Answer:
C
Step-by-step explanation:
Answer:
0.4
Step-by-step explanation:
Need help please ?!!!!!
help with math please it means the world to me!!
Answer:
10 units^2
Step-by-step explanation:
Find ONLY the measure of angle A (just the number): *
20 points
Answer:
360 - 169 equals 191
Step-by-step explanation:
191
Solve −2x−4=3x+1
by graphing.
The solution is x=
Answer: x=-1
Step-by-step explanation:
Can someone help me ?
Answer:
The second one doesn't match.
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 eight 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.) 1 Correct: Your answer is correct. seenKey 1.000 (b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
Answer:
a) 1 = 100% probability that at least one sample will contain one or more bacterial colonies.
b) 1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
Step-by-step explanation:
To solve this question, we need to understand the poisson and the binomial distributions.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a single sample having at least one bacterial colonies.
Poisson distribution with a mean of 3 per cubic centimeter (cm3), which means that [tex]\mu = 3[/tex]
This is:
[tex]P(X \geq 3) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0495[/tex]
[tex]P(X \geq 3) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]
(a) If eight 1 cm3 samples are independently selected from this water, find the probability that at least one sample will contain one or more bacterial colonies.
Multiples samples means that the binomial distribution is used.
0.9505 probability of a sample having at least one colony, which means that [tex]p = 0.9505[/tex]
8 samples means that [tex]n = 8[/tex]
The desired probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.9505)^{0}.(0.0495)^{8} \approx 0[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0 = 1[/tex]
1 = 100% probability that at least one sample will contain one or more bacterial colonies.
(b) How many 1 cm3 samples should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
We have to find [tex]P(X \geq 1)[/tex] for samples of 1,2,3,..., until this probability is 0.95. So
n = 1
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{1,0}.(0.9505)^{0}.(0.0495)^{1} = 0.0495[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0495 = 0.9505[/tex]
0.9505 > 0.95
1 sample should be selected in order to have a probability of approximately 0.95 of seeing at least one bacterial colony
PLEEEEEEEEAAAAAAAASSSSSS HELP MEEEEEEE
Answer:
i guess it is 54-11+7 , the second one
Find the volume of the rectangular prism. 1 ft 2 6 ft 1 3 2 ft The volume is 1
Answer:
31.5 or 31 1/2
Step-by-step explanation:
The formula for volume of a rectangular prism is lwh or length times width times height.
Multiply the numbers and you get 31.5 or 31 1/2
Hint: It is easier to multiply mixed numbers when converting them to decimals. When you are done just convert it back to a fraction if needed. :)
The sum of two consecutive integers is - 163. Find the two integers.
Answer: -100 and -63
Step-by-step explanation: Don't overthink it by trying to divide it.
Answer:
-81, - 82
Step-by-step explanation:
Let the two consecutive integers be x and (x + 1)
According to the given information:
x + (x + 1) = - 163
2x + 1 = - 163
2x =-163 - 1
2x = - 164
x = - 164/2
x = - 82
x + 1 = - 82 + 1 = - 81
Thus, the two consecutive integers are - 81, - 82
Of the 220 tickets available for a school play,45% have been sold. What is the number of tickets that have sold?(pls help due very soon!)
NO LINKS PLEASE and make sure it's correct.
Answer:
the answer is place value
Step-by-step explanation:
Which option best shows X > -8
The answer is on the picture.
For the function f (x) = 8 - x2 evaluate f (-2)
4
12
-32
0
In the manufacturing division of a particular company, there are 68 hourly employees and 30 for salaried employees to employees from the manufacturing division are randomly selected to represent the company and I'm coming conference what is the probability that both employees have the same type of pay structure
WHat is the sum of the rational expressions below 3x+1/2x+7x/x+5
Urgent 35 points !!! What should the radius of
your container be?
Answer:
2.88 inStep-by-step explanation:
Volume formula:
V = 4/3πr³Find r if V = 100 in³:
4/3πr³ = 100πr³ = 100*3/4πr³ =75r³ = 75/3.14r³ = 23.88r = ∛23.88r = 2.88 in (rounded)If Mandy wants to put pictures on the shelf and each picture frame is 8 1/3 in wide,
how many pictures can Mandy put on the 3 3/8 foot shelf?
Answer: 4 frames
Step-by-step explanation:
There are 130 people in a sport centre.
65 people use the gym.
51 people use the swimming pool.
44 people use the track.
15 people use the gym and the pool.
14 people use the pool and the track.
10 people use the gym and the track.
1 person uses all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they
do not use the swimming pool?
Answer:
1/13
Step-by-step explanation:
there are 10 people that use the gym and track and 10 is 1/13 of 130
ANSWER ASAP PLZ BRAINLYIST WILL BE GIVEN IF RIGHT
What is the value of x?
Answer:
8 × [tex]x[/tex] = 12 x 18
8[tex]x[/tex] = 216
[tex]x[/tex] = 27cm
Step-by-step explanation:
I use that formula because they are similar triangles! :)
Hope this helps!
I need help with solving this
Answer:
x=12
.......................
Graph the compound inequality on the number line. x> -7 and x<-3
Answer:
Step-by-step explanation:
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
please help me with this it is about how wide the patio doors will be
9 centimetres is probably most accurate
Answer:
36cm
Step-by-step explanation:
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.
Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:
[tex]A = 4\pi r^2[/tex]
In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:
[tex]A = 4\pi(\frac{d}{2})^2 = \pi d^2[/tex]
Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So
[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that [tex]\frac{dA}{dt} = -3[/tex]
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 10[/tex]. So
[tex]\frac{dA}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-3 = 20\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{3}{20\pi}[/tex]
[tex]\frac{dd}{dt} = -0.0477[/tex]
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
HELP ASAP
Find the distance CD rounded
to the nearest tenth.
C = (4.7) D = (7,11)
CD = [?]
LITT
Answer:
I believe the answer is 5.
Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy dinosaurs left. Four friends estimate how many toy dinosaurs Rex has in each handful. Which estimation is the best?
Answer: 8 dinos
Step-by-step explanation:
there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8
I need help with my homework
Happy Tuesday! Looking for some help with my geometry.
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. This is a multi step question and please answer all five. Show work! Thanks!
Answer:
Q1
cos 59° = x/16x = 16 cos 59°x = 8.24Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)Q3
BC² = AB² - AC²BC = √(37² - 12²) = 35Q4
Let the angle is x
cos x = 19/20x = arccos (19/20)x = 18.2° (rounded)Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9DC = AC sin 65° = 14 sin 65° = 12.7Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²BC = √781.3BC = 28.0 ydAll calculations are rounded
???????????????????????
Answer:
try
Step-by-step explanation:
try solving it on ur own or take a educated guess
A system consists of two components A and B that operate independently. The system
fails when either component fails. The probability that component A fails is 0.2, and
the probability that component B fails is 0.1. What is the probability that the system
fails?
Answer:
0.3
Step-by-step explanation:
When one component fails, so does the other one.
a + b = P
0.1 + 0.2 = 0.3
Your answer would be 0.3 or 30%.
Hope this helps. Have a nice day.