Answer:
d=3/8-1/4
=1/8
or d=1/2-3/8=1/8
The number of bacterial colonies of a certain type in samples of polluted water has a Poisson distribution with a mean of 3 per cubic centimeter (cm3). (a) If five 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies. (Round your answer to four decimal places.)
Answer:
[tex]P(X\geq 1)= 1 - 0.0497 8 =0.95022[/tex]
Step-by-step explanation:
Step(i):-
Let 'X' be the random variable in Poisson distribution
Mean of the Poisson distribution λ or ∝ = 3 per (cm³)
Given n = 5 samples
[tex]P(X=r) = \frac{e^{-\alpha }\alpha ^{r} }{r!}[/tex]
Step(ii):-
The probability that at least one sample will contain one or more bacterial colonies
P(X≥1) = 1-P(X< 1)
= 1 - P( X=0)
[tex]P(X\geq 1)= 1 - \frac{e^{-\alpha }\alpha ^{r} }{r!}[/tex]
[tex]P(X\geq 1)= 1 - \frac{e^{-3 }3 ^{0} }{0!}[/tex]
[tex]P(X\geq 1)= 1 - 0.0497 8 =0.95022[/tex]
answer? plsssssssssssssss
Answer:
B may be hjjjjjjjjjjjjj
Answer:
the third one to the left
Step-by-step explanation:
I need help ASAP please!! Giving brainliest
Answer:
Step-by-step explanation:
3/4x3=9/4
Answer:
2 1/4
Step-by-step explanation:
3/4+3/4=1 2/4
1 2/4+3/4=2 1/4
Write an expression in terms of x to represent the area of parallelogram PQRS
Answer:
The value of b is 5 if the parallelogram is a rectangle
Step-by-step explanation:
Mathematically, the diagonals of a rectangle are equal in value
Thus, for the given expressions to represent the diagonals of a rectangle, the two must be equal
To get the value of b that makes the two equal, we simply equate the two expressions
We have this as;
10/12(24b/5 - 36/5) = 2/3 (3b + 6)
opening the brackets, we have;
4b - 6 = 2b + 4
4b - 2b = 4 + 6
2b = 10
b = 10/2
b = 5
Please answer this correctly without making mistakes
Answer:
44,000 feet
Step-by-step explanation:
one mile equals 5280 feet so then you take 8 1/3 * 5280 = 44000 feet
-6xyz + 17 xyz - 11 xyz =
Answer:
0
Step-by-step explanation:
xyz(-6-11+17)
xyz(0)
The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.
Request you to finish this please
48 points gained in those 3 days.
Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.
Subtract 220-48.It‘ll be 172.
Add 172 with 96. 172+96=268.
Subtract 268 with how much points the stock market had 3 days ago. 268-220.
Sot eh stock market gained 48 points in 3 days.
An apple falls from a tall branch. Its height in feet x seconds after it falls is given by 40 – 16x2.
After how many seconds will the apple hit the ground?
1.58 seconds
5.8 seconds
3.8 seconds
.98 seconds
Answer:
im not sure to be honest
Step-by-step explanation:
PLS HELP ASAP
is this aa,sas,ss, or neither
Answer:
SAS
Step-by-step explanation:
the right angles are congruent
the pairs of sides are proportional
I NEED HELP PLEASEEEEE
Answer:
Option (3)
Step-by-step explanation:
[tex]\text{tan}(\frac{\theta}{2})=\text{sin}\theta[/tex]
[tex]\text{tan}(\frac{\theta}{2})=2\text{sin}{\frac{\theta}{2}} \text{cos}(\frac{\theta}{2})[/tex]
[tex]\frac{\text{sin}\frac{\theta}{2}}{\text{cos}\frac{\theta}{2}} =2\text{sin}{\frac{\theta}{2}}\text{cos}(\frac{\theta}{2})[/tex]
[tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin\frac{\theta}{2}}=2\text{sin}{\frac{\theta}{2}}\text{cos}^2(\frac{\theta}{2})[/tex][tex]\text{sin}\frac{\theta}{2}=2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})[/tex]
[tex]\text{sin}\frac{\theta}{2}-2\text{sin}{(\frac{\theta}{2})}\text{cos}^2(\frac{\theta}{2})=0[/tex]
[tex]\text{sin}\frac{\theta}{2}[1-2\text{cos}^2(\frac{\theta}{2})]=0[/tex]
[tex]\text{sin}\frac{\theta}{2}=0[/tex] ⇒ [tex]\theta=0[/tex]
[tex]1-2\text{cos}^2(\frac{\theta}{2})=0[/tex]
[tex]\text{cos}(\frac{\theta}{2})=\frac{1}{\sqrt{2}}[/tex]
[tex]\frac{\theta}{2}=\frac{\pi}{4}[/tex]
[tex]\theta=\frac{\pi}{2}[/tex]
Therefore, θ = 0 and [tex]\frac{\pi}{2}[/tex] are the solutions.
Option (3) will be the answer.
What is the range of
f(x) = 3x2^x
At a movie, 80% of the audience members were teenagers. If the number of teenagers at the movie was 56, what was the total number of audience members?
PLS ILL GIVE BRAINLIST TO WHOEVER ANSWERS N YOU DONT HAVE TO DO AN EXPLANATION)
Answer:
ANSWER IS 70!
Step-by-step explanation:
Schuyler spent $208 on a sewing machine to make purses. They spend a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The system below represents this situation. 208 + 10x = y 36x = y How many purses must they sell in order to break even? Blank 1:
Answer:
The answer is 8 purses
Step-by-step explanation:
If we multiply 36 by 8, we get $288. If we multiplied 36 by 8 we must also multiply 10 by 8 because it cost 10 dollars on one purse. So y=10(8)+208, y=288
Answer:
8 is correct.
Step-by-step explanation:
Question 1
Simplify -9(x + 3) + 15x
--
333
24x + 27
0 6x + 27
0 6x – 27
Answer:
-9x-27+15x=6x-27
.....6x-27.…...
Answer:
D: 6x - 27
Step-by-step explanation:
1. Distribute
2. Combine like terms
3. You will get your final answer
-9(x + 3) = -9x - 27
-9(x) = -9x
-9(3) = -27
-9x - 27 + 15x
-9x and 15x are like terms. So add them
-9x + 15x = 6x
So your final answer is 6x - 27.
Hope it helped!
PLS PLSSS HELP PLSSS ASAP
Hope this helps!
Answer:
k<5
Step-by-step explanation:
All you have to do is divide 2 on each side.
2k < 10
/2 /2
k < 5
I hope this helps, and have a great day! :)
help me with find the slope PLEASEEEE I NEED HELPP
Answer:
y=-1
x=-3
Step-by-step explanation:
In one week, the Tokyo stock market went down from 1836 to 1609. What was the percent of decrease to the nearest whole percent? A. 88% B. 14% C. 12% D. 1%
Answer:
c.
Step-by-step explanation:
Write an equation of the line that passes through a pair of points:
(-3, 1), (-2, -5)
a. y = 6x - 17
b. y = -6x - 17
c. y = - 6x + 17
d. y = - 6x + 1/17
Please help I’m so close to passing math
Answer:
It would cost $21.84
Step-by-step explanation:
Becasue you first figure out how much one book mark cost and one costs 0.78. Then you just multiply 0.78 by 28(total amount of classmates.) Hope that helps:)
The product of Vidya's savings and 9 is 126.
PLEASE HELP!!!
Janet buys 12 pencils
for $1.49. What is the
cost per pencil?
Answer:
About 0.12 dollars
Step-by-step explanation:
1.49/12 = 0.12416666666/1
About 0.12 dollars
Answer:
0•1254$ per pencil
Step-by-step explanation:
method 1
12 pencils = 1•49$
1 pencil = X ( unknown)
cross multiply
12x = 1•49$
divide both sides by 12x
X = 0•124$ per pencil
Method 2
you can simply divide the price of the pencils = 1•49$
by the number of pencils bought = 12
1•49/12
= 0•124$
25 points pls help this is really hard
1) Johnny The Fat Kid has 10 apples, He gives 2 apples to both of his friends (2).
How many apples does Johnny The Fat Kid have now?
2) With the remaining apples Johnny has, he eats 1 apple and then gives away 3 apples to charity. Because Johnny is so nice to charity, he revieves 8 apples back.
How many apples does Johnny The Fat Kid have in total? (Now)
Answer:
10
Step-by-step explanation:
you do step by step math and after you do that you will get 10
Answer:
10
Step-by-step explanation:
Please help me answer this
Explain you’re answer
Will give braisnlt
Answer: b
Step-by-step explanation:
Question 4
Solve for x. Round your answer to two decimal places. Do NOT include x= in your final
answer
10
х
30°
The value of x is 20.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 30 = 10 / x ______(10
We know that,
Sin 30 = 1/2 _____(2)
So,
Substituting (2) in (1).
1/2 = 10/x
x = 10 x 2
x = 20
Thus,
The value of x is 20.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ7
Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:
Step-by-step explanation:
36/100=0.36 - 1%
8*0.36=2.88$
chase has $4.00 I'm his pocket this is 10% monthly allowance what is his monthly allowance?
help me pleas I'm stuck
[tex]\sf{Hello!}\\-\\To~find~the~volume~of~a~rectangular~prism~use~this~formula:\\*Volume=lwh\\* Volume=17*18*4\\=\boxed{\sf{1224}}\\-[/tex]
Look at the diagram. Which of the following is another name 22?
с.
А
D
1/2
B
Answer:
i think another name for angel 2 is CBD or DBC i ain't sure
Step-by-step explanation:
Find the cross products 1/2 = x/8
Answer:(4)
Step-by-step explanation:
1/2=x/8 cross multiply and you come up with 8 divided by 2 = 4
Please Help Me ASAP!
Answer:
The line '10x-8=10' should be '10x-8=4x+10'
He took 2x away on the right side , as opposed to adding it.
Answer:
Thank you for the point
Step-by-step explanation:
I am just doing this for points Sorry