Answer:
0.6
Step-by-step explanation:
Brainliest please
ANSWER ASAP, BRAINLIEST WILL BE GIVEN !!!!
Pete has 12 boxes, the courier takes n boxes, his neighbour takes t boxes and his friends takes s boxes, write an algebraic expression to represent this information.
Answer:
uebdhdie the answer is n+t+s=12
Answer:
12 - n - t - s
Step-by-step explanation:
→ Start with how boxes Pete has
12
→ Minus the couriers boxes
12 - n
→ Minus the neighbours boxes
12 - n - t
→ Now finish off with his friends
12 - n - t - s
"For the this question, use the following truth assignments to determine the truth value of the expression as a whole. Select ""true"" if the expression as a whole is true, and select ""false"" if the expression as a whole is false. A= True B= True C= False D= False [(~C → A) ↔ (~A ∨ D)] Group of answer choices"
The expression as a whole is false.
The truth assignments given are:
A = True
B = True
C = False
D = False
We can substitute these truth values into the expression and evaluate it:
[(~C → A) ↔ (~A ∨ D)]
First, let's evaluate the inner expressions:
~C → A: Since C is False, ~C is True. So, ~C → A is True → True, which is True.
~A ∨ D: Since A is True, ~A is False. So, ~A ∨ D is False ∨ False, which is False.
Now, let's evaluate the overall expression:
(True ↔ False)
The biconditional operator (↔) indicates that both sides must have the same truth value. In this case, the expression evaluates to False.
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Two dimensional random variable y have the joint pdf 8xg. (x, y) = 0
(i) The marginal distribution of X is fX(x) = 4x.
(ii) The marginal distribution of Y is fY(y) = 4y.
(iii) The conditional distribution of Y given X is fY|X(y|x) = 2y.
(iv) The conditional distribution of X given Y is fX|Y(x|y) = 2x.
(v) X and Y are not independent.
To analyze the two-dimensional random variable (X, Y) with the given joint PDF 8xy, where 0 < x < 1 and 0 < y < 1, we can proceed with the following steps:
(i) Find the marginal distributions:
To find the marginal distribution of X, we integrate the joint PDF over the range of y:
fX(x) = ∫(from 0 to 1) 8xy dy
= 8x ∫(from 0 to 1) y dy
= 8x [y^2/2] (from 0 to 1)
= 4x
Similarly, to find the marginal distribution of Y, we integrate the joint PDF over the range of x:
fY(y) = ∫(from 0 to 1) 8xy dx
= 8y ∫(from 0 to 1) x dx
= 8y [x^2/2] (from 0 to 1)
= 4y
(ii) Find the conditional distributions:
To find the conditional distribution of Y given X, we divide the joint PDF by the marginal distribution of X:
fY|X(y|x) = (8xy) / (4x)
= 2y
Similarly, to find the conditional distribution of X given Y, we divide the joint PDF by the marginal distribution of Y:
fX|Y(x|y) = (8xy) / (4y)
= 2x
(iii) Determine if X and Y are independent:
Two random variables X and Y are independent if and only if their joint PDF can be expressed as the product of their marginal PDFs.
In this case, the joint PDF is 8xy, while the product of the marginal PDFs is (4x)(4y) = 16xy. Since 8xy ≠ 16xy, we can conclude that X and Y are not independent.
In summary:
(i) The marginal distribution of X is fX(x) = 4x.
(ii) The marginal distribution of Y is fY(y) = 4y.
(iii) The conditional distribution of Y given X is fY|X(y|x) = 2y.
(iv) The conditional distribution of X given Y is fX|Y(x|y) = 2x.
(v) X and Y are not independent.
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Two dimensional random variable y have the joint pdf 8xg. (x, y) = 0<x<11 orhenvise lo then (t) find the marginal distributions (i) find the conditional distributions (iii) 2 Are X and Y independent?
Select the equation in point-slope form for the line that passes through the point (1, –1) and has a slope of -4.
Answer:
y+1=4(x-1)
Step-by-step explanation:
Point slope form is: y-y₁=m(x-x₁)
Student a says the δ h value of an exothermic energy change is always positive. Student b says δ h value of an exothermic energy change is always negative. Who is correct?.
The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?
Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression
Can someone please help asap
Answer:
below
Step-by-step explanation:
assuming r=5 and center (0,0)
1.) point at (0,0) for center
2.) point at (5,0)
3.) point at (0,5)
4.) point at (-5,0)
5.) point at (0,-5)
trace around points 2-5 to get the 4pt circle
Mark recently took a road trip across the country. The number of miles he drove each day was normally distributed with a mean of 450. If he drove 431.8 miles on the last day with a z-score of -0.7, what is the standard deviation?
Answer:
The (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.
Step-by-step explanation:
We can solve this question using the concept of z-score or standardized value, which is given by the formula:
\( \\ z = \frac{x - \mu}{\sigma}\) [1]
Where
\( \\ z\) is the z-score.
\( \\ x\) is the raw score.
\( \\ \mu\) is the population's mean.
\( \\ \sigma\) is the population standard deviation.
Analyzing the question, we have the following data to solve this question:
The random variable number of miles driven by day is normally distributed.The population's mean is \( \\ \mu = 450\) miles.The raw score, that is, the value we want to standardize, is \( \\ x = 431.8\) miles.The z-score is \( \\ z = -0.7\). It tells us that the raw value (or raw score) is below the population mean because it is negative. It also tells us that this value is 0.7 standard deviations units (below) from \( \\ \mu\).Therefore, using all this information, we can determine the (population) standard deviation using formula [1].
Then, substituting each value in this formula:
\( \\ z = \frac{x - \mu}{\sigma}\)
Solving it for \( \\ \sigma\)
Multiplying each side of the formula by \( \\ \sigma\)
\( \\ \sigma*z = (x - \mu) * \frac{\sigma}{\sigma}\)
\( \\ \sigma*z = (x - \mu) * 1\)
\( \\ \sigma*z = x - \mu\)
Multiplying each side of the formula by \( \\ \frac{1}{z}\)
\( \\ \frac{1}{z}*\sigma*z = \frac{1}{z}*(x - \mu)\)
\( \\ \frac{z}{z}*\sigma = \frac{x - \mu}{z}\)
\( \\ 1*\sigma = \frac{x - \mu}{z}\)
\( \\ \sigma = \frac{x - \mu}{z}\)
Then, this formula, solved for \( \\ \sigma\), will permit us to find the value for the population standard deviation asked in the question.
\( \\ \sigma = \frac{431.8 - 450}{-0.7}\)
\( \\ \sigma = \frac{-18.2}{-0.7}\)
\( \\ \sigma = 26\)
Thus, the (population) standard deviation is 26 miles or \( \\ \sigma = 26\) miles.
Find the surface area of this figure.
Answer:
592 in²
Step-by-step explanation:
The surface area is the sum of the areas of the rectangles shown in the figure.
__
The light blue central rectangle is 12 in wide and a total of 36 in tall. Its surface area is ...
A = LW = (12 in)(36 in) = 432 in²
The two identical darker blue rectangles on the sides are each 8 in by 10 in, so their total area is ...
A = 2(LW) = 2(8 in)(10 in) = 160 in²
The total surface area of the figure is (432 +160) in² = 592 in².
A combination lock has the numbers on it and no digit can be repeated how many sequences of three numbers can be formed to open the lock?A.30B.720C.920D.1000
There are a total of three numbers in a combination lock, and no digit can be repeated. To open the lock,
The correct answer is B. 720.
The first number can be any of the 10 digits, and the second number can be any of the 9 remaining digits because no digit can be repeated.
Finally, since there are 8 digits left, the third digit can be any of these.
The combination can be created in the following manner:
The total number of possible combinations = (Number of ways to select the first number) x (Number of ways to select the second number) x (Number of ways to select the third number).
= 10 x 9 x 8 ⇒ 720.
Therefore, the sequence of the combination is 720, and option (B) is correct.
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Binomial (x – 6) and trinomial (–2x2 + x + 9) are the factors of which of the following polynomials?
Answer:
The polynomial is -2x³ + 13x² + 3x - 54.
Step-by-step explanation:
The binomial expression is: (x - 6)
The trinomial expression is: (-2x² + x + 9)
Multiply the two expressions to determine the resulting polynomial as follows:
\((x-6)(-2x^{2}+x+9)=x(-2x^{2}+x+9)-6(-2x^{2}+x+9)\)
\(=-2x^{3}+x^{2}+9x+12x^{2}-6x-54\\=-2x^{3}+13x^{2}+3x-54\)
Thus, the polynomial is -2x³ + 13x² + 3x - 54.
What is the interpretation for the slope of the linear regression prediction equation?
The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.
The linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.
A slope of a line is the change in y coordinate with respect to the change in x coordinate.
Consider the slope of the line as m
m= Change in y coordinate / Change in x coordinate
When change in x coordinate is 1 unit
Then,
m= Change in y coordinate
If the change in x is 1 unit, then slope of the line will change depends on change in y coordinate
Hence, The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.
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the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
Multiply both sides by n:
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
Multiply both sides by (n +1):
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
Expand:
xn= yn +y -a
a= yn +y -xn
Let's check!
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.
which operation results in a trinomial ?
Answer:
Subtraction
Step-by-step explanation:
(4x^(5) - 8x) - (3x^(2) - 8x + 9) = 4 x^( 5) - 3 x^ (2) - 9
Fiona races bmx around a circular course. if the course is 70 meters, what is the total distance fiona covers in 2 laps?
The total distance Fiona covers in 2 laps is 439.6 meters.
To calculate the total distance Fiona covers in two laps, we first need to find the distance of one lap and then multiply it by 2.
The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is a constant equal to approximately 3.14, and r is the radius of the circle.
Given that the course is 70 meters, we know that the diameter of the circle is also 70 meters.
We can find the radius by dividing the diameter by 2:radius (r) = diameter (d) / 2r = 70 m / 2r = 35 m
Now we can use the formula for the circumference of a circle to find the distance of one lap:
C = 2πrC = 2 × 3.14 × 35C ≈ 219.8 m
Therefore, the total distance Fiona covers in 2 laps is 2 × 219.8 = 439.6 meters or approximately 440 meters.
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You want to test that two coefficients of a regression are jointly equal to 0. The regression includes 5 explanatory variables in total and the dataset is composed of 1521 individuals. Your F-stat is 3.02. What is the pvalue of the F test that both coefficients are equal to 0?
The p-value for the F test that both coefficients are equal to 0 is the probability of observing an F-statistic greater than 3.02 or smaller than its negative counterpart.
In order to calculate the p-value, we need the degrees of freedom associated with the F-statistic. The degrees of freedom for the numerator are equal to the number of restrictions being tested, which is 2 in this case (since we are testing the joint equality of two coefficients). The degrees of freedom for the denominator are equal to the total number of observations minus the number of explanatory variables, which is 1521 - 5 = 1516.
Using the F-statistic and degrees of freedom, we can look up the p-value in an F-distribution table or use statistical software. In this case, with an F-statistic of 3.02 and degrees of freedom of 2 and 1516, the p-value is the probability of obtaining an F-statistic as extreme as 3.02 or more extreme in a two-tailed test.
The p-value for the F test that both coefficients are equal to 0 is the probability of observing an F-statistic greater than 3.02 or smaller than its negative counterpart. This p-value indicates the strength of evidence against the null hypothesis that the coefficients are jointly equal to 0.
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a newsletter publisher believes that over 62% of their readers own a rolls royce. for marketing purposes, a potential advertiser wants to confirm this claim. after performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis. what is the conclusion regarding the publisher's claim?\
There is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.
Given that,
Over 62% of a newsletter publisher's subscribers, in their estimation, own a Rolls-Royce. A potential advertiser wants to verify this claim for marketing purposes. The advertiser decides to reject the null hypothesis following a test with a significance threshold of 0.02 after executing the analysis.
We have to find what is the verdict in relation to the publisher's assertion.
We know that,
First we have to write the null hypothesis and alternative hypothesis for the hypothesis test.
H₀:P=0.62
H₁:P>0.62
At 0.02 level of significance, rejecting H₀ then accepting H₁.
That is sufficient evidence that percentage over 62%.
Therefore, there is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.
