The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
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1. A chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch. Alonzo wants to make 3 12 batches. a. How many chocolate chips will he need?
Given:
1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.
Alonzo wants to make 3 12 batches.
Lets's find the number of chocolate chips he will need.
Number of batches he wants to make is = 3 x 12 = 36 batches
SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:
\(undefined\)What expression represents the length of the rectangle?
Answer:
\(x\) + 3 represents the length of the rectangle..
Answer:
Step-by-step explanation:
I can give you an answer
can u give me a brill please
Area = L * W
(x^2- 6x - 7) = L * (x - 7)
(x - 7)(x + 1) = L * (x - 7)
(x - 7)(x + 1)
========= = L
(x - 7)
(x + 1) = L
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
inge flies a kite at a height of 300 ft, the wind carrying the kite horizontally away at a rate of 25 ftsec. how fast must she let out the string when the kite is 500 ft away from her?
20 ft/sec must she let out the string when the kite is 500 ft away from her.
What is rate?
A rate is a unique ratio where the two words are expressed in several units.
For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. Cents and ounces are the two dissimilar units in this ratio.
Let x = distance of girl from the point on the ground directly below the kite at time t
y = length of string at time t
At time t, we have a right triangle with horizontal leg of length x, vertical leg of length 300, and hypotenuse of length y.
Given: dx/dt = 25
Find: dy/dt when y = 500
By the Pythagorean Theorem, \(x^2 +300^2 = y^2\)
Differentiating both sides, with respect to t,
\((2x)\frac{dx}{dt} = 2y\frac{dy}{dt}\) ...(1)
Since, \(x^2 +300^2 = y^2\), y = 500,
So, x = 400
Plug these values in equation (1).
\(2(400)(25) = 2(500)\frac{dy}{dt}\)
After solving,
\(\frac{dy}{dt} = 20 ft/sec\)
Therefore, 20 ft/sec must she let out the string when the kite is 500 ft away from her.
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A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The number of shoppers for the fourth day is 216.
How many shoppers were at the mall in total for the four days?
Answer:
234
Step-by-step explanation:
True or False? suppose bx and dx both contain positive integers. if adding them produces a negative result, the overflow flag will be set.
True.
If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.
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a study of 85 adults showed that most owned at least 50 books. what type of data is 50
The data point "50" represents a quantitative discrete variable in this study. In the given context, the data point "50" represents the number of books owned by individuals in a study of 85 adults.
Based on this information, the type of data represented by "50" is quantitative. Specifically, it is a discrete variable because it represents a countable value that can only take on whole numbers. In this case, "50" represents the minimum number of books owned by most adults in the study. Quantitative data refers to numerical measurements that can be analyzed and manipulated mathematically. It provides a more precise and detailed understanding of the phenomenon under study. By categorizing the number of books owned by individuals, researchers can gather insights into people's reading habits and preferences. Analyzing this data further may reveal trends, pattern, or relationships between book ownership and various factors, such as age, education, or socioeconomic status.
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Question 2 of 6 View Policies Current Attempt in Progress Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.
Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)
Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14
Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.
Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w
Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
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Jimena was looking at the architect's blueprint for her house. The dimensions of her bedroom are 12 feet by 16 feet.
The scale on the blueprint of the house is
1/4 inch = 1 foot.
Choose the two dimensions that represent the width and length of Jimena's bedroom on the blueprint.
The ratio between the scale is a fraction of 0.25 inch to 1 foot and the dimension on the blue print is 3in by 4in
RatiosThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.
If the ratio of the scale is 1/4 in = 1ft
0.25 in = 1ft
We can convert the dimensions into in.
0.25 in = 1ft
x in = 12ft
x = 3in
0.25 in = 1 ft
x in = 16ft
x = 4in
The dimension on the blue print is 3in by 4 in
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What place value docs the 6 have in 764,328
Answer:
It's in the ten thousands place
Step-by-step explanation:
700,000
60,000
4,000
300
20
8
764,328
Hope this helps. Have a nice day
Answer:
6 is in the ten thousandth place
Find the volume of the cylinder rounded to the nearest tenth.
