Using the Poisson distribution, it is found that there is a 0.8647 = 86.47% probability of at least one flaw appearing in 300 square feet.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Flaws in a certain type of drapery material appear on the average of one in 150 square feet, hence, considering 300 square feet, the mean is of:
[tex]\mu = \frac{300}{150} \times 1 = 2[/tex]
The probability of at least one flaw appearing in 300 square feet is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1353[/tex]
Then:
[tex]P(X \geq 1) = 1 - 0.1353 = 0.8647[/tex]
0.8647 = 86.47% probability of at least one flaw appearing in 300 square feet.
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
Someone, please help
and instead of 10yd its 30yd
and instead of 20yd its 60yd
Anyone know how to solve this. I got 4 but wasn’t correct
Answer:
12
Step-by-step explanation:
What is the solution to the system of equations below?
Answer:
(9,3)
Step-by-step explanation:
Answer:
x=9,y=3
Step-by-step explanation:
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
I NEED A STEP BY STEP
someone help please:
find the value of x
2x - 2 = 4x + 6
Answer:
or, 2x=4x+8
or, -2x=8
or, x=-4
Given Equation :-
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow 2x -2 = 4x +6} [/tex]
Let's overturn the equation –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4x +6 = 2x -2 [/tex]
Subtract 2x from both side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x = 2x -2 -2x[/tex]
Cancel 2x from right side & also simplify this equation
[tex]\qquad[/tex][tex] \sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 = -2 [/tex]
Now, subtract 6 from both side
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +6 -6 = -2-6[/tex]
Once again, cancel 6 from left side –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6[/tex]
On simplification –
[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = -8[/tex]
Now, divide both sides by 2
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{2x}{2} = \dfrac{-8}{2}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{\cancel{2}x}{\cancel{2}} =\cancel{ \dfrac{-8}{2}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = -4} [/tex]
Henceforth, value of x is -4.How much would it cost for Mr. John to replace the tile in his kitchen if the cost for the tile is $1.50 per square foot? (Think about what shape the kitchen is to find the area of it)
Answer:
214.50
Step-by-step explanation:
A = lw
13 x 11 = 143 (13 is a guess)
143 x 1.50 = 214.50
im not 100 % but give it a try
hope this helps
pls mark brainliest
Please help FACTORING POLYNOMIALS USING GCF like can you at least explain how to
Answer:
HOW TO:
GIVEN A POLYNOMIAL EXPRESSION, FACTOR OUT THE GREATEST COMMON FACTOR.
Identify the GCF of the coefficients.Identify the GCF of the variables.Combine to find the GCF of the expression.Determine what the GCF needs to be multiplied by to obtain each term in the expression.Write the factored expression as the product of the GCF and the sum of the terms we need to multiply by.Divide using long division
pls show work
4x^3+8x^2-9x+18/2x+3
there you go the steps and then the solution
Solve the inequality. Graph and check your solutions.
y-2>-17
y>___ (Simplify your answer.)
Answer:
I am sorry just today we start this lesson
Si 4 x – 2 y = 6, entonces y =
Answer:
y = 6 - 4x ➗ -2
Step-by-step explanation:
4x - 2y = 6
-2y = 6 - 4
y = 6 - 4x
If a local coffee shop serves 12 customers in 36 minutes, how fast does it serve its customers?
A. 1 minute per customer
B. 2 minutes per customer
C. 3 minutes per customer
D. 2.5 minutes per customer
Please help! Explain the best you can! :) Thanks!
Answer:
55°
Step-by-step explanation:
x+x-20=90[Complementary angle]
or, 2x-20=90
or, 2x=90+20
or, 2x=110
or, x=110/2
x=55°
All of the following are equivalent, except _____.
2 x + x
x(2 + 1)
3 x
2 x²
your friend solved the equation 4x+24-2=7(4x+2) and got x=16. what error did your friend make? what is the correct solution?
