The gas mileage of cars more than 20 years old is a normally distributed data set with a mean of 23.04 miles per gallon and a standard
deviation of 3.31.
What is the z-score of a car that gets 29 miles per gallon?
1.800 is the z-score of a car that gets 29 miles per gallon.
Mean μ = 23.04 miles per gallon
a standard deviation σ = 3.31 miles per gallon
the z-score of a car that gets 29 miles per gallon
\(Z = x -\)μ /σ
Z = \(\frac{29- 23.04}{3.31 }\)
Z = 1.800
What is standard deviation?Standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of the variance by determining the deviation of each data point from the mean.
If the data points are farther from the mean, there is more variance within the data set; therefore, the wider the data is spread, the larger the standard deviation.
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BRAINLEST IF CORRECT!!!!
x + 133 = 180
x = 180 - 133 (Linear Pair)
x = 47
Therefore x° = 47°
Answered by Gauthmath must click thanks and mark brainliest
Answer:
47
Step-by-step explanation:
reason: Being sum of supplement angle
HELP ILL GIVE YOU BRAINLIEST
Determine the absolute maximum value of the function f.
Answer: I think 7
Step-by-step explanation:
What is the area of this figure
Answer:
153.86
Step-by-step explanation:
Divide the diameter by 2 to find the radius
14/2=7
A=3.14(\(7^{2}\))
A=3.14(49)
A=153.86
Answer:
The answer is 153.86 I believe.
Step-by-step explanation:
The radius is half the diameter, so r = 7. You have to square the 7 which gives you 49. Then multiply the 49 by 3.14 for pi. The answer you get is 153.86
Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. What is the probability that Sky scored at least two goals? Express your answer as a common fraction.
To solve this problem, we can use the binomial probability distribution. Let's define a "success" as scoring a goal and a "failure" as missing a goal.
Then, each attempt by Sky can be considered a Bernoulli trial with probability of success p = 1/2.
Let X be the number of goals that Sky scores in five attempts. Then, X follows a binomial distribution with parameters n = 5 and p = 1/2.
To find the probability that Sky scores at least two goals, we need to calculate the probability of the following events:
P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
We can use the binomial probability formula to calculate these probabilities:
P(X = k) = (n choose k) * \(p^k\) *\((1-p)^(n-k)\)
where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n distinct items.
Using this formula, we get:
P(X = 2) = (5 choose 2) * \((1/2)^2\) * \((1/2)^3\) = 10/32
P(X = 3) = (5 choose 3) * \((1/2)^3\) * \((1/2)^2\) = 10/32
P(X = 4) = (5 choose 4) * \((1/2)^4\) *\((1/2)^1\) = 5/32
P(X = 5) = (5 choose 5) * \((1/2)^5\) * \((1/2)^0\) = 1/32
Therefore, the probability that Sky scores at least two goals is:
P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = (10 + 10 + 5 + 1)/32 = 26/32 = 13/16
So the probability that Sky scored at least two goals is 13/16.
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The total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.
Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. So the probability that Sky scored at least two goals is 13/16.
To find the probability that Sky scored at least two goals, we can use complementary probability, which means finding the probability that she scored fewer than two goals (either 0 or 1 goal) and subtracting that from 1.1.
Probability of scoring 0 goals: Since there are 5 attempts and she is equally likely to make a goal or miss (1/2 chance for each), the probability of missing all 5 is (1/2)^5 = 1/32.2.
Probability of scoring 1 goal: Sky could score in any of the 5 attempts, so we need to consider all possible ways of scoring one goal.
There are 5 ways (score in the 1st, 2nd, 3rd, 4th, or 5th attempt). The probability for each of these scenarios is (1/2)^5 = 1/32.
Therefore, the total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.
To express this as a common fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:26/32 = (26/2) / (32/2) = 13/16So the probability that Sky scored at least two goals is 13/16.
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there are 19 members in a committee. in how many different ways can a president vice president secretary and treasure be chosen
Given:
Total members in the committee = 19
Let's find the number of ways a president, vice president, secretary and treasurer can be chosen.
Here, we are to use permutation formula:
\(^nP_r=\frac{n!}{(n-r)!}\)Where:
n = 19
r = 4
Thus, we have:
\(\begin{gathered} ^{19}P_4=\frac{19!}{(19-4)!} \\ \\ ^{19}P_4=\frac{19!}{(15)!} \\ \\ =\frac{19*18*17*16*15!}{15!} \\ \\ =19*18*17*16 \\ \\ =93024 \end{gathered}\)Solving further:
Therefore, the number of ways they can be chosen is 93024 ways.
ANSWER:
93024 ways
simplify 3x-5+9x
6y-7+8y ty
Answer:
See attachment below
Step-by-step explanation:
Use the long division method to find the result when 4x^3+23x^2 + 21x + 30 is
divided by x +5.
Answer:
A polynomial is an algebraic expression made up of two or more terms subtracted, added, or multiplied. A polynomial can contain coefficients, variables, exponents, constants, and operators such as addition and subtraction.
It is also important to note that, a polynomial can’t have fractional or negative exponents. Examples of polynomials are; 3y2 + 2x + 5, x3 + 2 x 2 − 9 x – 4, 10 x 3 + 5 x + y, 4x2 – 5x + 7) etc. Like number, polynomials can undergo addition, subtraction, multiplication, and division.
We saw addition, subtraction, multiplication, and long division of polynomials previously.
hope it helps make brainlliest ty
Karen earns £12.80 an hour for a 35 hour week, time and a half on the next 6 hours and double time after that. How much does she earn for a 43 hour week?
Answer:
I hope the image helps!
write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).
What are three types of arrays?The three types of arrays are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?
An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.
What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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Construct a dpda that accept the language L = {a"b": n>m} (Hint: consume one a at the beginning and break the perfect match between a and b when n == = m) 4. Find a context-free grammar that generates the language accepted by the npda M = ({q0, q1}, {a, b}, {A, z}, 8, q0, z, {q1}), with transitions 8 (q0, a, z) = {(q0, Az)}, 8 (q0, b, A) = {(q0, AA)}, 8 (q0, a, A) = {(q1, λ)}.
A DPDA is constructed to accept the language where the number of 'a's is greater than the number of 'b's. A corresponding context-free grammar is also provided.
To construct a DPDA that accepts the language L = {a"b": n>m}, where n represents the number of 'a's and m represents the number of 'b's, you can follow these steps:
1. Initialize a stack with a special symbol Z representing the bottom of the stack.
2. Start in state q0.
3. Read an 'a' from the input, pop A from the stack, and stay in state q0.
4. If the input is empty, halt and accept if the stack is empty. Otherwise, reject.
5. Read a 'b' from the input and push two A's onto the stack.
6. Repeat steps 4-5 until the input is empty.
7. If the stack is empty, halt and accept. Otherwise, reject.
Here's a brief explanation of the DPDA: Initially, it consumes one 'a' and replaces it with the symbol A. For each subsequent 'b', it pushes two A's onto the stack. At the end, if the number of 'a's (n) is greater than the number of 'b's (m), the stack will be empty, and the input is accepted.
For the given NPDA M = ({q0, q1}, {a, b}, {A, z}, δ, q0, z, {q1}), the corresponding context-free grammar can be constructed as follows:
1. Start symbol: S
2. Non-terminals: S, A
3. Terminals: a, b
4. Production rules:
- S → aA
- A → aA | bAA | ε
The non-terminal S generates the initial 'a', and A generates the subsequent 'a's and 'b's. The production rules allow for the generation of any number of 'a's followed by 'b's, including the possibility of generating no 'a's at all (ε represents an empty string).
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A chef uses a bowl shaped like the one below to prepare her avocado lime sauce. Due to the amount of mixing involved in this recipe she does not want to fill the bowl up entirely to the top. She estimates she can only fill the bowl up to about 2/3 its capacity. What is the volume of contents the chef will be able to fill the bowl with using her estimation?
Answer: DON'T COPY AND PASTE!! a-lot of people say they get a plagiarism charge so try to switch or add more words to this but i hope it helps!!!
Step-by-step explanation:
Claim - The volume of the bowl is 715.17
evidence - The hemisphere has a radius of 8
- so its volume is 2/3πr³ r = radius
= 2/3 × π × (8)³
she can fill = 2/3 × 2/3 × 22/7 × (8)³ cm³
= 715.17cm³
reasoning - Therefore according to my calculations The volume will be 715.17 cm³
A company sells bicycle locks with a combination made of 3 numbers. Each number can be any digit from 0 to 9 and the digits may be
repeated.
One of these locks is chosen at random. What is the probability that the middle digit is 0?
A
1000
B. 27
CHO
Answer:
1/10
Step-by-step explanation:
There can be 10 total digits in the tens place: 0,1,2,3,4,5,6,7,8,9
if the middle is 0 the probability is 10%
The probability that the middle digit is 0 is 1/10.
What is the combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
A company sells bicycle locks with a combination made of 3 numbers.
Each number can be any digit from 0 to 9 and the digits may be repeated.
One of these locks is chosen at random.
There can be 10 total digits in the tens place: 0,1,2,3,4,5,6,7,8,9.
