The probability that the number on each roll is strictly less than the number on the previous roll is 7/72
The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!
Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.
The number of such selections will be equal to the number of solutions to the following equation:
x1 + x2 + x3 + x4 + x5 + x6 = 4
where:
x1: number 1 in selections
x2: number of 2s in selection
.
.
x6: number of 6s in selection
The number of unique solutions of such an equation = 9, choose 5 = 126
Number of possible outcomes = 6^4 = 1296
Probability of favorable results = 126/1296=7/72
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You have a dog walking business. You charge based on the weight of the dogs. For a 45-minute walk your prices are:
For dogs that weight 0 up to 15 lbs. you charge $5.00.
For dogs between 15 lbs. and 45 lbs. you charge $7.00
Dogs over 45 lbs. you charge $9.00.
Answer the following questions:
1. If a customer has a 6 pound Chihuahua how much would you charge?
2. If a customer has a 65 pound Labrador how much would you charge?
3. Define the variables:
4. Write a piecewise function for dog walking business, including the conditional statement for the variables.
5. Graph the function.
PLEASE ANSWER ALL FIVE PLEASEEAAAA
Brian wants to fence in his triangular plot of farm land that measures 1.1 by 1.5 by 2.2 miles. Determine the angles at which the fences of the three sides will meet. 1.1 mi A 1.5 mi 2.2 mi B Rounding each angle to m/A 125 X = COMPLETE m/Ba DONE degrees
The angles at which the fences will meet is 27 , 38 ,114 degree.
What is a Triangle ?A triangle is a polygon with three sides , three angles and three vertices.
It is given that the triangle has sides
1.1 miles * 1.5 miles * 2.2 miles
The law of cosines can be used to calculate the angle
a² = b² + c² -2bc cosA
1.1² = 1.5² + 2.2² -2 *1.5 *2.2 cosA
A = 27.01 degree
Similarly
b² = c² +a² -2ac cosB
1.5² = 2.2² +1.1² -2 * 2.2*1.1 cos B
B = 38.27 degree
By angle sum property
Angle C = 180-38.27-27.01
C = 114.72 degree
Therefore , the angles at which the fences will meet is 27 , 38 ,114 degree.
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1 2 3 4 5 6 7 8 9 10 11 12 13
Mark this and return
If a new data point at 12 is added to the graph, which will
be true?
O The mean will increase, and the median will stay the
same.
O The median will increase, and the mean will stay the
same.
O The mean will increase more than the median, but
both will increase.
O The median will increase more than the mean, but
both will increase.
Answer:
The mean will increase more than the median, but both will increase.
[third option listed]
Step-by-step explanation:
the median of a data set is the number in the middle [when listed from lowest to highest in value]
1 2 3 4 5 6 7 8 9 10 11 12 13
is the current median
let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)
1 2 3 4 5 6 7 8 9 10 11 12 12 13
[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]
so, 7.5 is the current median
(this is an increase of 0.5)
--
the mean of a data set is what we commonly refer to as the "average"
[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]
1 2 3 4 5 6 7 8 9 10 11 12 13
mean of original data set:
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]
_______________________________________
13
[91 ÷ 13 = 7]
because our number is greater than our original mean [12 > 7], we know that the mean must increase:
[91 + 12 = 103]
[103 ÷ 14 ≈ 9.36]
[we had an increase of 2.36]
so, median increased by 0.5, mean increased by 2.36
so, both values increased, whilst the mean increased by more than the median [as to be expected]
you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]
hope this helps!! :)
Which graph shows the solution to the system of linear inequalities? Edge.
x + 3y > 6
y ≥ 2x + 4
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as
[tex]x + 3y > 6\\y \geq 2x + 4[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities.
What is the inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
From the graph, we have the solutions as
[tex]x > -0.857[/tex]
[tex]y\geq 2.276[/tex]
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pls help answer ASAP
Answer:
a: 1
b: -1
c: -3
Step-by-step explanation:
You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3
If area of a circle is 49/64 pie cm square,then find the circumference of the circle?
Answer:
7/4 * pi
Step-by-step explanation:
Area of circle = pi * r^2
Find radius:
pi * 49/64 = pi * r^2
49/64 = r^2
7/8= r
Circumference of circle = 2pi * r
2 * pi * (7/8) = 7/4 * pi
Assuming that the answer is in terms of pi as the question is in terms of pi
Help me please, i am dum
a) 50<x<60
b) 20<x<30
idek
The table shows the probability of how a certain score will
compare to a listed score on a popular video game. Use the
probability distribution to find the variance, o².
The variance of the probability distribution is 400
The Variables of X and their Probability Distribution.
To find Variance, first we should find out Mean and then Variance
The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)
The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.
Step – 1: Calculation of Mean Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)
Mean = X * P(X) Variance = Sum of (X – Mean)²*P(X)
X P(X) X*P(X)
-50 0.029 -1.45
-30 0.121 -3.63
-10 0.210 -2.1
10 0.485 4.85
30 0.145 4.35
50 0.010 0.5
Mean 2.52
X P(X) X - Mean (X – Mean)² (X – Mean)²*P(X)
-50 0.029 -52.52 2758.35 79.99216
-30 0.121 -32.52 1057.55 127.9636
-10 0.210 -12.52 156.7504 32.91758
10 0.485 7.48 55.950 27.13594
30 0.145 27.48 755.1504 109.4968
50 0.019 47.48 2254.35 22.5435
Variance=400.00
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Drag the boxes to order the decimals from least to greatest from left to right.
316.011
306.324
306.359
Answer:
306.324
306.359
316.011
Step-by-step explanation:
Hope it helped!
On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). a point is at (negative 3, 1). what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)? y – 1=negative three-halves(x 3) y – 1=negative two-thirds(x 3) y – 1= two-thirds(x 3) y – 1= three-halves(x 3)
The equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
Equation of a lineA line is the distance between two points. The equation of a line in point-slope form is expressed as:
y - y0 = m(x-x0)
Given the coordinates (-2, -4) and (2, 2) on the line, the slope is expressed as:
Slope = 2-(-4)/2-(-2)
Slope = (6)/4
Slope = 3/2
Find the equation of the line
y -(1) = 3/2(x-(-3))
y - 1 = 3/2(x+3)
Hence the equation, in point-slope form, of the line that is parallel to the given line and passes through the point is y - 1 = 3/2(x+3)
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Answer:
d
Step-by-step explanation:
Find the product of (x − 5)2.
Group of answer choices
x2 + 10x + 25
x2 − 10x + 25
x2 − 25
x2 + 25
Answer:
x² - 10x + 25
Step-by-step explanation:
The formula for squaring any binomial (an expression with two terms) is:
(a ± b)² = a² ± 2ab + b²
Let a = x and b = 5.
∴ Substituting:
(x - 5)² = x² - 2(x)(5) + (-5)²
= x² - 10x + 25
LCM of 18 , 25 , 35, 40 ,80 81 , and 72
Answer:
the LCM of 18 25 40 80 81 and 72 is 226800
i hope this helps you
Step-by-step explanation:
by which method
prime factorization , division or defination method
5|2x+6|=26...can someone answer this please
Answer:
x = -2/5 or x = -28/5
Step-by-step explanation:
Let's solve your equation step-by-step.
5(|2x+6|)=26
Step 1: Divide both sides by 5.
5(|2x+6|)/5 = 26/5
|2x+6|=26/5
Step 2: Solve Absolute Value.
|2x+6|=26/5
We know either2x+6= 26/5 r2x+6=−26/5
2x + 6 = 26/5(Possibility 1)
2x+6−6= 26/5 - 6 (Subtract 6 from both sides)
2x = -4/5
2x/2 = -4/5/2 (Divide both sides by 2)
x = -2/5
2x + 6=-26/5 (Possibility 2)
2x+6= -26/5 (Simplify both sides of the equation)
2x + 6 - 6 = -26/5 - 6 (Subtract 6 from both sides)
2x = -56/5
2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5
Answer:
x = -2/5 or x = -28/5
The cash price of a mobile phone is $540. Andrea bought the mobile phone by paying $42 monthly instalments over 15 months. Find the flat rate interest of the instalments, give your answer correct to 3 significant figures.
The rate of interest of the instalment is 13%
What is Instalments ?The part payment of a loan is called Instalment
It is given that
The Cash price is $540
Instalment of $42
Time = 15 month = 15/12 = 1.25 years
Total Amount paid = 42 * 15 =$630
Interest Paid is $90
90 = 540 * 1.25 *Rate
Rate = 13%
The rate of interest of the instalment is 13%
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About how many people moved away from the great plains states during the depression? 100,000 250,000 2.5 million 10 million
Answer:
the answer is 2.5 million
Step-by-step explanation:
About 2.5 million people moved away from the Great Plains states during the Great Depression.
What is the great depression?The 1930s saw a catastrophic economic collapse known as the Great Depression. It was the twentieth century's longest, most widespread, and deepest depression, affecting countries all over the world. The Great Depression began on October 29, 1929, with a stock market catastrophe in the United States known as "Black Tuesday."
This movement was called the Dust Bowl migration and was caused by a combination of factors including drought, soil erosion, and economic hardship.
Many people left the region in search of better opportunities and living conditions.
Therefore, 250,0000 people moved.
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A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation
to estimate the number of packages that would need to be randomly selected to find a package that was not
delivered on time. The student assigns the digits to the outcomes.Beginning at line 1, and starting each new trial right after the previou
trial, carry out 5 trials of this simulation.
Based on the 5 trials, what is the average number of packages the
led to be selected in order to find a package
that was not delivered on time?
The average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.
What is simple random sampling?With simple random sampling, each component of the population has an equal chance of being selected for the sample.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
A shipping company claims that 95% of packages are delivered on time.
From the table:
00- 04 is the package not delivered on time.
05-99 - package delivered on time.
The first simulation's third number, 31, 64, 04, is where you can locate an item that wasn't delivered on time.
The second simulation's second number, 34, 02, is the location of a late-delivered delivery.
The third simulation is equal to 96,00 - the second number, which is the location of a late package.
The second number where to find a shipment not delivered on time in the fourth simulation is 31,04
Where to find a box that wasn't delivered on time in the fifth simulation: 98, 01, second number
The average number = (3 + 2 + 2 + 2 + 2)/5
= 11/5
= 2.2
Thus, the average number of packages the led to be selected in order to find a package that was not delivered on time is 2.2 option first is correct.
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the number of cows in the field minus 12...
Answer:
maybe minus 12 there was no number of cows
Answer:
x - 12
Step-by-step explanation:
x represents the number of cows since we do not know the number
then "minus 12"
bada bing bada boom
PLEASE HELP
using the data that was collected,
determine the experimental probability of each outcome of
the die over the course of three games and write as a fraction, decimal, and percentage.
When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.
Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.
From the given collected data we can find out number of times each number came when the dice is rolled.
Number of times 1 came=3
Number of times 2 came=1
Number of times 3 came=4
Number of times 4 came=1
Number of times 5 came=3
Number of times 6 came=2
The probabilities are in fraction form:
P(1)=3/14
P(2)=1/14
P(3)=4/14
P(4)=1/14
P(5)=3/14
P(6)=2/14
The probabilities in decimal form:
P(1)=0.21
P(2)=0.07
P(3)=0.28
P(4)=0.07
P(5)=0.21
P(6)=0.14
The probabilities in percentage:
P(1)=21%
P(2)=7%
P(3)=28%
P(4)=7%
P(5)=21%
P(6)=14%
Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.
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Which of the following is a factor of x^3-7x-6?
A. X+3
B. X+4
C. X-2
D. X+1
5b+a-2c when a=2,b=1&c=3
5b+a-2c when a=2,b=1&c=3
5(1) + 2 - 2(3)
5 + 2 - 6
7-6
Answer: 1
What are the coordinates for point b?
a. (7, 0)
b. (0, 7)
c. (0, 8)
d. (1, 7)
The coordinates for point B are (a) (7,0)
Complete QuestionPoint B is located 7 units right of the origin. What are the coordinates for point b?
How to determine the coordinates?The origin is located as:
(0,0)
From the question, we understand that:
B ⇒ 7 unit right of origin
This means that:
B = (0 + 7, 0)
Evaluate the sum
B = (7,0)
Hence, the coordinates for point B are (a) (7,0)
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Answer:a
Step-by-step explanation:
15. 3x-5=3
16. 3(x-2) = 4(x + 3)
17. +3=
18. 2==
19. 4-2-3
X+2
20.-2-3-3
21. 쭉 = 큭
22. 2x-5-1=3-x
3. 2x + ==3(x-1)
4. 10x-1=x+4
5. k=8k-2
6. -x + 2 = 3x-27
4
7. 1-6x = -x +
B.
9. 2-(x + 1) = 2 + 5x
D. 2(1-x) = 10 - (x + 2)
. 9x - (4x - 5) = 3x - 11
x-9=3(x + 1)
-xx-2)-4=x+6▸
+ 2x
6(5-4x) = -4(5x + 11)
Answer:
tgnjfgznjE XVNJ
Step-by-step explanation:
rtjtejWEJAREfnndzjt
Answer:
15. 2.66
16. - 18
17. Impossible
18. Impossible
19. - 1
20. - 8
21.
Find the values of the variables indicated below
M=
K=
Answer:
m=120
k=60
Step-by-step explanation:
a trapezoid has 360 degrees. subtract 120 degrees to get 240 degrees. we know that m=2k. 240=2k+2k which is 4k. 240 is 4k. k=60. m=2k, so mulitply 60 by 2 to get m=120
Determine whether the given graph is a function or not.
Answer:
function
Step-by-step explanation:
The graph shows a function since it passes the vertical line test.
Mr. T has 784 marbles. he has 263 marbles more than Indie. how many marbles do they have altogether?
Answer:
Step-by-step explanation:
784-263=521
784+521=1305
answer=1305
Find the value [[23]] (step functions) helpp pls im so confused if you could also explain it :3
I assume [[x]] stands for "the largest integer smaller than or equal to x".
If x is already an integer, then x itself satisfies the definition. 23 is an integer that is equal to 23. So [[23]] = 23.
The graph below shows the solution to which system of inequalities?
Answer:
C
Step-by-step explanation:
The horizontal line, y=2, is solid and shaded above, so it represents
[tex]y \geqslant 2[/tex]
The slanted line, y=x is dashed and shaded below, so it represents y<x.
Answer
Answer is A
Step-by-step explanation:
Which quadratic inequality does the graph below represent?
The quadratic inequality represented by the graph is:
y ≤ 2x² - 8x + 3
Which quadratic inequality does the graph below represent?
First, we can see that the shaded region is below the parabola, and the line of the parabola is solid, which means that the points on the parabola are solutions, then the inequality is:
y ≤ quadratic equation.
Now we need to get the quadratic equation.
Now, if you look at the y-intercept, you can see that it happens at y = 3. Then the constant term of the quadratic equation is 3.
The only one that has that (and the ≤ symbol) y-intercept is the first option:
y ≤ 2x² - 8x + 3
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which graph correctly represents 3x+y > 7
Answer:
What graph? add a photo?
help … fr …. D: D: D: D:
Step-by-step explanation:
Let x be mixture x liters and y be mixture y liters.
We need a total of 4 liters so
[tex]x + y = 4[/tex]
Mixture x is 20% saline solution
Mixture Y is a 10% saline solution
4 liters of a 15% saline solution is 60% saline solution.
[tex].20x + .10y = 0.6[/tex]
So a is the system of equations,
Using Elimination, eliminate the variable x.
[tex] - 5(.20x + .10y) = 0.6[/tex]
[tex]( - x - .50y) = - 3[/tex]
Add to the first system.
[tex]0.50y = 1[/tex]
[tex]y = 2[/tex]
Plug this into the of system of equations, to find x
[tex]x + 2 = 4[/tex]
[tex]x = 2[/tex]
So our solution is (2,2) We would need 2 liters of Mixture X and 2 liters of Mixture Y