Answer:
[tex]area = \frac{1}{2} \times 11 \times 18 \\ = 99 \: {ft}^{2} [/tex]
On a particular day, 112 of 280 passengers on a particular DTW-LAX flight used the e-ticket check-in kiosk to obtain boarding passes. In a random sample of eight passengers, use the binomial model to find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Answer:
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Population of 280, which means that [tex]N = 280[/tex]
112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]
Sample of eight passengers means that [tex]n = 8[/tex]
Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
This is P(X = 4). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]
0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.
True or False
More than one phylum of animals are invertebrates
Answer:
True
Step-by-step explanation:
The largest animal phylum is also included within invertebrates
Consider the following graph of y = f (x). Please help
Answer:
f. for the x values I think its -1 & 5
Qs. If three masons construct a wall in.
four days . In how many days, five such
masons can construect wall.
Answer:
2.5 days
Step-by-step explanation:
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
Step-by-step explanation:
Part A= 59.11
Part B: i think is B
I hope this helps :))
Answer:
Step-by-step explanation:
Part A : 59.11
Part B: the answer is B. You keep the same amount of decimal places in the problem in your product. we had 2 so we have 2 decimal places in 5911 ---> 591.1 --->59.11
Use the picture below to answer the question that
follows.
Which is the volume of the cylinder
Answer:
___y141.3cm is the answer
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
I need help with the answer.
The answer is A, 13
Step-by-step explanation:
The easy way to solve it was to plug in every answer to see which was equal to 32 since both sides were identical.
PLEASE HELP PLEASE I NEED TO KNOWW
Answer:
35.25
Step-by-step explanation:
Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:
[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:
[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:
[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:
[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:
t = 4.8 years
I need the answer to this pls.
Answer:
C
Step-by-step explanation:
I need the answer fast pls
Answer:
the answer is probably C
Answer:
the answer is B
Step-by-step explanation:
because the minimum score is 5
Express 5 cm in metre and kilometre.in decimals........................
Answer:
0.05 metre
5×10^5 kilometer
1.9685
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answer:
Step-by-step explanation:
12/35
Which function equation is represented by the graph?
PLEASE HELP
Answer:
calculator
Step-by-step explanation:
calculator
: If Newton Manufacturers has an accounts receivable turnover of 4.8 times and net sales of $7,812,379, what would its receivables be?
Answer:
$1,627,579
Step-by-step explanation:
Given that
The account receivable turnover is 4.8 times
And, the net sales is $7,812,379
We need to find out the receivable
So as we know that
accounts receivable turnover = net sales ÷ average accounts receivables
Therefore the accounts receivables is
= ($7,812,379 ÷ 4.8)
= $1,627,578.96
= $1,627,579
The expression 4c - 3 is equal to _ when c = -2
Answer:
-11
Step-by-step explanation:
let f(c) = 4c - 3
f(-2) = 4(-2) - 3 = -8 -3 = -11
Answer:
-11
Step-by-step explanation:
4c - 3
c = -2
4(-2) - 3
-8 - 3
-11
4c - 3 = -11 when c = -2
Five percent of all cars manufactured at a large auto company are lemons. Suppose two cars are selected at random from the production line of this company. Let x denote the number of lemons in this sample. Write the probability distribution of x.
what dose 2 + 2 = ?????????
Answer: 4
Step-by-step explanation:
Just add
Answer:
4
Step-by-step explanation:
just add or if you can't then use a calculator
Find the degree measure 7pi/4 radians
The degree for 7pi/4 is : 315°
Describe the transformation that takes F(x)=x+1 to g(x)=-x+4
Answer:
g(x) = -f(x) +5
Step-by-step explanation:
The sign on the 'x' changes, this implies a reflection.
g(x) = -f(x) = -(x+1) = -x -1
Now apply a vertical translation 'up 5' to f(x)
g(x) = -f(x) + 5 = (-x-1) +5 = -x +4
Which choices are equations for the line shown below? Check all that apply.
(-2, 4)
(1-2)
Answer:
A, C and F.
Step-by-step explanation:
Equation of a line:
The equation of a line has two formats:
[tex]y = mx + b[/tex]
Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).
And in point-slope form:
[tex]y - y(0) = m(x - x(0))[/tex]
In which (x(0),y(0)) is the point and m is the slope.
Slope:
When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So
Change in y: -2 - 4 = -6
Change in x: 1 - (-2) = 1 + 2 = 3. So
m = -6/3 = -2.
Equation in slope-intercept:
The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:
[tex]y = -2x[/tex], so option A is marked.
Equation if point-slope:
Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So
[tex]y - y(0) = m(x - x(0))[/tex]
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
So option C is correct.
Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So
[tex]y - y_0 = m(x - x(0))[/tex]
[tex]y - (-2) = -2(x - 1)[/tex]
[tex]y + 2 = -2(x - 1)[/tex]
So option F is correct.
Answer:
Options A, C and F are correct.
Which fact is related to 12 : 3 = 4
Answer:
3x4 = 12 is the most related fact to 12:3 = 4
Step-by-step explanation:
NO LINKS!!! NOT AN ASSESSMENT OR TEST!!!! NOT MULTIPLE CHOICE!!
a. Sketch a graph to model Seattle's cost structure over the domain [0, 42,000]. Be sure to label the axes and any endpoints where the graph breaks.
b. Describe the function over each part of its domain. State whether it is constant, increasing or decreasing, and state the slope over each part.
Part (a)
The graph is shown below. It's a piecewise function composed of 3 parts: Two flat horizontal segments and a decreasing segment.
Note the use of open holes at points C and E. They tell the reader that the specific point is not part of the function. For example, point C at (8000,0.75) is an open hole since the second piece has x = 8000 excluded. In other words, the domain for the second piece is [tex]8,000 < x \le 20,000[/tex] which says to exclude 8000 but to include 20,000.
============================================================
Part (b)
The flat parts are due to the two first pieces being constant functions. Regardless of what x is on those portions, the cost per unit stays the same. We see that the cost starts off at 35 cents per unit (green segment), then it jumps to 75 cents per unit (blue segment).
So far the costs have been constant, but once we get to the red curve portion, then the costs decrease as x increases. Note that 1/(200,000) = 0.000005 which means the costs are decreasing by 0.000005 dollars per unit. Let's multiply that by 10,000 to get 10,000*0.000005 = 0.05
So for the red portion, the costs are decreasing by $0.05 per 10,000 units, or they are decreasing by 5 cents per 10,000 units. When x > 20000, the lowest we can get the cost is at 62 cents per unit. This is when production is at max capacity (42,000 units).
If you wanted the cost per unit to be as small as possible, and x didn't have to be larger than 20 thousand, then you'd stick to the green line. However, the drawback here is that you can only produce at max 8000 units.
Answer:
Person above was super helpful!
Step-by-step explanation:
Liza, Cecilia,and Dylan are playing soccer. Liza and Cecilia are 120 feet apart. Dylan is in between them. If Dylan is standing the same distance from both girls, how many feet is Dylan from Liza?
Answer:
60 feet
Step-by-step explanation:
You need to find the midpoint between 0 and 120. (0+120)/2 is 60 feet.
Line passes through the point (2,10) and has a y-intercept of 4. what is the equation of the line?
Answer:
y = 3x + 4
Step-by-step explanation:
y = mx + b
b = y-intercept so:
b = 4
Since 4 is the y-intercept that means (0, 4).
To find slope:
m=(y2-y1)/(x2-x1)
m=(4 - 10)/(0 - 2)
m= (-6)/(-2)
m= 3
Slope-intercept:
y - y1 = m(x - x1)
y - 10 = 3(x - 2)
y - 10 = 3x - 6
y = 3x + 4
The LCD of …
A. 3
B. 3(x-5)^2
C. 3(x-5)
D.x-5
Answer: [tex](c)[/tex]
Step-by-step explanation:
Given
Fractions are[tex]\dfrac{x^2-5x+6}{x-5}[/tex] and [tex]\dfrac{x^2-1}{3(x-5)}[/tex]
LCD of the two fractions is the least common denominator
[tex]\text{LCD}\{x-5,3(x-5)\}=3(x-5)[/tex]
Thus, option (c) is correct.
Simplify the expression
2(6x + 3)
hi nessaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa :>
Answer:1 1/15
Step-by-step explanation:
2/3 x 5= 10/15
2/5 x 3= 6/15
Both denominators have to be the same so you can add them together.
10/15 + 6/15=16/15 or 1 1/15