Answer:
the correct answer is 3
Step-by-step explanation:
4x+24-2=7(4x+2)
4x+22=7*4x+2*7
4x+22=28x+14
4x-28x=14-22
-24x=-8
24x=8
x=3
John is planning for retirement and wants to have an interest income of $3000 a year. How much Must he invest for one year at 8% interest
Answer:
240
Step-by-step explanation:
PLEASE ANSWER FOR MY SISTER
Answer:
3/5 < 3/3
Step-by-step explanation:
3/3 = 1 whole (1)
3/5 = 0.6
Can yall help
Subtract the sum of the first three prime numbers from the square of 5.
Thanks
(5X5) - (2+3+5)
25- 10
=15
Please mark as Brainliest!
Write the equation in Slope-Intercept form of the line that goes through the point
(3, 12) and has a Slope of 5.
Could someone help me with this please
Answer:
y = 5x + 12
Step-by-step explanation:
=
Гу
Which function represents g(x), a reflection of f(x) = {
(3) across the y-axis?
90
f
4
2
1
O g(x) = 2(3)
O g(x) = -2(3x
o g(x) = {(3*
O g(x) = 2(3)*
-2
-3
Next
Submit
Mark this and return
Answer:
4th answer I believe
hope this helps
KINDA NEED THE ANSWERS ASAP: In the linear function f(x)=-x+1, is the function increasing, decreasing or constant?
Tommorow in Orlando, Florida, the temp. will drop by 3 degrees every hour for the next 10 hours. If it is currently 75 degrees, what temp. will it be after 5 hours from now?
what is the y intercept of the standard form of the linear equation 2y+4x=8?
what is the rate of change in the standard linear form of the equation 3y+6x=12?
If you save $5 each week and you add it to your starting savings of $10, how many weeks do you have to save in order to reach $100?
A pool is filled with 4000 gallons of water. you can drainbthe pool at 100 gallons per hour. how long before the pool is empty?
Answer:
down below
Step-by-step explanation:
1) when x is increasing, the function is decreasing
2)
The wording is a bit weird and I think the "for the next 10 hours." is extra infomation. so 3*5=15 degress dropped. 75-15=60
3) when it is the y intercept, x is equal to 0
2y=8
x=4
(0,4) is the y-intercept
4)
divide the equation by 3
y+2x=2
so the points are like (0,4), (1,2), (2,0)
You could figure out the rate of change
5)1
0+5x=100
5x=90
x=18
18 weeks
btw x are weeks
6)
4000/100=40 hours.
proportions in similar triangles. need help
Answer:
x = 6
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally:
(6x -1)/42 = (10x +5)/78
13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)
78x -13 = 70x +35 . . . . . eliminate parentheses
8x = 48 . . . . . . . . . . . . . . add 13-70x
x = 6 . . . . . . . . . . . divide by 8
_____
Additional comment
The unknown segment lengths are ...
6·6 -1 = 35
10·6 +5 = 65
Then the ratios to the known sides are ...
35/42 = 65/78 = 5/6
Factor each expression. 81y + 54
your answer is....
27(3y+2)
Select all of the ratios that are equivalent to 1:5
8 to 40
5 to 20
6:30
3/20
2/9
2/10
Please hurry!!!
Answer:
8 to 40
6:30
2/10
Step-by-step explanation:
To check if this is the answer you can multiply the first number of each of these ratios by 5. (We multiply them by five because it is the second number in the ratio 1:5)
8 times 5 equals 40 -so this one is right
6 times 5 equals 30 -yep this one is right too
2 times 5 equals 10 -yeperdoodle
Yeah..so these are the answers! let me know if this helps you out.
All rations equivalent to 1:5:
~6:30
~2/10
~8 to 40
Hopefully this helped-have a good day)
Finding Conterminal Angels:
Answer:
106°
Explanation:
(360*3) -974 = 106°
Endless extra value's:
Positive coterminal angles: 106°, 466°, 826°, 1186°, 1546°...
Negative coterminal angles: -254°, -614°, -974°, -1334°...
