This is my last question ​

Answer:

B) x+22

Step-by-step explanation:

PS= PQ+QR+RS

PS= 2x+4+8+10-x

PS= x+22

Hope this helps you.

Answer:

Step-by-step explanation:

PQ=2x+4

QR=8

RS=10-x

to find PS

we need to add PQ,QR,RS

According to the question

PQ+QR+RS

2x+4+8+10-x

2x-x+4+8+10

2x-x+12+10 (combine the like terms)

x+22 (collect the like terms)

The z-score for x = 61.6 is 2.45.

This means that this data point is 2.45 standard deviations above the sample mean.

'

The z-score is a measure of how many standard deviations a data point is from the mean. It is calculated using the formula:

z = (x - μ) / σ

Where x is the data point, μ is the sample mean, and σ is the sample standard deviation.

In this case, x = 61.6, μ = 52.3, and σ = 3.8. Plugging these values into the formula gives:

z = (61.6 - 52.3) / 3.8

z = 9.3 / 3.8

z = 2.447

Rounding to two decimal places gives a z-score of 2.45.

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The form of controls that are effective in eliminating, reducing, or minimizing hazards is called; Engineering controls

Engineering controls are defined as strategies that are designed to protect workers from hazardous conditions by placing a barrier between the worker and the hazard or by removing a hazardous substance through air ventilation.

Now, the reason why this is effective in eliminating, reducing, or minimizing hazards is because they are designed to remove the hazard at the source, before it comes in contact with the worker.

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The slope of the tangent to y = cos(x) - sin(x) at the point where x = 31 is -sin(31) - cos(31).

To find the derivative of f(x) = e^x, we can use the chain rule. The chain rule states that if we have a composite function f(g(x)), the derivative is given by f'(g(x)) * g'(x).

For f(x) = e^x, the derivative is f'(x) = e^x. Since g(x) = x, the derivative of g(x) is g'(x) = 1.

Applying the chain rule, we have:

f'(x) = f'(g(x)) * g'(x) = e^g(x) * 1 = e^x.

So, the derivative of f(x) = e^x is f'(x) = e^x.

To find f'(0), we substitute x = 0 into the derivative:

f'(0) = e^0 = 1.

Therefore, the value of f'(0) is 1.

Regarding the expression "Inx", it seems to be a typo. If you meant "ln(x)" instead, then "ln(x)" is the natural logarithm of x, not the same as log x. The natural logarithm is the logarithm to the base e.

For the second part of the question, we need to find the slope of the tangent to y = cos(x) - sin(x) at the point where x = 31.

To find the slope, we take the derivative of the function y = cos(x) - sin(x). The derivative of cos(x) is -sin(x), and the derivative of sin(x) is cos(x).

So, the derivative of y = cos(x) - sin(x) is y' = -sin(x) - cos(x).

Substituting x = 31 into the derivative, we have:

y' = -sin(31) - cos(31).

Therefore, the slope of the tangent to y = cos(x) - sin(x) at the point where x = 31 is -sin(31) - cos(31).

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To find the mean salary of 20 workers, 12 men and 8 women, you need to follow these steps:

Assuming you have the salaries of all 20 workers, the steps above will give you the mean salary. If you only have the salaries of the men and women separately, you can find the mean salary for each group and then take a weighted average based on the proportion of men and women in the sample. For example:

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The mean salary of all 20 workers is $46,000.

To find the mean salary of 20 workers, 12 men and 8 women, you need to sum up the total salaries of all the workers and divide by the total number of workers (20).

Assuming you have the salaries of all 20 workers, you can add up the salaries of all the workers and divide by 20 to get the mean salary.

If you don't have the salaries of each worker but have the average salary of men and women separately, you can use the weighted average formula to find the overall mean salary.

If the average salary of men is $50,000 and the average salary of women is $40,000, you can calculate the overall mean salary as follows:

(mean salary of men * number of men + mean salary of women * number of women) / total number of workers

= (50,000 * 12 + 40,000 * 8) / 20

= 46,000

Therefore, the mean salary of all 20 workers is $46,000.

