Hits on a personal website occur quite infrequently. They occur randomly and independently with an average of five per week. Required:
a. Find the probability that the site gets 10 or more hits in a week. Please give the answer to four decimal places. b. Determine the probability that the site gets 20 or more hits in 2 weeks. Please give the answer to four decimal places.
Answers
A. The probability of getting 10 or more hits in a week is approximately 0.0131 using the Poisson distribution. B.The probability of getting 20 or more hits in 2 weeks is approximately 0.0175 using the Poisson distribution.
a. The probability that the site gets 10 or more hits in a week is approximately 0.0131.
To calculate this probability, we can use the Poisson distribution, which is commonly used to model the number of events that occur in a fixed interval of time when the events are rare and independent. In this case, the average number of hits per week is given as 5.
Let X be the random variable representing the number of hits in a week. The probability of getting 10 or more hits can be calculated as the complement of the probability of getting less than 10 hits.
Using the Poisson distribution formula, the probability mass function is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
Where λ is the average number of hits per week, and k is the desired number of hits.
To calculate the probability of getting less than 10 hits, we sum the probabilities for k = 0 to 9:
P(X < 10) = P(X = 0) + P(X = 1) + ... + P(X = 9)
Using the formula, we substitute λ = 5 and calculate the individual probabilities. Finally, we subtract this sum from 1 to find the probability of getting 10 or more hits:
P(X ≥ 10) = 1 - P(X < 10)
Evaluating this expression, we find that the probability is approximately 0.0131.
b. The probability that the site gets 20 or more hits in 2 weeks is approximately 0.0175.
To calculate this probability, we need to consider the number of hits over a two-week period. The average number of hits per week is still 5, so the average number of hits over two weeks is 10.
Let Y be the random variable representing the number of hits in two weeks. We can again use the Poisson distribution, but this time with λ = 10.
Similar to part a, we calculate the probability of getting less than 20 hits over two weeks:
P(Y < 20) = P(Y = 0) + P(Y = 1) + ... + P(Y = 19)
Using the Poisson distribution formula with λ = 10, we evaluate this sum. Finally, we subtract this sum from 1 to find the probability of getting 20 or more hits:
P(Y ≥ 20) = 1 - P(Y < 20)
Evaluating this expression, we find that the probability is approximately 0.0175.
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Related Questions
Explain how the parts of this body system work for Hussein to feel the icy-cold drink. After identifying the body system, explain what other possible scenarios is that body system used for.
Answers
Answer:
The ice cold drink can freez hussain brain
Step-by-step explanation:
a library has 2500 books.40% of the books are fiction.How many books are not fiction books
Answers
A library has 2500 books.40% of the books are fiction, number of not fiction books are 1500.
A percentage is a relative figure that represents one tenth of a quantity. Since one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
Total amount of book in library are 2500 ,
Out of that 40% are fiction so the number of the non fiction books are 60%
so 60% of 2500 will give us the value of non fiction books,
Number of non fiction = 2500 x 60%
= 2500 x 60/100
= 25 x 60
= 1500
Therefore, Number of non fiction books are 1500.
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C = c0 + c1YD T = t0 + t1Y YD = Y – T
G and I are both constant. Assume that t1 is between 0 and 1.
Solve for taxes in equilibrium.
Suppose that the government starts with a balanced budget and that there is a drop in c0.
What happens to Y? What happens to taxes?
Suppose that the government cuts spending in order to keep the budget balanced. What will be the effect on Y? Does the cut in spending required to balance the budget counteract or reinforce the effect of the drop in c0 on output? (Don’t do the algebra. Use your intuition and give the answer in words.)
Answers
To solve for taxes in equilibrium, we can start by substituting the given equations into the equation for YD:
YD = Y - T
Since C and T are constant, we can write:
YD = (c0 + c1YD) - (t0 + t1Y)
Now, we can rearrange the equation to isolate YD:
YD = c0 + c1YD - t0 - t1Y
Simplifying further:
YD - c1YD = c0 - t0 - t1Y
Factoring out YD:
YD(1 - c1) = c0 - t0 - t1Y
Dividing both sides by (1 - c1):
YD = (c0 - t0 - t1Y) / (1 - c1)
Now, let's analyze the effects of a drop in c0. If c0 decreases, it implies that consumption decreases. As a result, YD will decrease, leading to a decrease in Y. Taxes will also decrease because they are determined by YD.
If the government cuts spending to balance the budget, it will lead to a decrease in G. This decrease in spending will reduce Y and further decrease YD. However, the impact on Y will depend on the magnitude of the cut in spending.
If the cut in spending is significant, it can counteract the decrease in output caused by the drop in c0. On the other hand, if the cut in spending is small, it may reinforce the effect of the drop in c0 on output. The overall effect on Y will depend on the relative magnitudes of the changes in c0 and G.
A drop in c0 will decrease both Y and taxes in equilibrium. If the government cuts spending to balance the budget, the effect on Y will depend on the magnitude of the cut in spending relative to the decrease in c0.
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The cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).
In equilibrium, taxes can be solved using the given equations:
C = c₀ + c₁YD
T = t₀+ t₁Y
YD = Y – T
To find taxes in equilibrium, we need to substitute the value of YD into the equation for taxes:
T = t₀ + t₁YD
Now, let's analyze the impact of a drop in c₀ on output (Y) and taxes (T).
When c₀ decreases, it means that the intercept of the consumption function (C) decreases.
This results in a decrease in consumption at every level of income. As a result, the aggregate demand decreases, leading to a decrease in output (Y).
The decrease in output (Y) leads to a decrease in income and, consequently, a decrease in disposable income (YD).
Since taxes (T) depend on disposable income, a decrease in YD will lead to a decrease in taxes (T).
Next, let's consider the effect of a government spending cut to balance the budget.
When the government cuts spending to balance the budget, it reduces its expenditure (G) without changing its tax revenue (T).
This reduction in government spending decreases aggregate demand, which in turn reduces output (Y).
However, since the government is keeping the budget balanced, the decrease in government spending is offset by the decrease in taxes (T) that occurs as a result of the decrease in output (Y).
Therefore, the cut in spending required to balance the budget counteracts the effect of the drop in c₀ on output (Y).
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what is the general form of the solutions of a linear homogeneous recurrence relation if its characteristic equatino has roots 1,1,1,1,-2,-2,-2,3,3,-4
Answers
If the root 1 has multiplicity 4, -2 has multiplicity 3, 3 has multiplicity 3, and -4 is a single root, then the homogeneous solution has the form
\(\left(C_{1,0}+C_{1,1}n+C_{1,2}n^2+C_{1,3}n^3\right) 1^n \\\\ ~~~~~~~~ + \left(C_{-2,0}+C_{-2,1}n+C_{-2,2}n^2\right) (-2)^n \\\\ ~~~~~~~~ + \left(C_{3,0}+C_{3,1}n\right) 3^n + C_{-4,0} (-4)^n\)
where \(C_{r,i}\) just means the arbitrary constant attached to the \(n^i\) term corresponding to the root \(r\) of the characteristic polynomial.
First to answer correctly gets brainliest
Answers
Answer:
c is the answer
Step-by-step explanation:
just a guess
Answer:
i think its either a or c, but my best guess is c
Step-by-step explanation:
The two triangles shown are similar. Write all the proportions that are true about these two triangles.
Answers
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion, therefore:
\(\begin{gathered} k\cdot AB=A^{\prime}B^{\prime} \\ k\cdot AC=A^{\prime}C^{\prime} \\ k\cdot BC=B^{\prime}C^{\prime} \end{gathered}\)Where:
k = Constant of proportionality
Example:
Let's assume those triangles are similar, then the proportions are given by:
\(\begin{gathered} k\cdot AB=XY \\ k\cdot AC=XZ \\ k\cdot BC=YZ \end{gathered}\)
What is 30 ÷ 2334565
Answers
Answer:
In decimal form: 0.0000128503597
Other formats:
In scientific notation: 1.2850357x\(10^{-5}\)
Answer:
0.0000128504
Step-by-step explanation:
per mycalculator
30÷2,334,565
The golden gate bridge is 2.7 kilometers long. Grace walks across it taking photos. She takes a photo at the beginning and the end of the bridge, and every .3 kilometers along the way. How many photos does she take altogether?
Answers
Answer:bl
7564w
Step-by-step explanation:
u9ytrfgufugugt4g7gf7rgfr47ufu4fjgccfffffeeeeeeeeeeeeeeeeeedftggfdfdcvbg vfrvf
What is the value of b?
Enter your answer in the box.
Answers
for (i = 1; i <= n; i *= 2) { for (j = 1; j <= i; j *= 2) { // 9 assignment instructions }Analyze the following programs and show their time complexity functions and big-O notations. please show big-O proofs.
Answers
The time complexity functions and big-O notations of the program is O(log n)
Let's analyze the time complexity of the code using mathematical terms.
