The correct option is option (d).
Using Combination,
Total 120, different samples of size 3 (without replacement) can be taken from a finite population of size 10.
Population size: The population is the entire group of guesses. A sample is a specific group for which you collect data. It is denoted by N.
Sample Size: The sample size is always smaller than the total size of the population. A sample is a subset of the population set. It is denoted by n.
we have given that , n = 3 and N = 10
Using the following formula for calculating the possible number of different samples of size 3 (without replacement) can be taken from a finite population of size 10.
Number of possible different samples of size n from Population size N = NCn = N!/n! (N-n)!
then we have, 10C3 = 10!/3! × 7!
=> 10×9×8/3×2 = 15×8 = 120
Hence, 120 different samples of size 3 (without replacement) is possible from Population of size 10.
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1 What is the cost to get into a Green Cab?
2 How much does it cost per mile for a Green Cab?
3 What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Cab?
1. $5
2. $2 for each mile
3.equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Green Caby=x+5
What is an explanation of the slope-intercept form?
Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.
1. The graph shows that the Green Cab will cost you $5 for a distance of 0 miles.
2. According to the graph, $1 is spent for every mile traveled.
3. Because y increases by the same amount for every 1 increase in x, the slope is 1.
The slope intercept form is y=mx+b.
m=slope
intercept b=y
Since we are aware that the slope is 1, we can enter it.
y=1x+b
=y=x+b
By looking at the graph and calculating what y equals when x is 0, we may get the y intercept.
It is the y intercept (0,5)
So that the equation is in slope intercept form, we may enter that.
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Describe the translation for the given preimage and image.
A (2,-6), A' (-4, -12)
x y
○ (x,y) → (-1/2-1/2)
O (x,y) →
O(x, y) →
O(x,y) →
(x + 6, y + 6)
(-2x, 2y)
(x - 6, y - 6)
Answer:
(d) (x, y) ⇒ (x -6, y -6)
Step-by-step explanation:
You want to know the transformation rule that translates A(2, -6) to A'(-4, -12).
TranslationThe amount of translation is the difference between the image coordinates and the original coordinates:
A' -A = (-4, -12) -(2, -6) = (-4 -2, -12 -(-6)) = (-6, -6)
The amount is added to the original coordinates to give the translated coordinates:
(x, y) ⇒ (x -6, y -6)
k(6)=
Evaluate functions from their graph
Answer:
0
Step-by-step explanation:
f(x) is basically y (or in this case k(x))
to find the k(6) we find the y value when x is 6
we look and the graph and see that it is 0
that is your answer
What is $938,835.81 rounded to the nearest $10,000?
Answer:
940,000.00
Step-by-step explanation:
The 8 goes into the 3 and since 8 is bigger than 5 or 4 it rounds it up to the next umber, which is 4
What is the slope of a line that is perpendicular to 6x = 3x - 9
Answer:
Slope: -2
Step-by-step explanation:
(This answer is if you meant to write 6y = 3x - 9)
First, change the standard equation form into a linear equation form, y=mx+b. To do this, divide both sides by 6 to get:
[tex]y=\frac{3}{6} x-\frac{9}{6}[/tex]
This can then simplify to:
[tex]y=\frac{1}{2} x-\frac{3}{2}[/tex]
In order to find the equation of a perpendicular line, you need to find the opposite reciprocal of the current slope:
[tex]y=-2x-\frac{3}{2}[/tex]
The slope is m, meaning that the slope of the perpendicular equation is -2.
Hope this helps!
8 more than triple a number is -8
Answer:
8+3x=-8
x=-5 1/3
Step-by-step explanation:
triple a number means to multiply by 3
More than is to add
8+3x=-8
-8. -8
3x=-16
x=-5 1/3
Hopes this helps please mark brainliest
Four integers have a mean of 14, a median of 14, a mode of 14 and a range of 4.
Find the four integer.
The fourth integer is 16.
Key skills needed: Casework, Mean, Median, and Mode
1) We start with 4 numbers _ _ _ _
2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.
3) The numbers would have to be:
_ 14 14 _
_ 14 14 14
The 2nd one does not work because the last number would have to be a 6 to have a mean of 14, but the range would not be 14.
4) So, our numbers are _ 14 14 _
5) The two numbers add up to 20 (in order to have a mean of 14. If you subtract the bigger one by the smaller one, it will be 14.
6) We can make a system: saying x is the bigger number and y is the smaller number.
x + y = 20
x - y = 14
Add both and you will get 2x = 32 (since the y values cancel out).
7) divide by on both sides, and x = 16.
8) To find y, we can plug x back in to one equation:
16 + y = 20
y = 4
Our smaller number is 4 and our bigger number is 16.
9) Therefore the numbers are: 4, 14, 14, 16
Hence the answers is, the fourth integer is 16.
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HELP PLEASE ASAP!! I NEED THE HELP!!
Answer:
First choice since the maximum amount of hot dogs sold is 125 and domain is found by the x-axis (x) not the y-axis (y)
The function f={(x,y)|y =mx+c} is a. Quadratic function b. Constant function c. Cubic function d. Linear function
⇒The given function is a linear function as we know the general equation of a straight line is y=mx+c
Option d is the answer.
PLEASE HELP NOW!! it's a very easy question ;( ty in advance. you'll save my life
Answer:
Step-by-step explanation:
1) (x-6)
2) (x-3)
3) x(x-3)(x-6)
Flight 168 carries 54 passengers, each with 2 suitcases.
Each suitcase has a mass of about 16 kg.
The airplane was built to carry 2250 kg of luggage.I
Is the flight over or under the limit? Explain.is the flight over or under the limit? Explain.
Answer:under
Step-by-step explanation:
so if you do 54times 2 it is 108so then you do 16 times 108 and you get 1728
Answer:
flight is under the limit
Step-by-step explanation:
1 suitcase=16kg
2 suitcases=16kgx2=32kg
1 passenger has 32kg
54x32=1728kg
54 passengers have 1728kg
1728kg is less than 2250kg which means flight is under the limit
A bag contains 30 red marbles and 15 purple marbles. Mr. Clark wants to add 270 marbles to the bag. He wants the ratio of red to purple marbles to remain the same. How many of each should he add? A. 70 red marbles 200 purple marbles B. 200 red marbles and 70 purple marbles C. 180 purple marbles and 90 red marbles D. 180 red marbles and 90 purple marbles
Answer: 20 PURPLE marbels
Step-by-step explanation:
no explanation
Answer:
the is 200 purple marbles 70 red marbles
Delon bought 2.9 pounds of fruit for a class party. The class ate 0.9 pounds of the fruit. How
much fruit is left?
The quantity of fruit left is 2 pounds which is the difference between the quantity bought by Delon and the quantity eaten by the class.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
The quantity of fruit has left the difference between the quantity bought by Delon and the quantity eaten by the class.
The quantity bought by Delon = 2.9 pounds
The quantity eaten by the class = 0.9 pounds
The quantity of fruit left = 2.9 pounds - 0.9 pounds
Apply the subtraction operation,
The quantity of fruit left = 2 pounds
Thus, the quantity of fruit left is 2 pounds
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Another pitcher on the team
allowed 5 hits in 33 innings.
How many hits is he likely to
allow in 4 innings?
Answer:
0.76 hits / per inning.
Step-by-step explanation:
Comment
Nor very many.
You are using a double ratio question.
Givens
5 hits
33 innings
x
5 innings
Formula
5 hits x
==== = =====
33 innings 5 innings Cross multiply
Solution
5 * 5 = 33* x Combine
25 = 33*x Divide by 33
25/33 = x
x = 0.760
Less than 1 hit per inning.
The function f(x) = 4x + 10 models the amount of money francis makes when babysitting for x hours. How much money will he make for 2 hours of babysitting work?.
The amount of money that he will make for 2 hours of baby sitting work is $18
The function is
f(x) = 4x + 10
The function f(x) is the amount of money Francis makes when babysitting for x hours
The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is dependent variable then the other variable will independent variable
The function
f(x) = 4x + 10
The number of hours x = 2 hours
Substitute the values of x in the function
f(2) = 4(2) + 10
f(2) = 8 +10
f(2) = $18
Hence, the amount of money that he will make for 2 hours of baby sitting work is $18
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“Every year 8.8 million hectares of natural forest are cut down – that’s an area the size of a football field every second.”
Based on these figures, calculate what the area of a football field equals.
Don't really understand the question, can you guys help please?
a rectangular tank that is 6912 ft3 with a square base and open top is to be constructed of sheet steel of a given thickness. find the dimensions of the tank with minimum weight.
The dimensions of the tank with minimum weight are 24*24*12 ft
What is rectangular tank?
There is a benefit to employing vertical cylindrical stores that are put behind the double glass as in the Trombe wall system because a rectangular tank that extends from floor to ceiling is relatively expensive to construct and must be constructed to withstand quite high hydraulic pressures.
The tank with minimum weight is the one with minimum surface area.
Let x= base width and base height
h= height of the tank
The volume of tank is :
v=hx²
substitute v=6912 ft³
6912=hx²
h= 6912/x²............(1)
Formula for the tank surface area is:
A=x²+4xh
On substituting h value and simplifying,
A=x²+(27.648/x)
Differentiate with respect to x and equate to zero
2x-(27.648/x²)=0
On simplifying,
x³=27648/2 = [tex]\sqrt[^3]{13824}[/tex]
x= 24
substitute x=24 into the equation 1
h= 6912/(24)²= 12 ft
So, the dimensions of the tank with minimum weight are 24*24*12 ft
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please answer fast and a explanation would be nice but doesn’t have to be there
The inequality in the slope-intercept form is y≥(3x/7)+3 when the graph is in of a linear inequality.
What is meant by slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's (1844)[2] and Todhunter's formulations of the equation for a straight line as y = mx + b and y = mx + c, respectively.
Let the linear equation be
y=m x +c
From the graph the lines are passing through the points (-7,0), (0,3)
Slope m =(3-0)/(0+7)
m=3/7
c=y-intercept
Therefore, c=3
Substitute the values in the above equation.
y=(-3/7)x+3
7y=3x+21
But, here we need to use the inequality which satisfies the shaded region.
Let us consider the point (1,2)
7(2)=3(1)+21
14=24 (But 14≠24)
Therefore, 14≥24
So, we have to use ≥ sign
7y≥3x+21
y≥(3x/7)+3
The inequality in the slope-intercept form is,
y≥(3x/7)+3
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Calculate the area of the triangle PQX.
The area of the triangle PQX is 9.8 cm².
Given,
on this circle
∠PQX = ∠SXR
since vertical angles are equal.
∠PQX = ∠XRS and ∠QPX = ∠XSR
since the angle is the same as the angle opposite the arc.
so triangle PQX is similar to triangle SRX
three angles are equal.
since two triangles are similar:
so, RX/QX = SX/PX = SR/PQ = 10/7
and since S Δ PQX = 1/2 . QX . PX . sin∠PXQ
SΔSRX = 1/2 . RX . SX . sin∠SXR
= 10/7 × 10/7
= 100/49
S Δ PQX = 49.SΔSRX/100
= 9.8 cm²
Hence we get the area as 9.8 cm²
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Please help me I will give you brainiest, please
x + 9 = 13
3x = 12
x + 5 − 9 = 0
2x + 5 = 17
5x − 3 = 17
x − 3 = 1
7x = 35
[tex]\frac{4x}{4} =4[/tex]
3( x + 4) = 15
8 + x − 5 = 7
QUICK If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line?
The required position of the -2.25 lies above the -2.25 on the vertical number line.
Given that,
If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line is to be determined.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
Since -2.5 is 0.25 lower than -2.25, and also the -2.25 is greater than -2.5.
So on the vertical number line, -2.25 lies 0.25 units above the number -2.5.
Thus, the required position of the -2.25 lies above the -2.25 on the vertical number line.
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Answer:
On the vertical number line, -2.5 is located below -2.25.
Step-by-step explanation:
edmentum answer. have a good day
There are four types of counters in a bag. The tables shows the numbers of each type of counter in the bag.
Yellow circle - 19
Green circle - 27
Yellow square - 14
Green square - 11
There are more green counters than yellow counters.
How many more?
Answer:5
Step-by-step explanation:
19 + 14 = 33
27 + 11 = 38
38 - 33 = 5
Write an inequality to match the situation. Use T for the variable.
The temperature in a refrigerator truck must be kept at or below 38 degrees Fahrenheit.
A ball has a mass of 50g and is revolving at the end of a string in a circle with a radius of 40cm. The Ball moves with a speed of 2.5m/s, or one revolution per second. What is the Centripetal acceleration (in m/s2)
The centripetal acceleration is 15.625 m/s²
From the question, we have
centripetal acceleration (a) = v²/r
where,
v is the velocity in m./s
r is the radius in m
a = v²/r
= 2.5²/0.4
=15.625 m/s²
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Find the equation of a line perpendicular y=1+2x that passes through the point (4,-4)(4,−4).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=1+2x\implies y=\stackrel{\stackrel{m}{\downarrow }}{2}x+1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{2\implies \cfrac{2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}[/tex]
so we're really looking for the equation of a line whose slope is -1/2 and that it passes through (4 , -4)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{1}{2}}(x-\stackrel{x_1}{4}) \implies y +4= -\cfrac{1}{2} (x -4) \\\\\\ y+4=-\cfrac{1}{2}x+2\implies {\Large \begin{array}{llll} y=-\cfrac{1}{2}x-2 \end{array}}[/tex]
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
13. Write an equation of the graph in slope-intercept form.
14. If misty has been traveling for 9 hours, how many miles of the trip does she have remaining?
15. If there are 50 miles in the trip remaining, how many hours has misty been traveling?
The Equation of the graph in slope-intercept form is 3y = 1350 - 100x
Misty will travel 150 miles after 9 hours
It will take misty 12 hours to cover 50 miles
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Equation of line in slope-intercept form is y = mx + c
let y be the distance in miles and x be the time in hours.
from the graph when x = 0, y = 450
substituting into the equation,
450 = 0(m) + c
c = 450 which is the intercept
Also from the graph, taking the point (3, 350)
when x = 3, y = 350
350 = 3m + 450
3m = 350 - 450
3m = -100
m = -100/3
SO the equation of straight line becomes
y = -100x/3 + 450
multiply through by 3
3y = -100x + 1350
if misty travel 9 hours that is x = 9, then y =
3y = -100(9) + 1350
3y = 450
y = 450/3
y = 150 miles
If there are 5o miles remaining,
y = 50, x =
3(50) = -100x +1350
100x = 1350 -150
100x = 1200
x = 1200/100
x = 12 hours.
The Equation of the graph is 3y = 1350 - 100x
Misty will travelled 150 miles after 9 hours
It will take misty 12 hours to cover 50 miles
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A businesswoman wants to determine the difference between the costs of owning and leasing an automobile. She can lease a car for $420 per month (on an annual basis). Under this plan, the cost per mile (gas and oil) is $0. 6. If she were to purchase the car, the fixed annual expense would be $4700, and other costs would amount to $0. 08 per mile. What is the least number of miles she would have to drive per year to make leasing no more expensive than purchasing?.
The least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.
Given:
She can lease a car for $420 per month (on an annual basis). Under this plan, the cost per mile (gas and oil) is $0.06. If she were to purchase the car, the fixed annual expense would be $4700, and other costs would amount to $0. 08 per mile.
Let x be the least miles.
420 * 12 + 0.06x < > 4700 + 0.08x
multiply by 100 on both sides.
504000+6x < > 470000+8x
97000 < > 2x
48500=x
Therefore the least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.
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The integer 2019 can be formed by placing two consecutive two-digit positive integers, 19 and 20, in decreasing order. Another example is 3534 (35,34). What is the sum of all four-digit positive integers greater 2019 can be formed in this way?
(A)476,681 (B)476,861 (C)478,661 (D)468,671 (E)468,761
Option (C) is the correct one and the sum of all four-digit positive integers greater than 2019 that can be formed in the given way is 476,661.
Given, the integer 2019 can be formed by placing two consecutive two-digit positive integers, 19 and 20, in decreasing order.
We have to find the sum of all four-digit positive integers greater than 2019 that can be formed in this way.
First number that can be formed in the given way is,
2120
and the last number that can be formed in the given way is,
9998
As, we can observe that the last two digits of all the numbers will make an A.P and in similar way the first two digits also make an A.P
So, first finding the sum of last two digits which is forming an A.P
first term be, 20 and last term be, 98
also, the number of terms be, 79
Sum = 79/2(20 + 98)
Sum = 79×59
Sum = 4661
So, the last two digits of the final answer will be 61 and 46 will add as carry.
Now, similarly finding the sum of first two digit numbers be
Sum = 79/2(21 + 99)
Sum = 79×60
Sum = 4740
on adding the carry of 46, we get
4740 + 46 = 4786
So, the sum of all four-digit positive integers greater than 2019 that can be formed in the given way is 476,661
Hence, option (C) is the correct one and the sum of all four-digit positive integers greater than 2019 that can be formed in the given way is 476,661.
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Write a sentence or example for each of these words.
Answer:
In algebra class, we are learning about the commutative property. We are also learning about coefficients and how to evaluate expressions. Another thing we are learning about is the order of operations where you have to simplify at the end, and in each problem there are terms and variables.
In the table the (p) profit is a function of the number of shirts sold (n) at a store
Which equation describes the relationship between n and p
p=4n+2 equation describes the relationship between n and p
How to find a function?
To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.
Here the coordinates are (1,6),(2,10),(3,14),(4,18)
take two coordinates arbitrarily
ie. (1,6) and (3,14)
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{14-6}{3-1}\\ = \frac{8}{2}[/tex]
=4
we know the equation
[tex]y-y_{0} = m(x-x_{0} )[/tex]
where [tex](x_{0},y_{0})= (1,6)[/tex]
y-6 = 4(x-1)
y-6 = 4x-4
y = 4x-4+6
y = 4x+2
here y is the profit and x is the number of shirts
∴p=4n+2
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