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Your complete question is:

How to find the mean salary of 20 workers 12 men 8 women, If the average salary of men is $50,000 and the average salary of women is $40,000?

Answer:

-9/4 or -2 1/4 (it is the same amount)

Step-by-step explanation:

Step-by-step explanation:

\(z=180-50-84\\z=46\\y=180-z\\y=180-46\\y=134\\x=180-13-y\\x=180-13-134\\x=33\)

Answer:

64 sq cm

Step-by-step explanation:

divide the shape into a 6x8 rectangle and a 4 x 8 triangle

6x8=48

.5x4x8=16

48+16=64

Each label should be dragged to the correct location in the equation as follows:

100 yards/1 × (3) feet/1 yards × (12) inch/1 foot × (2.54) cm/1 inch × 1 (meter)/100 cm = (91.44) meter

A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 yard = 0.9144 meter

100 yards = X meters

Cross-multiplying, we have:

X = 0.9144 × 100

X = 91.44 meters.

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The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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The yearly breakeven point for Umbridge Purses Unlimited is 20,000 units.

To determine the contribution margin per unit, we subtract the variable cost per unit from the sales price per unit.

In this case, the variable cost per unit is the cost to produce each purse, which is $20, and the sales price per unit is $35.

Therefore, the contribution margin per unit is $35 - $20 = $15.

Next, we divide the total fixed costs of $300,000 by the contribution margin per unit of $15 to find the yearly breakeven point in units.

Breakeven point in units = Total fixed costs / Contribution margin per unit

Breakeven point in units = $300,000 / $15 = 20,000 units.

Therefore, the yearly breakeven point for Umbridge Purses Unlimited is 20,000 units.

This means that the company needs to sell at least 20,000 units in a year to cover all its costs and reach the breakeven point without incurring any losses or making any profits.

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Answer:

140-111=29

Step-by-step explanation:

Answer:

29 Sugar Cookies

Step-by-step explanation:

1/4 of 140 = 35 Chocolate Chip

1/7 of 140 = 20 Peanut Butter

2/5 of 140 = 56 M&M

So, (35 + 20 + 56) = 111

140 total cookies - 111 choc. chip, PB, and M&M = 29 Sugar Cookies that remain

There are 29 Sugar cookies!

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

Answer:

\(height = \frac{12 - 8}{2} = 2 \\ area = \frac{(12 + 8) \times 2}{2} = 20\)

Answer:

2x^4+4x^2+2

Step-by-step explanation:

f(x) = x^2+1

g(x) = 2x^2

g(f(x))=

Replace x in the function g(x) with the function f(x)

         =2( x^2+1)^2

         = 2( x^2 +2x^2 +1)

         = 2x^4+4x^2+2

Answer:

3/4 students (75/100)

Step-by-step explanation:

in total there are 100 students. 75 of them either like sports or works.

Answer:

64

Step-by-step explanation:

)3£56::?£

yerk

v hi is

)(5_-

To find the probability that more than 20% of the students in the sample would respond that they spend more than 4 hours per night on homework, we can use the binomial distribution formula.

Let's denote the probability of a student spending more than 4 hours per night on homework as p. In this case, p = 0.15, as given in the problem. The sample size is n = 120. The probability of more than 20% of the students responding that they spend more than 4 hours per night on homework can be calculated as the sum of probabilities for all values greater than 20%. Mathematically, this can be expressed as: P(X > 0.20n) = P(X > 0.20 * 120) = P(X > 24)

To calculate this probability, we can use the binomial distribution formula: P(X > 24) = 1 - P(X ≤ 24) = 1 - ∑(k=0 to 24) C(120, k) * p^k * (1-p)^(120-k) Evaluating this expression, we find that the closest value to the probability that more than 20% of the students in the sample would respond that they spend more than 4 hours per night on homework is 0.0809.

Therefore, the answer is 0.0809.

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Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

Answer:

No

Step-by-step explanation:

x=(b-5)/c≠(5-b)/c

supposedly

b=6

c=1

x=6-5/1=1

x=5-6/1= -1

1≠ -1

Answer:

No

Step-by-step explanation:

x = b - 5 / L equal to - (5 - b) / L

Answer: Slope: 0

              y-intercept: (0,7)

Step-by-step explanation:

There are 252 odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999.

To determine the number of odd numbers with the middle digit as 5 and no repeated digits between 20,000 and 69,999, we need to consider the possible combinations for the remaining digits.

Since the middle digit is fixed as 5, we have three remaining digits to consider: the thousands digit, hundreds digit, and units digit.

Thousands Digit:

The thousands digit cannot be 0, 5 (as it is the middle digit), or 6 (to stay within the given range). So, we have 7 possible options: 2, 3, 4, 7, 8, and 9.

Hundreds Digit:

The hundreds digit can be any digit from 0 to 9, excluding the already used digits in the thousands and middle positions. So, we have 9 possible options.

Units Digit:

The units digit must be an odd number, excluding 5 (as it is the middle digit) and any digit already used in the thousands and hundreds positions. So, we have 4 possible options: 1, 3, 7, and 9.

By multiplying the number of options for each digit, we obtain the total number of odd numbers meeting the given conditions:

7 (thousands) * 9 (hundreds) * 4 (units) = 252

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The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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Given dimensions of rectangular design:

Width = w1 = 5 in

Length = l1 = 8 in

As mentioned, Katie uses a copy machine to enlarge her rectangular design. Therefore,

new width = w2 = 10 in

new length = l2 = x in

Katie creates a large copy of the original design. Therefore, the ratio of length to width must remain the same (as the original design). So, we can write as:

Now, let's put all the values in the equation

or

x = 16

Therefore, the new length would be 16.

As per the question, All four students A, B, C, and D are loss-averse over money and have the same value function as below:v(x dollars)={√x     x ≥ 0   {-2√-x  x < 0They are also loss averse over mugs and have the same value function.

v(y mugs)={3y y ≥ 0
        {4y y < 0
Now, we have to find the values of a, b, c and d as below:
- Student A owns a mug and is willing to sell it for a price of a dollars or more. i.e v(a) = v(0) + v(a-A), where A is the initial endowment of A. According to the given function, v(0) = 0, v(a-A) = 3, and v(A) = 4.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. i.e v(B-b) = v(B) - v(0), where B is the initial endowment of B. According to the given function, v(0) = 0, v(B-b) = -4, and v(B) = -3.
So, b ≤ B+1/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. i.e v(c) = v(0) + v(c), where C is the initial endowment of C. According to the given function, v(0) = 0, v(c) = 3.
So, c = C/2
- Student D is indifferent between losing a mug and losing d dollars. i.e v(D-d) = v(D) - v(0), where D is the initial endowment of D. According to the given function, v(0) = 0, v(D-d) = -3.
So, d = D/2
2) In this case, value function for money changes to:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
However, the value function for mugs remains the same:v(y mugs)={3y y ≥ 0
         {4y y < 0
Therefore, values for a, b, c, and d will remain the same as calculated in part (1).
3) In this case, students are not loss-averse. Value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs:v(y mugs)={3y y ≥ 0
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 3 initially and he would sell it for 3 or more.
So, a ≥ A+3/2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3
4) In this case, value function for money:v(x dollars)={√x     x ≥ 0
            {-√-x   x < 0
Value function for mugs: Mug will have a value of 4 for someone who owns it and 3 for someone who does not own it.
The reference point is the status quo, i.e initial endowment. So,
- Student A owns a mug and is willing to sell it for a price of a dollars or more. The value of mug for A is 4 initially and he would sell it for 4 or more.
So, a ≥ A+2
- Student B does not own a mug and is willing to pay up to b dollars for buying it. The value of mug for B is 3 initially and he would buy it for 3 or less.
So, b ≤ B+3/2
- Student C does not own a mug and is indifferent between getting a mug and getting c dollars. The value of the mug for C is 3 initially and he would like to buy it for 3.
So, c = 3
- Student D is indifferent between losing a mug and losing d dollars. The value of the mug for D is 3 initially.
So, d = 3.

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The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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