What is the equation of a line that passes through (4, 3) and has a slope of 2?
A. y=2x−7
B. y=2x−1
C. y=2x−5
D. y=2x−11
Answer:
\(\textsf{C.} \quad y=2x-5\)
Step-by-step explanation:
Slope-intercept form of a linear equation
\(y=mx+b\)
where:
m is the slope.b is the y-intercept.Given:
slope (m) = 2point on the line = (4, 3)Substitute the given values into the formula and solve for b:
\(\implies 3=2(4)+b\)
\(\implies 3=8+b\)
\(\implies 3-8=8+b-8\)
\(\implies b=-5\)
Substitute the given slope and the found value of b into the formula to create an equation of a line that passes through (4, 3) and has a slope of 2:
\(\implies y=2x-5\)
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Determine the local extrema points for f(x) = 3x^3 – 2x². Show your work.
30 pts to whoever answers this!!
What is EF?
Enter your answer in the box.
Answer:
EF = 9.2
Step-by-step explanation:
Theorem:
The segment that has as endpoints the midpoints of two sides of a triangle is half the length of and parallel to the third side.
For triangle GEF, the endpoints of segment ZY are midpoints of sides GE and GF, so segment ZY is half the length of segment EF.
EF = 2ZY
EF = 2(4.6)
EF = 9.2
Using the following returns, calculate the average returns, the variances, and the standard deviations for X and Y. (Note that the book covers both the "arithmetic" and the "geometric" averages. Here, calculate the regular "arithmetic" average returns. These are the average returns covered in the course lecture. Returns Year XY 113 % 23 % 2 31 44 3 20 -10 4 -21 -24 5 22 52 Requirement 1: (a) Calculate the average return for X. (Click to select) 15.86% 14.69% 16.25% 10.53% 13.00% (b) Calculate the average return for Y. (Click to select) 20.74% 19.21% 17.00% 13.77% 21.25% Requirement 2: (a) Calculate the variance for X. (Do not round intermediate calculations.) (Click to select) 0.050313 0.032602 0.040188 0.050235 0.040250 (b) Calculate the variance for Y. (Do not round intermediate calculations.) (Click to select) 0.137500 0.089100 0.101660 0.127075 0.110000 Requirement 3: (a) Calculate the standard deviation for X. (Do not round intermediate calculations.) (Click to select) 19.95% 22.41% 20.06% 25.08% 16.25% (b) Calculate the standard deviation for Y. (Do not round intermediate calculations.) (Click to select) 41.46% 33.17% 26.86% 35.65% 31.88%
Answer:
4
Step-by-step explanation:
Requirement 1:
(a) average return for X = 33%, (b) average return for Y = 17%.
Requirement 2:
(a) variance for X = 0.050313, (b) variance for Y = 0.137500.
Requirement 3:
(a) X standard deviation = 22.41%, (b) Y standard deviation = 37.00%.
How to calculate the variance for X.Requirement 1:
(a) To calculate the average return for X, we whole up the returns and separate by the number of a long time:
Normal return for X = (113% + 31% + 20% - 21% + 22%) / 5
Normal return for X = 165% / 5
Normal return for X = 33%
(b) To calculate the average return for Y:
Normal return for Y = (23% + 44% - 10% - 24% + 52%) / 5
Normal return for Y = 85% / 5
Normal return for Y = 17%
Requirement 2:
(a) To calculate the variance for X, we have to calculate the deviations from the cruel and square them:
Deviation for each year in X = (Return - Normal return for X)
Squared Deviation for each year in X = \(Deviation^{2}\)
Fluctuation for X = Whole of Squared Deviations / (Number of a long time - 1)
variance for X = \(((113% - 33%)^{2}) + ((31% - 33%)^{2}) + ((20% - 33%)^{2}) + ((-21% - 33%)^{2}) + ((22% - 33%)^{2}) / (5 - 1))\)
Fluctuation for X = 0.050313
(b) To calculate the variance for Y utilizing the same handle:
variance for Y =\(((23% - 17%)^{2}) + ((44% - 17%)^{2}) + ((-10% - 17%)^{2}) + ((-24% - 17%)^{2}) + ((52% - 17%)^{2}) / (5 - 1))\)
Change for Y = 0.137500
Requirement 3:
(a) To calculate the standard deviation for X, we take the square root of the change for X:
The standard deviation for X = √(Variance for X)
Standard deviation for X = √(0.050313)
Standard deviation for X = 0.2241 or 22.41%
(b) To calculate the standard deviation for Y utilizing the same prepare:
The standard deviation for Y = √(Variance for Y)
Standard deviation for Y = √(0.137500)
Standard deviation for Y = 0.3700 or 37.00%
If you don't mind note that the calculations are based on the given returns and adjusting may contrast marginally depending on the strategy utilized.
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Tickets are available at the Paramount Theater for three levels in the performance hall. Lower level tickets cost $35, mezzanine tickets cost $25, and upper balcony tickets cost $15. Let x represent the number of lower level tickets, y represent the number of mezzanine tickets, and z represent the number of upper balcony tickets. Use the information below to formulate a system of linear equations that could be used to determine the
number of each type of tickets sold.
The theater sold $37,500 in tickets for a certain performance.
For that performance, the theater sold 5 times as many lower level tickets as balcony tickets.
The money made from mezzanine tickets alone was 4 times the money made from balcony tickets.
Answer:
B
Step-by-step explanation:
35+25y+15z=37500
x - 5z = 0
25y - 60z = 0
Slope Find Value of Zero
Answer:
(3, -6) and (7, -6)
Step-by-step explanation:
Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0
Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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The equation shows the relationship between x and y:
y = -7x + 9
What is the slope of the equation? (4 points)
O-7
O-2
07
9
Answer: -7
Step-by-step explanation:
The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept
Therefore, the m value is -7 and it is the slope
Aquadratic equation is such that its roots are the HCF and LCM of the smallest
prime number and the smallest composite number, then quadratic equation 1s
With the root values 6 and 8 the quadratic equation is x² - 6x +8 = 0.
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.
The roots of the quadratic equation are -
HCF of smallest prime number, LCM of smallest composite number
The smallest prime number is 2.
So, the HCF of 2 is 2.
The smallest composite number is 4.
So, the LCM of 4 is 4.
If m and n are the roots of a quadratic equation ax² + bx + c = 0, then the sum of the roots is (m+n) and the product of the roots is (mn).
And then the quadratic equation becomes x² - (m+n)x +mn = 0.
So, here m = 2 and n = 4.
The sum of roots is -
(m + n) = (2 + 4) = 6
The product of roots is -
(mn) = (2 × 4) = 8
So, the quadratic equation is x² - 6x +8 = 0.
Therefore, the equation is x² - 6x +8 = 0.
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m miles/4 hrs 360miles in 6 hrs (answer 250 mi.)
True
False
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answer:
Length of side AD is 6.5 units.
Step-by-step explanation:
Let the center of the rectangular base of the given pyramid is O,
From the picture attached,
m∠AOD = 90°
By applying Pythagoras theorem in the right triangle AOD,
AD² = AO² + OD²
AD² = 6² + (2.5)²
AD = √42.25
AD = 6.5 units
Therefore, length of side AD is 6.5 units.
Add the polynomials.
(4x + 11) + (12x + 2)
a
16x + 13
b
12x + 9
С
25x + 16
d. 19x + 13
Answer:
\((4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13\)
Step-by-step explanation:
Answer = a. 16x+13
8) Sally plays two games against Martin.
In each game, Sally could win, draw or lose.
In each game they play,
the probability that Sally will win against Martin is 0. 3
the probability that Sally will draw against Martin is 0. 1
Work out the probability that Sally will win exactly one of the two games
against Martin
The probability that exactly one of the two games will be won by Sally. against Martin \(= 0.42\) or 42%.
Use the concept of probability defined as:
Probability is the ratio of:
The number of favorable outcomes to the total number of outcomes for the occurrence of an event.
Given that,
Sally plays two games against Martin.
Sally had a chance to win, tie, or drop each game.
The probability that Martin will lose against Sally is \(0.3\).
The probability that Martin will lose against Sally in a tie is \(0.1\).
We need to calculate the probability that Sally will win exactly one of the two games against Martin.
To calculate the probability that Sally will win exactly one of the two games against Martin:
Use a combination of probabilities.
Since there are 2 games,
So in this case:
There are 2 possible outcomes:
1. When Sally plays, she either loses the first game and wins the second one, or she wins the first game and loses the second one.
The probability of Sally winning the first game and losing the second game can be calculated,
By multiplying the probability of winning (0.3) with the probability of losing,(1 - 0.3 = 0.7).
Similarly,
2. By doubling the likelihood of losing, which is, the chance of Sally losing the first game and winning the second game,
\(1 - 0.3 = 0.7\) with the probability of winning (0.3).
To determine the likelihood that Sally will triumph in precisely one of the two games: Add up this probability as follows:
(0.3 x 0.7) + (0.7 x 0.3) = 0.42
Hence,
The probability that exactly one of the two games will be won by Sally against Martin = 0.42 or 42%.
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(-3,3)
y
1
(12, -3)
What is the slope of the line shown?
Answer:USE GOOGLE
Step-by-step explanation:
I USE IT EVERY DAY
Answer:
7/5
Step-by-step explanation:
*******************
Solve for x: 0.75x + 3 = 6 (x - 3
I need to show my work
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)(Distribute)
0.75x+3=6x+−18
0.75x+3=6x−18
Step 2: Subtract 6x from both sides.
0.75x+3−6x=6x−18−6x
−5.25x+3=−18
Step 3: Subtract 3 from both sides.
−5.25x+3−3=−18−3
−5.25x=−21
Step 4: Divide both sides by -5.25.
−5.25x/-5.25 = -21/-5.25
Answer: x=4
The value of x from the given equation is 4.
The given equation is 0.75x + 3 = 6 (x - 3).
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solve for x as follows:
0.75x + 3 = 6x - 18
⇒ 6x-0.75x = 3+18
⇒ 5.25x=21
⇒ x=21/5.25
⇒ x=4
Therefore, the value of x from the given equation is 4.
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Yannick and Jean are playing a guessing game with integers. Yannick wrote these clues to help Jean guess the unknown integer.
n + 6 greater-than-or-equal-to 15 and n + 5 less-than 15
What is the value of the unknown integer, n?
8
9
19
22
Answer:
I think 9 is the answer
Step-by-step explanation:
n + 6 greater-than-or-equal-to 15
n greater-than-or-equal-to 15 - 6
n greater-than-or-equal-to 9
n + 5 less-than 15
n less-than 15 -5
n = 10
So, less than 10 and greater-than-or-equal-to 9
n = 9 (I think so)
I hope this helps a little.
The solution is, the value of the unknown integer, n is, 9 is the answer.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
given that,
n + 6 greater-than-or-equal-to 15
n greater-than-or-equal-to 15 - 6
n greater-than-or-equal-to 9
n + 5 less-than 15
n less-than 15 -5
n = 10
So, less than 10 and greater-than-or-equal-to 9
n = 9
Hence, The solution is, the value of the unknown integer, n is, 9 is the answer.
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In art class, Tico is copying a detail from a painting. He paints slowly for the first few days, but manages to increase his rate after that. The graph shows his progress after he increased his rate. How many square centimeters of his painting will he finish in 4 days after the increase in rate?
(8,400) (3,175)
please answer :))
Answer:
84:31
Step-by-step explanation:
Plz don’t take s these points if u don’t know how to do these math I just need help I wanna pull up my grade :(
Answer: For The first Picture I think the Surface area is 234in^2
For the second picture 72in^2
For the third picture 102in^2
Step-by-step explanation:
Answer:
234
192
102
Step-by-step explanation:
A sand wedge normally costs $65.00. It is on sale for 20% off the regular price. What is the discount of the sand wedge?
Responses
A $72.00$72.00
B $13.00$13.00
C $16.25$16.25
D $52.00$52.00
E $46.00
Answer:
D
Step-by-step explanation:
........ ..........................
Answer:
D
Step-by-step explanation:
$65=100% :5
$13=20%
$65-$13=$52
I do not understand, and I really need assistance.
Answer:
yeah it will be 25 that's the dimensions
Use a calculator and inverse functions to find the radian measures of all angles having the given trigonometric values.
angles whose sine is -0.78
To find the radian measures of all angles having the given trigonometric values we use the inverse functions. In this case, we need to find the angle whose sine is -0.78.
This gives:
\(θ = sin-1(-0.78)\) On evaluating the above expression, we get the value of θ to be -0.92 radians. But we are asked to find the measures of all angles, which means we need to find additional solutions.
This means that any angle whose sine is -0.78 can be written as:
\(θ = -0.92 + 2πn\) radians, or
\(θ = π + 0.92 + 2πn\) radians, where n is an integer.
Thus, the radian measures of all angles whose sine is -0.78 are given by the above expressions. Note that the integer n can take any value, including negative values.
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1) If total costs for a product are given by C(x) = 1760 + 8x + 0.6x2 and total revenues are given by R(x) = 100x -0.4x2, find the break-even points. =
2) If total costs for a commodity are given by C(x) = 900 +25x and total revenues are given by R(x) = 100x - x2, find the break-even points. 3) Find the maximum revenue and maximum profit for the functions described in Problem #2.
a) The break-even points for the given cost and revenue functions are approximately x = 16.526 and x = 6.474.
b) The break-even points for the given cost and revenue functions are approximately x = 12.225 and x = 62.775.
c) The maximum profit for the given cost and revenue functions is approximately $843.75.
a) To find the break-even points, we need to determine the values of x where the total costs (C(x)) equal the total revenues (R(x)). We set C(x) = R(x) and solve for x:
C(x) = R(x)
1760 + 8x + 0.6x² = 100x - 0.4x²
Combining like terms and rearranging the equation, we get:
1x² - 92x + 1760 = 0
Solving this quadratic equation, we find two solutions for x:
x ≈ 16.526
x ≈ 6.474
b) Similarly, we set C(x) = R(x) and solve for x:
900 + 25x = 100x - x²
Rearranging the equation, we get:
x² - 75x + 900 = 0
Solving this quadratic equation, we find two solutions for x:
x ≈ 12.225
x ≈ 62.775
c) To find the maximum revenue, we need to determine the vertex of the revenue function R(x) = 100x - x². The x-coordinate of the vertex is given by x = -b / (2a), where a and b are the coefficients of the quadratic equation.
In this case, a = -1 and b = 100. Plugging in the values, we get:
x = -100 / (2 * -1) = 50
Substituting this value back into the revenue function, we find:
R(50) = 100(50) - (50)² = 5000 - 2500 = 2500
Therefore, the maximum revenue for the given cost and revenue functions is $2500.
To find the maximum profit, we need to subtract the total costs from the total revenues. Given that the cost function is C(x) = 900 + 25x, the profit function is P(x) = R(x) - C(x). Substituting the revenue and cost functions, we have:
P(x) = (100x - x²) - (900 + 25x)
P(x) = -x² + 75x - 900
To find the maximum profit, we need to determine the vertex of the profit function. Using the same formula as before, we find:
x = -75 / (2 * -1) = 37.5
Substituting this value back into the profit function, we find:
P(37.5) = -(37.5)² + 75(37.5) - 900 ≈ 843.75
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Find all Nash equilibria for the following game: b. Hotelling model: Two ice-cream vendors decide where to set-up their stands on a linear beach that's broken into 100 segments. There are two customers per segment and each customer will go to the closest stand. Half will go to one and half will go to the other if they 're equal distance. The vendors make $1 profit per cone. Find all Nash equilibria for this Hotelling game. Clearly demonstrate that these equilibria must be the only ones. (I suggest you do this logically instead of writing out the entire 100×100 matrix.)
In the Hotelling model with two ice-cream vendors on a linear beach divided into 100 segments, there are two Nash equilibria: the "Corner Equilibria." These equilibria occur when each vendor sets up their stand at one of the extreme ends of the beach. These equilibria are unique and cannot be surpassed by any other configuration.
In the Hotelling model, the vendors aim to maximize their profits by attracting customers. Since customers go to the closest stand, each vendor wants to position themselves in a way that minimizes the distance to potential customers.
If one vendor sets up their stand at one end of the beach, the other vendor will position themselves at the opposite end to evenly split the customers. This creates a stable equilibrium as neither vendor can gain by moving closer to the other.
Any deviation from the corner equilibria would result in a longer distance for customers, making the deviating vendor less attractive. Therefore, the corner equilibria are the only stable outcomes in this game. Other configurations would lead to a disadvantage for the vendors and thus would not be sustainable Nash equilibria.
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Question 5 5 pts When accepting data in client-server communication, what is the meaning of recv(2048)? The limit for the amount of words to accept The limit for the amount of bytes to accept The length of the encryption key used in the message. Receiving time in milliseconds.
In client-server communication, rec(2048) is a function call used in the client or server code to receive data from the socket connection. The argument "2048" refers to the maximum number of bytes to be received by the function call at a time.
So, the correct answer is:
B.
In client-server communication, the expression recv(2048) specifies the limit for the amount of bytes to accept.
In client-server communication, the recv(2048) function is typically used on the server side to receive data from the client. The argument 2048 specifies the maximum number of bytes to be received at a time. It does not indicate the limit for the amount of words or the length of the encryption key.
The recv function is a common method used in network programming to receive data over a socket connection. The number provided as an argument represents the maximum buffer size to allocate for receiving data. In this case, 2048 indicates that the server can receive up to 2048 bytes of data in a single call to recv.