But here the range is only from 0° ≤ ∅ < 360°, so only 106° is applicable.
Really need answer for this question ASAP, please someone help me!
Answer:
i think the answer is 11.
Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which equation shows the variance for the number of miles Fiona biked last week? s squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 6 EndFraction Sigma = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction EndRoot s = StartRoot StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 4 EndFraction EndRoot Sigma squared = StartFraction (4 minus 6) squared (7 minus 6) squared (4 minus 6) squared (10 minus 6) squared (5 minus 6) squared Over 5 EndFraction.
Variance is average of squared error of observations from mean. The variance of given data is 5.2
How to calculate variance of a given data set?Variance is average of squared error of observations from mean.
If the data set is composed of n elements,its ith element is [tex]x_i[/tex] , and mean of the data set is [tex]\overline{x}[/tex] ,then its variance is given as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2[/tex]
The given data set is 4,7,4,10,5
Thus, n = 5 (total 5 observations (data values) )
Their mean is [tex]\overline{x} = 6[/tex] (it is taken as 'm', but for ease with formula, take it as [tex]\overline{x}[/tex] )
Thus, their variance is calculated as:
[tex]\sigma^2 = \dfrac{1}{n} \sum_{i=1}^n(x_i-\overline{x})^2 \\\\\sigma^2 = \dfrac{(4-6)^2 + (7-6)^2 + (4-6)^2 + (10-6)^2 +(5 - 6)^2}{5} \\\\\sigma^2 = \dfrac{4 + 1 + 4 + 16 + 1}{5} = \dfrac{26}{5} = 5.2[/tex]
Thus,
The variance of given data is 5.2
Learn more about variance here:
https://brainly.com/question/3699980
Answer:
d
Step-by-step explanation:
Which model represents this word problem?
Pablo read 7 pages of his book. There are 13 pages left. How many total pages are in his book?
HELPP IM TRYING TO HELP MY FRIEND !! :((((
i think its the first one but im scared to hit it
it is the first one
Step-by-step explanation:
because I used my brain and its correct
Answer:
the first one is correct i believe
Find the value of ‘k’ if x+1 is a factor of the polynomial
2 − √2 + 1
Answer:
[tex]3-\sqrt{2[/tex]
Step-by-step explanation:
The equation for the pH of a substance is pH = –log[H ], where H is the concentration of hydrogen ions. Which equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7. 2?.
Equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
What is pH value?The pH value is the measurement of the water, as it is acidic or basic in nature and amount of it. If the value of pH value is more than 7, the water is basic in nature and if less than 7, the water is acidic.
Given information-
The equation for the pH of a substance is,
[tex]pH = -\log[H^+ ],[/tex]
Here, [tex]H[/tex]hydrogen ions.
The pH value of the solution is 7.2.
The pH value of the solution is given, and the concentration of hydrogen ions has to be find out (in equation model form).
The given equation for pH of the substance is,
[tex]pH = -\log[H^+ ],[/tex]
It can be written as,
[tex]-pH = \log[H^+ ],[/tex]
The pH value of the solution is 7.2. Put the value as,
[tex]-7.2 = \log[H^+ ][/tex]
Rewrite the above equation as,
[tex]\log[H^+ ]=-7.2[/tex]
Using the log property the, above equation can be written as,
[tex][H^+ ]=10^{-7.2}[/tex]
Solve it further as,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
[tex][H^+ ]=6.3095\times10^{-8}[/tex]
Thus, equation models the concentration of hydrogen ions (H ) of a solution whose pH is 7.2 is,
[tex][H^+ ]=\dfrac{1}{10^{7.2}}[/tex]
Learn more about the pH value here;
https://brainly.com/question/1810086
The Stewart family is building a circular swimming pool. If the radius of the pool is 10 feet, What is its circumference?
Use π = 3.14 to solve.
Answer:
62.83
Step-by-step explanation:
C=2πr=2·π·10≈62.83185ft