Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is
Answer:
P(at least 4) = 0.74431
Step-by-step explanation:
Here
Probability of the flights on time is = 70% = 70/100= 0.7
q= 0.3
n= 6
As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.
P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135
P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526
P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P
P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729
P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206
P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535
P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522
Probability of at least 4 means that probability of greater than 4 inclusive of 4.
This can be obtained in two ways.
First is by subtracting the probabilities of less than 4.
Second is by adding probabilities greater than 4 including 4.
We get the same answer with any of the two methods used.
P(at least 4) = 1- P(x<4)
= 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]
= 1- 0.25569
= 0.74431
P (at least 4) = P(x=4) +P(X=5) + P(x=6)
=0.324135+ 0.302526+ 0.117649
=0.74431
Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000
Answer: 0.44
Step-by-step explanation:
First, let's count the total number of four-digit numbers.
Let's think it as four empty slots:
_ _ _ _
In each slot, we can put a single digit.
In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}
The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.
For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:
Combinations = 9*10*10*10 = 9000
So there are 9000 different 4 digit numbers.
Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.
Let's see the number of 4-digit numbers that are equal or smaller than 5000.
The smallest 4-digit number is 1000.
Then the number of numbers between 1000 and 5000 is:
5000 - 1000 = 4000
This means that there are 4000 4-digit numbers that are equal or smaller than 5000.
Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)
Then te probability is:
P = 4000/9000 = 4/9 = 0.44
T
Pls help urgently extra points and mark brainlist
Answer:
You got it right it is the second option
Step-by-step explanation:
I'm trying to level up and need 3 more brainliest so if possible can you mark me brainliest if not that's ok! :)
Answer: the last one
Step-by-step explanation:
Answer
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98
=9.8×10⁻¹
Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
Answer:
Answer:
1). Option (A)
2). Option (A)
Step-by-step explanation:
1). A worker bee has the mass = 0.00011 kg
In scientific notation we can convert the mass of bee as,
0.00011 =
=
Since 1.1 ≈ 1,
Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg
Option (A) is the answer.
2). An African elephant has a mass = 8139 kg
In scientific notation,
8139 = 8.139 × 10³
Since, 8.139 ≈ 8
Therefore, 8139 kg = 8.139 × 10³ kg
Option (A) is the answer.
Step-by-step explanation:
Hope this helps! ;)
Answer:
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
Step-by-step explanation:
give a description of the rules for the order of operation in your own words
Answer:
Order of opoation is a techniqe that gives us a easier way to figure out work
Step-by-step explanation:
Please mark me as brainiset
Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?
Answer:
Have a nice day!
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
Hi there!
This problem may seem tricky because of the negative sea level, os let’s set up an equation.
[tex]-275+x=-135[/tex] where x = the change in elevation.
Using orders of operations, add 275 to both sides and you will end with
x = 140
Her change in elevation is 140 feet.
I hope this helps!
Find the measure of angle b (15
Answer:
Angle b is 15 measure the scale
3x-2y=1x+4y=33 elimination process
Answer:
x = 5 ; y = 7
Step-by-step explanation:
3x - 2y = 1 --------------------(I)
x + 4y = 33 ------------(II)
Multiply equation (II) by (-3) and then add. So, x will be eliminated and we can find the value of y
(I) 3x - 2y = 1
(II)*(-3) -3x -12y = -99 {Now add}
- 14y = -98
y = -98/14
y = 7
Plugin y = 7 in equation (I)
3x - 2*7 = 1
3x - 14 = 1
3x = 1 + 14
3x = 15
x = 15/3
x = 5
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
PLEASE HELP!!!! Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
where is the picture
Step-by-step explanation:
Answer:
175
Step-by-step explanation:
plato/edmentum
Hello? STOP RIGHT THERE.... Please help me with this.
Answer: THE ANSWER IS 2 :)
Step-by-step explanation:
3(q+2) Do distributive property
3q=6 Divide 3q to both side
3q = 3q
q= 2 This is the answer
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
19 - k = 4.
I need help
Answer:
15
Step-by-step explanation:
first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!
Which graph represents y = √ X
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
ldentify the center and radius of the circle
(x-5)^2 + (y+1)^2=4.
Answer:
[tex] {(x - 5)}^{2} + {(y + 1)}^{2} = 4 \\ {(x - a)}^{2} + {(y -b) }^{2} = {r}^{2} [/tex]
Comparing both the equation we get,
(C) Centre:(5,-1), r =2Is 45 a multiple of 4? Explain your answer.
50
Which answer shows the proper use of the distributive property?
A. 2(a+b) = 2ab
B. 2(a+b) = 2a + b
C. 2(a+b) =2a+2b
D. 2(a+b) = a+2b
Answer:
c is showing the proper distributive property
Step-by-step explanation:
Write the ratio 21 wins to 9 losses as a faction in simplest form.
Answer: 7/3
Step-by-step explanation:
Divide both by 3
21/ 3 = 7
9 / 3 = 3
You get 7/3. Hope that helps!
Danny charges $45 for 5 hours of swimming lessons, Martin charges $24 for 2 hours of swimming lessons.
Who offers a better deal?
(select) offers the better deal.
Answer:
Danny charges $45 for 5 hours of swimming lessons
Answer: Danny
Step-by-step explanation:
45/5=9 and 24/2=12 Danny charges 4.5 an hour and Martin charges 6 an hour so Danny is better.
is the 24 and 32 are coprime number?
Answer:
32 and 24 are not coprime numbers.
suris age is 4 less than 3 times her cousins age. suri is 17 years old. which method can be used to find c, her cousins age?
What are the x-intercepts of f(x) = x(x + 1)(x - 4)(x+8)??
Answer:
f(x)= 3x^2+5x
Step-by-step explanation:
f(x)= x(x+1)(x-4)(x+8)
f(x) = x^2 + x + x^2 - 4x + x^2 + 8x
f(x) 3x^2 + 5x
Part A : At Mountain Park Middle school, there are 250 seventh-grade students who are not in advanced math. Let a represent the number of seventh-grade students who are not in advanced math?
Part B: How many students are NOT in advanced math?
Answer:
hard to explain
Step-by-step explanation:
Answer:I think 80 at bottom like
Step-by-step explanation:
ASAP PLS HELP
Which fraction is equivalent to 2 over negative 6 ? (5 points)
Select one:
a.
negative 2 over 6
b.
2 over 6
c.
negative 2 over negative 6
d.
6 over 2
Write an equation in slope-intercept form that is perpendicular to y = -7x + 3 and passing through (14.1).
Answer:
y = 1/7x -1
Step-by-step explanation:
1) Find the slope.
- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.
2) Use the point-slope form and substitute the values available. Then solve.
m (slope) = 1/7
(a, b) = (14, 1)
y - b = m(x - a)
y - 1 = 1/7(x - 14)
y - 1 = 1/7x - 2
y = 1/7x - 1
The result is your answer.
Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^
a circle has a center at (-2,7). if a point on the circle has coordinates (3,-1) then which of the following would be the length of the radius of the circle
Answer:
square root of 65 or 8.06
Step-by-step explanation:
(x-2)^2+(y-7)^2+65
hope this helps
The length of radius is 7.81 unit.
What is Distance Formula?The distance between two points P(a, b)a nd Q(c, d) is
D = √(c- a)² + (d- b)²
Given:
Center at (-2,7) if a point on the circle has coordinates (3,-1).
Using Distance Formula
D = √( 3-(-2))² + (1-7)²
D = √ (3 +2)² + (-6)²
D = √5² + 36
D = √25+36
D = √61
D= 7.81 unit
Hence, the length of radius is 7.81 unit.
Learn more about distance formula here:
https://brainly.com/question/28956738
#SPJ2
Which statement best describes the area of Triangle ABC shown below?
Group of answer choices
It is twice the area of a rectangle of length 4 units and width 5 units.
It is one-half the area of a rectangle of length 4 units and width 5 units.
It is twice the area of a square of side length 5 units.
It is one-half the area of a square of side length 5 units.
Answer:
C) It is one-half the area of a rectangle of length 4 units and width 5 units.
The total area of the triangle is 10, which we get by multiplying the height (5) times the base (4), which will be 20, and then dividing by 2, which is 10!
Given this information, we can start eliminating answers.
A) It is twice the area of a rectangle of length 4 units and width 5 units. This is answer is wrong, as the area of a rectangle with a length of 4, and a width of 5, is 20. Meaning that in order for this to be true, the area of the rectangle must be 40, which it is not.
B) It is one-half the area of a rectangle of length 4 units and width 5 units.
This is answer is right, as the area of a rectangle with a length of 4, and a width of 5, is 20, and half of that would be 10, which is half of the area of the triangle!
C) It is twice the area of a square of side length 5 units.
This answer is also wrong because the area of a square with side lengths of 5 would be 25, which is not half of the area of the triangle. In order for this to be true, the area of the rectangle must be 50, which it is not.
D) It is one-half the area of a square of side length 5 units.
This answer is wrong because the area of a square with side lengths of 5, would be 25, which is not twice the the area of the triangle. In order for this to be true, the area of the rectangle must be 12.5, which it is not.
Triangle ABC is reflected across line n to create A'B'C'.
C
57
59°
A
61
67
B
B
n
А
What is the measure of
Answer:
Angle C is 54 degrees
Step-by-step explanation:
Angle B is 67 degrees and Angle A is 59 degrees. You add those two together to get 126 and subtract that from 180 to get the measure of Angle C
The measure of angle C is 54°.
From the diagram given, triangle A'B'C is a reflection of triangle ABC, therefore, triangle A'B'C' is similar to triangle ABC.
This implies that:angle A = angle A' = 59°
angle B = angle B' = 67°
angle C = angle C' = ?
Therefore,angle C = 180 - (angle A + angle B) ---> Sum of angles in a triangle equals 180°.
Plug in the valuesangle C = [tex]180 - (59 + 67)\\[/tex]
angle C = 54°
Therefore, the measure of angle C is 54°.
Learn more here:
https://brainly.com/question/12757305
5 actions a good friend would make.
Answer:
1. respect your opinion
2. defend you/stand up for you
3. support your passions and goals
4. keep stuff you tell them to themselves
5. make you feel comfortable and like you can be yourself
Step-by-step explanation:
a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10