The probability that the middle digit is 0 is given by;
\(\rm Probability=\dfrac{Probability \ of \ middle \ digit \ 0}{Total \ number \ of \ digits}\\\\\ Probability=\dfrac{1}{10}\)
Hence, the probability that the middle digit is 0 is 1/10.
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Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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Can someone Help me with this:
Felipe’s solution to an equation is shown below:
Given: x^2+6x+8=0
Step 1: (x+2)(x+4)=0
Step 2: x+2=0 or x+4=0
Step 3: x= -2 or x= -4
Which property of real numbers did Felipe’s use for step 2?
A. Distributive property of multiplication over addition
B: Multiplication property of equality
C. Commutative property of multiplication
D: Zero product of multiplication
Answer:
D. Zero product of multiplication
Step-by-step explanation:
The given equation is presented as follows;
Given: x² + 6·x + 8 = 0
By factorization, to find numbers represented by variables, 'a' and 'b', such that a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation
Step 1: (x + 2)·(x + 4) = 0
Given that (x + 2) × (x + 4) = 0, we have
Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication
The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero
Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0
By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0
Therefore, we have;
Therefore;
Step 3: x = -2 or x = -4
The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.
$624 = $12t
What is the unit rate in the equation above?
A.
$624 per raffle ticket
B.
$52 per raffle ticket
C.
$612 per raffle ticket
D.
$12 per raffle ticket
Answer:
B. 52 per raffle ticket
Step-by-step explanation:
you divide 624 by 12 giving the answer of 52
Evaluate the following expression 1/5^-2
a) 25
b) 1/25
c) -25
d) -1/25
Answer:
i think its 25!!! not completely sure tho
Where to find the slope and y intercept
Answer:
slope: 1
y-intercept: 3
Step-by-step explanation:
The y-intercept is where the line passes through the y axis. It passes through at 3. The slope is 1 because if you apply rise over run it is 1/1 which simplifies to 1.
Hope this helps :)
Answer:
y intercept = 3 slope or m=1
Step-by-step explanation:
y=3 m=1
What is the simplified form of each radical expression?
b. ³√a¹²b¹⁵
The simplified form of ³√a¹²b¹⁵ is a⁴b⁵. To simplify, divide the exponents inside the radical by the index of 3.
The simplified form of the radical expression ³√a¹²b¹⁵ is a⁴b⁵.
1. To simplify the given radical expression, we need to divide the exponents inside the radical by the index, which in this case is 3.
2. Dividing 12 by 3 gives us 4, and dividing 15 by 3 gives us 5.
3. Therefore, the simplified form of ³√a¹²b¹⁵ is a⁴b⁵.
The simplified form of ³√a¹²b¹⁵ is a⁴b⁵. To simplify, divide the exponents inside the radical by the index of 3.
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The given expression is ³√a¹²b¹⁵. To simplify this radical expression, we need to find perfect cube factors of the variables under the cube root. The simplified form of ³√a¹²b¹⁵ is a¹²b¹⁵.
Let's break down the given expression:
³√a¹²b¹⁵
To simplify, we can rewrite a¹² as (a³)⁴ and b¹⁵ as (b³)⁵. Now the expression becomes:
³√(a³)⁴(b³)⁵
Using the property of exponents, we can bring the powers outside the cube root:
(a³)⁴ = a¹²
(b³)⁵ = b¹⁵
Now the expression simplifies to:
³√a¹²b¹⁵ = a¹²b¹⁵
So, the simplified form of ³√a¹²b¹⁵ is a¹²b¹⁵.
In this case, there are no perfect cube factors, so the expression cannot be simplified further.
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At a conference promoting excellence in education, special-edition books were selected to be given away in contests. There were 8 books written by Author A, 6 books by Author B, and 8 books by Author C. The judge of one contest selected 7 books at random for prizes. Find the probability that the selected consisted of the following. Complete parts (a) through (e) below.
Question content area bottom
Part 1
a. 2 Author A books and 5 Author C books.The probability is enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
Part 2
b. Exactly 3 Author B books.The probability is enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
Part 3
c. 2 Author A, 4 Author B, and 1 Author C book.The probability is enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
Part 4
d. At least 5 Author A books.The probability is enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
Part 5
e. No more than 2 books written by Author B.The probability is enter your response here.
(Type an integer or decimal rounded to four decimal places as needed.)
The probability that the selected books consisted of 2 Author A books and 5 Author C books is 0.0457.
The total number of ways to select 7 books from 22 books is 22C7 = 1540.
The number of ways to select 2 Author A books and 5 Author C books is 8C2 * 8C5 = 224.
Therefore, the probability that the selected books consisted of 2 Author A books and 5 Author C books is:
p = 224 / 1540 = 0.0457
Part 2
The probability that the selected books consisted of exactly 3 Author B books is 0.0938.
Part 3
The probability that the selected books consisted of 2 Author A, 4 Author B, and 1 Author C book is 0.0085.
Part 4
The probability that the selected books consisted of at least 5 Author A books is 0.3028.
Part 5
The probability that the selected books consisted of no more than 2 books written by Author B is 0.8294.
The probability of each of the events in parts (a) through (e) can be calculated using the following formula.
The total number of outcomes is the number of ways to select 7 books from 22 books, which is 22C7 = 1540.
The number of successful outcomes for each event is given in the problem.
The probabilities for each event can then be calculated using the formula above.
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13
12
20
Find the area
Answer:
no clue
Step-by-step explanation:
yo how you people doing what's -25 - 57 + 35 ?????
Answer:
-47
Step-by-step explanation:
you don't you use the calcaulator
hii please help i’ll give brainliest if you give a correct answer
Answer:
i think it'll be the first one and the last one
Step-by-step explanation:
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value of the test corresponding to study a was found to be 0. 40. and the p-value for study b is 0.80
The entire area under the crucial range of values on both sides of the curve in a two-tailed test represents the likelihood of occurrence (negative side and positive side)
As a result, the connection below provides the probability values for a two-tailed test when compared to a one-tailed test.
Here
By replacing the supplied value in the previous equation, we obtain -
values of the probabilities for a two-tailed test
p-value = P (alpha/2) + P (alpha/2)
p-value = 0.40 + 0.40
=0.8
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Wrealized loss of $40,000. Realized loss of $10,000. Unrealized gain of $30,000. A. Moving to another question will save this response
To calculate the net gain or loss, we need to consider both the realized and unrealized components. Therefore, the net gain/loss is -$20,000. This indicates a net loss of $20,000.
The net gain or loss is calculated by adding the realized gains or losses and the unrealized gains or losses:
Net Gain/Loss = (Realized Gain/Loss) + (Unrealized Gain/Loss)
Given the information provided:
Realized Loss = $40,000
Realized Loss = $10,000
Unrealized Gain = $30,000
Net Gain/Loss = (-$40,000) + (-$10,000) + $30,000
Net Gain/Loss = -$50,000 + $30,000
Net Gain/Loss = -$20,000
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Find the area of the sas triangle with side lengths 29 and 36 and included angle 62 degrees.
The area of triangle is 460.89 unit square.
Given:
lengths of rod, a = 29 and b = 36 ,
angle between them (θ) = 62
We know that in a general triangle of side a,b,c and angles A,B,C ,
we can write area of triangle (Δ) is
Δ = absinθ/2
Δ = 29*36sin62/2
Δ = 460.89 unit square.
hence, the area of triangle is 460.89 unit square.
#123
The area of the SAS triangle is 460.89 cm³.
Given data;
Side length (a) = 29
Side length (b) = 36
With an angle of Ф = 62°
Here, it is stated that the triangle is a SAS triangle which is known as the Side Angle Side triangle.
Now, to calculate the area of a given triangle, we use the formula as;
Area = a*b*sinФ/2
From the above formula;
Area of the SAS triangle = a*b*sinФ/2
= [29*36*sin(62°)]/2
= 460.89 cm³
Hence, the area of the SAS triangle is 460.89 cm³.
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Start with a male and a female rabbit. After a month, they mature and produce a litter with another male and female rabbit. A month later, those rabbits reproduce and out comes — you guessed it — another male and female, who also can mate after a month. After a year, how many rabbits would you have?
Answer:
24 thereabouts
Step-by-step explanation:
Well every two months there are two new rabbits so I multiplied two and twelve. This got me twenty-four. I hope this helps! :) I don't know if this is right or not I attempted this in my head.
Answer:
The answer is D
Step-by-step explanation:
Took the test
URGENT!!!!
What is the probability that the card drawn is a black card or an eight?
Write your answers as fractions in the simplest form.
Face cards:
Red Hearts: 1♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
Red Diamonds: 1♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
Black Spades: 1♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
Black Clubs: 1♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
- (-(2)) =
And explain why please
Answer:
2
Step-by-step explanation:
A negative times a negative is always a positive no matter what it looks like
I hope this helps you :)
-KeairaDickson
Answer:
- (-(2)) = 2
Step-by-step explanation:
- (-(2)) = ?
*distribute the first negative sign*
- (-2) = ?
*distribute the second negative sign*
? = 2
*Two negatives make a positive so the answer is positive 2 : )*
what is 15% tip on a meal that costs $30.50?