Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
7x-3/4=x what is the process to answer fasttttttt please
Answer:
x= 1/8 is the correct answer
Answer:
1/8
Step-by-step explanation:
7x-x=3/4
6x=3/4
6x/6=3/4÷6
x=1/8
Given the following coordinates the glide reflection transformation
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (4, 2 ) → A' (4, - 2 )
B (7, 0 ) → B' (7, 0 )
C (9, 3 ) → C' (9, - 3 )
A translation of a shift to the left of 3 units is a horizontal shift.
This means subtracting 3 fro the x- coordinate and leaving the y- coordinate
A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )
B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )
C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )
Show that (x+1)(x+3)(x+5) can be written in the form ax3+bx2+cx+d where a b c and d are all positive intergers
Answer:
Step-by-step explanation:
(x+1)(x+3)(x+5), multiply first two parenthesis
(x² +3x +x +3)(x+5), combine like terms
(x² +4x +3) (x+5), multiply the parenthesis
(x³ +5x² +4x² +20x +3x +15), combine like terms
x³ +9x² +23x +15 is in the form ax³ +bx² +cx +d
a=1, b=9, c=23, d=15 are all positive integers
An equation parallel to y = – 3x + 2 through (2,3)
Answer:
y = -3x+9
Step-by-step explanation:
Parallel lines have the same slope
y = -3x+2
This is in slope intercept form where y =mx+b where m is the slope
The slope is -3
y = -3x+b
Using the point (2,3)
3 = -3(2)+b
3 = -6+b
Add 6 to each side
3+6 = b
9=b
y = -3x+9
Answer:
slope (m) = -3
3= -3(2)+b
b = 9
y=mx+b → y= -3x+9
OAmalOHopeO
Use the diagram. Solve for p.
Answer:
A the first one.
Step-by-step explanation:
Wy = 28
WX = 12
XY = WY - WZ
XY = 28 - 12
XY = 16
4P = 16
P = 16/4
P = 4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Quadrilateral ABCD has vertices at A(0,0), B(0,2), C(6,2), and D(6,0). Find the vertices of the quadrilateral after a dilation with scale factor 3/2.
Answer:
A=0
B=0,3
C=9,3
D=9,0
Step-by-step explanation:
Multiplies all the vertices bay scale factor 3/2
Solve: 9y+1 = 32y+1 + 54
Answer:
9y+1=32y+1+54
collect like terms, a symbol changes once it crosses the equal to sign =
9y-32y=1+54-1
-23y=54
divide both sides by -23
-23y/-23=54/-23
-23 will cancel -23 to give y
y=54/-23
y=-2.4 or 2 whole number 8/23
Answer: y is -54/23
Step-by-step explanation:
Vera uploaded a hilarious video of a squirrel to a funny video website. It was viewed 320 times on the first day. Each day since then, the number of views was 25% more than the day before.
Let f(n) be the number of views Vera's video for on the nth day side she uploaded it.
What kind of sequence is it?
A. Arithmetic sequence
B. Geometric Sequence
Write an explicit formula for the sequence.
f(n)=
Answer:
Step-by-step explanation:
On first day , the video was viewed = 320 times .
We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .
So, this situation forms G.P.
Where common ratio r = 1.25
First term = f(1) = 320
Formula of nth term in G.P. =
So, nth term of the given situation :
Where f(n) denotes the number of views on nth day .
So, the number of views Vera's video got on the nth day =
Step-by-step explanation:
| the British 50-pence coin shown on the right is in the shape of a
regular heptagon. Determine the measure of one interior angle.
Show your work.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
hello,
Step-by-step explanation:
center angle : 360°/7 °
half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °
interior angle= 128°+4/7°≈128.6 °
BEDROOM Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide. Write a
numerical expression to describe the area of Shenandoah's bedroom.
Answer:
(12 x 7) feet2
Step-by-step explanation:
formula of area= length times breadth
The expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle is called the area of the rectangle. The rectangle has two sides one is the width and the other is the Length.
Given that Shenandoah's rectangular bedroom is 12 feet long and 7 feet wide.
The area of the rectangle is the product of its width and length.
Area = L x W
The expression for Shenandoah's bedroom area will be written as below:-
Area = 12 x 7
Area = 84 square feet
Therefore, the expression which describes the area of the bedroom is (12 x 7) square feet. The area is 84 square feet.
To know more about the area of the rectangle follow
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Round to the nearest penny.
$11,579.9998
Answer:
Step-by-step explanation:
So basically, we would need to divide to the nearest 0.01 or hundredths place. All you would need to do is round from each place which would soon get you to 11,580.00. Simple right!!
I hope this helps!! Have a good rest of your day! :)
please! help me i need it rn
Answer:
It is the last option.
Jordan needs 1 1/2 cups of diced chicken for 3 salads.
To make this easy for you.
1. start on the x axis which is number of salads.
2. Go to the number 3 (of the x axis which is the number of salads)
3. Find your way up to the point marked.
4. see what is your number in the y-axis (in this case it is 1 1/2.
Step-by-step explanation:
I hope it helps!
Can someone please help me with this please?
Step-by-step explanation:
Area of the rectangle = 9×6 = 54 m²
Area of the path is also 54 m²
so total area of the bigger rectangle is 54+54 = 108 m²
now the ratio of length to width is 9:6 or, 3:2
so, for 108 m²
(3x)(2x) = 108
6x²=108
x²=18
x=3√2
So length = 3x = 9√2 and width = 2x = 6√2
The length of a rectangle is 10 feet longer than it is wide. If each side is increased 10 feet, then the area is multiplied by 2. What was the size of the original rectangle?
