The average temperature for four days was 22°. What must the temperature be on the fifth day in order to make 23° the temperature for the five days?
Answer:
27°C
Step-by-step explanation:
Average temperature on 4 days
[tex] = \frac{total \: temperatures \: for \: 4 \: days}{4} [/tex]
Total temperatures for 4 days
= 4(22)
= 88
If the average temperature throughout 5 days is 23°,
total temperature for 5 days
= 5(23)
= 115
Temperature on the 5th day
= total temperatures for 5 days -total temperature for 4 days
= 115 -88
= 27°C
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).
Answer:
a) 0.39984 = 39.984% probability of no orders in five minutes.
b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) The length of time is 0.63 hours
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.
This means that [tex]\mu = 11h[/tex], in which h is the number of hours.
a) Probability of no orders in five minutes.
Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]
This probability is P(X = 0). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
0.39984 = 39.984% probability of no orders in five minutes.
b) Probability of 3 or more orders in five minutes.
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]
[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]
[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]
0.06563 = 6.563% probability of 3 or more orders in five minutes.
c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.
This is h for which:
[tex]P(X = 0) = 0.001[/tex]
We have that:
[tex]P(X = 0) = e^{-\mu}[/tex]
And
[tex]\mu = 11h[/tex]
So
[tex]P(X = 0) = 0.001[/tex]
[tex]e^{-11h} = 0.001[/tex]
[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]
[tex]-11h = \ln{0.001}[/tex]
[tex]h =-\frac{\ln{0.001}}{11}[/tex]
[tex]h = 0.63[/tex]
The length of time is 0.63 hours
what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINIEST
Answer:
y < 4
Step-by-step explanation:
2(5y-2) < 36
Divide both sides by 2.
5y-2 < 18
Add 2 to both sides.
5y < 20
Divide both sides by 5 to isolate y.
y < 4
Classify the following triangle. Check all that apply. 60° 8.4 4.2 30" 7.3 A. Acute B. Equilateral C. Obtuse D. Scalene E. Isosceles O F. Right
The given triangle is a right triangle and a scalene triangle.
What is a scalene triangle?A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.
It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.
In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.
Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.
Learn more about scalene triangle here:
https://brainly.com/question/26086362
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Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]
Answer:
the second option is correct
Step-by-step explanation:
through: (5,-1) and (-3,-5)
Answer:
If you are trying to find slope the answer is 1/2
Step-by-step explanation:
I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.
What is the value of y=8−3x when x=5?
When x=5, y=
Answer:
-7 will be the answer.
Step-by-step explanation:
By Putting the value of x, we get:
y=8-3x
y=8-3(5)
y=8-15
y= -7
38 POINTS FOR THIS
pls answer some of these questions or even all ty
Answer:
there are no questions
Step-by-step explanation:
but may i still please have a brainliest
if not then it is ok
write the questions in the comments
Answer:
What questions?
I don't see anything
Need help please help me if you know it
Answer:
I believe it's C... Not sure though...
HELP ME PLS, the function-
200 miles divided by 8
Answer:
25
200 divided by 8 is 25.
Step-by-step explanation:
A(b) is a function
True or false
Answer:
false
Step-by-step explanation:
because if one of the right side goes to two or more of the left its not a function
Jin is planning to drive from City X to City Y. The scale drawing below shows the
distance between the two cities with a scale of 1/4 inch = 14 miles.
Answer:
84 miles
Step-by-step explanation:
Distance between the two cities on the drawing = 1½ in.
Scale of drawing = ¼ inches is to 14 miles
Actual distance between the two cities using proportion:
(14*1½)/¼
Actual distance = 84 miles
Which of the following systems of linear inequalities is represented by the
solution graphed below?
O A. x>-1 and y 2-X
O B. y 2-1 and y<-X
O C. 2-1 and y> -X
OD. Y> -1 and ys-x
Answer:
B.
Step-by-step explanation:
i just solved it.
