Subtract 9 from 13, then multiply the result by 2
Answers
Related Questions
If a store marks up merchandise by 40% on cost, what is the markup in dollars on an item costing $80?
Answers
A fair die is rolled repeatedly. Calculate to at least two decimal places:__________
a) the chance that the first 6 appears before the tenth roll
b) the chance that the third 6 appears on the tenth roll
c) the chance of seeing three 6's among the first ten rolls given that there were six 6's among the first twenty roles.
d) the expected number of rolls until six 6's appear
e) the expected number of rolls until all six faces appear
Answers
Answer:
a. 0.34885
b. 0.04651
c. 0.02404
d. 36
e. 14.7, say 15 trials
Step-by-step explanation:
Q17070205
Note:
1. In order to be applicable to established probability distributions, each roll is considered a Bernouilli trial, i.e. has only two outcomes, success or failure, and are all independent of each other.
2. use R to find the probability values from the respective distributions.
a) the chance that the first 6 appears before the tenth roll
This means that a six appears exactly once between the first and the nineth roll.
Using binomial distribution, p=1/6, n=9, x=1
dbinom(1,9,1/6) = 0.34885
b) the chance that the third 6 appears on the tenth roll
This means exactly two six's appear between the first and 9th rolls, and the tenth roll is a six.
Again, we have a binomial distribution of p=1/6, n=9, x=2
p1 = dbinom(2,9,1/6) = 0.27908
The probability of the tenth roll being a 6 is, evidently, p2 = 1/6.
Thus the probability of both happening, by the multiplication rule, assuming independence
P(third on the tenth roll) = p1*p2 = 0.04651
c) the chance of seeing three 6's among the first ten rolls given that there were six 6's among the first twenty roles.
Again, using binomial distribution, probability of 3-6's in the first 10 rolls,
p1 = dbinom(3,10,1/6) = 0.15504
Probability of 3-6's in the NEXT 10 rolls
p1 = dbinom(3,10,1/6) = 0.15504
Probability of both happening (multiplication rule, assuming both events are independent)
= p1 * p1 = 0.02404
d) the expected number of rolls until six 6's appear
Using the negative binomial distribution, the expected number of failures before n=6 successes, with probability p = 1/6
= n(1-p)/p
Total number of rolls by adding n
= n(1-p)/p + n = n(1-p+p)/p = n/p = 6/(1/6) = 36
e) the expected number of rolls until all six faces appear
P1 = 6/6 because the firs trial (roll) can be any face with probability 1
P2 = 6/5 because the second trial for a different face has probability 5/6, so requires 6/5 trials
P3 = 6/4 ...
P4 = 6/3
P5 = 6/2
P6 = 6/1
So the total mean (expected) number of trials is 6/6+6/5+6/4+6/3+6/2+6/1 = 14.7, say 15 trials
A farmer bought a number of pigs for $160. However, 8 of them died before he could sell the rest at a profit of 6 per pig. His total profit was $8. How many pigs did he originally buy?
Answers
Answer:
The farmer bought 36 pigs in all.
Step-by-step explanation:
Given that a farmer bought a number of pigs for $ 160, but, however, 8 of them died before he could sell the rest at a profit of 6 per pig, and his total profit was $ 8, to determine how many pigs did he originally buy the following calculation must be performed:
160 + 8 = 168
168/6 = 28
28 + 8 = 36
Thus, the farmer bought 36 pigs in all.
PLEASE ANSWER AS SOON AS POSSIBLE
Answers
Answer:
4 to 1
Step-by-step explanation:
Tablespoon of cocoa to Tablespoon of sugar
8 : 2
\(\frac{8}{2}\) : \(\frac{2}{2}\)
4 to 1
When recipe is doubled: ( 8 x 2) to (2 x 2)
16 : 4
\(\frac{16}{4}\) : \(\frac{4}{4}\)
4 to 1
It can be observed that the ratio remains the same
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
Answers
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
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Graphing and Solving Inequalities
m-1<-3
a
-4y <-20
5+b>1
-18
There is a graph underneath each one with lines and arrows.
Answers
The solution to inequalities are as follows.
What is inequality equation?
Inequalities are the mathematical expressions during which either side don't seem to be equal. In difference, in contrast to in equations, we tend to compare 2 values. The equal sign up between is replaced by but (or but or equal to), larger than (or larger than or equal to), or not capable sign.
Main body:
A) m-1 <-3
to solve this we need to take link terms to one side
= m< -3+1
= m < -2
B) -4y <-20
cancelling -ve sign on both sides,
= 4y <20
= y <5
C) 5+b>1
take link terms to one side
b > -4
Hence the graph is as given
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6.334*104=6.334*10<sup>4</sup>=
Answers
Answer:
what's that
Step-by-step explanation:
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answers
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.A bakery sells apple pies for $9.15. If the pie has a diameter of 6 inches, what is the approximate cost per square inch of the apple pie? Round to the nearest hundredth.
$1.30
$0.64
$0.32
$0.08
Answers
Answer:
The apple pies sell for a price is 0.64
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answers
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
How many schools have fewer than 50 classrooms
Answers
Answer:
7 schools have fewer than 50 classrooms.
The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 14 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 202 flights per hour.
187 180 183 212 193 200 185 188 200 206 196 210 217 222 222 183 189 222 214 191 219 191 194 208 188 211 210 229 220 190
Click here for the Excel Data File
(a) Set up a right-tailed decision rule at α = .025 to decide whether there has been a significant increase in the mean number of arrivals per hour.
(b) Carry out the lest and make the decision. Is it close? Would the decision be different if you used α=.01?
(c) What assumptions are you making, if any?
Answers
Answer:
Part A:
Since the calculated value of z falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.025 significance level.
Part B:
The calculated value of z =2.73 falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.01 significance level as well.
Part C:
We are assuming that the standard deviation of the population is equal to the standard deviation of the sample as n= 30 and it is a normal distribution.
Step-by-step explanation:
The population mean = u= 195
The population standard deviation = σ= 14
The sample mean = x`= 202
The sample standard deviation = s=
Sample size = n= 30
Let the null and alternate hypotheses be
H0: u ≤ 195 against the claim Ha: u > 195
The significance level ∝= 0.025
Calculating z
z= x`-u/σ/√n
z= 202-195/14/√30
Z= 7/14/5.477
z= 7/2.556
z=2.73
Part A:
The critical region for Z∝= 0.025 is Z>1.96 for right tailed test
Since the calculated value of z falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.025 significance level.
Part B:
The critical region for Z∝= 0.01 is Z > 2.33 for right tailed test
The calculated value of z =2.73 falls in the critical region we conclude that there has been a significant increase in the mean number of arrivals per hour at 0.01 significance level as well.
Part C:
We are assuming that the standard deviation of the population is equal to the standard deviation of the sample as n= 30 and it is a normal distribution.
Simplify 32 divided by 7 eigths
Answers
Answer:
256/7 = 36 4/7 =36.571
Step-by-step explanation:
Find the slope of the line through the following points
(3,-20) and (5,8)
m =
Answers
Answer: m=14
Step-by-step explanation:
To find the slope, we use the formula \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\). Since we are given 2 points, we can use those points to plug in.
\(m=\frac{8-(-20)}{5-3} =\frac{28}{2} =14\)
Our slope is m=14.
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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Does the expression x^3-1 divided by x^2 -1 simplify to x?
Answers
No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.
To simplify the expression, let's first factorize both the numerator and denominator.
The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).
The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).
Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:
[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]
The (x - 1) terms cancel out, leaving us with:
x^2 + x + 1 / (x + 1)
So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.
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Use the given property to complete the statement.
Distributive Property
3(x-1)= 3x - ?
A) -1
B) -3
C) 1
D) 3
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Answer:
It is D
Step-by-step explanation:
8) What is the length of segment CD in the diagram?
Answers
Answer:
1 or 2.
is this multiple choice? let me know
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Answers
Explanation
The square root of a number is “what number times itself”
2 x 2 = 4
3 x 3 = 9
7 is between 4 and 9 so C is the correct answer
James works in a post office and is paid $8 per hour. Last week, he worked
32 hours and this week he worked 33.25 hours. How much should his
biweekly (every 2 weeks) paycheck be for?
Answers
Answer:
James will receive a paycheck in the amount of $522.
Step-by-step explanation:
There are 2 ways you can go at finding the answer. The first way is by adding 32 hours and 33.25 hours together to get a total of 65.25 hours. Then multiply 65.25 hours by $8 to get $522. The second way is multiplying 32 hours by $8 and get $256. Then multiply 33.25 hours by $8 to get $266. Finally add $256 and $266 up and you get $522. I hope this helps you!
Keep getting this wrong please help!!!
Answers
Answer:
85 + 35=120
Step-by-step explanation:
85 + 35= 120
85 - 35= 50
the difference is fifty
How many cards are in a standard deck of cards? What are their colors?
Answers
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
what is the probability that a student will be in both chemistry and math but not Spanish round to three decimal places
Answers
Answer :
3/13
Explanation :
The probablity of an event = favourable outcome / total outcomes
Now in our case,
favorable outcome = 60
Total number of outcomes = 5 + 70 + 5 + 85 + 60 + 15 + 3 + 17 = 260
Therefore,
probablity = 60 / 260
= 3 /13
A 512 acre wooded area outside of town was turned into a preserve.
What is that in square miles if 1 square mile=640 ac
Answers
When a 512 acre wooded area outside of town turned into a preserve, then the square miles if one square mile equal to 640 acre is 0.8 square miles
The total wooded area outside of town = 512 acre
We know
1 square mile = 640 acre
Here we have to convert the acres to square miles
Then,
640 acre = 1 square miles
1 acre = 1/640 square miles
512 acre = (1/640) × 512
= 4/5 square miles
Convert the simple fraction to decimal number
4/5 square miles = 0.8 square miles
Hence, when a 512 acre wooded area outside of town turned into a preserve, then the square miles if one square mile equal to 640 acre is 0.8 square miles
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(True or False) ((22)3) = 25.
Answers
Answer:
22*3=66
Flase
Step-by-step explanation:
The equation ((22)3) = 25 is false.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is ((22)3) = 25.
We have to check whether the left hand side is equal to right hand side.
If the LHS and RHS are equal then the equation is true.
If not then it is false.
The value in LHS is 22×3 = 66
The value in RHS is 25
66 is not equal to 25
Hence, the equation ((22)3) = 25 is a false statement.
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What is the answer....................................................
Answers
Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.
Step-by-step explanation:
Use the graph of the parabola to fill in the table.
(a) Does the parabola open upward or downward?
upward
downward
(b) Find the coordinates of the vertex.
vertex: (2,-6)
(c) Find the equation of the axis of symmetry.
equation of axis of symmetry:
(d) Find the intercept(s).
For both the x- and y-intercept(s), make sure
to do the following.
If there is more than one, separate them
with commas.
If there are none, select "None".
x-intercept(s):
Answers
(b) The vertex is (2,-6).
(c) The equation of the axis of symmetry is x = 2.
(d) The x-intercepts are (0,12) and (4,12) and the y-intercept is (0,0).
42/2 +9=???
what is the answer and how do you find the answer?!
Answers
hhhhhhhhhhhheeeeeeeelllllllllllpppppppppppp me
Answers
determine the 2nd and 3rd terms of a geometric sequence of which T1 =5 and T4=40
Answers
Answer:
Second term of this sequence: \(10\).
Third term of this sequence: \(20\).
Step-by-step explanation:
The first step is to find the common ratio of this sequence.
In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let \(r\) denote the common ratio of this sequence. For this sequence:
The first term of this sequence is \(5\). Multiply the first term by the common ratio to find an expression for the third term: \(5\, r\).Multiply the second term by the common ratio to find an expression for the fourth term: \(5\, r^{2}\).Similarly, an expression for the the fourth term would be: \(5\, r^{3}\).However, the question states that the value of the fourth term is \(40\). In other words, \(5\, r^{3} = 40\).
Solve this equation for \(r\):
\(r^{3} = 8\).
\(r = 2\).
(Since the power of \(r\) is non-even in the equation, there's no need to consider the sign of \(r\!\) when taking the cube root.)
Substitute \(r = 2\) into the expression for the second term and the third term to find their values:
Second term: \(5\, r = 10\).Third term: \(5\, r^{2} = 20\).