Answer:
0.145
Step-by-step explanation:
Suppose λ = average number of an event occurring in an interval of a presented length; &
x = no. of events occurring in an interval length t
Thus, x has a Poisson distribution with parameter λt.
i.e.
[tex]P[X=k] = \dfrac{(\lambda t)^k\times e^{-\lambda t}}{k!} \ \ \ where; k = 0,1,2 ...[/tex]
Given that:
The average number of call every 8 hours = 11
Then, the parameter for the Poisson process [tex]\lambda =\dfrac{11}{8}[/tex]
where;
t = 2 hours
[tex]\lambda t = \dfrac{11}{8}\times 2[/tex]
[tex]\lambda t = \dfrac{11}{4}[/tex]
Also,
x = no. of calls occurring at an interval of length 2
The required probability is as follows:
P(x > 4) = 1 - [P ( x≤ 4) ]
[tex]=1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ][/tex]
[tex]= 1 - \bigg [ \dfrac{(\dfrac{11}{4})^0 \times e^{-11/4}}{0!}+\dfrac{(\dfrac{11}{4})^1 \times e^{-11/4}}{1!}+ \dfrac{(\dfrac{11}{4})^2 \times e^{-11/4}}{2!}+ \dfrac{(\dfrac{11}{4})^3 \times e^{-11/4}}{3!}+ \dfrac{(\dfrac{11}{4})^4 \times e^{-11/4}}{4!} \bigg ][/tex]
[tex]= 1 - \begin {bmatrix} 1 + \dfrac{11}{4} + \dfrac{\bigg (\dfrac{11}{4}\bigg)^2}{2}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^3}{6}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^4}{24} \end {bmatrix} e^{-11/4}[/tex]
[tex]= 1 - [ 1 + 2.75 + 3.78125 + 3.466145833 + 2.3829] \ e^{-11/4}[/tex]
= 1 - [13.38037]× 0.06393
= 1 - 0.855407
= 0.14459
≅ 0.145 ( to 3 decimal place)
What is the missing number in the pattern above?
7,680, 1, 920, ___, 120, 30
a. 210
b. 480
c. 900
d. 1,440
find the angle represented by x rounded to the nearest tenth of a degree
Answer:
x = 49.6°Step-by-step explanation:
Find the image attached;
From the image;
opposite side = 16
Hypotenuse = 21
Angle of inclination = x
Using the SOH identity
sinx = opposite/hypotenuse
sin x = 16/21
sin x = 0.7619
x = arcsin 0.7619
x = 49.6° (to the nearest tenth of a degree)
3)
If f() = x and g(x) = 3x + 1, then g(f(2)= ?
1)
A)
4
B)
7
13
D)
28
Answer:
100% A = 4
Explanation
Tom had a board that was 4 ft. 5 in. long. He cut off a piece that was 1 ft. 9 in long. How much board does he have left?
A. 2 ft. 4 in.
B. 2 ft. 8 in.
C. 3 ft. 4 in.
D. 3 ft. 8 in.
25 points BRAINLIEST The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers. Write the two equations and find both numbers
Answer:
11 and 7.
Step-by-step explanation:
7 + 11 = 18
7 times 2 is 14 and 14 + 11 = 25
8 divided by 3= I also have a essay for this
Answer:
The answer to that is 2.67
Step-by-step explanation:
If a leopard can run 500 years in 1/2min how many yards could they run in 1 hour
Answer:
?
Step-by-step explanation: how do expect us to know this
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
– 27 ÷ (– 3) – 9
– 27 ÷ 3 – 9
27 ÷ 3 + 9
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
what is the value of the expression 2^2 + 2^-4
BRAINLIEST!!!!!!!!!!
Math question angles
Answer:
m∠2= 39
Step-by-step explanation:
m∠2 = m∠1 -29
m∠2 = 107- m∠1
so m∠1 -29 = 107- m∠1
m∠1 +m∠1 = 107 +29
2* m∠1 = 136 divide both sides by 2
m∠1 = 136/2 = 68
m∠2 = 68-29 = 39
En el supermercado de Laura cortan cada barra de pan en 9 trozos iguales para hacer bocadillos y en 13 trozos iguales para hacer montaditos.
• ¿Qué fracción de una barra de pan se necesita para hacer
un bocadillo?
Que????????...........
What is 224.7 - 58.646= ?
Answer:
166.054
Step-by-step explanation:
Answer:
166.054
Step-by-step explanation:
Function K(v) represents the kinetic energy, in joules, of an object with a mass of 20 kilograms traveling with
velocity v meters/second (m/s). The difference quotient of K(v) is 20v + 10h. What is the average rate of change in
kinetic energy of an object as the velocity increases from 5 m/s to 12.5 m/s?
A. 175 joules
B. 225 Joules
C. 300 Joules
D. 325 joules
Answer:
b. 225 joules
Step-by-step explanation:
plug in 5 m/s and 12.5 m/s in to v and h.
Answer:
A. 175 Joules
Step-by-step explanation:
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112. The population standard deviation is known to be $16. Use a .05 level of significance and determine whether or not the average room price is significantly different from $108.50.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is [tex]\= x = \$ 112[/tex]
The population standard deviation is [tex]\sigma = \$ 16[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population mean is [tex]\mu = \$ 108.5[/tex]
The null hypothesis is [tex]H_o : \mu = 108.50[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 108.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }[/tex]
=> [tex]z = 1.75[/tex]
From the z table the area under the normal curve to the left corresponding to 1.75 is
[tex]P( Z > 1.75) = 0.040059[/tex]
Generally p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 1.75)[/tex]
=> [tex]p-value = 2 * 0.040059[/tex]
=> [tex]p-value = 0.08012[/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
A 6-pack of plastic rings costs $2.28. What is the unit price? (step by step solution)
Answer:
$0.38
Step-by-step explanation:
To find the unit price, divide the price by the amount.
$2.28 / 6 =
$0.38
Hope this helps <3
What is the y-intercept of the function described by the equation y=15x - 60*
Choose from below
15
-60
60
100
Other:
Please give me the correct answer
Answer:
I dont speak math sorry
Step-by-step explanation:
HELP ASPPP
Match the slope to its line.
Answer:
Line a has a slope of undefined as its a vertical line.
Line B has a slope of 4/3
line c has a slope of 3/4
and line d has a slope of 0 as its a horizontal line
Step-by-step explanation:
Answer:4/3 is B goes up 4 units then over 3
3/4 is C goes up 3 units and over 4
Solve the quadratic equation using any appropriate method.
- 2x2 + 7x - 7 = 0
need help once again!
Answer:
θ = cos-1 (38/47)
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]
θ = sin-1 (27/47)
cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]
θ = cos-1 (38/47)
tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]
θ = tan-1 (27/38)
Brad bought a shirt at a 20% discount and with sales tax of 5%. How can the expression 1.05(x - 0.2x) be rewritten to show what percentage of the original price he paid?a) 0.84x
b) 0.85x
c) 0.21x
d) 0.8x
Ms. Masse's biology class is conducting an experiment
to record the growth of a certain kind of bacteria. Each
student has a lab dish containing 2 bacteria which are
able to double every day. How many bacteria will be
present in a student's lab dish after two weeks?
what value of x makes this a right triangle ?
Santas sleigh travels 300 km/hr how far can he travel in 3 hrs
Answer:
given :
speed =300km/h
time=3hours
hence distance= speed * time
300*3
900 km
plz mark brainliest
Answer:
900 km
Step-by-step explanation:
its not rocket science
300 km an hour. you have 3 hours
300 x 3 = 900
is this the correct answer?
Answer:
yess it's right .
y=6+3x
Select the four points that appear on the line with the given slope and y-intercept
Slope: 2/3 y-intercept = -9
A- (2,3)
B- (0,-9)
C- (1,9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Answer:
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y = mx + b
Being m the slope and b the y-intercept.
We are given the values of m=2/3 and b=-9, so the equation of the line is:
y = 2/3 x - 9
We must select from the list below the points that lie on the line. To test each point, we substitute the value of x and calculate the value of y. If it matches the given y-coordinate, then the point lies on the line.
A- (2,3)Calculate: y = 2/3 (2) - 9 = -23/3.
This point is not on the line because -23/3 ≠ 3
B- (0,-9)Calculate: y = 2/3 (0) - 9 = -9.
This point is on the line because -9 = -9
C- (1,9)Calculate: y = 2/3 (1) - 9 = -25/3.
This point is not on the line, because -25/3 ≠ 3
D-(9,-3)Calculate: y = 2/3 (9) - 9 = -3.
This point is on the line because -3 = -3
E-(6,-5)Calculate: y = 2/3 (6) - 9 = -5.
This point is on the line because -5 = -5
F-(3,-7)Calculate: y = 2/3 (3) - 9 = -7.
This point is on the line because -7 = -7
The four points that appear on the line are:
B- (0,-9)
D-(9,-3)
E-(6,-5)
F-(3,-7)
how long would a Foot race, Tablecloth, Insect, Grain of rice, Pencil, Ladder, and Person’s leg be?
Answer:
At that speed, how far can this elevator travel in 12 seconds? Explain your reasoning. ... B. The weight or mass of a pencil. C. The volume of a ... 1. Pencil. 2. Ladder. 3. Person's leg. 4. Tablecloth. 5. Insect. 6. Grain of rice. 7. Foot race. Lesson 6.
Step-by-step explanation:
The staff at Barnett Junior High School went from 40 to 29 employees during the pandemic. What is the percent decrease in staff?
Answer:
65% - 55%
Step-by-step explanation:
I NEED HELP ASAP PLEASEEEE
Step-by-step explanation:
2126
