Answer:
2.) s = 32
3.) y=10, x=80
Step-by-step explanation:
3.) x=y=90
10+80=90
80/8=10, so 80 is 10 times bigger
e ohio lottery has a game called pick 4 where a player pays $1 and picks a four-digit number. if the four numbers come up in the order you picked, then you win $3900. a) write the probability distribution for a player's winnings. fill in the table below. for the computer to grade this one correctly make sure that your x values are from smallest to largest.
The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.
To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.
There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.
To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:
Net Winnings = $3,900 - $1 = $3,899
The probability distribution for the player's winnings can be summarized in the following table:
| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0 | 0.9999 |
| $3,899 | 0.0001 |
Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.
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You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. A. What is the GCF of 27 and 54? B. Find two numbers that you could add to the set of 27 and 54 such that the GCF is now 9.
Answer:
A. GCF of both is 27
B. By adding 9 and 18 to the set, the GCF of the four numbers become 9
Step-by-step explanation:
A. The GCF of 27 and 54 is 27
GCF represents greatest common factor. It means the highest number which is both a factor of 27 and also a factor of 54. The highest number in this case is 27.
The factors of 27 are ;
1, 3 , 9 , 27
for 54
1,2,3,6,9,18,27 and 54
So we can clearly see that the highest factor in both case is 27
B. Now , we want to add two numbers that will make the GCF to be 9
What about adding 9 and 18?
Let’s have a look;
using the multiples of each;
9 - 1, 3 and 9
18 - 1, 2, 3 , 6 , 9 and 18
27- 1, 3 , 9 and 27
54- 1, 2, 3 , 6, 9, 18, 27 and 54
We can clearly see here that the highest factor that takes all four numbers into consideration is the number 9
How many ways can four guests sit in a row of six chairs so that the leftmost chair is used and the rightmost chair is empty?
Answer:96
Step-by-step explanation: Answer is 96 because you can do 16 times 3 which is 48 so for the fifth seat to the end will be 96 ways.
Hope this helps! :)
Help will mark brainliest!
By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:
x = 11m∠B = 108°m∠B = 36°m∠D = 36°How to find the value of x?Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:
m∠B + m∠C + m∠D = 180°
Then:
13x - 35 + 5x - 19 + 2x + 14 =180
20x -40 = 180
20x = 180 + 40
20x = 220
x = 220/20
x = 11
Now that we know the value of x, we can find the measures of the angles.
m∠B = (13x- 35)° = (13*11 - 35)° = 108°
m∠B = (5x - 19)° = (5*11 - 19)° = 36°
m∠D = (2x + 14)° = (2*11 + 14)° = 36°
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James has an ice cube tray that makes ice in the shape of spheres rather the cubes. Each sphere of ice a radius of 2cm. One tray makes 6 spheres.
The total volume of ice that the tray can make at one time is 201 cubic centimeters.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For semicircle the parameter is radius and for cylinder, the parameters are height and radius.
Given that,
Each sphere of ice has a radius of 2 cm
One tray makes 6 spheres
The total volume of each sphere is 33.51 cm³
The tray can hold 6 of these at a time
The volume will be calculated as:-
Volume = 33.5 x 6
Volume = 201 cubic centimeters
Hence, 201 cm³ is the total volume of ice that the tray can make at one time.
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prove that any graph of minimum degree at least three contains a cycle of even length.
Answer:
a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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The product of two consecutive integers is 19 more than their sum. Find the integers.A. 5,6 B. -4,-3 C. 4,5 or -4,-3 D. 5,6 or -4 , -3
The answer to the question is C, which is integers 4,5 or -4,-3.
Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2
The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.
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Which choices are equivalent to the expression below? 3sqrt5 + 8sqrt5
A. 24 start 5
B. 24 sqrt 10
C. 11 sqrt 10
D. 11 sqrt 5
Answer:
B. 24 sqrt 10
Step-by-step explanation:
Hope this helped.
Answer:
11√5
Step-by-step explanation:
just putting the question with the symbols here so its easier to find for others
Which choice is equivalent to the expression below? 3√5+8√5
A. 24√5
B. 24√10
C. 11√10
D. 11√5
Factor to write an equivalent expression
36a - 16
Answer:
4(9a-4)
Step-by-step explanation:
36a - 16
We can factor 4 from each expression.
4*9a - 4*4
4(9a-4)
Which of these statements are true? (Geometry- look at image)
Answer:
C
Step-by-step explanation:
If two angles of one triangle are congruent to two angles of another triangle then the triangles are similar by the AA postulate
. melitta found out that if she walks really fast during her morning exercise, she can cover 2 1/4 miles in 3/4 of an hour. how fast is she walking in miles per hour?
Melitta found out that if she walks really fast during her morning exercise, she can cover 2 1/4 miles in 3/4 of an hour.
Mellita is walking with a coverage of 2.8 miles per hour. We simply need to know how far she covers in an hour to calculate her walking speed in miles per hour.
Time taken to complete 2~1/4 miles is 3/4 of an hour. This is the time she can beat, so we have to find for the remaining 1/4th half of 2~1/4 miles i.e
Miles she can cover in 1/4 of hour = 1/4 * 2~1/4
= 1/4 * 9/4
= 9/16 miles.
Now, Add this to the miles that she can cover, i.e 2~1/4
= 2~1/4 + 9/16
= 9/4 + 9/16
= (36+9)/16
= 45/16
= 2.8 miles.
Hence, Melitta can walk 2.8 miles per hour.
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How do you solve this?
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
Using f(x) =x^2/3-2, determine if each statement below is true or false. Show the work that justifies your answer. The statements are A. F(6)=f(-6) B. F(6)=2 • f(3)
Answer:
\(f(6) = f(-6)\) --- True
\(f(6)=2 * f(3)\) --- False
Step-by-step explanation:
Given
\(f(x) = \frac{x^2}{3} - 2\)
Solving (a): f(6) = f(-6)
First, we solve for f(6) by substituting 6 for x in \(f(x) = \frac{x^2}{3} - 2\)
\(f(6) = \frac{6^2}{3} - 2\)
\(f(6) = \frac{36}{3} - 2\)
\(f(6) = 12 - 2\)
\(f(6) = 10\)
Next, we solve for f(-6) by substituting -6 for x in \(f(x) = \frac{x^2}{3} - 2\)
\(f(-6) = \frac{-6^2}{3} - 2\)
\(f(-6) = \frac{36}{3} - 2\)
\(f(-6) = 12 - 2\)
\(f(-6) = 10\)
We have that:
\(f(6) = f(-6) = 10\)
Hence, the statement is true
Solving (b): \(f(6)=2 * f(3)\)
We have that:
\(f(6) = 10\)
Next, we solve for f(3) by substituting 3 for x in \(f(x) = \frac{x^2}{3} - 2\)
\(f(3) = \frac{3^2}{3} - 2\)
\(f(3) = \frac{9}{3} - 2\)
\(f(3) = 3 - 2\)
\(f(3) = 1\)
\(2 * f(3) = 2 * 1\)
\(2 * f(3) = 2\)
So:
\(f(6)=2 * f(3)\)
\(10 \neq 2\)
Hence, the statement is false
Help
Algebra 2 please help answer 17
The natural logarithm function is ln(p) = ln(100) - 0.35t
How to determine the natural logarithm functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
The function can be represented as
p = ae^kt
Using the points on the table, we have
ae^(k * 0) = 100
So, we have
a = 100
This gives
p = 100e^kt
Using another point, we have
70.5y = 100e^(k * 1)
70.5y = 100e^k
So, we have
e^k = 0.705
Take the natural logarithm of both sides
k = ln(0.705)
k = -0.35
The function becomes
p = 100e^(-0.35t)
Take the natural logarithm of both sides
ln(p) = ln(100) - 0.35t
Hence, the function is ln(p) = ln(100) - 0.35t
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What is 327,437 INCREASED by 88,906?
Answer: 416,343
Step-by-step explanation: You add or increase 88,906 to 327,437. So, If we add, we get 416,343. Look at the attachment down below. I hope this helps.
Based on the lesson, identify the first operation needed to solve the following equation.
x/3 - 3 = 11
multiplication
division
subtraction
addition
PLEASE HELP ME WITH A MATH PROBLEM!!
Answer:
C.) Side-Angle-Side (SAS)
Step-by-step explanation:
Can anyone help me out pls I need to turn this in
Answer:
g-¹(2) = 1/2
h-¹ (x) = 11x + 13
(h⁰h-¹) (-1) = 11 (-1) + 13 = -11 +13 = 2
find the mode of the data set obtained after multiplying each value by 5
Mode
2 x 5 = 10
6 x 5 = 30
5 x 5 = 25
3 x 5 = 15
7 x 5 = 35
8 x 5 = 40
9 x 5 = 45
2 x 5 = 10
4 x 5 = 20
7 x 5 = 35
4 x 5 = 20
7 x 5 = 35
The mode is 35 because it is repeated 3 times.
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed. 11. AFLWAYLW by SAS
On this problem we have two triangles FLW and YLW. We know that the sides FL and LY are congruent and the side LW is shared between the two triangles. Therefore we know that two sides are congruent, we don't know however if the angles F and Y are congruents, there is no indication of that, so we can't prove that it is congruent, because we need to know if the angles are congruents.
According to the synthetic division below, which of the following statements are true? Check all that apply.
Answer: d, f
explanation:
What is the length of the unknown leg of the right triangle? 2 ft and 5 ft (The figure is not drawn to scale.) Question content area bottom Part 1 The length of the unknown leg of the right triangle is enter your response here ft. (Round to one decimal place as needed.)
Answer: 4
Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.
Evaluate −12(−2). (1 point) 14 −14 −24 24
Answer:
-12(-2) = 24
14 - 14 - 24 + 24 = 0
Hope this answers your question!
Answer:
24
Step-by-step explanation:
Multiply. Note the rule of multiplying:
2 negative numbers: If you multiply two negative numbers, the answer will be positive.
1 negative number & 1 positive number: If you multiply 1 negative & 1 positive number, your answer will be negative.
Multiply: -12 * -2 = 24
24 is your answer.
~
Triangle CDA is the image of triangle ABC after a 180° rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180° rotation around the midpoint of segment BC.
Answer:ABCD and ABEC are parallelograms because they both have a pair of parallel lines.
DCE AND CEB are congruent angels
The Robinon family had a gallon of ice cream. The family ate 1/3 of a gallon on Wedneday 1/6 of a gallon on Thurday and 1/4 of a gallon on Friday. How much ice cream wa eaten?
Adding up the amount of ice cream eaten each day, we get:
1/3 + 1/6 + 1/4 = (1/3 + 1/6) + 1/4 = 1/2 + 1/4 = 3/4 + 1/4 = 1
So a total of 1 gallon of ice cream was eaten.
The amount of ice cream eaten on Wednesday was 1/3 of a gallon, so that's 1/3 * 1 gallon = 1/3 gallons.
The amount of ice cream eaten on Thursday was 1/6 of a gallon, so that's 1/6 * 1 gallon = 1/6 gallons.
The amount of ice cream eaten on Friday was 1/4 of a gallon, so that's 1/4 * 1 gallon = 1/4 gallons.
Adding up the amount of ice cream eaten each day, we get:
1/3 + 1/6 + 1/4 = (1/3 + 1/6) + 1/4 = 1/2 + 1/4 = 3/4 + 1/4 = 1
So a total of 1 gallon of ice cream was eaten.
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Write the equation of the line in slope - intercept form
The equation of line in slope-intercept form is y = 2x + 1
Q. What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
We know the equation of line is
y = mx + b
where,
m = slope
b = y - intercept
To form an equation we need to find 'b' and 'm'.
so, first find 'b' i.e, y - intercept
For that, you just need to see the red line cuts the y-axis at its sharp grid means not in middle of the grid.
So, by observing the graph we see y = 1 where the red line cuts the y-axis
so we get, b = 1 means y-intercept
Now, we need to find slope (m).
For that, we know slope = rise / run
So take any point on graph which is easily to recognize the (x,y) points on graph.
Here I take the point (2, 5).
Now mark that point and find rise and run values.
rise = 4 (count from y = 1 to y = 5 )
run = 2 (count from x = 0 to x = 2)
Now, put the values and get the slope.
slope (m) = 4 / 2
= 2
Now, put the y-intercept and slope values in equation of line .
y = mx + b
y = 2x + 1
Hence, the equation of line in slope-intercept form is y = 2x + 1
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Abd and dbc are linear pairs, and abd and evc are vertical angles. if mabd = 5(2x + 1), mdbc= 3x + 6, and mebc = y+135/2, select all statements that are true
The following statements are true:
mabd + mdbc = 180 degrees
mabd = mevc
What are the true statements given that abd and dbc are linear pairs, abd and evc are vertical angles, and the measures are given?According to the definition of linear pairs, the two angles add up to 180 degrees. Therefore, mabd + mdbc = 180 degrees.
According to the definition of vertical angles, they have the same measure. Therefore, mabd = mevc.
Since abd and evc are vertical angles, and mabd = mevc, then mabd = mebc. Therefore, we can substitute mabd in the equation mebc = y+135/2 to get 5(2x + 1) = y+135/2.
We can solve for y to get y = 10x + 260.
Now we can substitute this value of y into the equation mebc = y+135/2 to get mebc = 10x + 347.5.
Therefore, none of the statements in the question that mention mebc are necessarily true or false, since we don't have enough information about the value of x to determine its measure.
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Given the equation y = 3(2)x
Regarding the exponential function y = 3(2)^x, we have that:
We know that the graph has a y-intercept at (0,3), because the a-value is of 3.We know that the graph models exponential growth, because the b-value is of 2.The numeric value of the function at x = 3 is given as follows: 24.What is the exponential function?An exponential function is defined as follows:
y = ab^(x/n).
In which the parameters are defined as follows:
a is the initial value.b is the rate of change.n is the time needed for the rate of change.The function for this problem is given as follows:
y = 3(2)^x.
Hence the parameters are given as follows:
a = 3 -> y-intercept at (0,3).b = 2 > 1, hence exponential growth.At x = 3, the numeric value of the function is obtained as follows:
y = 3 x 2^3
y = 3 x 8
y = 24.
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Whoever Figures Out the name closest to mines wins !!
Answer:
hines?..................
Answer:
josiah
Step-by-step explanation: