5 = 2.4 inches a year. :)
(Brainliest ??)
A small software company will bid on a major contract. It anticipates a profit of $10,000 if it gets it, but thinks there is only a 40% chance of that happening. a) What's the expected profit? b) Find the standard deviation for the profit. a) The expected profit is $ (Round to the nearest dollar as needed.) b) The standard deviation is $ (Round to the nearest dollar as needed.)
Answers
a)The expected profit is $4,000. b)The standard deviation for the profit is approximately $4,898.98.
a) To calculate the expected profit, we multiply the profit by the probability of it happening:
Expected profit = Profit * Probability
Given:
Profit = $10,000
Probability = 40% = 0.4
Expected profit = $10,000 * 0.4 = $4,000
Therefore, the expected profit is $4,000.
b) To find the standard deviation for the profit, we need more information about the probability distribution of the profit. If we assume that the profit follows a Bernoulli distribution (with only two possible outcomes: getting the contract or not), we can calculate the standard deviation using the formula:
Standard deviation = √(Probability * (1 - Probability) * Profit^2)
Given:
Profit = $10,000
Probability = 40% = 0.4
Standard deviation = √\((0.4 * (1 - 0.4) * $10,000^2)\)
= √(0.4 * 0.6 * $100,000,000)
= √(24,000,000)
≈ $4,898.98
Therefore, the standard deviation for the profit is approximately $4,898.98.
Learn more about the standard deviation visit:
brainly.com/question/475676
#SPJ4
What is the cube root of 512m^12n^15
Answers
What is the area of the polygon given below?
Answers
Answer:
C, which is 340!
Step-by-step explanation:
Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)
The area of polygon = 340 square units.
How to estimate the area of the polygon?Area of rectangle = Length \(\times\) \(\tmes\)breadth
Area of rectangle (side A) = 19 \(\times\) 4 = 76
Area of rectangle (Side B) = 24 \(\times\) 14 = 264
To estimate the area of the polygon, add both of the equations then we get
Area of the polygon
= Area of a rectangle (side A) + Area of a rectangle (Side B)
= 76 + 264
Area of the polygon = 340 square units.
Therefore, the correct answer is option C. 340 square units.
To learn more about polygon
https://brainly.com/question/20110859
#SPJ2
Ronnie read a total of 30 books over 15 months. If Ronnie has read 48 books so far, how many months has he been with his book club?
Answers
Answer:
24 Months
Step-by-step explanation:
First you need to know how many books Ronnie read each month. 30 ÷ 15 = 2
Now you know Ronnie reads 2 books every month for 15 months.
So just take 48 ÷ 2 = 24
You take 48 because that's the total number of books so far and you divide it by 2, because he reads 2 books every month. That gives you a total of 24 months he has been with his book club.
The function of f is such that f(x)=(x-4)^2 for all values of x
find f(1)
Answers
Answer:
f(1) = 9
Step-by-step explanation:
f(x)=(x-4)^2
Find f(1) means let x =1.
f(1)=(1-4)^2
= (-3)^2
= 9
Answer:
f ( 1 ) = 9
Step-by-step explanation:
To find f(1), we substitute x = 1 into the function f(x) = ( x - 4 )²
f ( 1 ) = ( 1 - 4 )²
f ( 1 ) = ( -3 )²
f ( 1 ) = 9
Therefore, f ( 1 ) = 9.
Write a possible equation for a cosine function that has a maximum point at (1, 11) and a minimum point at (8, 3).
Answers
M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.
How do you find the maximum and minimum of a cosine function?The sine and cosine functions are graphed; to find the values of the sine and cosine functions for a variety of various degrees of angles, use a calculator, computer, or a collection of trigonometry tables (or radian).Because the sine and cosine functions have periods of 2, the patterns are continually repeated to the left and right.The sine and cosine functions can have a number of additional terms and factors added to them, changing how they look.The graph of the sine functions can be vertically shifted by adding the extra term A to the equation y = A + sin x. The sine function can have different amplitudes because to the additional element B in the equation y = B sin x. The graph's highest and minimum values, or one half of those values, make up the amplitude, or | B |, which is the maximum deviation from the x-axis. Both y = A + B sin x and y = A + B cos x are produced by combining these values. The minimum and maximum values for these two functions are specified by the following formulas. M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value.If either cos x or sin x is equal to 1, this minimum will be reached.Example :
Draw the y = 1 + 2 sin x function on a graph. Which values represent the function's maximum and minimum?1 + 2 = 3 is the highest possible value. 1 + 2 = 1 is the minimum value.To Learn more About sin or cos refer To:
https://brainly.com/question/28160425
#SPJ1
Identify the percent of change as an increase or decrease.
Original: 70
New: 60
Increase? Or
Decrease?
Answers
Answer:
Decrease
Step-by-step explanation:
Number has gone down, therefore it's a decrease.
find the value of x in the following paralleogram
Answers
4x+40=180
4x=140
X=35
If the diagonals of a rhombus measure 32cm and 60cm,what is the perimeter of the rhombus
Answers
The information given can be represented in the diagram below
From the rhombus above, E is the perpendicular bisector of the diagonals AC and BD.
Let BD = 32cm, AC = 60cm (given)
Using Pythagoras theorem,
\(AD^2=AE^2+DE^2\)\(\begin{gathered} AE=\frac{1}{2}\times AC \\ AE=\frac{1}{2}\times60\operatorname{cm} \\ AE=30\operatorname{cm} \end{gathered}\)\(\begin{gathered} DE=\frac{1}{2}\times BD \\ DE=\frac{1}{2}\times32\operatorname{cm} \\ DE=16\operatorname{cm} \end{gathered}\)Using Pythagoras theorem
\(\begin{gathered} AD^2=AE^2+DE^2 \\ AD^2=30^2+16^2 \\ AD^2=900+256 \\ AD^2=1156 \\ AD=\sqrt[]{1156} \\ AD=34\operatorname{cm} \end{gathered}\)The perimeter of the rhombus would be
\(\begin{gathered} P_{\rho\text{mbus}}=AB+BC+CD+AD \\ \text{Note,} \\ AB=BC=CD=AD=34\operatorname{cm} \\ P_{\rho\text{mbus}}=4AD \\ P_{\rho\text{mbus}}=4\times34 \\ P_{\rho\text{mbus}}=136\operatorname{cm} \end{gathered}\)Hence, the perimeter of the given rhombus is 136cm
About plants:
so photosynthesis produces oxygen as a waste product, but then respiration uses oxygen to produce carbon dioxide, so like doesnt that 'cancel' each other out? im confused if plants are actually helpful or not (oxygen wise)
Answers
2) Rolling a single die 33 times, keeping track of the numbers that are rolled. A) Not binomial: the trials are not independent. B) Not binomial: there are more than two outcomes for each trial. C) Not binomial: there are too many trials. D) Procedure results in a binomial distribution
Answers
how many 8-character passwords are there such that the characters are distinct letters (either upper or lower case), in increasing alphabetical order? (e.g., abf himnz)
Answers
If you treat upper- and lower-case differently , you have the following options:
26 upper-case letters
26 lower-case letters
10 digits
You can use any of the these 62 characters in any one of 8 positions, which gives you the following:
628=218,340,105,584,896 unique passwords. That’s over 200 TRILLION possibilities.
You can learn more about this through link below:
https://brainly.com/question/367720#SPJ4
mp rs 700 and sp rs 524 find discount step by step.
Answers
\(\boxed{\sf Discount=CP-SP}\)
\(\\ \sf\longmapsto Discount=700-524\)
\(\\ \sf\longmapsto Discount=176\)
Answer:
cost price(cp)=rs.700
sold price(sp)=rs.524
discount =cp-sp
discount =700-524
discount =rs.176
Martha conducts aerobics three times a week in her home in the first group there are 19 members in the second 22 and the third 14 how many people attend aerobics at Martha’s althougher
Answers
Answer: 55 people attend aerobics at Martha’s altogether
Step-by-step explanation:
Martha conducts aerobics three times a week in her home.
Number of members in first group = 19 members
Number of members in second group = 22 members ; and
Number of members in third group = 14 members
To find the number of people who attended aerobics we have to add the number of members in all tge three groups.
So, number of people who attended aerobics at Martha’s altogether = 19 + 22 + 14 = 55 members
Hope it helps.
Thank you :)
Step-by-step explanation:
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answers
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Give the equation of the line graphed below in slope-intercept form.
