Answer:
131.2 ;
12.8 ;
(118.4, 144)
Step-by-step explanation:
Given :
X = 131.2, s=55 , and n= 50
Point estimate of the mean :
Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :
Margin of Error = Zcritical * s / sqrt(n)
Zcritical at 90% = 1.645
Margin of Error : 1.645 * (55 / sqrt(50))
Margin of Error : 1.645 * 7.7781745
Margin of Error = 12.795097
Margin of Error = 12.8
The confidence interval (C.I) :
C.I = x ± margin of error
C. I = 131.2 ± 12.8
(131.2 - 12.8) ; (131.2 + 12.8)
(118.4, 144)
A box contains 100 cards; 40 of which are labeled with the number 5 and the other cards are labeled with the number 10. Two cards were selected randomly with replacement and the number appeared on each card was observed. Let X be a random variable giving the total sum of the two numbers. Find P(X > 10)
To find the probability P(X > 10), where X is the random variable representing the total sum of the numbers observed on two cards randomly selected with replacement, we can calculate the probabilities of each possible outcome and sum them up.
The possible outcomes for the sum of the two numbers are:
Both cards are labeled 5: The sum is 5 + 5 = 10.
One card is labeled 5 and the other is labeled 10: The sum is 5 + 10 = 15.
Both cards are labeled 10: The sum is 10 + 10 = 20.
We are interested in the probability of getting a sum greater than 10, which is P(X > 10). In this case, only one outcome satisfies this condition, which is when the sum is 15.
Since the cards are selected with replacement, each selection is independent, and the probabilities can be multiplied together. The probability of selecting a card labeled 5 is 40/100 = 0.4, and the probability of selecting a card labeled 10 is 60/100 = 0.6.
Therefore, P(X > 10) = P(X = 15) = P(5 and 10) + P(10 and 5) = (0.4 * 0.6) + (0.6 * 0.4) = 0.24 + 0.24 = 0.48.
Hence, the probability that the sum of the numbers observed on the two cards is greater than 10 is 0.48.
To know more about Probability visit-
brainly.com/question/31828911
#SPJ11
Picture attached, please help, multiple choice
Answer:
8 & 4
5 & 1
2 & 7
Step-by-step explanation:
8 & 4 are corresponding angles
5 & 1 are corresponding angles
2 & 7 are alternate exterior angles
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
Find a Bayes-Nash equilibrium of this game.
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.
Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.
Payoffs are as follows:
u1(s1,s2)=1−[s1 −(1/2)s2]^4
uA2(s1,sA2)=100−[sA2 −s1−1/4]^2
uB2 (s1,sB2 )=100−[sB2 −s1]^2.
To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.
The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.
A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.
This is a refinement of the Nash equilibrium that takes into account the players' information about the game.
Learn more about Nash equilibrium at:
https://brainly.com/question/29398344
#SPJ11
Factorise:
A) x^2 + 11x - 26
B) x^2 -5x -24
C) 9x^2 + 6x - 8
Answer:
X^2+(13-2)x -26
x^2+13x-2x-26
x(x+13) -2(x+13)
(x+13) (x-2)
Answer:
Step-by-step explanation
A) To factorize x^2 + 11x - 26, we need to find two numbers that multiply to give -26 and add to give 11. These numbers are 13 and -2. Therefore, we can write:
x^2 + 11x - 26 = (x + 13)(x - 2)
B) To factorize x^2 -5x -24, we need to find two numbers that multiply to give -24 and add to give -5. These numbers are -8 and 3. Therefore, we can write:
x^2 -5x -24 = (x - 8)(x + 3)
C) To factorize 9x^2 + 6x - 8, we first need to factor out the common factor of 3:
9x^2 + 6x - 8 = 3(3x^2 + 2x - 8)
Now we need to find two numbers that multiply to give -24 and add to give 2. These numbers are 6 and -4. Therefore, we can write:
9x^2 + 6x - 8 = 3(3x + 4)(x - 2)
There are 60 cookies and 10 cupcakes leftover at a
bake sale. What is the ratio of cupcakes to
cookies? Your answer it must be in simplest form.
Answer:
1:6
Step-by-step explanation:
10cc:60C
5cc:30C
1cc:6C
convert the following decimals into mixed fraction. a) 4.444
Answer:
4444/1000
You take the number of decimal points and turn them into zeros for the denominator
Find an equation for the line that passes through the points (6,1) and (-4,3)
Answer: $$y=-2/3x+2$$
Explanation: Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.
