Answer:
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
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.
Poisson distribution with a mean of 6.
This means that [tex]\mu = 6[/tex]
Find the probability that less than 3 road construction projects are currently taking place in this city.
This is:
[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^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
Can y’all help me please
Answer:
w = 5
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
28 = 2(2w-1 + w)
Combine like terms
28 =2(3w-1)
Divide each side by 2
28/2 = 2/2(3w-1)
14 = 3w-1
Add 1 to each side
14+1 = 3w-1+1
15 = 3w
Divide each side by 3
15/3 =3w/3
5 =w
Find the greatest common factor of 56, 42, and 98.
Question 13 options:
A)
7
B)
36
C)
14
D)
24
Answer:
C, 14
Step-by-step explanation:
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
The factors of 98 are: 1, 2, 7, 14, 49, 98
Then the greatest common factor is 14. (The greatest factor that they all have in common.)
Please vote brainliest, thanks!
Amy's art class is 6 hours long. How long is her class in minutes?
Answer:
360 minutes.
Step-by-step explanation:
Answer:
360 minutes
Step-by-step explanation:
please help i need it!!!
Answer:
9
Step-by-step explanation:
Answer:
y = - x + 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (9, 0) ← 2 points on the line
m = [tex]\frac{0-9}{9-0}[/tex] = [tex]\frac{-9}{9}[/tex] = - 1
The line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = - x + 9 ← equation of line
What is the explicit formula of the geometric sequence? 5,-15,45,-135
Answer:
Tn=a(-3)^(n-1)
where a is first term and n is number of terms
Step-by-step explanation:
r=-3
The perimeter of a rectangle is 64 cm. The length is 15 cm, how wide is rectangle?
Answer:
17 cm
Step-by-step explanation:
Rectangle perimeter: length*2 + width*2
Substitute width with "x".
Length is given as 15 cm
Perimeter is given as 64 cm
Plug in the values and solve for x.
64 = 2*15 + 2x
64 = 30+2x
2x = 34
x = 17
so width is 17 cm
Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)
9514 1404 393
Answer:
more than 410
Step-by-step explanation:
For x miles, the second plan costs ...
p2 = 50 +0.25(x -250)
For the first plan to be cheaper requires ...
p1 < p2
90 < 50 +0.25(x -250)
40 < 0.25(x -250) . . . . . . subtract 50
160 < x -250 . . . . . . . divide by 0.25
410 < x . . . . . . . . . add 250
For more than 410 miles in one day, the unlimited plan would save money.
What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
B Find the missing length of each side marked with ? in Polygon B.
C Determine the measure of each angle marked with ? in Polygon A.
Answer:
for the lengths, just double the numbrrs
1.5 -> 3
2.5 -> 5
bc the scale factor is two (the upper edge is given)
the angles are just the same, no matter the zoom factor
There are two polygons where B is greater than A.
One side in polygon A has a length of 2.5 and the corresponding length in polygon B is 5.
So, the scale factor is
[tex]\dfrac{5}{2.5}=2[/tex]
So, the missing sides in polygon B are
[tex]1.5\times2=3[/tex]
[tex]2.5\times 2=5[/tex]
The angles in polygon A will be the same as B as all the sides of the polygon have changed according to the scale factor.
So, the missing sides in polygon B are 3 and 5, and the angles in polygon A are [tex]53^{\circ}[/tex] and [tex]82^{\circ}[/tex].
Learn more:
https://brainly.com/question/16315840
https://brainly.com/question/13156698
Tiana's birthday party costs $2 for every guest she invites. How many guests can there be,
at most, if Tiana can afford to spend a total of $8 on her birthday party?
guests
Answer:
ok so if it cost 2 dollars per guest here what that would look like
1 guest:2$
2 guest:4$
3 guest:6$
4 guest:8$
so she can invite 8 guest
Answer:
4 guest
Step-by-step explanation:
2 dollars for every guest and the budget is $8 so, $2 x 4 guest meets the budget of $8
What is the slope of the line that contains the points (-2, 2) and (3, 4)?
O A.
-
5
2
B.
UIN
O c.
O D.
Answer:
2/5
Step-by-step explanation:
(-2 , 2) = (x1 , x2)
(3 , 4) = (x2 , y2)
slope = y2 - y1/x2 - x1
=4 - 2/3 - (-2)
=2/3+2
=2/5
Brainiest and 10 points
Answer:
the answer is 4.9
Answer:
12.25 ÷ 2.5= 4.9
the 3rd box
The step function f(x) is graphed. What is the value of f(0)? -2 -1 0 1
Answer:
0
Step-by-step explanation:
1. Find P (phone has internet or phone plays music) using this Venn diagram.

2. Explain why we need to subtract P(A and B) in the equation P(A or B) = P(A) + P(B) - P(A and B).
Answer:
tough question guy needed more points to answer
Step-by-step explanation:
MARK AS BRAINLIESTA kite is flying 99 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 62º. Find the length of the string. Round your answer to the nearest tenth. (plz help)
1. The table represents values when input into a function f(x). What is the average rate of change of f(x)
from x = 2 to x=6? Show your work.
Answer:
Step-by-step explanation:
[tex]Rate \ of\ change =\frac{f(6)-f(2)}{6-2}[/tex]
[tex]=\frac{11-(-5)}{6-2} =\frac{11+5}{4}=\frac{16}{4}=4[/tex]
What is the value of x?
Answer:
i think its 29
Step-by-step explanation:
180-64=116
116/2=58
58/2=29
Answer:What is the value of x?
Step-by-step explanation: x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
What is filtration??
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]
Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
2. Find(f/g)(x) when f(x) = 6x2 + 12x and g(x) = 2x2 + 8x + 8. Show your work.
Answer:
:)
Step-by-step explanation:
[tex](\frac{f}{g}) (x) = \frac{f(x)}{g(x)} = \frac{6x^2 + 12x}{2x^2 + 8x + 8}[/tex]
[tex]= \frac{6x(x + 2)}{2(x^2 + 4x + 4)}\\\\=\frac{3x(x+2)}{(x+2)(x+2)}\\\\=\frac{3x}{(x+2)}[/tex]
The cost of 5 diesels is $1025. Calculate the cost of 17diesels
Solve for the missing angle measures.
Answer:what were the anwsers
Step-by-step explanation:
4 to the power of -3 as fraction
Answer:
Step-by-step explanation:
4^-3
=1/4^3
=1/64
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]4^{-3} = 0.015625[/tex]
[tex]0.015625 = \frac{1}{64}[/tex]
What is 5x5 answer for a cookie
Answer:
25
Step-by-step explanation:
a rectangular container of length 40cm and width 36cm was filled with 57600cm of water. find the depth of the water in the container.
Answer:
40 cm
Step-by-step explanation:
57600 is the volume here
Because "was filled with 57600cm of water."
- NOTE : Volume can Never change unless There is a Subtracted amount of water That's Removed36 x 40 x n = 57600
n = 40
Two angles of a triangle measure 22° and 530. What is the measure of the
third angle?
9514 1404 393
Answer:
105°
Step-by-step explanation:
The sum of measures of angles in a triangle is 180°. The third angle is ...
180° -22° -53° = 105°
Help PLSSS!!!!! I will give brainlyest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 17 1/2 or decimal form = 17.5
Step-by-step explanation: Hope this helped!
Answer:
17.5 Statues im pretty sure.
Step-by-step explanation:
7/8 divided by 1/20
A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56
Answer:
B. 45
Step-by-step explanation:
50x.10=5 discount
50-5=45
Cora's dad has asked Cora and her little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Cora isn't looking, her brothers empty 6 of the bags to make a giant leaf pile! Cora is frustrated that only 5 bags of leaves remain. What equation can you use to find the total number of bags b that Cora and her brothers fill with leaves?
Answer:
11
Step-by-step explanation:
because they empty 6 bags and there are 5 bags left to that is 11 all together
The total number of bags of leaves b is given by the equation b = 11 bags
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the total number of bags be = b
The number of bags emptied by Cora's brother = 6 bags
The number of bags left with Cora = 5 bags
So , the equation will be
The total number of bags b = number of bags emptied by Cora's brother + number of bags left with Cora
Substituting the values in the equation , we get
The total number of bags b = 6 + 5
The total number of bags b = 11 bags
Therefore , the value of A is 11 bags
Hence , the number of bags of leaves is 11 bags
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Find the value of given PSRQ is a parallelogram
Angle S and angle R are supplementary angles and need to add together to equal 180 degrees.
This means angle r = 180-145 = 35 degrees.
36x -1 = 35
Add 1 to both sides:
36x = 36
Divide both sides by 36
X = 1
Answer:
Work attached below :D
help with this please. Thanks
9514 1404 393
Answer:
3.0
Step-by-step explanation:
The angle, its opposite side, and the hypotenuse are given. Then the relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(21°) = x/8.3 . . . . . . . . . . . . . . . . . . use the given values
x = 8.3·sin(21°) ≈ 8.3×0.3584 . . . . . . multiply by 8.3
x ≈ 3.0
