A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.
Answers
The experimental and theoretical probability for each result are:
Theoretical Experimental
P(5) 1/6 7/40
P( 1 or 6) 1/3 7/20
P(no more than 4) 2/3 21/40
P(greater than 2) 2/3 7/10
What is the probability?Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.
Theoretical probabilities:
P(5) = number of sides with 5 / total number of sides = 1/6
P( 1 or 6) = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides = 1/6 + 1/6 = 1/3
P(no more than 4) = number of sides that is no more than 4 / total number of sides = 4/6 = 2/3
P(greater than 2) = number of sides greater tha 2 / total number of sides = 4/6 = 2/3
Experimental probabilities:
P(5) = number of times there was a result of 5 / total number of times the die was rolled = 7/40
P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )
2/40 + 12/40 = 14/40 = 7/20
P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40
P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20
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paragraph explaining how the volume of a sphere in real world and mathmatical problems
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Answer:
We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by
Step-by-step explanation:
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You deposit $2500 into a bank account that pays 7.5% annual interest, compounded continuously. Find
the amount in the account after 6 years?
Answers
Answer:
16,125
Step-by-step explanation:
Mr. Wilson wants to buy a new
computer. The regular price is
$1,049. Mr. Wilson has a 20% off
coupon. After using the coupon,
he must pay a sales tax of 5.25%.
What is the final cost of the
computer?
Answers
1049*.20= 209.8
Subtract that from the original price.
1049-209.8=839.2
2. Find the sales tax of the computer after the discount.
839.2*.0525=44.058
Add that to your discounted total.
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So the final cost would be $883.26
Find the nth term of this number sequence
7, 10, 13, 16, ...
help please !!
Answers
Answer:
[tex]a_{n}[/tex] = 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
Answer:
The nth term = 3n + 4.
Step-by-step explanation:
The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.
So this breaks down simply to,
a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4
Miriam’s study group received test scores of 96, 81, 82, 99, 94, 92, 95, 82, and 80. find the mean and median scores. the mean is . the median is .
Answers
The mean, median, and mode of the given data are 89, 92 and 82 respectively.
Measure of dispersionThe measures of dispersion that we have are the mean, median and the mode.
The mean is the average of the given data
Mean = Sum/sample size
Mean = 96+81+82+99+94+92+95+82+80/9
Mean = 801/9
Mean = 89
Determine the medianMedian is the middle value after rearrangement
80, 81, 82, 82), 92, (94, 95, 96, 99
Hence the medianof the data is 92
Calculate the modeMode is the number occuring the most. Since 82 occurs the most, hence the mode is 82
The mean, median, and mode of the given data are 89, 92 and 82 respectively.
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Answer:
89 and 92
Step-by-step explanation:
Sketch the graphs. -3x+4y=-4
Answers
Answer:
(0,-1)
Step-by-step explanation:
Graph the line using the slope and the y intercept
y=mx+b form: y=3/4x-1
Answer:
(0,-1) (1.333, 0)
Step-by-step explanation:
Find the sum. 5/2x + 4/3y
A. 9/2x + 3y
B. 15y + 8x/6xy
C. 23xy/6xy
D. 3/2xy
Answers
Answer:
B
Step-by-step explanation:
[tex]\dfrac{5}{2x} + \dfrac{4}{3y}=\dfrac{15y+8x}{6xy}[/tex]
Under his cell phone plan, Oliver pays a flat cost of $49 per month and $5 per gigabyte. He wants to keep his bill at $73.50 per month. How many gigabytes of data can he use while staying within his budget?
Answers
$73.5-$49=$24.5
$24.5/$5 =4.9
He must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question,
Oliver pays a flat cost of $49 per month and $5 per gigabyte.
Let the number of gigabytes he consumes be x,
He wants to keep his bill at $73.50 per month. So,
49 + 5x = 73.50
5x = 73.50 - 49
x = 24.5/5
x = 4.9
He must not consume less or more than 4.9 gigabytes to maintain his bill at $73.50 per month.
Thus, he must consume only 4.9 gigabytes to maintain his bill at $73.50 per month.
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What is the value of the expression below when y=10y=10?
5y+3
5y+3
Answers
Answer:
53
Step-by-step explanation:
I assume the question is find the value of 5y+3 when y=10.
5y+3
5*(10)+3
= 50 + 3
=53
What is the slope of the line that passes through the points (4, 7) and (8, 9)
Answers
Answer:
y = 0.5x + 5
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line.
The slope formula is:
m = [tex]\frac{y{2}-y{1} }{x{2}- x{1} }[/tex] = [tex]\frac{y}{x}[/tex]
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
Now let's fill in the formula with the points,
m = [tex]\frac{8-4}{9-7}[/tex]
Solve,
⇒ Y = 9 – 7 = 2
⇒ X = 8 – 4 = 4
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Simplify,
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Therefore, the Equation of the line is y = 0.5x + 5.
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Answers
Answer:
84 square inches
Step-by-step explanation:
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Answers
Answer:
254.34
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Answers
The original version of a song is 270 seconds long.
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Answers
Answer:
The remix is 216 seconds long.
Step-by-step explanation:
Answer:
216 seconds
Step-by-step explanation:
270/5 =54
54*4=216 seconds.
Use the right formula from the image to find the length of the segment with endpoints at (2, 7) and (8, -1). Show your work.
Answers
Answer: i believe the correct formula is A
Step-by-step explanation:
For a school lunch you can get a
hamburger, hot dog, or chicken sandwich.
To drink you can get a soft drink or a
milkshake. List all of the different lunches
consisting of 1 sandwich and 1 drink are
possible below and give the total number
of possibilities as well.
Answers
Answer: Ham and soft
Ham and milk shake
Hot dog and soft
Hot dog and milk shake
Chicken and soft
Chicken and milkshake
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Step-by-step explanation:
what is the answer to In 3/4 of an hour Ryan codes 3/5 of his game. At this rate, how much of the game can he code in 1 hour?
Answers
Answer:
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Step-by-step explanation:
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Answers
Hope this is the right answer .
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Answers
Answer:
2nd one on the top row
last one on the bottom row
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Step-by-step explanation:
the negative slopes are the lines that go down towards the right side
so that would be the second one on the top row and the last one on the bottow row
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Answers
Answer:
The answer is 3
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The speedometer on Leona's car
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Answers
Answer: 24.86miles/hr
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Answers
Solve the rational equation by combining expressions and isolating the variable
Exact Form:
[tex]x=\frac{(121\sqrt{3}-12\sqrt{15})(4\sqrt{15}+\sqrt{3}+1)}{27842}[/tex]Decimal Form:
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1 part concentrate
to 2 parts water
If you put 140 ml of water in a glass,
how much concentrate should be added?
Answers
??:140
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Find the quotient of 2/5 and 4/5
Answers
Answer:
10/20 or 1/2
Step-by-step explanation:
Heres a picture to explain:
If the universal set contains natural numbers that are at most 25, and A is
the set of multiples of 3 that are less than 20, define A.
(Your answer should look like. { #,##} Do not put spaces between
comma and the number. )
Answers
The set A defined as a multiple of 3 that are less than 20 is given as:
A = {3,6,9,12,15,18}
What is a set?A set is a collection of elements in a defined order
How to write the universal setThe universal set U which contains natural number of at most 25 is given as
U = {1,2,3,4,5,6,7,8,9,10,...,25}
How to write the elements of set AThe set A defined as a multiple of 3 that are less than 20 is given as
A = {3,6,9,12,15,18}
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PLEASE HELP ASAP
NEEP HELP
Answers
Answer:
x = 14
Step-by-step explanation:
We have alternate interior angles that are congruent.
[tex]5x + 5 = 4x + 19[/tex]
[tex]x = 14[/tex]
The population of a city is modeled with the function P = 250,000e^0. 013t, where t is the number of years since 2000. In what year will the population reach 450,000
Answers
[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]
What is the correct answer NEED ANSWER ASAP
Answers
Answer:
f(-1) = 4
Step-by-step explanation:
Using the Quadratic Formula [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}, \frac{-b-\sqrt{b^2-4ac} }{2a}[/tex] our Polynomial to find our zeros values on the x-axis.
Any other factoring method that you can think and do can also work.
To find our (h,k) or origin we use this formula [tex]h=x=-\frac{b}{2a}[/tex] and then plug our h=x into the equation to get out k.
To find our y-intercept. Plugin x = 0 into the equation to get y.
I used the internet to factory your equation f(x) and got
f(x) = 2(4x+3)(x-1)
x = -3/4 , 1
Substitute -1 into the equation to solve f(-1).
f(-1) = 8*(-1)^2 - 2*(-1) - 6 = 8 + 2 - 6 = 4
f(-1) = 4
According to financial experts, a renter should allow 25% - 30% of their gross income for rent. Brandon makes $52,000 per year. What is the most he should spend on rent per month?