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What are the x intercepts for the following
function? f(x) = x2 - 4x + 4
a. 2 and 4
b. -1 and O
c. -4 and 4
d. 2
Answer: 2
Step-by-step explanation: It is 2. You can use the vertex formula x= (-b/2a) 4/2(1), which is 2 and x=2 is the x intercept.
If x= -4 and y=-8, which expression would have a negative value?
A: x+y
B: x-y
C: x*y
D: x/y
Step-by-step explanation:
x + y will have negative value as
x + y = -4 + (-8) = - 4 - 8 = - 12
Answer:
A
Step-by-step explanation:
They are both negative so you will keep the negative sign when you add.
Write an expression for the area of the trapezium below.
Expand any brackets and fully simplify your answer.
he feasible solution space for an integer programming model is ________________ the feasible solution space for a linear programming version of the same model.
The feasible solution space for an integer programming model is typically smaller than the feasible solution space for a linear programming version of the same model.
This is because integer programming models restrict the decision variables to integer values, while linear programming models allow for continuous values.
For example, consider a transportation problem where we want to determine the optimal way to transport goods from multiple factories to multiple warehouses. In a linear programming version of this problem, the decision variables representing the amount of goods transported between each factory and warehouse can take on any real value.
However, in an integer programming version of this problem, the decision variables must take on integer values representing the number of units of goods transported.
Since the integer programming model restricts the values of the decision variables, the feasible solution space is typically smaller than the feasible solution space for the linear programming version. This can make it more difficult to find an optimal solution for the integer programming model, as there may be fewer feasible solutions to choose from.
However, the integer programming model may be necessary in cases where decision variables must take on integer values, such as in inventory management or scheduling problems.
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Game Theory: In a sequential game in which each player makes one move, which of the statements is NOT true? Explain.
It can be presented in a normal form
It is typically presented in an extensive form
The first player can only improve her outcome if the game becomes simultaneous
The second player will improve his outcome if the game becomes simultaneous
The statement that is NOT true is "The first player can only improve her outcome if the game becomes simultaneous."
In a sequential game, where players take turns making their moves, the order of moves is crucial and can significantly impact the outcomes. The first player has an advantage as they can make their move with full knowledge of the actions taken by the other player.
In a sequential game, the first player can strategically choose their move to maximize their outcome, given the information available at their turn. They can anticipate and react to the second player's move, aiming to achieve the best possible outcome for themselves.
Converting the sequential game into a simultaneous game (where both players make their moves simultaneously) would generally remove the advantage of being the first player, as both players would act without knowing the other's move.
In some cases, this simultaneous format could lead to different outcomes, potentially affecting the advantage of the first player.
Therefore, the correct statement would be that the first player can improve their outcome in a sequential game, and it is not necessary for the game to become simultaneous for the first player to have the potential to improve their outcome.
The second statement, "It is typically presented in an extensive form," is true.
Sequential games are commonly presented in extensive form, which uses a tree-like diagram to represent the sequence of moves and the information available at each decision point.
The third statement, "It can be presented in a normal form," is also true. While sequential games are usually presented in extensive form, they can also be converted into a normal form, which is a matrix representation showing the players' strategies and corresponding outcomes.
The fourth statement, "The second player will improve his outcome if the game becomes simultaneous," is generally not true.
In a sequential game, the second player has the advantage of observing the first player's move before making their own decision.
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Sam needs 380 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 48 programs
Answer:
He will need 8 boxes.
Step-by-step explanation:
380/48 = 7.196 You would need to round up to the next box.
Helping in the name of Jesus.
Sam will need 8 boxes of programs for the school play on Thursday.
To determine how many boxes of programs Sam will need for the school play, given that each box contains 48 programs and he needs 380 programs, you can follow these steps:
1. Divide the total number of programs needed (380) by the number of programs in each box (48).
2. If the result is a whole number, that's the number of boxes needed. If the result is not a whole number, round up to the nearest whole number to ensure enough programs.
Now, let's calculate:
380 programs ÷ 48 programs per box = 7.9167
Since this is not a whole number, round up to the nearest whole number, which is 8.
So, Sam will need 8 boxes of programs for the school play on Thursday.
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shocks occur to a system according to a poisson process of intensity lambda. each shocks causes some damage. what type of process could model the damage up to time t? assume the system continues to operate as long as the total damage is strictly less than some critical value and fails otherwise.
If the total damage remains strictly below the critical value, the system will continue to operate. Otherwise, the system will fail.
A suitable process to model the damage up to time t caused by shocks in a system following a Poisson process of intensity lambda would be a Compound Poisson Process.
A Compound Poisson Process is a stochastic process that models the cumulative effect of multiple independent and identically distributed random events. In this case, the events are the shocks, and the effect is the damage caused by each shock. The process is defined as the sum of the damages up to time t, where the number of shocks follows a Poisson process with intensity lambda, and the damage caused by each shock is a random variable with a known distribution.This process is suitable for modeling the system's damage because it accounts for the random nature of both the number of shocks and the damage caused by each shock. It can also help assess the probability of system failure at any given time.To evaluate the risk of failure, one can compare the total damage from the Compound Poisson Process with the critical value. By analyzing the behavior of the Compound Poisson Process, you can make informed decisions on system maintenance, risk mitigation, and overall system reliability.Know more about the critical value
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i need help asap, i need the answer!!!
Answer:
33/100
Step-by-step explanation:
3/10 × 10 = 33/100
Answer: 30 correct me if I'm wrong
Step-by-step explanation:
a survey asked people whether they had ever considered a career in science, and said that they had. can you conclude that the percentage of people who have considered a career in science is more than ? use the level of significance.
Since our test statistic of 2.727 is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that more than 30% of people have considered a career in science.
To test whether more than 30% of people have considered a career in science, we can use a one-sample proportion hypothesis test. Let p be the true proportion of people who have considered a career in science.
Our null hypothesis is that the true proportion is 0.30 or less, and our alternative hypothesis is that the true proportion is greater than 0.30.
H0: p <= 0.30
Ha: p > 0.30
We can use the sample proportion of 178/514 = 0.346 to estimate the true proportion p. The standard error of the sample proportion is:
√[(0.30 * 0.70) / 514] = 0.022
Using the normal approximation to the binomial distribution, we can calculate the test statistic:
z = (0.346 - 0.30) / 0.022 = 2.727
At the α = 0.05 level of significance, the critical value for a one-tailed test is 1.645.
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What is the product?
Step-by-step explanation:
(-2a² + s)(5a² - 6s)
= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)
= -10a⁴ + 12a²s + 5a²s - 6s²
= -10a⁴ + 17a²s - 6s². (1st option)
Step 1: Find the mean. mean = StartFraction 32 + 4 + 12 + 40 + 20 + 24 Over 6 EndFraction = 22 Step 2: Find each absolute deviation. 10, 18, 10, 18, 2, 2 Step 3: Find the mean absolute deviation. M A D = StartFraction 10 + 18 + 10 + 18 + 2 + 2 Over 4 EndFraction = 15 What is Stefano's error? Stefano should have divided by 5 when finding the mean. Stefano found the absolute deviation of 20 incorrectly. Stefano should have divided by 6 when finding the mean absolute deviation. Stefano did not find the correct value for the mean.
Answer:
(C)Stefano should have divided by 6 when finding the mean absolute deviation.
Step-by-step explanation:
Step 1: Find the mean.
\(Mean = \dfrac{32 + 4 + 12 + 40 + 20 + 24}{6}=22\)
Step 2: Find each absolute deviation.
10, 18, 10, 18, 2, 2
Step 3: Find the mean absolute deviation.
\(M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{4} =\dfrac{60}{4}=15\)
However, there are 6 values in the data. Stefano should have divided by 6 when finding the mean absolute deviation.
The correct mean absolute deviation is therefore:
\(M A D = \dfrac{10 + 18 + 10 + 18 + 2 + 2}{6} =\dfrac{60}{6}=10\)
Answer:
c: Stefano should have divided by 6 when finding the mean absolute deviation.
Step-by-step explanation:
edg2020
During the winter, the temperature in St. Cloud, Minnesota can
get as low as -35°F. Which statement accurately describes the
magnitude of the temperature?
a. 35 degrees
b. 35 degrees above 0
c. 35 degrees below 0
d. -35 degrees below 0
On a population growth curve, the ________ phase results in the same percentage increase each year or no growth in the population.