Answer:
21 drawings
Step-by-step explanation:
The number labelings are 0 - 49
The minimum set that could be the same number is the labeling 0, 10 , 20
It could also be 1, 11, 21 or even 2,12,22
In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20
That makes a total of 21 drawings
Following are the response to the given question:
Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]
We possess five balls which conclude with the number 0 [tex]\text{(ball \ 0, ball\ 10, ball\ 20, ball\ 30, and\ ball\ 40)}.[/tex] We possess five balls which conclude with the digit 1[tex]\bold{(ball\ 1, ball\ 11, ball\ 21, ball\ 31, ball\ 41)}.[/tex] .....I have five balls that end in the number 9 [tex]\text{(ball\ 9, ball\ 19, ball\ 29, ball\ 39, and ball\ 49)}.[/tex]Each digit ending is represented by five balls.
In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.
Box 0: we place balls that end in the digit 0. Box 1: we place balls that end in the digit 1. .....Box 9 is where we put balls that end in the number 9.According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).
[tex]k + 1 = 3 \\\\k =2[/tex]
Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.
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Why does the series not exist?
Step-by-step explanation:
(7n − 5) / (2n + 5) approaches 7/2 as n approaches infinity. However, this is an alternating series. So the function is fluctuating between -7/2 and +7/2. So the limit does not exist.
9(r) = -1 - 77
Evaluate function
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
find the slope (5,4) (5,9)
Answer:
undefined
Step-by-step explanation:
To find the slope between two points, we can use the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (5, 4) and (5, 9) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]m=\frac{9-4}{5-5}=\frac{5}{0}[/tex]
Note, we cannot divide by zero. By using the slope formula, we get that the slope is undefined.
I hope this helps. Happy studying.
It is well known that generally a female's growth spurt occurs before a male's; therefore the
female's height data will likely be higher than the male's data.
Discuss this idea in a well-structured paragraph. Use your calculations of the mean, median, mode
and range of the data to support your decision.
Answer:
Most girls start their sexual development between the ages of 8 and 13 (the average age is 12), and have a growth spurt between the ages of 10 and 14.
Most boys start developing sexually between the ages of 10 and 13, and continue to grow until they're around 16.
this my help
y=5x-7
-3-2x=12 for x
Answer:
4 2/3
lmk if this is correct or not
Step-by-step explanation:
5x-7-3-2x=12
5x-4-2x=12
3x-2=12
3x=14
14/3
x=4.666 or 4 and 2/3
Which of the following lists the numbers shown below in order from least to
greatest? Please hurry
Which order pairs are solutions to the equation 4x+2y=4
Answer:
Slope=2.000/4.000
−2.000x−intercept= 22
=1y−intercept= 12
=2.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(4)=0
Pull out like factors :
4x + 2y - 4 = 2 • (2x + y - 2)
Solve : 2 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solve 2x+y-2 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-2 = 0 and calculate its properties
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 2/1 = 2.00000
When y = 0 the value of x is 1/1 Our line therefore "cuts" the x axis at x= 1.00000
x-intercept = 2/2 = 1
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.000 - 2.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
What is the midpoint between 10,-3 and -4,-9
Answer:
(3,3)
Step-by-step explanation:
Use the midpoint formula to find your answer. The formula is [tex](x_{1} +x_{2} /2; y_{1} +y_{2} /2)[/tex].
If that equation looks funny then let me explain. You need to add 10 and -4 together, then divide it by 2. You also need to add -3 and -9, then divide that by 2.
Can someone explain the snake method, I don't understand how to do it
Answer:
x ∈ [−2; 1] ∪ 3.5Step-by-step explanation:
GivenInequality: (x-1)(x+2)(2x-7)≤0
Solution:If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots
x = -2, 1, 3.5We need to consider the following 4 intervals:
(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)1st interval (−∞; −2)
The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.2nd interval [−2; 1]
The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.3rd interval (1; 3.5)
The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.4th interval
The expression is positive as above, and therefore also does not satisfy the inequality.So, the answer to the inequality is:
x ∈ [−2; 1] ∪ 3.5!!!!HELPPPPPPPP ASAP!!!!
Answer:
first one is -1
second one is 0
third one is 6
last one is 2
Step-by-step explanation:
**100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million?
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/
Answer:
28 weeks
Step-by-step explanation:
It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.
1. $42 x 3 = $126
2. $126/$4.5 = 28
3. The answer is Sharon has been saving her allowance for 28 weeks.
Hope this helps!
-Jerc
Answer:
She has been saving her money up for 28 weeks.
Step-by-step explanation:
1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 42•3=126
2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
I don’t understand what this means
Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
120 different ways
Step-by-step explanation:
So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.
To do that, we have to split into sets.
Set A: 4 Theme Parks
Set B: 6 Passes
Set C: 5 Food Options
Now we have to multiply the sets.
4 x 6 x 5 = 120
Therefore, the answer is 120 different ways.
The various steps of a food chain or web are known as ______. These explain where an organism sits on an ecological pyramid.
Answer:
Trophic Level
Step-by-step explanation:
The first trophic level is of producers (green plants). The second trophic level is of primary consumers also known as herbivores, third of carnivores, or secondary consumers, fourth is of tertiary consumers also known as top carnivores.
MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO
Answer:
fwe
Step-by-step explanation:
Which measurement statement is correct?
Answer:
What do you need help with?
Imagining that she’s taking a summer job working at a local entertainment complex your hourly wage is six dollars you will work 40 hours per week and be paid every other week for a total of 16 weeks use the figure provided estimate your gross pay for the summer and each pay period
Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.
Answer:
Option (B)
Step-by-step explanation:
Given number is 6642.
Number at ones place = 2
Number at tens place = 4
Number at hundredth place = 6
Number at thousand place = 6
Value of the number at tens place = 4 × 10 = 40
Value of the number at hundreds place = 6 × 100 = 600
Value of the number at thousand place = 6 × 1000 = 6000
Number at thousand place = 10 × (Number at hundreds place)
Therefore, Option (B) will be the answer.
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?
Answer: 42
Step-by-step explanation:
The required perimeter of the regular hexagon is 42 m.
Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.
Perimeter is the measure of the figure on its circumference.
here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42
Thus, the required perimeter of the regular hexagon is 42 m.
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Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?
Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.
To Find : The width of the frame .
Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;
[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]
Where , l is the length of the rectangle and b is the breadth of the rectangle .
⇒ Perimeter = 2 ( l + b ) .
⇒ 52 in. = 2 ( 12 + x ) in.
⇒ 52 in.= 24in. + 2x .
⇒ 2x =( 52 - 24 ) in
⇒ 2x = 28 in.
⇒ x = 28/2 in.
⇒ x = 14 in.
Hence the width of the rectangle is 14 inches.
1/2 times 4 /please answer for me :)
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
A student states that the constant of proportionality is 2.5 since 10 - 7.5 = 2.5.
I NEED HELP FOR MY TEST!
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Answer:
Brand A ($2) is more expensive than Brand B ($1.50) (see below)
Step-by-step explanation:
First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.
Using the slope formula:
y2 — y1
m = ---------------
x2 — x1
Plug in any two points from both lines:
y2 — y1
m = --------------- = graph 1 (0, 0), (1,2)
x2 — x1
2 — 0
m = ---------------
1 — 0
2
m = --------------- = $2/m
1
_______graph 2_______
y2 — y1
m = --------------- = graph 2 (0, 0), (4, 6)
x2 — x1
6 — 0
m = ---------------
4 — 0
6 3
m = --------------- = ----------- = $3/2 m
4 2
Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:
$3 = $x
2m = 1m
Cross multiply:
3 (1) = 2x
3 = 2x
x = (3 ÷ 2)
x = 1.5
So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.
Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.
The average rate of change of the function over the interval 2 < x < 10 is 5
How to determine the average rate?The function is given as:
h(x) = x^2 - 7x + 8
Calculate h(2) and h(10)
h(2) = 2^2 - 7 * 2 + 8
h(2) = -2
h(10) = 10^2 - 7 * 10 + 8
h(10) = 38
The average rate is then calculated as:
Rate = (h(10) - h(2))/(10 - 2)
This gives
Rate = (38 + 2)/(10 - 2)
Evaluate
Rate = 5
Hence, the average rate of change of the function over the interval 2 < x < 10 is 5
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12-14 plzzz if u see the picture
Answer:
I can't see it very well sorry
HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
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The product of the number g and the opposite of 7 is equal to k.
Change to an algebraic expression
Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
8 X (10 – 3)?
Yes
No
If yes, fill in the blanks below.
8 x (10 - 3) = ( , ) - ( , )
Answer:
Yes
80-24
Step-by-step explanation:
Using distributive property, multiply 8 by 10 and 8 by negative 3.