In this exercise we have to observe the graph informing and in this way identify the best alternative that represents this question, so we have to:
Letter B
So to start, we have to look at the graph axes separately, being the X axis first, then:
When we look at the area demarcated on the X axis, we realize that it is only about negative values, so X will always be less than zero.Now looking at the Y axis, we can see that it will always be values greater than or equal to -1.Thus, the alternative is found in the letter B, since:
[tex]Y\geq -1\\X\leq 0[/tex]
See more about graph at brainly.com/question/14375099
What is the area of the figure? I give brainliest! :)
Answer: I think it is 142
Step-by-step explanation:
91 + 51 = 142
A graph of f(x)=10x^2-11x-6 is shown on the coordinate grid.
What are the zeros of f(x)?
-2/5 and 3/2
-6
-9 and 4
11/20 and -9
Answer:
-2/5 and 3/2
Step-by-step explanation:
f(x)=10x²-11x-6
0=10x²-11x-6
(5x+2)(2x-3)=0
5x+2=0, 2x-3=0
5x=-2, 2x=3
x=-2/5, x=3/2
. The figure below shows a circular
driveway. What is the area of the
driveway?
Answer:
C
Step-by-step explanation:
A= πr squared
D=r*2
r=24
π=3.14
A= π(24 * 24) = 576
A= π576
A=10808.64
A=10808.6
find the value of x
help please !
Answer:
56°
Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124
Now you subtract 124 from 180 and then you get 56
So the answer would be 56° :)
Find the surface area.
Answer:
do you want to me to find it for all or just 1
Answer:
88 [tex]m^{2}[/tex]
Step-by-step explanation:
The surface are is the total area of all the faces
Opposite faces have the same area
Label each side either l, h or w
SA of a cuboid = 2lw + 2lh + 2hw
(2 x 4 x 6) + (2 x 4 x 2) + (2 x 6 x 2) = 8
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
In the formulae below, make x the subject:
1. a) P = 2mx
Answer:
x = P/2m
Step-by-step explanation:
x is the subject of the formula, and we can express it as: x = P / (2m)
How make x the subjectTo make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.
Starting with the equation:
P = 2mx
To solve for x, divide both sides of the equation by 2m:
P / (2m) = (2mx) / (2m)
This simplifies to:
P / (2m) = x
Therefore, x is the subject of the formula, and we can express it as:
x = P / (2m)
Learn more about equation at https://brainly.com/question/29174899
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Imagine you deposit $4,500 into an account that pays 5,5 percent interest compounded
daily. How much interest will you earn in 30 days?
Answer:
500
Step-by-step explanation:
Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.
Answer:$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
=
225(1.25) / 100 = 2.8125
pls help =pdndjn mkZbn v
Answer:
Step-by-step explanation:
Past: The birds flew away quickly
Present: The geese honk at the passerby
Future: The ducklings will hatch soon
Answer:
[Past] The birds flew away quickly.
[Present] The geese honk at passersby.
[Future] The ducklings will hatch soon.
_______________________________
I can't see the options on the second image.
Help Plis ...............
Answer:
it is positive 3/4
Step-by-step explanation:
it is the opposite of -3/4
Answer:
it would be a positive 3/4
Help pls fast ....................
Answer:
its A. 5
Step-by-step explanation:
5/10 is also known as 1/2 so 5/10 is equal to 1/2
The radius of the inside circle is 8 inches. The radius of the larger circle is 4 inches more than the radius of the small circle.
What is the area in square inches of the shaded area? Use 3.14 for π and round your answer to the nearest whole number.
Answer:
Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)
Therefore area of shaded region=2×3.14×12 -2×3.14×8
=2×3.14(12-8)
=6.18 ×4
=24.72 inc^2
Step-by-step explanation:
Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no
Answer:
Yes
Step-by-step explanation:
16x+15y=-8
16(-8)+15(8)=-8
-8=-8
Hope that helps :)
Answer:
True
Step-by-step explanation:
The left side − 8 is equal to the right side − 8 , which means that the given statement is always true.
5. In a right triangle, the sum of the lengths of the two legs is 100 meters. What are the lengths of the three sides
of this right triangle if the triangle's area is maxed out?
Answer:
6m by 8m by 10m
Step-by-step explanation:
6²+8²= 100
36+64=100
100=100