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)
NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!!!!!!
Which number line shows the solutions to n > -2?
The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
Kohl’s is having a sale this weekend I picked out a new pair of boots for $75 a new coat for $130 and new gloves for $20 and then a show me a coupon for 30% off how much do I pay the cashier
Someone thats extremely 100% good at math and is passing math can you help me with all my math questions. I need to get a better grade in math. ( No Plagiarism and please dont reshare another students answer from brainly either). Will Mark Brainliest. Just click on my name to go to my math questions.
please answer #3
i have only 5 points left ;(
Answer:
f(x) = 2,000(0.94)^x; 952 km^2
Step-by-step explanation:
Formula for exponential growth or decay:
f(x) = P(1 + r)^x
where
f(x) = future value in year x
P = present value
r = annual rate of growth (positive) or decrease (negative)
x = time in years
In this problem,
P = 2,000
r = -6% = -0.06; here r is negative since this is a decreasing function
The formula is
f(x) = 2,000(1 - 0.06)^x
f(x) = 2,000(0.94)^x
For year 12, x = 12.
f(x) = 2,000(0.94)^x
f(12) = 2,000(0.94)^12
f(12) = 952
Can someone help me find x
And why?
PLZZZ I WILL GIVE U 20 POINTS
Answer: x is on the side we’re the prime example if found if u have a example
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!
Which combinations satisfy the situation in the graph?
(It's multiple choice you can select more than one answer)
options:
4 pounds of apples and 4 pounds of oranges
7 pounds of apples and 8 pounds of oranges
3 pounds of apples and 2 pounds of oranges
6 pounds of apples and 5 pounds of oranges
Answer:
Option 1 and 3
Step-by-step explanation:
jdnfkfnkdksnd
A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected. What is the size of the same space
Answer:
[tex]S= 4[/tex]
Step-by-step explanation:
Given
[tex]Total = 20[/tex]
[tex]Selection = 5[/tex]
Required
Determine the size of sample space
Represent this with S
S is calculated by dividing the total number of kids by the number of selection.
[tex]S = \frac{Total}{Selection}[/tex]
[tex]S = \frac{20}{5}[/tex]
[tex]S= 4[/tex]
Hence, the sample space has a size of 4
Of the numbers 7, 8, 9, and 10, which is a solution to the inequality n – 5 < 3? Hurry Plz
Answer:
Answer of this question is 10
COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?
Answer:
6
Step-by-step explanation:
which rule describe the following pattern 8,4,10,6,12,8,14
A consultant charges $20 for each hour she works on a consultation, plus a
flat $40 consulting fee. How many hours of work are included in a $200 bill
for a consultation?
How many electrons are in the nucleus of an atom with an atomic number of 7?
Determine whether or not the relationship between x and y is proportional. Explain how you deter-
mined your answer.
(#1) please help
Answer:
Al of them are proportional
Step-by-step explanation:
If you see the first one is getting multiplied by 2 same as the second but the third is reversed.
2x,2x,-2x
MARKING BEST ANSWER BRAINLIEST!!!!!!!!!!!!!!!!!!!!What is the median of this group of numbers?
25, 35, 35, 40, 41, 45, 100
Answer:
There are 7 number so what you want to do is separate them into groups and the median will be the number in the middle which is 40 so 40 is the median
Step-by-step explanation:
hope this helps
Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through
the Hidden Valley, preparing for an ascent of the mountain. She looks up to the
mountain and measures the angle of elevation to be 47.3° and she knows she is
at an altitude of 4900m. She hikes 1000m closer to the mountain with no
elevation change and notes the angle of elevation to be 58.5°. How high above
sea level is Dhaulagiri?
Answer:
4833 m
Step-by-step explanation:
Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m
We use Pythagoras Theorem to get this done
We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top
Using the sine angle rule, we have
Sine 47.3 = 4900 / h
h = 4900 / sin 47.3
h = 4900 / 0.7349
h = 6668 m
This means that she was 6668 m away from the top of the mountain
She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000
Using the same sine angle rule, we have
Sine 58.5 = o / 5668
o = 5668 * sine 58.5
o = 5668 * 0.8526
o = 4833 m
She is 4833 m above the sea level
Pleaseeeee helpppppp meee
Answer:
C, F
Step-by-step explanation:
Dont have time rn
What is the exact value of cos(c + d), given sinc =24/25 for c in Quadrant II and cos d =-3/4 for d in Quadrant III?
-47/100
-1 3/100
21-24squareroot7/100
21
=24squareroot7/100
Joey plans to joh 6 miles to the store. He can jog at a constant rate of 1/2 of a mile every 1/4 of an hour. Jow many hours will it take him to get to the store?
Answer:
It should take Joey 3 hours to jog to the store.
Step-by-step explanation:
Find the equation of the line
passing through the points (3,1) and (7,-7)
Answer:
y = -2x+7
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope, c = y-intercept
1) find the slope using the given coordinates
slope formula:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
i) (3,1)
x1=3
y1=1
ii) (7,-7)
x2=7
y2=-7
substitute the values into the formula
[tex]m = \frac{ - 7 - 1}{7 - 3} [/tex]
[tex]m = \frac{ - 8}{4} [/tex]
[tex]m = - 2[/tex]
so now half of the equation is complete as we have the the value of m. substitute the value of m into the slope formula.
[tex]y = - 2x + c[/tex]
2) find the value of c
to find the value of c, we must substitute either coordinate into the half equation. so, i choose the coordinate (3,1). if you substitute the coordinate (7,-7) , you will get the same value of c.
(3,1)
x = 3
y = 1
[tex]y = - 2x + c[/tex]
[tex]1 = - 2(3) + c[/tex]
[tex]1 = - 6 + c[/tex]
[tex]1 + 6 = c[/tex]
[tex]c = 7[/tex]
substitute the value of c into the half equation and that is your straight line equation
[tex]y = - 2x + 7[/tex]
A line has a y-intercept at (0,4) and an x-intercept at (6,0). What is the slope of the line
Answer:
-2/3
Step-by-step explanation:
Rise: 4
Run: -6
Slope = Rise over run
Slope = 4 / -6
4 / -6 = -2/3
How do I write 55555 in expanded form
Answer:
FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE
Step-by-step explanation:
What is the constant of proportionality that relates y, the total cost in
dollars, to x, the number of tickets purchased>
Help pls :))))))))))))))
Answer:left is 7 right is 6
Step-by-step explanation:
left is 7 right is 6
Answer:
the right side is 6 and the left side is 7
Step-by-step explanation:
These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.
garett uses 5 apples to bake an apple pie on sunday he bkes 2 pies how many apples does garett need on sunday write an equation
Answer:
2+x=5
Step-by-step explanation:
i think dont bash me
Which expression is equivalent to
128x5y8
?
Answer:
Step-by-step explanation:
Next time please include the answer choices.
128x^5*y^8 is equivalent to (2^7)*x^5*y^8
Write "eleven and twenty-one hundredths" as a decimal.
Answer:
11.21
Step-by-step explanation:trust me bro
Answer:
11.21
Step-by-step explanation:
in the term 4p, the variable p is raised to the power of 0 or 1 ?
Answer:
1
Step-by-step explanation:
anything raised to the power of 0 would equal 1 and p doesn't equal 1 here.
Answer:
4 or 0
Step-by-step explanation:
well if the variable p became 0 the term 4p would look more like this 4(0) or 4 * 0 making the answer be 0
If the variable was changed into 1 the term 4p would become 4(1) or 4 * 1 as of such the answer would be 4.
now if you are raising p to a 0 so the term is more like this: 4p to the power of 0 then your answer would be 1. Because p would change to 0.
Now if you had 4p to the raised power of 1 then your answer would be 4 because p was changed to a 4.
I hope this answers your question.
does anyone understand this
For this problem, 0.25 in = 50 m. So
11 in = (11 in) • (50/0.25 m/in) = 2200 m
Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.
What is true about the angles in the diagram show below?
Please Help!
Answer:
1) 30
2) 60
Step-by-step explanation:
1. 90 + 2x + x = 180
solve for x
x = 30
plug in 30 for x
hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe