Temperatures in F degrees can be converted in degrees Celcius using the formula C=
\(\frac{5(F-32)}{9}\)

Make F the subject of the formula

Give your answer in the form \(\frac{aC + b}{c}\) where a, b and c are all positive integers

Answer:

91

Step-by-step explanation:

Comment if you need an explanation

Hope This Helps! •v•

Answer:

The length of the rectangle is 83cm.

Step-by-step explanation:

Answer: men: 120 men, 310 women, and 170 children

600*0.2=120

600*0.35=310

600-120-310=170

7/12

Step-by-step explanation:

let x=0.583333..

multiply by powers of 10 to get repeated 3's only on the rights for two different multiples of x

1000x= 583.33

100x=58.33

50x= 525/900

=25x21/25x36

=21/36

=7/12

A) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

a) Over 1250 poundsTo find the percentage of steers that weigh over 1250 pounds, you need to calculate the z-score first.  The z-score formula is: `z = (x - μ) / σ`, where `x` is the weight in pounds, `μ` is the mean weight of the steers, and `σ` is the standard deviation of the weights.

Substituting in the values given, we get: `z = (1250 - 1152) / 84 = 1.17`.Using a standard normal distribution table, the area to the right of `z = 1.17` is 0.879, or 87.9%. Therefore, approximately 87.9% of steers weigh over 1250 pounds.b) Under 1200 pounds

To find the percentage of steers that weigh under 1200 pounds, you need to calculate the z-score again. `z = (1200 - 1152) / 84 = 0.57`.Using the same standard normal distribution table, the area to the left of `z = 0.57` is 0.712, or 71.2%.

Therefore, approximately 71.2% of steers weigh under 1200 pounds.c) Between 1000 and 1100 poundsTo find the percentage of steers that weigh between 1000 and 1100 pounds, you

need to find the area to the left of `z = (1100 - 1152) / 84 = -0.62` and the area to the left of `z = (1000 - 1152) / 84 = -1.71`.Using the standard normal distribution table, the area to the left of `z = -0.62` is 0.269, and the area to the left of `z = -1.71` is 0.044.

Therefore, the area between these two z-scores is 0.269 - 0.044 = 0.225, or 22.5%. Therefore, approximately 22.5% of steers weigh between 1000 and 1100 pounds.

Answer: a) approximately 87.9% of steers weigh over 1250 pounds, b) approximately 71.2% of steers weigh under 1200 pounds, c) approximately 22.5% of steers weigh between 1000 and 1100 pounds. Total of 150 words.

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The probability that none are mechanical engineering majors is 0.51.

The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.

Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.

The complete question is:-

In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?

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The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

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In response to the query, Line C traverses Point (10, 10) & (1, 5). Line d and line c are parallel, and line d's slope is 5/9.

Parallel in mathematics refers to the different vectors that should never have cross each other with. Parallel relates directly to complementarity or contemporaneous higher incidence.

A straight line's general equation is: y = mx + c [m] where [m] is the slope of the line and represents the unit change rate of [y] without respect to [x].

The y-intercept, or the place where the graph crosses the [y] axis, is represented by [c].

When (x1, y1) and (x2, y2) are really the coordinates of 2 points on the line, m = (y2 - y1) / (x2 - x1).

adding the values we obtain,

m = (5 - 10) / (1 - 10) = -5 / -9 = 5/9

Therefore, the slope of line [d] would be 5/9.

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In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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Answer:

angle 78 corresponds with 1 and it also alternate s with 3. they are all equal in the first one

Answer:

february

plzz mark as a brainlist

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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The correct answer is C.1 raised to the power of 14 is equal to 1.so the  the simplified form of 1¹4 is 1.

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To compute the slope, intercept, and equation to predict the Price, we will use the formulae below:

For the equation

For the slope

For the intercept

In this case, we have the following data given:

Part A

Upon substituting the above into the formula, we will have

Hence slope = 141.41

Part B

Hence, Intercept =-292.099

PART C

The equation that can be used to predict Price from Capacity

Therefore, the equation is

Price=-292.099+(141.41)capacity

Part D

To predict the price of a 20.0TB disk, we will simply set the capacity= to 20 and then simplify

Hence, the predicted price is=2536.10

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

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Answer:

hi i dont know the ans but it have this app called photomath that will help u

The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

When studying the incidence of rare phenomena, researchers should use "relatively large samples". Using a large sample corrects for bias. If bias has been eliminated, it is safe to assume that the sample is free of sampling errors." The effects of random sampling errors are predictable in the long run.

One of the most effective methods that can be used by researchers to avoid sampling bias is simple random sampling, in which samples are chosen strictly by chance. This provides equal odds for every member of the population to be chosen as a participant in the study at hand.

The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

Non-probability sampling often results in biased samples because some members of the population are more likely to be included than others.

To avoid non-response bias, researchers should keep surveys as simple as possible, with clear wording and instruction and seek respondents who are relevant to the survey topic.

Therefore,

The prevalence of sampling errors can be reduced by increasing the sample size. As the sample size increases, the sample gets closer to the actual population, which decreases the potential for deviations from the actual population.

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The standard deviation of the rate of return on this investment is approximately 0.55. This means the investment’s annual return is expected to deviate from the mean by an average of 0.55.


To calculate the standard deviation, we need to determine the possible returns and their probabilities. Let’s assume an initial investment of $100. With a 0.62 chance of doubling the investment, we have a 0.62 probability of getting a return of $200 (doubling the initial investment) and a 0.38 probability of halving the investment to $50.
Now we calculate the expected return (mean): (0.62 * $200) + (0.38 * $50) = $124 + $19 = $143.
Next, we calculate the variance:
[(($200 - $143)^2 * 0.62) + (($50 - $143)^2 * 0.38)] = ($57^2 * 0.62) + ($93^2 * 0.38) = $2032.86 + $3370.42 = $5403.28.
Finally, we take the square root of the variance to obtain the standard deviation: √$5403.28 ≈ $73.54.
Since we are interested in the rate of return, we divide the standard deviation by the initial investment of $100, yielding a standard deviation of approximately 0.7354 or 0.55 when rounded to two decimal places.

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The study of hypnosis and its relationship to hysteria was the starting point for the development of psychoanalysis by Sigmund Freud.

The study of hypnosis and hysteria in the late 19th century by Sigmund Freud and his contemporaries led to the development of psychoanalysis, a form of psychotherapy that emphasizes the role of unconscious thoughts and feelings in shaping behavior. Through his work with patients suffering from hysteria, Freud became interested in the idea that psychological conflicts could be traced back to early childhood experiences, and that these conflicts could be resolved through the exploration of unconscious thoughts and feelings. This eventually led to the development of psychoanalysis as a theory and practice for the treatment of psychological disorders.

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\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=7\\ h=19 \end{cases}\implies V=\pi (7)^2(19)\implies V\approx 2924.8~ft^3\)

Answer:

A = $12.30

Step-by-step explanation:

15 × 82 = 12.3

100

Answer:

From the bit that you have given , we can say = 5a + ab = to the rest of the equation

Answer:

256

Step-by-step explanation:

(-2)^4 = 16 so 16 * 16 = 256

U and V are continuous random variables, the probability \(p_1\) that train X arrives before train Y is \(p_1=P(U < V)=\frac{1}{2}\)

Two trains, X and Y, arrive at a station at random between 8:00 am and 8:20 am. The times of their arrival are independent.

Let U denotes the time (in minutes) train X takes to arrive at station after 8:00 am, V denotes the time (in minutes) train Y takes to arrive at station after 8:00 am.

So, U, V ~ U(0, 20) . Therefore \(\frac{U}{20},\frac{V}{20}\) ~ U (0, 1)

Since U and V are continuous random variables, the probability \(p_1\) that train X arrives before train Y is \(p_1=P(U < V)=\frac{1}{2}\)

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The given question is incomplete, complete question is:

Two trains, X and Y, arrive at a station at random between 8:00 am and 8:20 am. The times of their arrival are independent. Train X stops for 4 minutes, and train Y stops for 5 minutes.

a) Find the probability p1 that train X arrives before train Y.

The probability of a goal given that Wayne took the shot would depend on various factors,

To determine the probability of a goal given that Wayne took the shot, we would need to know the success rate of Wayne's shots.

If we have that information, we can use it to calculate the conditional probability of a goal.

For example,

If we know that Wayne has a 20% success rate on his shots, then the probability of a goal given that Wayne took the shot would be 0.2 (or 20%).

The probability of a goal given that Wayne took the shot would depend on various factors, such as Wayne's skill level, the position he took the shot from, the opposition team's defense, the weather conditions, and many other factors.

If you have more information about these factors or any other relevant details, please provide them, and I will try my best to help you with the calculation.

However,

If we don't have any information on Wayne's success rate, it would be difficult to calculate the probability accurately.

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Answer:

f(a)=3(a+2)-2

f(4)=3(4+2)-2

f(4)=3(6)-2

f(4)=18-2

f(4)=16

Hope  this helps!

Answer:

f(4)= 16

Step-by-step explanation:

f(4)= 3(a + 2) -2

f(4)= 3(4 + 2) -2

f(4) = 3(4) + 3(2) -2

f(4)= 12 + 6 -2

f(4)= 18-2

f(4)= 16

The answer is ,the given function y = \((e - 4x - 2)^{-0.25}\) is a solution to the given differential equation y' = y + 2y⁵.Hence , it is verified.

Given the differential equation: y' = y + 2y⁵,

The function y = \((e - 4x - 2)^{-0.25}\),  is a solution to the given differential equation.

We have to verify that the given function y = \((e - 4x - 2)^{-0.25}\) is a solution to the given differential equation.

To do that we substitute the given function y into the differential equation and check whether the differential equation is true or not.

Let's substitute the given function y into the differential equation y' = y + 2y⁵.

y = \((e - 4x - 2)^{-0.25}\)

Differentiate the function y with respect to x:

y' =\(-0.25(e - 4x - 2)^{-1.25}\)

(-4)y'= \((e - 4x - 2)^{-1.25}\)

Now substitute the values of y and y' in the given differential equation:

y' = y + 2y⁵\((e - 4x - 2)^{-1.25\)

= \((e - 4x - 2)^{-0.25\) + \(2 (e - 4x - 2)^{(-0.25)\)(e - 4x - 2)⁵

Simplify this equation:

multiplying by \((e - 4x - 2)^{(1.25)}\) on both sides(e - 4x - 2) = (e - 4x - 2) + 2(1)

Hence, the given function y = \((e - 4x - 2)^{(0.25)}\) is a solution to the given differential equation y' = y + 2y⁵.

Therefore, it is verified.

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The answer will be B. The y-intercept of the graph is -6 while the slope is \(\frac{2}{3}\) as the line rises by 2 and run by 3

Answer: The person above his right good job

Step-by-step explanation: