The mean of the Poisson distribution is found to be 0.1.
How do we calculate?The mean of a Poisson distribution is given by µ, which is the expected number of occurrences in the specified interval.
In our scenario above, µ = 0.1, which means we expect to have 0.1 occurrences in the specified interval.
We use
µ = ΣxP(x),
and ΣxP(x) = sum of the product of each value of x
µ = (0 × 0.9048) + (1 × 0.0905) + (2 × 0.0045) + (3 × 0.0002)
µ = 0 + 0.0905 + 0.009 + 0.0006
µ = 0.1
In conclusion, the mean of the Poisson distribution is 0.1.
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complete question:
The following is a Poisson probability distribution with µ = 0.1. x P(x)
0 0.9048
1 0.0905
2 0.0045
3 0.0002
The mean of the distribution is _____.
PLS HELP! GEOMETRY!!
Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary.
if you're actually willing to help me with my geometry test that would be awesome
Its a win-win!
Surface area of cuboid is = 312 ,With dedication and effort, you can succeed in your geometry test and feel confident about your understanding of the subject.
Surface area of a cuboid is = 2lw + 2lh + 2 hw
where ; l= length
w= width.
h = height
= 2(10×6)+2(10×6)+2(6×6)
=2(60)+2(60)+2(36)
=120+120+72
=312
Geometry can be challenging, but with the right mindset and approach, you can do well. To start, make sure you understand the basic concepts and definitions.
Then, practice solving problems and applying those concepts. Don't be afraid to ask questions or seek help when you need it. Utilize resources such as textbooks, online tutorials, and practice worksheets.
Also, try to relate geometry to real-life situations to make it more interesting and relevant. Remember to take breaks and stay organized to avoid feeling overwhelmed.
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2. Mark Each Statement True Or False. Justify Each Answer. (A) If Limsn=S And Limtn=T, Then Lim(Sntn)=St. (B) If Limsn=+[infinity], Then (Sn) Is Said To Converge To +[infinity]. (C) Given Sequences (Sn) And (Tn) With Sn≤Tn For All N∈N, If Limsn=+[infinity], Then Limtn=+[infinity]. (D) Suppose (Sn) Is A Sequence Such That The Sequence Of Ratios (Sn+1/Sn) Converges To L. If L<1, Then Limsn=0.
(A) The limit product rule for sequences states that if two sequences have limits S and T, respectively, then their product's limit is S * T.
(B) A sequence converges to positive infinity if its limit is positive infinity, indicating unbounded growth as n approaches infinity.
(C) If sequence (sn) grows without bound, and another sequence (tn) is always greater than or equal to (sn), then (tn) also grows without bound.
(D) Convergence of the sequence of ratios (sn+1 / sn) to a value less than 1 implies approaching zero for the sequence (sn), but it does not guarantee that the overall limit of (sn) is zero.
(A) False. The given statement is incorrect. The correct statement should be: If lim(sn) = S and lim(tn) = T, then lim(sn * tn) = S * T. This is known as the limit product rule for sequences. The product of the limits of two convergent sequences is equal to the limit of their product.
(B) True. If lim(sn) = +∞, where +∞ represents positive infinity, then the sequence (sn) is said to converge to +∞. This means that as n approaches infinity, the terms of the sequence (sn) grow without bound.
(C) True. Given sequences (sn) and (tn) such that sn ≤ tn for all n ∈ N, if lim(sn) = +∞, then it follows that lim(tn) = +∞. This is because if the terms of (sn) grow without bound, the terms of (tn), which are always greater than or equal to the terms of (sn), will also grow without bound.
(D) False. The statement is incorrect. If the sequence of ratios (sn+1 / sn) converges to L, where L < 1, it does not imply that lim(sn) = 0. The limit of the ratios approaching a value less than 1 indicates that the terms of the sequence are approaching zero, but it does not guarantee that the overall limit of (sn) is zero.
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What number is 110 of 5019.72?
Answer:
110x5019.2 is equal to 552169.2
Which multiplication equation can be used to explain the solution to 15 :
5 X 3 = 15
x 15 = 3
45 x š = 15
} x 15 = 5
Answer:
5 x 3 = 15
Step-by-step explanation:
x15 = 3 is impossible, because if you multiplied anything by 15 you wouldn't get 3.
Answer:
5x3= 15
Step-by-step explanation:
Question 4 Multiple Choice Worth 1 points)
(04.02 LC)
What is the solution to the following system of equations?
X - 3y = 5
2x + y = 10
(5,0)
(0,5)
(7,0)
(0,7)
Answer:
What do you mean?