The actual amount of data received may be less than 2048 bytes if there is not enough data available at the moment of the call. By specifying a buffer size, the server can efficiently handle incoming data in manageable chunks, ensuring proper handling and processing of the received information.
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I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A
The estimated crop yield from the simulation is 443 (option b).
To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.
Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81
To find the estimated crop yield, we sum up all the random numbers:
37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443
Therefore, the estimated crop yield from the simulation is 443. The correct option is b.
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Angle A and angle B are complementary. If m angle A = (9x – 40)º, m angle B = (2x + 42)°, then find m angle B.
Answer:
angle B = 58
Step-by-step explanation:
Complementary means that both angles add up to 90°.
Both angles are 9x-40 and 2x+42. Sum of both equal 90°
9x-40+2x+42=90
Combine like terms — we get:
11x+2=90
11x=90-2
11x=88
x = 8
Since we want to find angle B, substitute x = 8 in 2x+42
angle B = 2(8)+42
= 16+42
= 58
Therefore, angle B is 58.
Step-by-step explanation:
Solution,
Given,
angle A = (9x-40)°
angle B= (2x+42)°
angle A and angle B are complementary
We know that,
complementary means having 90° when added,
Therefore,
(9x-40°)+(2x+42)°=90°
9x°-40°+2x°+42°=90°
11x°+2°=90°
11x°=90°-2°
11x°=88°
x°=88°/11
x°=8
Hence,
angle A=(9x-40)°
=(9×8-40)°
=32°
angle B=(2x+42°)
=(2×8+42)°
=58°
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate.T/F
The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.
Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.
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Write as a single power, then evaluate.
(3^3)^4
Answer:
3^12 or 3^7 but I'm pretty sure its the first one
Step-by-step explanation:
Answer:
531,441Step-by-step explanation:
\( { ({3}^{3} )}^{4} \\ {3}^{12} \\ (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ 531441 \\ \)
katie, elizabeth and scott volunteer at a hospital in one week. katie volunteers 3 more hours than elizabeth and scott volunteers 1 hour less than katie. in over 3 weeks the number of hours katie volunteers is equal to the sum of elizabeth and scotts volunteer hours in 3 weeks
Step-by-step explanation:
ALGEBRA 1
Lilly S. asked • 08/16/17
3 girls get volunteer hours.
Katie, Elizabeth, and Siobhan voluenteer at the hospital. In a week, Katie volunteers 3 hours more than Elizabeth does and Siobhan volunteers 1 hour less than Elizabeth. Over 3 weeks, the number of hours Katie volunteers is equal to the sum of Elizabeth's and Siobhan's volunteer hours in 3 weeks.
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Andy C. answered • 08/16/17
TUTOR 4.9 (27)
Math/Physics Tutor
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We know nothing about Elizabeth hours, so that is where you assign the variable.
Elizabeth = X
Katie = X+3
Siobhan = X -1
Assuming this holds true over 3 weeks,
3(x+3) = 3X + 3(x-1)
3x + 9 = 3x + 3x - 3
3x + 9 = 6x - 3
0 = 6x - 3 - 3x - 9
0 = 3x - 12
12 = 3x
x=4
in one week:
Elizabeth volunteers 4 hours
Katie volunteers 7 hours
Siobhan volunteers 3 hours
over three weeks:
Elizabeth volunteers 12 hours
Katie volunteers 21 hours
Siobhan voluteers 9 hours
21 = 12 + 9, so yes it checks.
The mean life of a television set is 123 months with a standard deviation of 19 months. If a sample of 55 televisions is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than 1.2 months? I just need help getting from 1 - P (-0.47 < z < 0.47) to the answer. In my lesson it says the next step is 0.3192 but I have NO CLUE where that number comes from. Please help me! Thank you!
Answer:
1- P(-0.47 < z < 0.47) = 0.63836
Step-by-step explanation:
Here, we want to get the answer to;
1-P ( -0.47 < z < 0.47)
Mathematically, we are going to use the standard normal distribution table for this
Let us try to evaluate;
P(-0.47 < z < 0.47)
Mathematically, that will be;
P (z < 0.47) - P(z < -0.47)
where P (z < -0.47) = P( z > 0.47)
so we have
P(-0.47 < z < 0.47) = P(z < 0.47) - P(z > 0.47)
So we have this using the standard normal distribution table as follows;
0.68082 - 0.31818 = 0.36164
Now, we can insert this in the earlier expression of;
1- P(-0.47 < z < 0.47)
= 1-0.36164 = 0.63836