Answer:
2002.8 mm³
Step-by-step explanation:
You want the volume of a cylinder with radius 5 mm and height 25.5 mm.
CylinderThe formula for the volume of a cylinder is ...
V = πr²h
Using the given dimensions, it is found to be ...
V = π·(5 mm)²(25.5 mm) = 637.5π mm³
V ≈ 2002.8 mm³
The volume of the cylinder is about 2002.8 cubic millimeters.
What is twice the successor of 124 divided by 5 for class 5th
If we take the number after 124, which is 125, and multiply it by 2, we get 250. Then, when we divide 250 by 5, the result is 50.
The question asks for twice the successor of 124 divided by 5. Let's break it down step by step:
1. The successor of a number is the next number after it. So the successor of 124 would be 125.
2. Now, we need to find twice the successor of 124, which means multiplying it by 2. Therefore, twice the successor of 124 is 2 * 125 = 250.
3. Finally, we divide 250 by 5 to get the answer. Dividing 250 by 5 gives us 50.
So, the answer to the given question is 50.
To summarize:
- Successor of 124 is 125.
- Twice the successor of 124 is 250.
- Dividing 250 by 5 gives us the answer of 50.
In simpler terms, if we take the number after 124, which is 125, and multiply it by 2, we get 250. Then, when we divide 250 by 5, the result is 50.
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solve 2/x-1=16/x^2+3x-4
The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:
1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)
2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:
\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)
3. Simplify the equation:
\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)
4. Combine like terms:
-x^3 - x^2 + 14x - 8 = 16x
5. Move all terms to one side of the equation:
\(-x^3 - x^2 - 2x - 8 = 0\)
6. Rearrange the equation in descending order:
-x^3 - x^2 - 2x + 8 = 0
7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.
8. Divide the equation by (x - 2):
\(-(x - 2)(x^2 + x - 4) = 0\)
9. Apply the zero product property:
x - 2 = 0 or x^2 + x - 4 = 0
10. Solve each equation separately:
x = 2
11. Solve the quadratic equation:
For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:
\(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)
Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)
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when a chip fabrication facility is operating normally, the lifetime of a microchip operated at temperature measured in degrees celsius, is given by an exponential random variable with expected value years. occasionally, the chip fabrication plant has contamination problems and the chips tend to fail much more rapidly. to test for contamination problems, each day chips are subjected to a one-day test at based on the number of chips that fail in one day, design a significance test for the null hypothesis the plant is operating normally. (a) suppose the rejection set of the test is find the significance level of the test as a function of the number of chips tested. (b) at temperature degree celsius, how many chips must be tested so that the significance level is note that must be an integer. (c) if we raise the temperature during the test, the number of chips we need to test will choose .
a. The significance level of the test is the probability of rejecting the null hypothesis 1 - F(k). b. The value of k at the midpoint of this interval is the solution. c. the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure.
(a) Suppose the rejection set of the test is {k or more chips fail in one day}. To find the significance level of the test as a function of the number of chips tested, we need to calculate the probability of rejecting the null hypothesis when it is true, which is the probability of observing k or more failures in one day when the chips are operating normally. This probability is given by the cumulative distribution function (CDF) of the exponential distribution with mean years, evaluated at the time period of one day:
P(reject null | null is true) = P(k or more failures in one day | normal operation) = 1 - F(k)
where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365. The significance level of the test is the probability of rejecting the null hypothesis when it is true, so we have:
significance level = P(reject null | null is true) = 1 - F(k)
(b) To find the number of chips that must be tested at temperature degree Celsius so that the significance level is , we need to solve the equation:
1 - F(k) =for k, where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365 and is the desired significance level. Since the exponential distribution is a continuous distribution, we can use a numerical method to solve this equation. One way is to use a root-finding algorithm such as the bisection method or Newton's method. For example, using the bisection method, we can start with an initial interval [a, b] that brackets the solution and iteratively bisect the interval until we obtain an interval of desired width that contains the solution. The value of k at the midpoint of this interval is the solution.
(c) If we raise the temperature during the test, the number of chips we need to test will decrease. This is because the higher temperature increases the failure rate of the chips, making it easier to detect contamination problems. However, the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure, so we cannot give a general answer to this question without more information.
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Please help me!!! I don't know!
txcfygvubhjnlkm
Answer:
See explanation
Step-by-step explanation:
look photo
How do you find the measure of an angle in a triangle isosceles?
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
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d. 11=%
9
Express the following percent as fractions and decimals
Answer:
11_100
0.11
iam not sure
best of luck
Use the ratio table to solve the percent problem.
What percent is 6 out of 30?
2%
6%
20%
30%
A table displaying Part in one column and Whole in the other. The part column contains 6 and a question mark. The whole column contains 30 and 100.
Answer:
20%└|∵|┐♪└|∵|┐♪└|∵|┐♪└|∵|┐♪
Step-by-step explanation:
denada ┌(・。・)┘♪
Answer:
20%
Step-by-step explanation:
answer this i'll give u 15 points
17:2
girls to boys
hope this helps u :)
Blink When two lights that are close together blink alternately, we "see" one light moving back and forth if the time between blinks is short. What is the longest interval of time between blinks that preserves the illusion of motion? Ask subjects to turn a knob that slows the blinking until they "see" two lights rather than one light moving. A report gives the results in the form "mean plus or minus the standard error of the mean."11 Data for 12 subjects are summarized as 251 ± 45 (in milliseconds).
Find the sample standard deviation sx for these measurements.
A hasty reader believes that the interval given in the report is a 95% confidence interval for the population mean. Find the actual confidence level for the given interval.
The sample standard deviation Sₓ for these measurements is 155.8846 and the actual confidence level for the given interval is unknown.
What is standard deviation?Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Given that, a report gives the results in the form "mean plus or minus the standard error of the mean."11 Data for 12 subjects are summarized as 251 ± 45
SE = 45, x = 251, n = 12,
Confidence level =
SE = Sₓ/√n
Sₓ = 45 × √12
Sₓ = 155.8846
The confidence interval is calculated by using the formula,
x ± (t* × E),
The interval in the problem is (t* × E),
And, t* is unknown.
As a result, the provided interval is not a confidence interval.
Hence, the sample standard deviation Sₓ for these measurements is 155.8846 and the actual confidence level for the given interval is unknown.
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Question 5
Which list orders the integers from least to greatest?
O-5, 3, -2, 4
O-2, 3, 4, -5
O-5, -2, 3, 4
O-2, -5, 3, 4
Answer:
-5, -2, 3, 4
The larger a negative number is, the smaller it is, and the larger a positive number is, the larger it is. Remember that negative numbers are opposite positive numbers.
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answer: The Answer is A
Step-by-step explanation:
Answer:
A on edge2020
Step-by-step explanation:
The mean weight of a domestic house cat is 8.9 pounds with a standard deviation of 1.1 pounds. The distribution of domestic house cat weights can reasonably be approximated by a normal distribution. What proportion of domestic house cats weigh less than 7 pounds?
Answer:
0.0421
Step-by-step explanation:
We solve using the z score formula
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = μ = 8.9 pounds
σ is the population standard deviation = σ = 1.1 pounds
For x < 7 pounds
z = 7 - 8.9/1.1
= -1.72727
Probability value from Z-Table:
P(x<7) = 0.042059
Therefore, the proportion of domestic house cats weigh less than 7 pounds is
0.042059
Approximately = 0.0421
Which shows the expressions in the order they would appear on a number line from least to greatest? 043 140 13 14 9 OM 17. 173. 140.43 04°. 57. 1139 OVAO 113. 17.40
Answer:
\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)
Step-by-step explanation:
Given
\(4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7\)
Required
Order from least to greatest
First, we solve for each expression
\(4^3 = 64\)
\(\sqrt{40} = 6.32\)
\(\sqrt{13} = 3.61\)
\(\frac{14}{9} = 1.56\)
\(\sqrt{7} = 2.66\)
From least to greatest, we have:
\(1.56, 2.66. 3.61, 6.32, 64\)
Hence, the list is:
\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)
a. what is the probability a randomly selected person will have an iq score of less than 80? (round your answer to 4 decimal places.)
The probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18%
To find the probability that a randomly selected person will have an IQ score of less than 80, we need to consider the properties of the normal distribution, as IQ scores typically follow a normal distribution with a mean (μ) of 100 and a standard deviation (σ) of 15.
1. Calculate the z-score: The z-score represents the number of standard deviations a data point is from the mean. Use the formula:
z = (X - μ) / σ
where X is the IQ score, μ is the mean, and σ is the standard deviation.
z = (80 - 100) / 15
z = -20 / 15
z = -1.3333
2. Look up the z-score in a standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability is 0.0918.
Therefore, the probability that a randomly selected person will have an IQ score of less than 80 is approximately 0.0918, or 9.18% when rounded to four decimal places.
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A researcher is investigating the effect of sleep deprivation on learning. She recruits 30 participants and randomly assigns half to a "no sleep" group and half to a "regular sleep" group. The "no sleep" group are required to stay up all night and report to a testing room at 2PM the following day. The "regular sleep" group are instructed to have a normal night's sleep and report to the testing room at 9AM the following day. Unfortunately, a water pipe broke outside the testing room window and there was noisy construction crew working the whole day of testing. Which of the following statements is true?
a. The study may be affected by a situational variable.
b. The construction noise may contribute to variability in test scores.
C. The study has a confounding variable. The groups differ in the time they are to report to the testing room.
d. All of these are true.
The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.
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Which of the following expressions is equal to x · x · x · x · x · x?
A) x^6
B) 6 + x
C) 6x
D) x/6
Answer: A
Step-by-step explanation:
x ^ 6 = x · x · x · x · x · x
6 + x = x + 6
6x = x + x + x + x + x + x
x / 6 = x / 6
Answer: 6
Step-by-step explanation:
Plz help ASAP PLZZZ!!!
Answer:
A. EF
Step-by-step explanation:
Answer:
EF
Step-by-step explanation:
The reason is because EF and BC are in the same plane
What is the area of a triangle if the vertices are at
A(-11, 4)
B(-7, 8)
C(-4, 4)
Answer:
14 square units
Step-by-step explanation:
You want the area of the triangle whose vertices are the points A(-11, 4), B(-7, 8), C(-4, 4).
Area formulaThe area of a triangle is given by the formula ...
A = 1/2bh
where b is the base of the triangle, and h is the height, the1 perpendicular distance to the opposite vertex.
DimensionsThe diagram shows one side is the horizontal line AC. The length of that is the difference of the x-coordinates of the end points:
b = -4 -(-11) = 7
The opposite vertex, B, has a y-coordinate of 8, so the height of the triangle is ...
h = 8 -4 = 4
ApplicationWe now have the information we need to use the area formula:
A = 1/2(7)(4) = 14 . . . . square units
The area of ∆ABC is 14 square units.
__
Additional comment
You can use the diagram and count grid squares to find the dimensions of the triangle.
Determine the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD. D=100k,L=140k assume L<100psf,Lr=40k,W=+160k or −100k,E=+180k or −125k
The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.
The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,
where
D = 100k,
L = 140k, L < 100psf,
Lr = 40k,
W = +160k or −100k, and
E = +180k or −125k is given below:
Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)
Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.
Therefore, for the given loads,
D = 100k
L = 140k
Lr = 40k
W = +160k or −100k
E = +180k or −125k
Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W
= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160
= 120 + 64 + 90 + 160
= 434 kips
Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.
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