Step-by-step explanation:
Answer:
( 5, 0 )Step-by-step explanation:
x - 3y = 5
2x + y = 10 multiply by 3 to eliminate y and solve for x
x - 3y = 5
6x + 3y = 30 then add
7x = 35
simplify:
x = 35 / 7
x = 5
substitute x = 5 back into the eq.2
2x + y = 10
2(5) + y = 10
y = 10 - 10
y = 0
therefore the answer is ( 5, 0 )
In how many ways can the digits in the number 9550000 be arranged
The number 9550000 can be arranged in a total of 8!/(4!4!) = 70 different ways.
What is digits?Digits are numerals or numbers used for counting, measuring, and representing quantities. They are the building blocks of mathematics, and are used to express amounts, relationships, and orders of magnitude. Digits are also used in computers and other digital devices to store and communicate information.
The 8 digits of 9550000 can be arranged using the formula for permutation: nPr = n!/(n-r)!
In this case, n = 8 and r = 8. So, the number of permutations of the 8 digits of 9550000 will be 8!/(8-8)! = 8!/(0!) = 8! = 40320.
However, we need to account for the fact that there are 4 zeros in the number 9550000. To do this, we need to divide the number of permutations by 4! (factorial of 4) to account for the 4 identical digits.
Therefore, the total number of ways the digits in the number 9550000 can be arranged is 40320/4! = 70.
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please help me on this
Answer:
it is 2.66*
Step-by-step explanation:
24 / 9 = 8/3
8/3 = 2.66*
PLS HELP WILL MARK BRAINLIEST
AABC has vertices A(1,3), B(2,5), and C(5,3). What are the coordinates of B' after
the translation by the vector <1,4>? (Give your answer as an ordered pair without spaces.)
Answer:
The coordinates of point B' are (3, 9)
Step-by-step explanation:
If the point (x, y) translated by a vector <a, b>, then its image is (x + a, y + b)
Let us use this rule to solve the question
In Δ ABC
∵ The coordinates of vertex A are (1, 3)
∵ The coordinates of vertex B are (2, 5)
∵ The coordinates of vertex C are (5, 3)
∵ Δ ABC is translated by the vector <1, 4>
→ By using the rule above add the x-coordinate of point B by 1
and the y-coordinate of point B by 4
∴ B' = (2 + 1, 5 + 4)
∴ B' = (3, 9)
∴ The coordinates of point B' are (3, 9)
What is the answer? Please also include step-by-step.
Answer:
61°
Step-by-step explanation:
We have many angles and are asked to find angle number 4.
Looking at the picture, if we take a look at the angle across (mirrored) from 4, we see that it lists being 61 degrees, since that angle is a complete mirror of angle 4. Angle number 4 is 61°
Answer:
the answer is 59
Step-by-step explanation:
a circle is 360 degrees, which means half of a circle is 180. This means the angles that are along ray q must add up to 180. if you add the 2 known angles
60+61
you can subtract that from 180
180 - (60+61)= measure angle 4
180 - 121 = measure angle 4
180 - 121 = 59
Which of these graphs represents a function??
Help ASAP
Answer:
W
Step-by-step explanation:
its not X because a straight line is not a function
Fill in the blank to make the ratios equivalent.
20: 160
1:
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/x=20/160
20x=160
x=8
The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One. Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.
Each adult and child ticket has a different price value.
Felicia’s mom bought a total of 20 tickets for the family.
Each child ticket costs $5.25 and each adult ticket costs $7.75.
Felicia’s mom spent a total of $140 on all of the tickets.
Part A: Create a system of equations, based on the above ticket facts, to help find out how many adults, a, and how many children, c, went to see the movie Rogue One.
Part B: Solve the system of equations, by justifying your work.
Part C: What is the significance of your solution to the system of equations? Also, prove that your answer makes sense in the system of equations.
The linear equations are x + y = 20 and 5.25x + 7.75y = 140. Then the number of child tickets is 6 and the number of adult tickets is 14.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The Pixar Movie Theatre is getting ready to debut the new movie Star Wars: Rogue One.
Felicia’s mom is buying tickets for Felicia’s entire family and must take the following guidelines into consideration.
Each adult and child ticket has a different price value.
Felicia’s mom bought a total of 20 tickets for the family.
Each child ticket costs $5.25 and each adult ticket costs $7.75.
Felicia’s mom spent a total of $140 on all of the tickets.
Let c be the number of child tickets and a be the number of adult tickets. Then we have
c + a = 20 ...1
5.25c + 7.75a = 140 ...2
By solving the equations 1 and 2, we have
c = 6 and a = 14
The number of child tickets is 6 and the number of adult tickets is 14.
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Describe the pattern. Then find the next two terms of the sequence.
99, 88, 77, 66
Answer: The pattern of the sequence is to subtract 11 from the last number.
Step-by-step explanation: The next two terms of the sequence are 55 and 44.
In a family with 7 children, excluding multiple births, what is the probability of having 7 boys? Assume that a girl is as likely as a boy at each birth. Let E be the event that the family has 7 boys, where the sample space S is the set of all possible permutations of girls and boys for 7 children. Find the number of elements in event E, n(E), and the total number of outcomes in the sample space, n(S). n(E) = n(S)=
The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.
To find the probability, we need to calculate n(E) and n(S).
In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.
This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.
Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.
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For the following exercise, solve the quadratic equation by completing the square. 2x^(2)+6x-1=0
The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:
Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.
Move the constant term to the other side of the equation. Add 1 to both sides:
\(2x^2 + 6x = 1\)
Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.
Add the result from step 3 to both sides of the equation:
\(2x^2 + 6x + 9 = 1 + 9\)
Simplifying, we get:
\(2x^2 + 6x + 9 = 10\)
Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)
\((x + 3)^2 = 10\)
Take the square root of both sides:
\(√[(x + 3)^2] = ±√10\)
Simplifying:
\(x + 3 = ±√10\)
Solve for x by subtracting 3 from both sides:
x = -3 ± √10
So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.
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Simplify the ABSOLUTE VALUE of the number
sentence to solve:
| -4 | + | 1 |=
3
5
-5
-3
Answer:
5
Step-by-step explanation:
Every number from the absolute sign will be positive.
518. Coin Change 2
You are given coins of different denominations and a total amount of money. Write a function to compute the number of combinations that make up that amount. You may assume that you have infinite number of each kind of coin.
If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:
dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]
The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.
We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.
Here's the Python code:
def change(amount, coins):
n = len(coins)
dp = [[0] * (amount+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(1, n+1):
dp[i][0] = 1
for j in range(1, amount+1):
dp[i][j] = dp[i-1][j]
if j >= coins[i-1]:
dp[i][j] += dp[i][j-coins[i-1]]
return dp[n][amount]
For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
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What is an equation of a line, in point-stope form that pesses through (1,–7) and has a slope of -2/3
Answer:
C) y+7 = -2/3(x-1)
Step-by-step explanation:
You have to change the signs of the x and y coordinates...
x = 1 is the same as (x-1)
y = -7 is the same a (y+7)
An analysis of the decay of 10 grams of an unstable element over time was completed and is displayed in the computer output.
What is the equation of the least-squares regression line?
A. Element = 2.305 - 0.101 In(Time)
B. In(Element) = 2.305 - 0.101(Time)
C. In(Element) = -0.101 + 2.305(Time)
D. In(Time) = -0.101 + 2.305(Element)
The equation of the least-squared regression line is: In(Element) = 2.305 - 0.101(Time).
What is a regression line?A regression line displays the connection between scattered data points in any set. It shows the relation between the dependent y variable and independent x variables when there is a linear pattern.
According to the given problem,
From the table we can see,
ln(Element) is the dependent variable and Time is the independent variable.
The constant = 2.305,
Time = -0.101
Hence, we can conclude, our least squared regression line will be
In (Element) = 2.305 - 0.101 (Time).
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Find the measure of each interior angle and each exterior angle of a regular nonagon (a nine-sided polygon).
Measure of each interior angle =
x
5
?
Measure of each exterior angle =
Answer:
Interior-140° Exterior-40°
Step-by-step explanation:
The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.
Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.
To get the individual interior angle, you use \(\frac{s}{n}\), with n defined above and s being the sum of interior angles.
Therefore, each angle is \(\frac{1260}{9}\)°, which can be solved to 140°.
The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).
In this case, 180-140=40°.
Each interior angle of a nonagon is 140°, and each exterior angle is 40°.
**This content involves angles of polygons, which you may want to revise. I'm always happy to help!
Circle
M
has points
A
,
B
,
Y
, and
Z
on the circle. Secant lines
X
Z
―
and
X
Y
―
intersect at Point
X
outside the circle. The
m
Z
Y
⌢
=
112
∘
and
m
A
B
⌢
=
2
x
+
3
. The
m
∠
Z
X
Y
=
20
∘
.
Answer: did u find out the answer yet
Step-by-step explanation:
After being struck with a hammer, a gong vibrates 48 vibrations in the first second and in each second thereafter makes 6/7 as many vibrations as in the previous second. Find how many vibrations the gong makes before it stops vibrating.
Answer choices:
a)56
b)346
c)336
d)51
(c) 336, After being struck with a hammer, a gong vibrates 48 vibrations in the first second.
In each second thereafter, it makes 6/7 as many vibrations as in the previous second. To find the total number of vibrations the gong makes before it stops vibrating, you can use the formula for the sum of an infinite geometric series:
Sum = a / (1 - r), where 'a' is the first term and 'r' is the common ratio.
In this case, a = 48 (vibrations in the first second) and r = 6/7 (the fraction of vibrations in each subsequent second).
Sum = 48 / (1 - (6/7))
Sum = 48 / (1/7)
Sum = 48 * 7
Sum = 336
So, the gong makes 336 vibrations before it stops vibrating. The correct answer is (c) 336.
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When graphing the coordinates (2,1) you would....
A. first move two spaces on the x-axis and then up 1 space on the y-axis
B. first move two spaces up on the y-axis and then 1 space over on the x-axis
Answer:
The answer is A :)) hehe.
What is the length of the missing leg in this right triangle?7 mm25 mmO 18 mmO 24 mmO26 mmO 32 mm
ANSWER:
24 mm
EXPLANATION:
Given:
To find:
The length of the missing leg
Let x represent the length of the missing leg
We can go ahead and solve for x using the Pythagorean theorem as sen below;
\(\begin{gathered} 25^2=x^2+7^2 \\ 625=x^2+49 \\ x^2=625-49 \\ x^2=576 \\ x=\sqrt{576} \\ x=24\text{ mm} \end{gathered}\)So the length of the missing leg is 24 mm
How much would you need to invest at 8.75% interest rate compounded daily for 50 years to have $1,000,000 at the end of that time period?
Answer:
You would need to invest $12594.78-------------------------
Given:
Interest rate r = 8.75% or 0.0875,Time t = 50 years,Compound number n = 365,Future amount A = $1000000Find the invested amount P using compound interest equation:
\(A=P(1+r/n)^{nt}\)Substitute to get:
\(1000000=P(1+0.0875/365)^{365*50}\)\(1000000=P(79.398)\)\(P=1000000/79.398\)\(P=12594.78\)A full glass of water can hold 1/6 of a bottle
How many glasses of water can be filled with 3 1/2 of water
Answer:
21
Step-by-step explanation:
Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.
Answer:
21.
Step-by-step explanation:
That would be 3 1/2 divided by 1/6.
= 7/2 / 1/6
= 7/2 * 6
= 42/2
= 21 glasses.
Need help
Having a hard time with this question
and gets 70 points for this
Step-by-step explanation:
According to the Alternate Exterior Angles Theorem, when a transversal cuts two parallel lines, the alternate exterior angles are congruent.
In this scenario, angle ZCXP is an alternate exterior angle with respect to angles ZRYD and ZSYD. Since angle ZRYD is congruent to angle ZSYD, angle ZCXP is also congruent to angle ZRYD.
Therefore, the correct answer is A. ZRYD.
Lenny's goal is to run a total of 18 miles in 4 days the table shows his log for the number of miles he ran on Monday ,Tuesday,Wednesday .how many miles must Lenny run on Thursday to reach his goal?
Answer:
12
Step-by-step explanation:
Luke and Bertha Johnson file jointly. Their dependent son, aged 5, live with all. The Johsons only income was $19,442 from dividends and interest. Which of the following statements is true regarding the earned income credit?
A. The Johnsons cannot claim the credit because their earned income is too high
B. The Johnsons cannot claim the credit because their AGI is too high
C. The Johnsons cannot claim the credit because their investment income is too high
D. The Johnsons cannot claim the credit because their son is too old
The Johnsons cannot claim the earned income credit because their investment income is too high.
The earned income credit is a tax credit designed to provide relief to low-income working individuals and families. To be eligible for the credit, taxpayers must have earned income, such as wages or self-employment income. Investment income, such as dividends and interest, does not count as earned income for the purposes of the earned income credit. In this case, the Johnsons' only income is from dividends and interest, which means they do not have any earned income and therefore cannot claim the credit. It is important to note that the Johnsons' AGI and the age of their son are not relevant factors for determining eligibility for the earned income credit.
Option C is the correct answer of this question.
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Write the expression as a product of polynomials.
a(p-q)+q-p
Answer:
(p-q)(a-1)
Step-by-step explanation:
Hi there!
a(p-q)+q-p
= ap-aq+q-p
= ap-p-aq+q
Factor out p and q
= p(a-1)-q(a-1)
Factor by grouping
= (p-q)(a-1)
I hope this helps!