Answer:
Size of the original rectangle is 30*20=600
Step-by-step explanation:
Let the length and width of rectangle be x+10 and x. After increasing the dimensions, the new length and width are x+20 and x+10
ATQ, (x+20)(x+10)=2(x+10)(x), x=20.
Is my answer correct?
I'm pretty sure you are :)
3 x 5(0 + 2) - 4
O Α. Ο
ling
B.
11
O C. 26
O D. 33
Answer:
26 is the answer
Step-by-step explanation:
hope this helps you
Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate to the total number of oranges?
Which of the following is a solution of this equation?
A.
(5,0)
B.
(-1, 1)
C.
(3,-1)
D.
(-2,-3)
Answer:
D. (-2,-3)
Step-by-step explanation:
substitute the point values of [tex]x[/tex] and [tex]y[/tex] into the equation [tex]y=\frac{1}{2}x-2[/tex]
A. [tex]0=\frac{1}{2}(5)-2[/tex]
[tex]0=2.5-2[/tex]
[tex]0[/tex] ≠ [tex]0.5[/tex]
B. [tex]1=\frac{1}{2}(-1)-2[/tex]
[tex]1=-.5-2[/tex]
[tex]1[/tex] ≠ [tex]-2.5[/tex]
C. [tex]-1=\frac{1}{2}(3)-2[/tex]
[tex]-1=1.5-2[/tex]
[tex]-1[/tex] ≠ [tex]-0.5[/tex]
D. [tex]-3=\frac{1}{2}(-2)-2[/tex]
[tex]-3=-1-2[/tex]
[tex]-3=-3[/tex]
solve h = vt - gt^2, for v
Answer:
v=(h/t)+gt
Step-by-step explanation:
h=vt-gt^2
h+gt^2=vt
v=(h/t)+gt
Help with this plz?
Topic (Similarity)
Answer:
MATH
Step-by-step explanation:
12. solve for a.
help please
Answer:
okay so given :-
R = x(A+B)
now open bracket =>
R = Ax + Bx
shifting Bx
R - Bx = Ax
so now shift x to lhs and finally we get
A = (R - Bx)/x option d is correct
please brainliest <3
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
Focus on math practices
Reasoning How are "T minus 4" and "T plus 4" related?
In rocket use
Answer:
Both T+4 and T-4 are the same distance away from 4
T would be the launch time of the rocket...
T - 4 is 4 units of time (seconds) prior to launch...
T+ 4 is 4 units of time (seconds) after the launch
Step-by-step explanation:
Both please please………
Answer:
Step-by-step explanation:
First one - Because it says 2 years ago, you can do 60000-4% for one year and then take the answer and - another 4% for the second year to get her income from 2 years ago. (I commented on this)
Second one - 1/3 - Take 1/6*200%=1/6*2=2/6, 2/6=1/3. So 1/3 or 2/6 of the students have a engineering major
Multi-Step Literal Equations
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
g= b(a+[tex]D^{2}[/tex])
[tex]\\ \sf\longmapsto g=b(a+D^2)[/tex]
[tex]\\ \sf\longmapsto g=ba+bD^2[/tex]
[tex]\\ \sf\longmapsto g-bD^2=ba[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{g-bD^2}{b}[/tex]
or
[tex]\\ \sf\longmapsto a=\dfrac{g}{b}-D^2[/tex]
complete the table
x - 2 7 10
y - 30 36
Answer:
x-15
y 42
Step-by-step explanation:
The equation k(x+1)^2/3+(y+2)^2/4=1 represent circle if
Answer:
Can you Specify the Question?
How do you write 6.45 in scientific notation?
Answer:
the decimal number 6.45 written in scientific notation is 6.45 × 100 and it has 3 significant figures.
Step-by-step explanation:
Which situations can be presented by an exponential function?
Select EACH correct answer
A.In a structure made of soup cans, each row has 6 more cans that the previous row
B.a doctor’s office accepts 20 new patients each month
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Answer:
C.The value of a motorcycle decrease by 12% each year
D.Every year, the number of online subscribers to a service is 4 times what it was the previous year
Step-by-step explanation:
A function is said to be exponential if it changes (increases or decreases) by a fixed percentage or proportion over a certain period of time.
From the options given, only options C and D is defined as changing based on a certain percentage. And option D cgbages by a clfixed proportion from the initial value.
The option that represents the exponential function are situation C) and D) and this can be determined by making the mathematical expression of each situation.
Try to make a mathematical expression of the situation given below in order to check which option shows an exponential function.
A) According to the given data, in the first row there are 6 cans, in the second row there are 12 cans, in the third row there are 18 cans, and so on. Now, let 'a' be the total number of rows then, the mathematical expression of this situation is given by:
= 6a
This situation is not representing the exponential function.
B) According to the given data, in the first month there are 20 patients, in the second month there are 40 patients, and so on. Let the total number of months be 'b' then the mathematical expression is given by:
= 20b
This situation is not representing the exponential function.
C) According to the given data, in the first year the value of the motorcycle decrease 12%, in the second month the value decreased by 24% of the initial value, and so on. So, the price of motorcycle decreases exponentially. Therefore, this option is correct.
D) According to the given data, every year, the number of online subscribers to service is 4 times what it was the previous year. The mathematical expression of this situation is:
= [tex]4^x[/tex]
where 'x' is the number of years. Therefore, this option is correct.
For more information, refer to the link given below:
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