50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get \(\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }\) . Then, we can simplify. We now have \(\frac{3^{-3}m^{5} }{6n}\) . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get \(\frac{m^{2} }{6nx3^{3} }\). Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have \(\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}\)
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
Answer quick! Please
Answer:
i think it's wednesday and good luck:)!
la edad de Santiago excede en 13 años a la edad de Luis, y el doble de la edad de Luis excede en 29 años a la edad de Santiago ¿que edad tiene cada uno?
Answer:
Luis 19, Santiago 9
Step-by-step explanation:
\(L = S +10\\2L=S+29\)
Restamos a la segunda ecuación la primera ecuación:
\(L=19\)
Luis tiene 19 años
Para la edad de Santiago usamos la primera ecuación:
\(L=S+10\\19=S+10\)
\(S=19-10\\S=9\)
Santiago tiene 9 años
Hope this helps.
Write a word problem that must be solved with division and includes 2/7 as the dividend and 4 as the divisor.
The problem can be formed as, Joy has (2/7) ounces of honey and he divides this honey among four of his guests, How many ounces of honey will each of his friends get?
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Suppose, Joy has (2/7) ounces of honey and he divides this honey among four of his guests, How many ounces of honey will each of his friends get?
The amount of ounces of honey each of his friends gets is,
= (2/7)/4 ounces.
= (2/7)×(1/4) ounces.
= 2/28 ounces.
= 1/14 ounces.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
Simplify: 1/4-1/5+ -3/4+1/8 A23/40 B-5/8 C 1/20 D 3/16
Answer:
A) is your answer = 23/40
Step-by-step explanation:
The value of the expression is -23/40.
None of the given option is correct.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given:
A fractional expression,
1/4-1/5+ -3/4+1/8,
Simplifying,
(1/4 - 3/4) + 1/8 - 1/5,
= (-20 + 5 -8) / 40
= -23/40
Therefore, the correct value is -23/40.
To learn more about the fractions;
https://brainly.com/question/10354322
#SPJ2
95% as a real number
Factor.
x^2+25
(x+5) (x-5)
(x+5) (x+5)
(x+5i) (x-5i)
(x+5i) (x+5i)
Answer:
( x + 5 i ) ( x − 5 i )
Step-by-step explanation:
Multiply the constant by − i ^2 and factor.
What is the answer to 5x+1/4=61/4
Answer:
x=3
Step-by-step explanation:
Covert to decimals
5x+.25=15.25
5x=15.25-.25
5x= 15
x= 3
The length of a rectangle is 3 units greater than its width. Which expression would correctly represent the perimeter of the rectangle
Answer: 4x + 6
Step-by-step explanation:
let width of rectangle = x, then
the length of rectangle = x + 3
perimeter of rectangle = 2(L + W)
= 2(x + x + 3)
= 2(2x + 3)
=4x + 6
Lines ac and rs can best be described as
Intersecting
Parallel
Perpendicular
Skew
Answer:
Skew (option d).
Step-by-step explanation:
Skew lines are the lines that do not intersect with each other. These lines exist in different planes and hence do not intersect each other and they are also not parallel. For skew lines to exist, 3 -d planes are required.
Here, the lines e and c are skew lines because they do not intersect each other and are lying on different panes. They are also skew line because the planes are co-planer,
Hence, the lines e and c are skew lines.
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane xPlane yLine AC is on plane x, while line RS is on plane y
Plane x and plane y are not parallel;
So lines AC and RS are not parallel.
Also, both lines are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
Read more about skewness at:
https://brainly.com/question/1995934
HELP ME ASAP
The sum of two right angles always|sometimes|never results in a straight angle. Justify your answer. (WHICH ONE IS IT???)
Answer:
always
Step-by-step explanation:
a straight line is always 180 degrees, and one right angle is always 90 degrees. if you have two right angles, it always adds up to 180 degrees, which is a straight line. therefore, the answer is always.
what is the constant of proportionality, y/x?
Answer:
7/2
Step-by-step explanation:
y/x = rise / run = slope of the line
Pick two convenient integer coordinate points , say 00 and 2,7
slope = (7-0) / ( 2-0) = 7/2
A plumber charges $50 to visit a house plus $80 for every hour of work. Define a variable and write an expression to represent the total cost of hiring a plumber.
Answer:
50+80*x
Step-by-step explanation:
Identify the initial condition in the table.
Answer:
i had the answer but lost it ill look into more for u
Step-by-step explanation:
The given table can be represented as :
y = -xAnd here, initial condition is 0
Garrett is 3 years older than Rachael. In 2 years the sum of their ages will be 39. How old is Garrett now?
PLEASE HELP!!! IM GIVING 20 POINTS!!! THANKSSS
for a population with σ = 10, what is the z-score corresponding to a score that is located 20 points above the mean?
The z-score corresponding to a score that is located 20 points above the mean in a population with a standard deviation of 10 is 2. This indicates that the score is two standard deviations above the mean
To find the z-score corresponding to a score that is located 20 points above the mean, we need to subtract the mean from the score and divide the result by the standard deviation.
Given that the standard deviation (σ) is 10, and we want to find the z-score for a score located 20 points above the mean, we have:
x = μ + 20
Using the z-score formula, we can calculate the z-score:
z = (x - μ) / σ = (μ + 20 - μ) / 10 = 20 / 10 = 2
Therefore, the z-score corresponding to a score that is located 20 points above the mean in a population with a standard deviation of 10 is 2. This indicates that the score is two standard deviations above the mean.
Learn more about z-score here:
https://brainly.com/question/31871890
#SPJ11
What are the domain and range of the function f(x)=-log(5-x)+9?
Answer:
Domain: x < 5
Range: all numbers, -∞, ∞
This is because the problem will be able to be solved with multiple solutions as long as there are no specific values assigned to x. The problem will have a solution from a range of negative infinity to infinity, meaning every number or solution you can think of.
What is the inverse of the function f(x) = 2x- 10?
Step-by-step explanation:
Given
f(x) = 2x - 10
f^-1(x) = ?
Now
Let y = f(x)
y = 2x - 10
Interchanging the roles of x and y we get,
x = 2y - 10
x + 10 = 2y
y =(x + 10) / 2
f^-1(x) = (x + 10)/ 2
Hope it will help :)❤
True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
Learn more about interval notation here:
https://brainly.com/question/10878781
#SPJ4
raster data model is widely used to represent field features, but cannot represent point, line, and polygon features.
The raster data model is commonly used to represent field features, but it is not suitable for representing point, line, and polygon features.
The raster data model is a grid-based representation where each cell or pixel contains a value representing a specific attribute or characteristic. It is well-suited for representing continuous spatial phenomena such as elevation, temperature, or vegetation density. Raster data is organized into a regular grid structure, with each cell having a consistent size and shape.
However, the raster data model has limitations when it comes to representing discrete features like points, lines, and polygons. Since raster data is based on a grid, it cannot precisely represent the exact shape and location of these features. Instead, they are approximated by the cells that cover their extent.
Learn more about polygons here:
https://brainly.com/question/23846997
#SPJ11
16p + 8 = 2(8p+4) dkdaw
We prove that both side are equal.
In the given question,
The given expression is 16p + 8 = 2(8p+4).
We have to prove that both side are equal.
To solve this question we use have to follow some rule.
Some Rules are
We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.In this given question to solve the expression we firstly solve the bracket.
To solve this question we use Distributive Property
In this property a(b+c) = ab+ac
Solving the expression
16p + 8 = 2×8p+2×4
16p + 8 = 16p+8
Hence, we prove that both side are equal.
To learn more about Distributive Property link is here
https://brainly.com/question/5637942
#SPJ1
if all things work together for good, one should not regret the occurrence of tragic events. one should regret the occurrence of tragic events. therefore, all things do not work together for good.
The argument presented in the statement is not valid. It is based on an incorrect premise. The original statement posits that if all things work together for good, one should not regret the occurrence of tragic events.
This statement is incorrect because the occurrence of tragic events can never be seen as a good thing, irrespective of the outcome. Therefore, the argument is unsound, and it cannot be used to prove the point that all things do not work together for good.
The occurrence of tragic events can never be seen as a good thing. While it is true that some good can come out of tragic events, such as a sense of community, unity, and strength, it does not negate the pain and suffering caused by the event.
Thus, the conclusion drawn from the argument, that all things do not work together for good, cannot be justified based on the premise presented in the statement. In conclusion, the argument presented in the statement is based on an incorrect premise and is, therefore, invalid.
To know more about Events visit :
https://brainly.com/question/14641693
#SPJ11
location of bern as an ordered pair please help
Answer:
Step-by-step explanation:
(3,-3)