Suppose that two balanced dice are tossed repeatedly and the sum of the two uppermost faces is determined on each toss. a) What is the probability that we obtain a sum of 3 before we obtain a sum of 7? Hint: Let A denote the event of a sum of 3. Let B denote the event of no sum of 3 or 7. Now, begin to list the out the sample space in terms of A and B - it should be recognizable in the lecture notes. Hint: A useful infinite series result when |z| < 1: 1 + z + z 2 + z 3 + z 4 + . . . = 1 1 − z
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Related Questions
2 copies of 1/10 write fraction for each statement
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2 copies of 1/10 can be written as 2/10
What is a fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here 2 copies of 1/10 thus 2×1/10=2/10
=1/5
Hence, 2 copies of 1/10 can be written as 2/10
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Gina has a collection of nickels and dimes worth $8.65. If she has 101 total coins,
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Answer:
Gina has 29 nickels and 72 dimes.
Step-by-step explanation:
Each nickel is $0.05, and each dime is $0.10.
If she has 101 total coins, we have:
\(nickel + dime = 101\)
All coins worth $8.65, so we have:
\(0.05nickel + 0.1 dime = 8.65\)
Multiplying the second equation by 20, and subtracting the result by the first equation, we have:
\(20(0.05nickel + 0.1 dime) - nickel - dime = 20*8.65 - 101\)
\(1nickel +2 dime - nickel - dime = 173 - 101\)
\(dime = 72\)
Then, finding the number of nickels, we have:
\(nickel + 72 = 101\)
\(nickel = 29\)
So Gina has 29 nickels and 72 dimes.
What is the sign of -456 +456
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Answer:
0
Step-by-step explanation:
-456 +456
( - , + ) = -
so answer is 0
Answer:
0
Step-by-step explanation:
bc i know
Help asap! Am=6 MB=4 AN=8
Answers
Answer:
AC = 13.3
Make proportional relationship:
\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)
Insert values
\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)
Cross multiply
\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)
Simplify
\(\rightarrow \text{AC}=13.3\)
Write and equation of a line that passes through the point (5, -9) and is perpendicular to the line 2x + 11y = 22
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The general equation of the line in slope - intercept form is :
\(y=m\cdot x+b\)Where m is the slope and b is y - intercept
Given the line : 2x + 11y = 22
We need to write it in slope - intercept form to find the slope of it
so,
\(\begin{gathered} 2x+11y=22 \\ 11y=-2x+22 \\ y=-\frac{2}{11}x+2 \end{gathered}\)So, the slope of the given line = -2/11
The required line is perpendicular to the given line
So, the product of the slope of the two lines = -1
So, if the slope of the given line is m , the slope of the required line will be = -1/m
So, the slope of the required line = 11/2
The equation of the required line will be :
\(y=\frac{11}{2}x+b\)Using the given point ( 5 , -9 ) to find the value of b
So, when x = 5 , y = -9
\(\begin{gathered} -9=\frac{11}{2}\cdot5+b \\ -9=\frac{55}{2}+b \\ b=-9-\frac{55}{2}=-\frac{73}{2} \end{gathered}\)so, the equation of the line is :
\(y=\frac{11}{2}x-\frac{73}{2}\)And the standard form will be :
\(\begin{gathered} 2y=11x-73 \\ \\ 11x-2y=73 \end{gathered}\)
Rewrite the equation from intercept form to standard form:
Intercept form: y =
(1 - 1)(x + 7)
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Answer:
x-y=-7
BTW thats a negative 7
Answer:
x-y= -7
Step-by-step explanation:
yea i checked it is -7
Solve the inequality for x.
4x – 8 > 40
Answers
Answer:
x is greater then 12
Step-by-step explanation:
Answer:
X > 12
Step-by-step explanation:
4x > 40 + 8
4x > 48
Divide both sides by 4
X > 12
Pls be careful with this, I am not sure if the sign changes
1. UV = 8 and WX = 5
TU=
WU=
TX=
TV=
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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.
Question 4 O Mark this question Megan was conducting a study to determine if there was a relationship between eating a whole foods diet and general overall health. For her study Megan's null hypothesis was that a whole foods diet would not have any impact on general health. Megan's alternate hypothesis was that eating a whole foods diet would cause improvements in health. If Megan completed her study, which of the following statements would indicate a Type I error? Megan's results show that a whole foods
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Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
A Type I error occurs when the null hypothesis is rejected, even though it is true.
In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.
Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.
This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.
So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
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A police officer invested $5,000 in a treasury bond paying 4.75% interest compounded quarterly. After 25 years, the value of the bond will be $16,280.08. If the police officer's investment was compounded continuously instead of four times per year, what would be the difference in the account balances after 25 years?
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Answer:
114.29
Step-by-step explanation:
i need step by step explaniton. judy has $3,024 dollars in her bank account she is planning to spend this money on buying tickets to disney world for her and 11 of her friends. two of judy's friends decided to help but the tickets and offered her $1,00 each. how munch did each ticket cost. (round the answer to the nearest whole number) this is a long divison problem.
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Answer:
uhh judy has $3.024 in her bank acc
She is buying tickets for 11 friends and including herself too that means 12
Two friends decided help to buy the tickets and offered $100 each i.e $200
So I'm guessing that the cost price of one ticket is $100
Now than since 2 people paid their ticket cost than that means only 10 people left
Than for buying tickets for 10 people would cost (10×100=1000)
So I guess buying the tickets cost 1000 or if we add other two people's cost than that makes 1200
No one is helping me :( Can someone please help me, I promise to mark brainliest.
A survey was conducted among 400 students of age
groups 7-12 years and 13-18 years to find their
favorite music genre. The students had to select any
one genre out of jazz, rock, and pop. Out of the 200
students in the age group 7-12 years who participated
in the survey, 142 liked rock or pop music. The total
number of students of both age groups who liked jazz
was 72.
Using a two-way table, compute the total number of
students in the age group 13-18 years who liked rock
or pop music.
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Answer: 186
Step-by-step explanation:
Jazz Rock or Pop
7-12: 200 - 142 = 58 142
13-18: 72 - 58 = 14 200 - 14 = 186
It is given that 142 out of 200 students in age group 7-12 like Rock or Pop.
Therefore, 200-142 = 58 in that age group like Jazz.
Total Jazz in both age groups is 72, so 72 - 58 (7-12: Jazz) = 14 students in age group 13-18 like Jazz.
There are 400 students total and 200 are in age group 7-12, which leaves 400-200 students in age group 13-18. 200 - 14 (13-18: Jazz) = 186 students in age group 13-18 like Rock or Pop.
Answer: 186
Step-by-step explanation:
The answer is 186 or D :)
Pablo shares 525 cupcakes in the ratio of 3:4 between his
bakery and a supermarket
How many cupcakes does the supermarket get?
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300 goes to the supermarket
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
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Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
In a math class, 9 pupils receive a grade of 90. If 18% of the class got 90, how many pupils are there in a class?
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Answer:
Let the total number of pupil be x.
Given that,
Number of pupils that received a grade of 90=9
Percentage of pupil that receive a grade of 90=18%
So,
18% of x=9
18x/100=9
x=50
Hence, there are 50 pupils in the class.
Clare made sugar cookies to share with her friends. She spent 1 hour and 10 minutes making the dough and 1 hour and 34 minutes baking the cookies. Then, she spent 1 hour and 16 minutes decorating the cookies with icing and sprinkles. It was 2:30 P.M. when Clare finally finished all of the cookies. What time did Clare start making the cookies?
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Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
A
B
-5-4-3 -2 -1 0 1 2 3 4 5 6 7 8
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2
ratio is 0.
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a
3:2 ratio is 3.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 1.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 2.
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Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2. Therefore, option D is correct.
Given that the point A is at -4 and the point B is at 6.
We need to find the point that divides AB into a 3:2 ratio.
One way to find the point that divides AB into a 3:2 ratio is to divide AB into 5 equal parts.
Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Therefore, option D is correct.
Option A is incorrect because the point that divides AB into a 3:2 ratio is not 0.Option B is incorrect because the point that divides AB into a 3:2 ratio is not 3.Option C is incorrect because the point that divides AB into a 3:2 ratio is not 1.
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Which sequences are geometric? Check all that apply.
–2, –4, –6, –8, –10, …
16, –8, 4, –2, 1
–15, –18, –21.6, –25.92, –31.104, …
4, 10.5, 17, 23.5, 30, …
625, 125, 25, 5, 1, ...
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A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?
2,801
19,531
19,607
97,655
Answers
Answer:
b
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
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What is (8 + (−2) − 4) and (3 − 5)
Answers
Step-by-step explanation:
(8+(-2)-4)
=8-2-4
=2
(3-5)
=-2
ANALYZING RELATIONSHIPS Data from North
American countries show a positive correlation
between the number of personal computers per capita
and the average life expectancy in the country.
a. Docs a positive correlation make sense in this
situation? Explain
b. Is it reasonable to
conclude that
giving residents
of a country
personal computers
will lengthen their
lives? Explain
Answers
Answer:
Can u add more context pls then I'll answer
Step-by-step explanation:
The corner store sells bananas at a rate of $2.50 per banana. If Jessica has $20.00 dollars, how many bananas can Jessica buy?
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Answer:
8 bananas
Step-by-step explanation:
Answer:
8 bananas
Step-by-step explanation:
64 hundredths + 8 hundredths add decimals
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Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
Find the vertex of the associated parabola. Does F reach a maximum or a minimum value at the vertex? Vertex (h,k) = Maximum or Minimum Value =
Answers
The vertex is a maximum if the leading coefficient is negative and it is a minumum, if leading coefficient is positive
How to determine the vertex and the typeFrom the question, we have the following parameters that can be used in our computation:
Calculate vertexDetermine the type of vertexThe required details are not given
So, I will provide a general explanation
A parabola is represented as
y = a(x - h)² + k
Where
a ≠ 0 and vertex = (h, k)
The required conditions are:
If a < 0, then the vertex is a maximumIf a > 0, then the vertex is a minimumRead more about parabola
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i really need to know what 100*35
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Hope this helps!
Based on the scatterplot, what is the best prediction of the amount of $ in sales when the temperature is at 21°C?
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Answer:
Between 400$ and 500$
Step-by-step explanation:
Draw a straight line that follows the scatterplot - either by guesstimating (best choice) or by applying any known method to extrapolate a line. Then it's just a matter of reading the y value corresponding to that x. Hardly a perfect image, but close enough since it's a prediction
what is 1 whole subtract 9/10 of a fraction
Answers
Answer:
1/10
Step-by-step explanation:
1 = 10/10
10/10 - 9/10 = 1/10
Good luck!
which is the best estimate for the sum of 2 7/8 + 2 4/5=
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Answer:
6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6
Write an equation in point-slope form of the line that passas through the point (-6,6) and has a slope of m=3/2
Answers
Answer:
2
Step-by-step explanation:
3