Give your answer without spaces. Simplify any fractions as much as possible (example: from 6/8 to 3/4) to an improper fraction or whole number when applicable. Use a / to indicate a fraction. Do not include decimals. Example: y=2/3x+1
Answers
Answer:
y = 5x - 2
Step-by-step explanation:
go with the steps and explanation.
to find slope:
find we have to take two best fit coordinates through which the line is passing : ( 0 , -2 ) , ( -1 , -7 )
secondly find the slope using the formula: \(\frac{y-y1}{x-x1} \)
here y is -7 and y1 is -2 , x is -1 and x1 is 0
\(\frac{-7--2}{-1-0} \)
\(5\) .......this is the slope
then find equation using:
y - y1 = m( x - x1 ) ..............m is the gradient and y and x should be constant
y - -2 = 5 ( x - 0 )
y + 2 = 5x
y = 5x - 2 ......this is our equation in slope intercept form
I need Help ASAP i turn this in tomorrow and i have no Idea how to do it
Answers
Answer:
Give Brianly award plz
trying to rank up
Step-by-step explanation:
9. Start with 900 down cost. Cost increases by 5 each house. Cost is going UP
C = 900 + 5*b
Where C is cost and b is # of bird houses
Answer: 905,910,915,920,925,930,935
10.
Start with owing 500. if u pay BACK 15, you will owe 15 LESS. meaning:
X = 500 - 15*m
where x is amount owing and m is number of months
Answer: 485, 470, 455, 440, 425, 410, 395
11.
starting with 0, u simply add 10 to ur account each week
S = 10*w
where S is savings and w is # of weeks
Answer: 10,20,30,40,50,60,70
12.
Like question 11., you adding 10 but start with $25
S = 25 + 10w
Answer: 35,45,55,65,75,85,95
what is the distance along the unit circle between any two successive 8th roots of 1?
a. π/8
b. π/6
c. π/4
d. π/2
Answers
The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.
To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.
Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.
Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.
Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.
Therefore, the correct answer is option c. π/4.
To know more about circle refer here:
https://brainly.com/question/11987349
#SPJ11
Sally collected 34.9 pounds of cans to recycle and plans to collect 3.3 more pounds each week. Write an equation in slope-intercept form where x represents the number of weeks Sally has been recycling cans, and y represents the total amount recycled.
Answers
Answer:
y = 3.3x + 34.9
Step-by-step explanation:
the slope-intercept form is y = mx + b.
y = total pounds of cans accumulated
m (slope) = pounds of cans collected each week (3.3)
x = # of weeks after sally starts collecting
b (y-intercept) = initial pounds of cans collected (34.9)
so:
y = (pounds per week)(# of weeks) + initial weight
y = 3.3x + 34.9
Which one is it please help
Answers
Answer:
its 4+(-10)
Step-by-step explanation:
i don’t understand this
Answers
Answer:
-1/4
Step-by-step explanation:
you are going back on a number line and since the ones are at the end and its on the negative side it is -1/4
Answer:
-\(\frac{1}{4}\)
Step-by-step explanation:
Look at the tick marks imbetween the whole numbers. There are 4 imbetween each mark. Each one represents 1/4
With that being said, A is representing -\(\frac{1}{4}\)
In 1915 the cost of a dozen eggs was $0.20. Now in 2018, the cost of a dozen eggs is $2.39. What is the percent increase in the price of a dozen eggs, rounded to the nearest whole percent?
Answers
The cost of a dozen eggs has increased from $0.20 in 1915 to $2.39 in 2018. We need to calculate the percent increase in the price of a dozen eggs, rounded to the nearest whole percent.
Therefore, the percent increase in the price of a dozen eggs, rounded to the nearest whole percent, is 1095%.
To calculate the percentage increase in the price of a dozen eggs, we can use the following formula:
Percentage increase = ((New value - Old value) / Old value) x 100%
Substitute the given values in the formula:
Old value = $0.20, New value = $2.39
Percentage increase = ((2.39 - 0.20) / 0.20) x 100%
Percentage increase = (2.19 / 0.20) x 100%
Percentage increase = 10.95 x 100%
Percentage increase = 1095%
Therefore, the percent increase in the price of a dozen eggs, rounded to the nearest whole percent, is 1095%.
To know more about percentage visit
https://brainly.com/question/2724587
#SPJ11
Use simplex algorithm to solve the following Linear Programming model. Clearly state the optimal solution and the values for decision variables you obtained from the optimal tableau.
max=2x1+3x2−x3
s.t.
3x1+x2+x3≤60
2x1+2x2+4x3≤20
4x1+4x2+2x3<=80
x1,x2,x3≥0
Answers
The optimal solution for the given linear programming model is:
max z = 38
when x1 = 5, x2 = 10, x3 = 0
What is the optimal solution obtained from the simplex algorithm?To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.
Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.
After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.
In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.
Learn more about optimal solution
brainly.com/question/30575901
#SPJ11
Carolyn has 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of lavender soap to make gift baskets. She wants to have the same number of each item in every basket. What is the greatest number of baskets she can make without having any of the items leftover?
Answers
Answer:
she can make 6 baskets with the bars of lavender soap 4 baskets with the bottles of shampoo and 7 baskets with the tubes of hand lotion
Step-by-step explanation:
What i the equation for thi cenario
Camille buy 10 ticket for $5
Camille pend $135 at fundraier
=
Answers
The required function formula for Camille buy 10 ticket for $5and spend $135 at fundraiser is S(R) = 85 + 5 R .
Given,
The price of each raffle = $ 5,
⇒ The price of 10 raffle = 10 × 5 = $ 50
Since, her total spending at the fundraiser = Her admission fee + price of raffle she buys,
⇒ Her total spending when she buy 10 raffle = Her admission fee + $ 50
According to the question,
Her admission fee + $ 50 = $ 135
⇒ Her admission fee = 135 - 50 = $ 85
Hence, if she buys R raffle then her spending = 85 + 5 R
Here, S represents her total spending,
⇒ S = 85 + 5 R
Or S(R) = 85 + 5 R
Which is the required function formula.
Given question is incomplete , the complete question is given below:
Camille is attending a fundraiser. she pays for her admission and buys raffle ticket for five dollars each. if she buys 10 raffle tickets then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spent at the fundraiser is the function of R, The number of raffle tickets she buys. write the functions formula.
Learn more about equation formation at:
https://brainly.com/question/21405634
#SPJ1
there are 5 red counters and 3 blue counters in bag A. there are 4 red counters in bag B. Tina takes at random a counter from each bag. what is the probability that Tina takes two blue counters
Answers
Answer:
The probability is 0
Step-by-step explanation:
From the first bag, the total number of counters is 5 + 3 = 8
The probability of taking a blue counter from the first bag is the number of blue counters divided by the total number of counters
Mathematically, we have this as;
3/8
For the second bag, all the counters are red with no blue counter
So the probability of taking a blue counter here is 0
Now, the probability that he takes a blue counter in A and a blue counter in B will
be;
3/8 * 0 = 0
for every dollar there is 100 pennies. think about that.
Answers
Answer:
The answer is 0.01. We assume you are converting between dollar bill and penny. You can view more details on each measurement unit: Dollar or penny The main non-SI unit for U.S. currency is the dollar. 1 dollar is equal to 100 penny. Note that rounding errors may occur, so always check the results.
Step-by-step explanation:
Answer:
Huh? ---
Yea, there are 100 pennies in a dollar....
Julius service charge at the beauty salon what is 72.60 before tax The sales tax rate was 8% if she added 20% of the amount before tax as a tip how much did you pay for service?
Answers
Julia paid a total of $94.07 for the service she received at the salon
What is service tax?Service tax: Service tax is a type of indirect Tax that you are liable to pay to the government once you. The consumer pays the service tax to the service provider while paying the bill (for example, your restaurant bill has a component of service tax). The government in turn collects the tax from the service providers.
Service charge for Julia at a beauty salon = $72.60
The rate of sales tax taken = 8%
Percentage of tips she added to the service charge before sales tax= 20%
Then amount of tips given by Julia = (20/100)x72.60
= (1/5)x72.60
= 14.52 dollars
Then the amount in total paid by Julia before adding service tax =
(72.60 + 14.52) dollars=87.12dollars
Now the sales tax of 8% has to be calculated on the amount of $87.12
Then
Amount of sales tax given by Julia = (8/100)x87.12
= 696.96/100
= 6.969
= 6.97 dollars
So the total amount paid by Julia for the service at the salon =
(87.12 + 6.97) dollars = 94.07 dollars
Julia paid a total of $94.07 for the service received by her at the salon
to learn more about Service tax problems visit:
brainly.com/question/14305053
#SPJ1