The outer loop runs log n times, where n is the input size, because i doubles in each iteration until it reaches n. Therefore, the time complexity of the outer loop is O(log n).
For each iteration of the outer loop, the inner loop runs log i times. Since i doubles in each iteration of the outer loop, the number of iterations of the inner loop is 1, 2, 4, 8, ..., i.
The total number of iterations of the inner loop is the sum of the geometric series 1 + 2 + 4 + ... + n/2 + n. This series sums up to 2n - 1, which is O(n).
Therefore, the overall time complexity of the code is the product of the time complexity of the outer and inner loops, which is O(n log n).
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∫(−1⋅x 3
+ x 6
4
+ x
4
−2)dx
Answers
Answer:
when X =2/3
Step-by-step explanation:
X =2/3
Maggie reads 1/3 of a book every 3/4 of a Week. How manny books does Maggie read?
Answers
Answer:
4/9
Step-by-step explanation:
If Maggie reads 1/3 of a book in 3/4 weeks, you want to know how many books per week Maggie reads.
Books per weekTo find Maggie's reading rate in books per week, divide books by weeks:
(1/3 book)/(3/4 week) = (1/3)/(3/4) book/week
= (1/3) · (4/3) book/week = 4/9 book per week
Maggie reads 4/9 books per week.
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Are all of the diagonals of a regular polygon congruent?
Answers
Yes, a regular polygon's diagonals are all congruent.
In geometry, a shape's diagonals are its building blocks. In mathematics, a diagonal is a line that connects two solids or polygons whose vertices are not next to one another's edges. In general, a diagonal connects the vertices of a form via sloping or slanting lines. Shapes with lateral sides, edges, and corners are referred to as "diagonals" in this context. Diagonals can be found in curved objects like circles, spheres, cones, and so on.
The diagonals of a square are the segments of lines joining its opposite vertices. A square is made up of two diagonals. The two diagonals of the square are parallel to one another. The diagonals of a square divide one another in half. Each diagonal divides the square into two identical, isosceles right triangles.
Yes all of the diagonal of a regular polygon is congruent , because all sides of regular shape are congurent.
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BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answers
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
6A scale drawing of a house shows a closet with floor dimensions of 4. 4 cm by 3. 2 cm. The scale from
the drawing to the actual closet is 2 cm for every 1 m. What is the actual area of the closet's floor?
Answers
The actual area of the closet's floor is 3.52 square meters.
To find the actual area of the closet's floor, we first need to convert the dimensions from the scale drawing to their actual dimensions.
According to the given scale, 2 cm on the scale drawing represents 1 meter in reality. Thus, to convert the dimensions from the scale drawing to actual dimensions, we need to multiply each dimension by the conversion factor:
Actual length = 4.4 cm × (1 m / 2 cm) = 2.2 m
Actual width = 3.2 cm × (1 m / 2 cm) = 1.6 m
Now that we have the actual dimensions, we can calculate the actual area of the closet's floor:
Actual area = Actual length × Actual width
= 2.2 m × 1.6 m
= 3.52 square meters
Therefore, the actual area of the closet's floor is 3.52 square meters.
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1-Increasinq N, increases the real effect of the independent variable. Select one: True Ealse?
Answers
The statement "Increasing N increases the real effect of the independent variable" is false.
Increasing N, which presumably refers to the sample size or number of observations, does not necessarily increase the real effect of the independent variable. The real effect of the independent variable is determined by the nature of the relationship between the independent and dependent variables, not solely by the sample size.
In statistical analysis, increasing the sample size can lead to more precise and reliable estimates of the effect of the independent variable. With a larger sample size, the estimates of the effect tend to have smaller standard errors and narrower confidence intervals, which indicates more precision.
However, the actual effect of the independent variable remains unchanged.
The real effect of the independent variable is determined by the true relationship between the variables in the population. It is possible to have a strong and meaningful effect of the independent variable even with a small sample size if the relationship is robust.
Conversely, increasing the sample size does not necessarily make a weak or non-existent effect of the independent variable stronger or more significant.
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I’m not sure I need help
Answers
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
Answers
Answer:
132°
Step-by-step explanation:
We use the circle theorem which states that :
Opposite angles in a cyclic quadrilateral add up to 180 .
Now we know that angles ADC and ABC add up to 180. So :
We make an equation and solve for x :
x+(3x-12) = 180
4x-12 = 180
4x = 192
x = 48
Now we substitute the value of x into Angle B :
3(48) -12 =
144 - 12 = 132
Angle B = 132 °
Hope this helped and have a good day
Here are three common ways of writing the position of a harmonic oscillator: x(t)=Acos(ωt−ϕ)
x(t)=x 0
cosωt+ ω
v 0
sinωt
x(t)=c +
e iωt
+c −
e −iωt
In the second expression, it is implicit that you should take the real part. In both expressions, you can assume that ω= k/m
and E= 2
1
mv 2
+ 2
1
kx 2
. Finally, you can assume that all of the symbols represent real numbers, with the exceptions of c +
and c −
, which might be complex. Assume that c ±
take the following forms: c +
=c +,r
+ic +,i
c −
=c −,r
+ic −,i
In other words, we're writing the c coefficients with some simple, common notation for their real and imaginary parts. (a) (4 points) Write the total energy in terms of A and/or ϕ. (b) (8 points) Write the total energy in terms of x 0
and/or v 0
. (c) (12 points) Write the total energy in terms of c +
and/or c .
. Do NOT assume that c +
and c - are real. (Don't assume that they're pure imaginary either.) I will tell you right now that the answer is a bit more complicated than 2
1
(c +
2
+c −
2
). If you get that as your answer then you did something wrong. To see why it's wrong, suppose that c +
and c −
were purely imaginary, i.e. c ±,r
=0. Then the squares would be negative and the total energy of the harmonic oscillator would be negative. Having said what a wrong answer would be, a good way to get the right answer might be to ask yourself "What is the real part of (c +,r
+ic +,i
)(cosωt+isinωt) ?" Maybe you'll also have to ask an analogous question involving c. Also, if you get an expression with something multiplied by cosωt and something else multiplied by sinωt, maybe you can use the results of the previous part. Call one of those somethings x 0
and call the other something v 0
/ω and you're set. (d) (6 points) Write the time-averaged potential energy in terms of each of the following pairs of quantities: - A and ϕ Hint 1: On last week's problem set we worked out the average of A 2
cos 2
(ωt+ϕ). (OK, technically we worked out the average of A 2
cos 2
(kx−ωt+ϕ), but replace ϕ with kx+ϕ and ω with −ω and you have the same thing. And since neither ω nor ϕ show up in answer (as you can verify by consulting the solutions to last week's problem set) the arfwer to last week's problem is perfectly applicable here. Hint 2: The first part will be easy, and you'll see that the time-averaged potential energy is very similar to the time-averaged total energy, just with an extra factor. And once you know the relationship to the total energy, and you know from the previous parts how to write total energy in terms of other variables, well...
Answers
The total energy of a harmonic oscillator can be expressed in terms of the amplitude (A) and phase angle (ϕ) as well as the angular frequency (ω). It is given by the equation E = 1/2 mω²A², where m represents the mass of the oscillator.
How can the total energy be expressed in terms of A and/or ϕ?To express the total energy in terms of A and ϕ, we can use the given expression for the position of the harmonic oscillator: x(t) = Acos(ωt - ϕ).
The total energy (E) can be obtained by substituting x(t) into the expression for energy (E = 1/2 mω²x²).
Squaring x(t) and simplifying, we get x²(t) = A²cos²(ωt - ϕ). Taking the average of this expression over a period (which is 2π/ω), we find the average of cos²(ωt - ϕ) is 1/2. Therefore, the time-averaged energy is given by E = 1/2 mω²A².
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(7+5 + 4 . 13 - 2
Please simplify this expression with all steps thank you
Answers
Answer:
We apply the BODMAS rule
(7+5+4).(13-2)
(16).(11)
=176
Hope was useful
Answer: 62
Step-by-step explanation: 7+5+(4)(13)−2
12+(4)(13)−2
12+52−2
64−2
62
In a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of
A)zero.
B)-1.
C)1.
D)any value.
Answers
a multiple regression model, the error term `e’ is assumed to be a random variable with a mean of is A) zero. This means that in a multiple regression model, the errors are assumed to have a mean of zero. This assumption is necessary to ensure that the model is unbiased and accurate in predicting the outcome variable.
this assumption is that the error term represents the unexplained variation in the outcome variable that is not accounted for by the predictor variables. If the error term had a mean value other than zero, this would indicate that there is a systematic bias or error in the model, which would affect the accuracy of the predictions.
the assumption of a zero mean error term is a critical aspect of multiple regression modeling and helps to ensure that the model is reliable and valid for predicting the outcome variable.
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17. Possible dimensions for a triangle are given below.
I. 5cm, 5cm, 5cm
II. 11cm, 5cm, 7cm
III. 5cm, 2cm, 3cm
IV. 6cm, 8cm, 10cm
Which set can create a triangle?
