Answer:
A-true
Step-by-step explanation:
The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be
(a) at least 2 such accidents in the next month?
(b) at most 1 accident in the next month?
Answer:
The probability that there will be
(a) at least 2 such accidents in the next month?
= 0.864
(b) at most 1 accident in the next month?
= 0.136
Step-by-step explanation:
This is a Poisson Distribution question.
The formula is given as:
For X = x ,
= λ^x × e^-λ/x!
The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be
(a) at least 2 such accidents in the next month?
= λ^x × e^-λ/x!
λ = 3.5
x = at least 2 such accidents
x ≥ 2
= 1 - [P(x = 0) + P(x = 1)]
= 1 - [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]
= 1 - [ 1 × 0.0301973834 + 3.5 × 0.0301973834]
1 - [ 0.0301973834+ 0.105690842]
= 0.8641117746
≈ 0.864
(b) at most 1 accident in the next month?
= λ^x × e^-λ/x!
λ = 3.5
x = at most 1 such accidents
x ≤ 1
= [P(x = 0) + P(x = 1)]
= [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]
= [ (1 × 0.0301973834) + (3.5 × 0.0301973834)]
[ 0.0301973834+ 0.105690842]
= 0.1358882254
≈ 0.136
I need help please
Answer:
Step-by-step explanation:
7) ∠1 + 30 = 180 {linear pair}
∠1 = 180 - 30
∠1 = 150
8) ∠2 = 30 {Vertically opposite angles are congruent}
9) In ΔLMN,
∠L + ∠N + ∠M = 180 {angle sum property of triangle}
50 + 30 + ∠M = 180
80 + ∠M = 180
∠M = 180 - 80
∠M = 100°
10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.
∠B + ∠A = ∠BCD
30 + ∠A = 80
∠A = 80 - 30
∠A = 50
Question Help
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 20 min. If the current in
that part of the river is 4 km per hr, what was her boat speed in still water?
Her boat speed in still water was km per hr.
Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]
Downstream speed = s+4
So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]
So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
You will use the GeoGebra geometry tool to divide a line segment in a given ratio. Go to line segment ratios, and complete each step below. If you need help, follow these instructions for using GeoGebra.
Question 1
Any line segment that is not horizontal or vertical can be represented as the hypotenuse of a right triangle whose legs are aligned with the x- and y-axes. In GeoGebra, is shown as the hypotenuse of such a triangle. You will divide in the ratio 2 : 3 using the ideas you’ve seen so far in the lesson:
Find and record the lengths of the horizontal and vertical sides of the right triangle.
Find and record the x-coordinate of a point that divides the horizontal side in the ratio 2 : 3. Use the formula from the lesson to guide you:
.
Find and record the y-coordinate of a point that divides the vertical side in the ratio 2 : 3. Use the formula from the lesson to guide you:
Consider a point C that has the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3 and the y-coordinate of the point that divides the vertical side in the ratio 2 : 3. Write down the coordinates of point C. This is the point that divides in the ratio of 2 : 3.
Answer:
(2.6,1.8)
Step-by-step explanation:
length of horizontal side = (xB − xA) = 4 units
length of vertical side = (yB − yA) = 2 units
To find the x-coordinate of the point that divides the horizontal side in the ratio 2 : 3, first convert the ratio between the parts into the fraction of the sum that the first part is equal to: a/a+b= 2/2+3= 2/5
Multiply the length of the horizontal side by the fraction, and then add the result to the x-coordinate of point A: Xc= Xa + (a/a+b) (Xb - Xa) = 1+ (2/5 x 4) = 2.6
Multiply the length of the vertical side by the fraction, and then add the result to the y-coordinate of point A: Yc= Ya + (a/a+b) (Yb - Ya) = 1+ (2/5 x 2) = 1.8
It follows that point C is located at (2.6, 1.8).
Answer:
The coordinates of point C is (2.6,1.8)
Step-by-step explanation:
H-4/x =y solve for x
Answer:
x - 1
Step-by-step explanation:
Identify the focus, directrix, and axis of symmetry of x^2=64y
The general equation represented as: [tex]\mathbf{x^2 = 2py}[/tex]
The focus is [tex]\mathbf{F = (0,16)}[/tex]The directrix is [tex]\mathbf{y = -16}[/tex]The axis of symmetry is [tex]\mathbf{x = 0}[/tex]The equation is given as:
[tex]\mathbf{x^2 = 64y}[/tex]
Recall that:
[tex]\mathbf{x^2 = 2py}[/tex]
Where:
[tex]\mathbf{F = (0,\frac p2)}[/tex] --- the focus
[tex]\mathbf{y = -\frac p2}[/tex] --- the directrix
Compare [tex]\mathbf{x^2 = 2py}[/tex] and [tex]\mathbf{x^2 = 64y}[/tex], we have:
[tex]\mathbf{2py = 64y}[/tex]
Divide both sides by 2y
[tex]\mathbf{p = 32}[/tex]
Recall that:
[tex]\mathbf{F = (0,\frac p2)}[/tex] and [tex]\mathbf{y = -\frac p2}[/tex]
So, we have:
[tex]\mathbf{F = (0,\frac {32}2)}[/tex]
[tex]\mathbf{F = (0,16)}[/tex]
[tex]\mathbf{y = -\frac p2}[/tex]
[tex]\mathbf{y = -\frac{32}{2}}[/tex]
[tex]\mathbf{y = -16}[/tex]
The axis of symmetry is [tex]\mathbf{x = 0}[/tex]
Read more about equations of parabola at:
https://brainly.com/question/11911877
Question Help Point C is seven units to the left of the y-axis and five units below the x-axis. Write the ordered pair for point C.
Answer:
C = (-7,-5)
Step-by-step explanation:
Analysing the statements in the question, one after the other.
1. 7 units to the left of y axis
This implies that the x coordinate of C is -7
2. 5 units below the x axis.
This implies that the y coordinate of C is -5)
So,
C(x,y) = C(-7,-5)
Hence, the required coordinates of C is (-7,-5)
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars. A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50. Solve a system of three linear equations in three variables to determine the cost of one candy bar.
Answer: $1.25
Step-by-step explanation:
Let the cost of cracker be a.
Let the cost of cookies be b.
Let the cost of candy bars be c.
From the question,
6a + 6b + 6c = $21
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
To solve this, we first pick any two pairs of equation. This will be:
6a + 6b + 6c = $21 ....... i
8a + 5b + 10c = $26 ....... ii
Multiply equation i by 8
Multiply equation ii by 6
48a + 48b + 48c = $168 ....... iii
48a + 30b + 60c = $156 ....... iv
Subtract equation iv from iii
18b - 12c = 12
We then pick another two pairs
8a + 5b + 10c = $26
5a + 4b + 7c = $18.50
Multiply equation i by 5
Multiply equation ii by 8
40a + 25b + 50c = $130
40a + 32b + 56c = $148
Subtract the equations
-7b - 6c = -18
Then, solve the new equations formed
18b - 12c = 12 ....... v
-7b - 6c = -18 ....... vi
Multiply equation i by -7
Multiply equation ii by 18
-126b + 84c = -84
-126b - 108c = -324
Subtract the equations
192c = 240
c = 240/129
c = $1.25
From equation v, put the value of c
18b - 12c = 12
18b - 12($1.25) = 12
18b - $15 = $12
18b = $27
b = $27/18
b = $1.5
Since,
6a + 6b + 6c = $21
6a + 6($1.5) + 6($1.25) = $21
6a + $9 + $7.5 = $21
6a + $16.5 = $21
6a = $21 - $16.5
6a = $4.5
a = $4.5/6
a = $0.75
One candy bar cost $1.25
The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.
Given :
Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and candy bars.A snack bag containing 6 of each type of snack costs $21.00. A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00. A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50.Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.
So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:
6x + 6y + 6z = 21 --- (1)
The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:
8x + 5y + 10z = 26 --- (2)
The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:
5x + 4y + 7z = 18.50 --- (3)
Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.
z = $1.25
y = $1.5
x = $0.75
For more information, refer to the link given below:
https://brainly.com/question/11897796
Plot the x- and y-intercepts to graph the equation.
y=−x−5
Answer:
See the graph
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: − 1
x-intercept: (-5,0)
y-intercept: ( 0 , − 5 )
Toni is shopping for clothes at the store she buys 8 shirts for $8.00 what is the unit rate for the shirts?
Answer:
$1.00
Step-by-step explanation:
The unit rate in this scenario would be $1.00 , meaning that Toni is paying $1.00 for every shirt. This can be calculated by dividing the total price that she is paying for the shirts by the total number of shirts that Toni is purchasing like so...
$8.00 / 8 = $1.00 per shirt
The unit rate is basically the value over the denominator of 1 which would be the case as seen above since $1 buys 1 shirt ([tex]\frac{1 dollar}{1 shirt}[/tex]) as opposed to $8 dollars 8 shirts ([tex]\frac{8 dollars}{8 shirts}[/tex]) as mentioned in the question.
6th grade math i mark as brainly
Answer:
A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.
My allowance has increased $13 a week and is now $42. What was my old allowance?
Answer:
29
Step-by-step explanation:
42-13=29
Emily is walking around her neighborhood. After walking for 6 minutes, she traveled 4 blocks. After walking for a total of 15 minutes at the same rate, she traveled 10 blocks. Given that Emily walked at the same pace the entire time, how long did it take her to travel 8 blocks?
Answer:
12 minutes
Step-by-step explanation:
Answer: 12 Minuets
Step-by-step explanation:
You have a coupon for 30% off your dinner. Your total bill was $50. You also need to pay a 7% sales tax and leave a 22% tip. With the discount, tip + tax included, how much was your dinner?
Answer:
$49.50
Step-by-step explanation:
30% of $50 = $15.00
7% of $50 = $3.50
22% of $50 = $11.00
$50.00 - $15.00 = $35.00
$35.00 + $3.50 = $38.50
$38.50 + $11.00 = $49.50
How much was your dinner?
The total amount is $49.50, so only a total of 50 cents is being taken off from the whole payment of the dinner. (≧◡≦) (o´∀`o) (´• ω •`) (＾▽＾) (⌒ω⌒)
Kiran says “If I walk 3 miles per hour toward you, and you walk 3.4 miles per hour toward me, it’s the same as if you stay put and I jog 6.4 miles per hour.” What do you think Kiran means by this? Is he correct?
Answer:
Yes it is the same. Since the total distance left behind per time unit would be the same. Just that He would Do that by himself.
Answer:
yes
Step-by-step explanation:
Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, so my friends won't amke fun of me
Answer:
If it counts as a question, lol sure, I'd love to help
Which phrase describes the geometric interpretation of dividing a complex number z by i?
O Reflect z across the real axis.
O Reflect z across the imaginary axis.
O Rotate z by 90° clockwise about the origin.
O Rotate z by 90° counterclockwise about the origin.
Answer: Rotate z by 90° clockwise about the origin.
Step-by-step explanation:
Suppose we have the number z = a + b*i, that can be represented with the point (a, b) in a coordinate axis.
If we divide z by i, we have:
[tex]\frac{z}{i} = \frac{a + b*i}{i} = \frac{a + b*i}{i} *\frac{i}{i} = \frac{a*i - b}{-1} = b - a*i[/tex]
This point will be represented with the point (b, -a)
Then we have the transformation:
(a, b) ----> (b, -a)
This is a rotation of 90° clockwise about the origin.
Then the correct option is:
Rotate z by 90° clockwise about the origin.
Answer:
C
Step-by-step explanation:
rotate Z clockwize
4
3
2
1
M
5-4-3 -2 -1 이
2345
2
3
Answer: Can you describe it a lil better than that?
Step-by-step explanation:
The health club offers a silver membership and a gold membership at the table contains information about the one time registration fee and monthly fee for each membership and which of the following number of months with the gold membership be a better value than the silver membership 
Answer: 5
Step-by-step explanation: I got it right
Answer:
Step-by-step explanation:
13 months
If n is an odd number, then its remainder is 1 when I divide it by 2.
17 is an odd number. What conclusion can be made?
Answer: Its remainder is 1 when you divide 17 by 2.
In other words, 17/2 = 8 remainder 1.
The 8 is the quotient.
The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.
water balloon was thrown from a window. The height of the water balloon over time can be modeled by the function y=-16x^(2)+160x+50. What was the maximum height of the water balloon after it was thrown?
Answer:
450 Is the maximum height.
Step-by-step explanation:
Use x=-b/(2a) to get your answer.
15x + 9 = 3(2x - 6) PLease Help me Ive benn stuck on this
Answer:
x= -3
Step-by-step explanation:
First let's work on the right side and use distributive property
15x+9= 3(2x-6)
15x+9= 6x-18
-9 -9
15x= 6x-27
-6x -6x
9x= -27
9x/9= -27/9
x= -3
Hope this helps!
How to find the missing numbers
Answer:
In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.
The lions and the tigers played a football game the lions scored three more than three times the number of points the tigers scored
This question is incomplete
Complete Question
The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?
Answer:
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
Step-by-step explanation:
Let the number of points scored by the lion = l
The number of points scored by the tiger = t
The Lions scored three more than three times the number of points the Tigers scored.
l = 3 + 3(t)
The total number of points scored by both teams is 31.
= l + t = 31
3 + 3t + t = 31
4t = 31 - 3
4t = 28
t = 28/4
t = 7 points
Note:
l + t = 31
I = 31 - t
l = 31 - 7
l = 24 points
The number of points scored by the Lions = 24
The number of points scored by the Tigers = 7
I need an answer asap!!!!!!
What is (4 4/7) divided by 1/2?
Answer:
9.14285714286
Step-by-step explanation:
i dont know if you need to round it but heres the answer (hasnt been rounded)
What is $93.75 round to the nearest cent
Answer:
93.70
Step-by-step explanation:
Point P partitions directed segment AB in the ratio of 3:4.
What is the total number of congruent sections/parts? (what
is the k value?)
how many congruent sections are there
Answer:
Total number of congruent sections/parts = 7
[tex] k = \frac{3}{7} [/tex]
Step-by-step explanation:
Given that partitions directed segment AB such that AP : PB = 3 : 4, this implies that:
There are 7 parts/congruent sections that AB has been divided into.
Also, point P, partitions AB in the ratio 3:4.
Therefore, there are a total of 7 congruent sections/parts.
Value of k:
Value of k = numerator of the original ratio ÷ sum of numerator and denominator of the original ratio
[tex] k = \frac{3}{3 + 4} [/tex]
[tex] k = \frac{3}{7} [/tex]
Sending text messages from Katrina's cell phone costs $0.18 per text message . From last monthshe has a credit on her bil for $9.00How much more money will she need to pay for text messages this month if she has sent 204 messages?
A. $ 29.22
B. $25.72
C.$36.72
D. $27.72
Answer:
D. $27.72
Step-by-step explanation:
Calculation for How much more money will she need to pay for text messages
First step is to the Total cost of sending 204 messages
Total cost=204 messages* $0.18 per text message
Total cost =$36.72
Last step is to compute for How much more money will she need to pay for text messages
Amount to be paid =$36.72-$9.00
Amount to be paid=$27.72
Therefore How much more money will she need to pay for text messages will be $27.72
Answer:
D
Step-by-step explanation:
Sarah graphed the line that represents the equation y=−5x.
Which ordered pairs represent points on the line?
Select all that apply.
(6,−30)
(−2,−10)
(5,25)
(−3,15)
(1,−5)
Answer:
the ordered pairs which represent points on the line are
(6, -30) ⇒ A
(-3, 15) ⇒ D
(1, -5) ⇒ E
Step-by-step explanation:
To find the ordered pairs represents points on the line y = -5x, substitute x in the equation by the x-coordinate of each point if the value of y equals the y-coordinate of the point, then the point lies on the line
∵ y = -5x
∵ The ordered pair is (6, -30)
∴ x = 6 and y = -30
→ Substitute x in the equation by 6 to find y
∵ y = -5(6)
∴ y = -30
→ y has the same value of the y-coordinate of the point
∴ (6, -30) represents point on the line
∵ The ordered pair is (-2, -10)
∴ x = -2 and y = -10
→ Substitute x in the equation by -2 to find y
∵ y = -5(-2)
∴ y = 10
→ y does not have the same value of the y-coordinate of the point
∴ (-2, -10) does not represent a point on the line
∵ The ordered pair is (5, 25)
∴ x = 5 and y = 25
→ Substitute x in the equation by 5 to find y
∵ y = -5(5)
∴ y = -25
→ y does not have the same value of the y-coordinate of the point
∴ (5, 25) does not represent a point on the line
∵ The ordered pair is (-3, 15)
∴ x = -3 and y = 15
→ Substitute x in the equation by -3 to find y
∵ y = -5(-3)
∴ y = 15
→ y has the same value of the y-coordinate of the point
∴ (-3, 15) represents a point on the line
∵ The ordered pair is (1, -5)
∴ x = 1 and y = -5
→ Substitute x in the equation by 1 to find y
∵ y = -5(1)
∴ y = -5
→ y has the same value of the y-coordinate of the point
∴ (1, -5) represents a point on the line
what is the y intercept of a line that has a slope of -3 and passes through point 0.-7?
Answer:
-7
Step-by-step explanation:
(x,y) --> (0,-7) -7 is the y-intercept
Answer:the answer is -7
Step-by-step explanation:
