Consider a Poisson distribution with a mean of two occurrences per time period. a. Which of the following is the appropriate Poisson probability function for one time period? 1 2 3 - Select your answer - b. What is the expected number of occurrences in three time periods? c. Select the appropriate Poisson probability function to determine the probability of occurrences in three time periods. 1 2 3 - Select your answer - d. Compute the probability of two occurrences in one time period (to 4 decimals). e. Compute the probability of six occurrences in three time periods (to 4 decimals). f. Compute the probability of five occurrences in two time periods (to 4 decimals)
Answer:
F(k) = 2k e-2 / k!
Mean =µ = 2 x 3 = 6
f(k) = 6k e-6 / k!
F(2) = 22 e-2 / 2!
= 0.2707
F(6) = 66 e-6 / 6!
= 0.1606
f(5) = 45 e-4 / 5!
= 0.1563
Step-by-step explanation:
Solution:
Given:
Mean = µ = 2 per time period
Poisson probability:
F(k) = µk e-µ / k!
(a) Poisson probability for one time period.
Put µ = 2 in formula, we get:
F(k) = 2k e-2 / k!
(b) Expected number of occurrence in three time period.
Mean of one time period is multiply with number of time period.
Mean =µ = 2 x 3 = 6
(c) Probability of occurrence in three time period.
Put the value of µ = 6 in the given formula, we get:
f(k) = 6k e-6 / k!
(d) Probability of two occurrences in one time period.
Put k = 2 in given formula:
F(2) = 22 e-2 / 2!
= 0.2707
(e) Probability of six occurrences in three time period.
Put k = 6, in given formula, we get:
F(6) = 66 e-6 / 6!
= 0.1606
(f) Probability of five occurrences in two time period.
Mean of one time period is multiply by the number of time periods.
µ = 2 x 2 = 4
put k = 5 and µ = 4 in formula, we get:
f(5) = 45 e-4 / 5!
= 0.1563
What is the area, I need help? Someone pls help
Answer:
The area of this figure is 106 square meters
Step-by-step explanation:
7*4=28
(10*5)
50+28+28= 106 sq meters
12——4
24——8
36——12
48——
What number complete the sequence
Answer:
I think it's 16
Step-by-step explanation:
your adding 4
What is the scale factor of the reduction?
GIVEING BRAINLY 3
Scale factor
[tex]\\ \rm\rightarrowtail k=\dfrac{y}{x}[/tex]
[tex]\\ \rm\rightarrowtail k=\dfrac{0.5}{2.5}[/tex]
[tex]\\ \rm\rightarrowtail k=\dfrac{1}{5}[/tex]
Please help with this:) 20 points!
Step-by-step explanation:
Here,
[tex]\angle{ADB}[/tex] = [tex]\angle{BDC}[/tex]
⇒4x-23° = 3x-5°
⇒4x-3x=(-5°)+23°
⇒x=18°
.°. x = 18°
Answer:
x = 18°
Step-by-step explanation:
riders must be 48 inches tall to get on a new ride at an amusement park. there are 12 inches in 1 foot. some amusement parks use meters for the minimum height of riders. about how many meters are equivalent to 48 inches?
Answer: Around 1.2 meters
Step-by-step explanation:
Identify the quadratic function(s). (Select all that apply). y(y + 4) - y = 6 (3x + 2) + (6x - 1) = 0 4b(b) = 0 3a - 7 = 2(7a - 3)
Answer:
[A] y(y + 4) - y = 6
[C] 4 b (b)=0
Step-by-step explanation:
First let know what is a quadratic functions(s):
A function is called Quadratic if it consist of only one variable, maximum of three terms, and highest degree of the variable in that Polynomial is 2.
Now let's go through the answer choices:
[A]
y *(y+4) - y =6
y² + 4 y - y -6=0
y²+3 y -6=0
Thus, This is Quadratic Function.
[B]
3 x +2 + 6 x -1=0
9 x-1=0
Thus, This is not Quadratic Function
[C]
4 b*(b)=0
4 b²=0
Thus, This is Quadratic Function.
[D]
3 a- 7 =2 * (7 a-3)
3 a - 7=14 a - 6
3 a - 14 a = 7 -6
-11 a =1
Thus, This is not a Quadratic Function.
Hence, [A] and [C] are quadratic functions.
[RevyBreeze]
‼️‼️3) Brad was going to make
$53.85 a day for 5 days in his
new job. He figured that he
would make about $350.00. Is
this a reasonable answer?
Explain why or why not.‼️
Which Box-and-Whisker Plot below correctly illustrates the data shown below? {22, 24, 24, 25, 26, 26, 27, 28, 28, 30} A. B. C. D.
b i your answer i know it
Step-by-step explanation:
The 3rd Box-and-Whisker Plot correctly depicts the data given.
What is a expression? What is a mathematical equation? What is a box and whisker plot?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles.We have the Box-and-Whisker Plots for the data -
{22, 24, 24, 25, 26, 26, 27, 28, 28, 30} shown in the image.
We can identify the boxplot by the median calculation easily. We can find the median of the given data set as -
[M] = (26 + 26)/2 = (2 x 26)/2 = 26
Therefore, the 3rd Box-and-Whisker Plot correctly depicts the data given.
To solve more questions on Box-and-Whisker Plots, visit the link below
https://brainly.com/question/26963285
#SPJ2
Evaluate the expression 2x2 - y + 3x" for x = 3 and y = 7.
o 14
098
оо
0 12
032
The expression to be evaluated:
➝ 2x² - y + 3xFor,
➙ x = 3➙ y = 7First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.
On putting the values of x and y in the given expression:
ㅤㅤ➝ 2x² - y + 3x
ㅤㅤ➝ 2× ( 3 )² - 7 + 3 × 3
ㅤㅤ➝ ( 2 × 9 ) - 7 + 9
ㅤㅤ➝ 18 - 7 + 9
ㅤㅤ➝ 11 + 9
ㅤㅤ➝ 20
If x – 4y = 6 is a true equation, what would be the value of – 4y + x?
Answer:
6
Step-by-step explanation:
it's basically the same equation just different arrangement
How do I solve 5/9x+ 6=10?
Answer:
x = 36/5, 7 1/5, or 7.2 (all same, just in different form)
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
[tex]\frac{5}{9}x+6-6=10-6[/tex] [tex]\frac{5}{9}x=4[/tex]Step 2: Multiply both sides by 9/5.
[tex]\frac{5}{9}x*\frac{9}{5} =4*\frac{9}{5}[/tex] x = 36/5, 7 1/5, or 7.2Have a lovely rest of your day/night, and good luck with your assignments! ♡
Please help me with this , I hope it's easier.
Hi! I hope you're enjoying your day!
Let's add the following polynomials.
How to add them? Just combine like terms. :)
[tex]\bold{2x^2-10x+1 ~and~x^2+15x-8}[/tex]
[tex]\bold{2x^2+x^2-10x+15x+1-8}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{3x^2+5x-7}}}[/tex]
[tex]\rule{250}{2}[/tex]
[tex]\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\[/tex]
Combine Like terms:
[tex]\bold{2x^3-3x^3-3x^2+5x^2+5+7}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{-x^3+2x^2+12}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
Find the interest on a $6000 loan at 4% for 5 years.
Answer:
6000/1+0.04 power of 5
= 32,269.44
1. Find a markdown of 1/9 on $450?
2. 15 is what percent of 60?
3. 124% of 10 represents a certain number. What is that number?
Step-by-step explanation:
1. 1/9 of 450
of is multiply
1/9 × 450
= ???
2. 15/60 = decimal number
change number to percentage = ???
I dont know what 3 is
put answers to 1 and 2 in comments i will mark if u don't understand comment
please mark brainiest
find the rate of change from the equation y=-7/8x+3
Answer:
-7/8
Step-by-step explanation:
rate of change is the same as slope so -7/8
Answer:
-7/8Step-by-step explanation:
find the rate of change from the equation:
y = -7/8x + 3
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope
x = how far along
b = Y-intercept
so the rate of change is the same as the slope
therefore, the slope = -7/8
1. A room is 5 m by 3m. What is the area of the room?
Answer:
15m2 is the answer my friend.....
Answer:
Step-by-step explanation:
All you would do is multiply the length and the width, so you would multiply 5m by 3m and get 15m as your answer.
What is the answer to
Solve n/4 -8 =-6
can someone answer these questions?
Answer:
The first question I got 1056.25
Step-by-step explanation:
Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
А
The number that is 4 to the left of - 7 on the number line
B
The number that is 4 to the right of - 7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line
Answer:
D the number 7 to the right of -4 on the number line
I need HELP please solve the blank space. It says that it isn’t 100 so I need HELP!!
yeah 5 is 5% of 100 i dunno bro
if anything try .25
sorry
Evaluate
x(y+3)
_____
(3+y)z
for x = 12, y = 1, and z = 6
A.5
B.6
C.8
D.2
Answer:
12(1+3)
6(3+1)
12(4)
6(4)
48
24
answer = 2
What is the answer to 5+{2×[(5−1)+6]}÷4 with no frations
Answer:
15.5
Step-by-step explanation:
5+2x5-1+6/4=15.5
using a calculator this answer is correct.
NO LINKS!!! Solve each triangle. Part 3aa
NOT A MULTIPLE CHOICE!!
1aa. B=10°, C=100°, b= 2
2bb. A= 40°, B= 40°, c= 2
3cc. A= 110°, C= 30°, c= 3
Answer:
Sum of interior angles of a triangle = 180°
Sine rule to find side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
----------------------------------------------------------------------
Question 1aa
Given: B = 10°, C = 100°, b = 2
10° + 100° + A = 180°
⇒ A = 70°
[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]
[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]
[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]
----------------------------------------------------------------------
Question 2bb
Given: A = 40°, B = 40°, c = 2
40° + 40° + C = 180°
⇒ C = 100°
[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]
[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
----------------------------------------------------------------------
Question 1aa
Given: A = 110°, C = 30°, c = 2
110° + 30° + B = 180°
⇒ B = 40°
[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]
[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?
Answer:
Kelsey has 8 plus more entries
8 + x
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
25%, 50%, 12.5%,12.5%
Step-by-step explanation:
6/24
3/24
12/24
3/24
Lily invested $60,000 in an account paying an interest rate of 6 1 2 6 2 1 % compounded continuously. Lydia invested $60,000 in an account paying an interest rate of 6 1 8 6 8 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Lydia's money to triple than for Lily's money to triple?
Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.What is the amount in continuous compounding?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:
[tex]A(t) = Pe^{rt}[/tex]
[tex]3P = Pe^{0.065t}[/tex]
[tex]e^{0.065t} = 3[/tex]
[tex]\ln{e^{0.065t}} = \ln{3}[/tex]
[tex]0.065t = \ln{3}[/tex]
[tex]t = \frac{\ln{3}}{0.065}[/tex]
[tex]t = 16.90[/tex].
For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]
[tex](1.00510416667)^{12t} = 3[/tex]
[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]
[tex]12t\log{(1.00510416667)} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]
[tex]t = 17.98[/tex]
17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.
More can be learned about interest equations at https://brainly.com/question/25781328
what is the answer to 15x+6y
Answer:
x = -0.4y
Step-by-step explanation:
Simplifying
15x + 6y = 0
Solving
15x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
15x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
15x + 0 = 0 + -6y
15x = 0 + -6y
Remove the zero:
15x = -6y
Divide each side by '15'.
x = -0.4y
Which of the following statements are true about the equation below?
22 - 61 + 2 = 0
The solutions are = -3 17
The extreme value is at the point (3,-7).
o o o o o
The graph of the quadratic equation has a maximum value.
The graph of the quadratic equation has a minimum value.
The solutions are = 3 + 17
The extreme value is at the point (7,-3).
Answer:
Option 1, 2, 5 are the correct answer.
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
4[tex]\sqrt{2\\[/tex] or 5.7
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
4[tex]\sqrt{2\\[/tex] or 5.7