(A) I only
B. I and II only
C. II and IV only
D. I, II, and IV
Answers
Why does Francisco think that Katie is making the growling noise at first?
Answers
The Noise is actually coming from a real beast, and the situation is much more serious than Francisco initially thought.
In the short story "Katie's Beast," Francisco assumes that Katie is making the growling noise at first because he believes it to be coming from her direction and she is the only person around. Katie and Francisco are walking through the woods together to get to the school bus. Francisco believes Katie is making the growling noise to scare him because she has been known to play practical jokes on him before. He becomes angry and frustrated with her, insisting that she stop making the noise and that he isn't scared.
However, after a while, Francisco realizes that the growling noise is coming from an actual beast, and he becomes frightened. He and Katie take cover behind a tree as they try to figure out how to get away from the beast.
They eventually realize that the beast is injured and in pain, and they come up with a plan to help it by getting the school bus driver to take them to the vet with the beast.
Katie and Francisco's assumptions about the growling noise at the beginning of the story highlight the theme of appearances can be deceiving.
Francisco assumes that the noise is coming from Katie, who he believes to be playing a practical joke.
However, the noise is actually coming from a real beast, and the situation is much more serious than Francisco initially thought.
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solve for x.
2-[x+4(6-x)+16]-10=38-8x
Answers
Exact form is x = 86/11
Mixed number form is x = 7 whole number 9/11
Toby has $70 saved.He is saving $15 more each week.In how many weeks will he have $280 saved to buy the new skateboard he wants?
Answers
Answer:
14 weeks
Step-by-step explanation:
Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:
15x + 70 = 280
To find how many weeks it will take, solve the equation!
15x = 210 Subtract 70 from 280
x = 14 Divide 210 by 15
Therefore, it will take Toby 14 weeks to save up for a new skateboard.
Hope this helps! If you have any questions about my work, please let me know down in the comments!
Plz help I’ll give Brainliest!!!!
URGENT PLZ HURRY!!!!
Answers
Answer:
y= 4 , -4
Step-by-step explanation:
hope i helped
Find the length of the third side. If necessary, round to the nearest tenth.
4
Answers
Answer:
x=2.6
Step-by-step explanation:
We can use the Pythagorean theorem to find the third side
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + x^2 = 4^2 where x is the unknown side
9 + x^2 = 16
Subtract 9 from each side
x^2 = 16-9
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x =2.645751311
Rounding to the nearest tenth
x = 2.6
Answer:
2.65
Step-by-step explanation:
take the length of the third side as x
so,take Pythagoras theorem
4^2=3^2+x^2
16=9+x^2
x^2=16-9
x^2=7
x=√7
x=2.645
x=2.65
If f(x) = 2x + 1 and g(x) = x2 - 2, find f(g(3)).
Answers
Answer:
15
Step-by-step explanation:
g(3)=(3)^2-2=7
f(g(3))=f(7)=2*7+1=15
Answer:
9?
Step-by-step explanation:
f(3*2-2)
=4
then
2*4+1
=9 is the answer
The average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet. the square footage is normally distributed. you randomly select 10 apartments in the town. what is the probability that the mean will be more than 1900 square feet?
Answers
If the average square footage in an apartment in a town is 1,800 square feet with a standard deviation of 120 square feet, the square footage is normally distributed and if you randomly select 10 apartments in the town, then the probability that the mean will be more that 1900 square feet is 0.46%
To find the probability, follow these steps:
We can use the Central Limit Theorem, which states that for large enough sample sizes, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. We can calculate the standard deviation of the sample mean using the formula:Standard deviation of the sample mean = population standard deviation / square root of sample size
In this case, the standard deviation of the sample mean = 120 / √10 ≈ 37.95Next, we need to find the z-score, which measures how many standard deviations the sample mean is from the population mean. The formula for the z-score is:
z = (sample mean - population mean) / standard deviation of the sample mean
In this case, the sample mean is 1900 square feet, the population mean is 1800 square feet, and the standard deviation of the sample mean is 37.95.
z = (1900 - 1800) / 37.95 ≈ 2.64To find the probability that the mean will be more than 1900 square feet, we need to find the area to the right of the z-score of 2.64 in the standard normal distribution table (also known as the z-table).
Using the z-table, we find that the area to the right of 2.64 is approximately 0.0046.
Therefore, the probability that the mean will be more than 1900 square feet is approximately 0.0046, or 0.46%.
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Just need help with this one
Answers
Answer:
perimeter is 20 cm