Using the exponential distribution, it is found that there is a 0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
Exponential distributionThe 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]
In this problem, the mean and the decay parameter are, respectively, given by:
[tex]m = 50, \mu = \frac{1}{50} = 0.02[/tex].
The probability that a randomly selected part will fail in less than 20 hours is given by:
[tex]P(X \leq 20) = 1 - e^{-0.02 \times 20} = 0.3297[/tex]
0.3297 = 32.97% probability that a randomly selected part will fail in less than 20 hours.
More can be learned about the exponential distribution at https://brainly.com/question/18596455
(3,-2) (4,6) what is the slope
[tex]\text{slope} = \dfrac{6-(-2)}{4-3} = \dfrac{6+2}1 = 8[/tex]
I need a little help here
Answer:
24
Step-by-step explanation:
The height of the rectangular prism is 4 units. Each layer is 6 units so 6 x 4 = 24.
PLS HELP ME $!!!!!!!
Step-by-step explanation:
(-1)⁴ - 11 = 1 - 11 = -10
0⁴ -11 = -11
1⁴ - 11 = -10
2⁴ -11 = -3
Can someone please help me? :(
A. 13
B.11
C.7
D.12
Mike walks mile in half an hour. Which of the following represents his walking speed in miles per
hour?
A. 1/2 mph
B. 1/8 mph
C. 8 mph
D. 3/4 mph
Answer:
Step-by-step explanation:
distance = rate [tex]*[/tex] time
1 (mile) = rate [tex]*[/tex] 0.5 (hours)
[tex]1/0.5 =[/tex] rate
rate = 2 mph...
That however is not answer choice. I'm guessing the number in front of the mile didn't copy over. You can use the same method I did, but just plugging in the actual number instead of 1.
Will mark brainlyest!!
Answer:
98
the answer is 98 but I just guessed
angles of circles
I don’t know how to solve circles please help
Answer:
55degrees try it I just wanted to help.
1/2 + 1/2 what is the answer to this problem
Answer:
1 is the answer
Step-by-step explanation:
1/2+1/2 is 2/2 which is equivalent to the number 1!
35, 150, 305, 420, 535, 650 find the last number
Answer:
765
Step-by-step explanation:
each time it is adding 115 to the number before it.
650+115=765
Answer: 8
I hope this helps! :)
Solve the equation 4k=120.
120/4=30
Step-by-step explanation:
answer should be given in m/s
Answer:
1.2 m/s
Step-by-step explanation:
when t = 0, your equation after expanding the brackets will only be 0^2 + 4.3*0 + 4*0.3 = 1.2
55% of what number is 33?
Answer:
18.15
Step-by-step explanation:
55% = 55/100
33 = 33/1
33/1 x 55/100
33 x 55 = 1815
1 x 100 = 100
1815/100 = 18.15
⚠️‼️⚠️ HELPPP PLEASE WILL GIVE POINTS ‼️⚠️⚠️
Answer: m∠MON = 57°
Step-by-step explanation:
The function g has a domain of {-2,0,4,13} and a range of {5,9,15}. Could g be represent by the following relation: {(-2,5), (0,9), (4,15), (13,5)}?
Step-by-step explanation:
yes.
the domain defines the valid x values, the range defines the valid y values.
the given relation assigns every x value exactly one y value.
so, it is a function and could therefore represent g.
Which is the product of 7/9 and 6?
A. 1 4/9
B. 3 7/9
C. 4 2/3
D. 7 5/7
Answer:
C. 4 2/3
Step-by-step explanation:
1) Use this rule: a/b * c = ac/b.
7 * 6/9
2) Simplify 7 * 6 to 42.
42/9
3) Simplify.
14/3
4) Convert to mixed fractin form.
4 2/3
Answer:
The product of 7/9 and 6:
[tex]\\7/9 x 6 \\\\7x6=42\\\\42/9\\4 6/9\\\\4 is the whole number\\6/9 is the fraction that if we remove the 3 from both of us, it gives us the result 2/3\\ The answer is the B \\[/tex]
Step-by-step explanation:
the answer is the B
Because You only had to multiply 6 by 7 and the result, which would be 42 over 9, should be converted to a mixed number, which would be dividing 42 by 9, which is 4, and us over 6, which is four, which is the whole number, and 6 is the numerator and you don't change the nine since it is still the denominator.
Because the 4 is the whole number
And 6/9 is the fraction that if were move the 3 from both of us , it gives us the result is 2/3
So we have 4 2/3
the answer is the B
please help me!! i’ll mark brainliest if you’re correct <3
Answer:
9, 12,15
Step-by-step explanation:
a^2+b^2=c^2
9^2+12^2=15^2
81+144=225
Dafna makes sport jackets. she is paid d dollars per hour , plus a piece rate of p dollars for each jacket .last week she made j jacket in h hours . write an expression for her total earnings .
Cost price is the total amount paid for the jacket while the selling price is the amount they are sold. The expression for her total earning willbe t(d) = hd - jp
Calculating total earningCost price is the total amount paid for the jacket while the selling price is the amount they are sold.
Total earning = Selling price - Cost price
Find the cost priceIf Dafna makes sport jackets and she is paid d dollars per hour, plus a piece rate of p dollars for each jacket.
Cost price = hd
x is the number of hour
Selling price = jp
total earning = hd - jp
Hence the expression for her total earning willbe t(d) = hd - jp
Learn more on functions here: https://brainly.com/question/26857518
#SPJ1
Re-write the quadratic function below in Standard Form
y=8(x+6)(x-2)
Answer:
y = 8x^2 + 32x - 96.
Step-by-step explanation:
y=8(x+6)(x-2)
= 8(x^2 - 2x + 6x - 12)
= 8(x^2 + 4x - 12)
= 8x^2 + 32x - 96.
Find four consecutive odd integers such that if the sum of the first and fourth is multiplied by three, the result
is 12 less than four times the third.
Answer:
-7, -5, -3, -1
Step-by-step explanation:
Let x be the smallest of the four consecutive odd integers. Then the next three consecutive odd integers are x+2, x+4, and x+6. We have:
[tex]3(x + x + 6) = 4(x + 4) - 12[/tex]
[tex]3(2x + 6) = 4(x + 4) - 12[/tex]
[tex]6x + 18 = 4x + 16 - 12[/tex]
[tex]6x + 18 = 4x + 4[/tex]
[tex]2x = - 14[/tex]
[tex]x = - 7[/tex]
So the four consecutive odd integers are -7, -5, -3, and -1.
many persons can ride the elevator if each weighs 45kg?
Answer:
I cannot tell the answer if u don't write the question properly u have to write how much person is in the elevator then only I can calculate
What is the rate of change and y intercept
Answer:
In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
hope this helps if not please let me know :)
Write down the next decimal number. 0,79; 0,76; 0,73; 0,7; ___
Answer:
0.69
Step-by-step explanation:
Hope this helps..
anyone know how to do #14 and #15?????
Answer:
He Melanie , use SOH CAH TOA to remember the trig functions
Step-by-step explanation:
for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.
Use one of the trig functions with H in it b/c you know Hyp is 22, so,
SOH = Sin(Θ)= Opp / Hyp
Sin(45) = Opp / 22
Sin(45) * 22 = Opp
[tex]\sqrt{2}[/tex] / 2 * 22 = opp
11*[tex]\sqrt{2}[/tex] = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y
for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°
Sin(30) = Opp / 24
Sin(30) *24 = Opp
12 = Opp ( Because I know Sin(30) = 1/2 )
Opp is the upright between the two triangles
Use CAH Cos(Θ) = Adj / Hyp
Cos(30) = Adj / 24
Cos(30) * 24 = Adj
[tex]\sqrt{3}[/tex] /2 *24 =Adj
12[tex]\sqrt{3}[/tex] = Adj
Z = 12[tex]\sqrt{3}[/tex] or if you want some decimals 20.7846
Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths
then
Y = 12
You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp
Hyp = [tex]\sqrt{12^{2} +12^{2} }[/tex]
Hyp = [tex]\sqrt{288}[/tex]
hyp = 16.97
X = 16.97
:)
what is the 23rd term in the sequence 10,8,6,4,
Answer:
-34.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 and common difference -2.
nth term = a1 + d(n - 1)
23rd term = 10 - 2(23-1)
= 10 - 44
= -34.
Answer:
-34
Step-by-step explanation:
The sequence starts with 10. Each subsequent term is 2 less than the previous term.
The common difference is -2.
The second term is 10 + (-2) × 1
The third term is 10 + (-2) × 2
The fourth term is 10 + (-2) × 3
Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.
For term n, you get 10 + (-2) × (n - 1).
The 23rd term is:
10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34
A singular painting is 24 inches wide and 20 inches tall without the frame. With the frame, it is 28 inches wide and 24 inches tall. What is the area of the frame not covered by the painting?
Answer: 432
Step-by-step explanation:
28 × 24 = 672
24 × 20 = 240
Difference = 672 - 240
Which polynomial represents the sum below?
Answer:
A
Step-by-step explanation:
Shift the bottom trinomial to where like terms match up where it looks like this.
2x²+5x+4
5x²+8x
To make it easier to understand add a placeholder +0 to the trinomial so everything matches up so it looks
like this.
2x²+5x+4
5x²+8x+0
Finally, add like terms and you should end up with this. 7x²+13x+4
30
find the length of AB.
D 20 C
Show your work
A store sells 4 cans for $11. what is the price of 9 cans?
Answer:
24.75
-------------------------------------------------------------------------------------------------------------
SolveSince the customers pay 11 dollars for 4 cans, first find how much one can costs by dividing the cost of 4 cans by the amount of cans given.
[tex]11 / 4 = 2.75\[/tex]
Now that we know they're paying 2.75$, multiply 2.75 by 9 to find the result.
[tex]2.75 * 9 = 24.75\[/tex]
That said, the answer is 24.75$
Answer:
$ 24 . 75
Step-by-step explanation:
Price PER can = 11 /4
Multiply this for 9 cans
9 * 11/4 =
A group of people gathered to watch a baseball game. While talking, they realized that 12 of
them are Boston Red Sox fans, and 18 of them are fans of other teams.
What is the probability that the favorite team of a randomly selected baseball fan is the
Boston Red Sox?
Write your answer as a fraction or whole number.
P(Boston Red Sox) =
Submit
Answer:
P(Boston Red Sox) = 2/5
Step-by-step explanation:
The probability that the favorite team of a randomly selected baseball fan is the Boston Red Sox can be found by dividing the number of Boston Red Sox fans by the total number of fans.
It's given that there are 12 Boston Red Sox fans and 18 other fans. Therefore the total number of fans is 12 + 18 = 30.
If we divide the number of Boston Red Sox fans by the total number of fans, we get 12/30 = 2/5. Finally, we have P(Boston Red Sox) = 2/5.
Your principal believes that students spend 2 hours on homework each night. However, based on the amount of time you spend on Honors Math 3 you believe it’s more than 2 hours.
What is the null hypothesis and alternative hypothesis to represent this situation?
Answer: The principal believes that students have been taught adequately in class and should not spend too much time on homework since it's meant to be a revision of what they have learnt. However a maths honour 3 students spends thorough time studying and has the understanding that Mathematics is time consuming, hence will think otherwise.
The student feels that maths homework may take the time meant for all other subjects judging by the time he/she dedicates to work.
Step-by-step explanation: