Estimate the quotient. Do not give exact answer.

53 divided by 3
PLEASE HELP ME DO THIS IM STRUGGLING BECAUSE MY TEACHER DOESN'T EVEN KNOW THE RIGHT ANSWER

X - Y and X + Y are uncorrelated. To show that X - Y and X + Y are uncorrelated, we need to show that their covariance is zero.

The covariance between X - Y and X + Y is given by:

\(Cov(X - Y, X + Y) = E[(X - Y)(X + Y)] - E[X - Y]E[X + Y]\)

Expanding the first term:

Cov(X - Y, X + Y) = E[X^2 - Y^2] - E[X - Y]E[X + Y]

Using the fact that X and Y have the same variance, we have:

\(E[X^2 - Y^2] = E[(X - Y)(X + Y)] = E[X^2] - E[Y^2]\)

And since X and Y have the same variance\(, E[X^2] = E[Y^2]\), so we can simplify:

\(E[X^2 - Y^2] = 0\)
Next, we can expand the second term:

E[X - Y]E[X + Y] = (E[X] - E[Y])(E[X] + E[Y])

Since X and Y have the same variance, we have E[X] = E[Y], so:

E[X - Y]E[X + Y] = (E[X] - E[X])(E[X] + E[X]) = 0

Putting it all together:

Cov(X - Y, X + Y) = 0 - 0 = 0

Therefore, X - Y and X + Y are uncorrelated.

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9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.

In terms of baths per minute, the relationships are ...

  1/c + 1/h = 1/3

  1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes

Subtracting the first equation from twice the second, we get ...

  2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)

  1/h = 2/4.8 -1/3 = 1/12

  h = 12

It takes the hot tap 12 minutes to fill the tub alone.

Answer:

14b +64

Step-by-step explanation:

as listed above

Answer:

270\(\sqrt{3}\) cm³

Step-by-step explanation:

A regular hexagon can be cut into 6 equilateral triangles.

The area (A) of an equilateral triangle can be calculated as

A = \(\frac{s^2\sqrt{3} }{4}\) ← where s is the side length, here s = 6

A = \(\frac{6^2\sqrt{3} }{4}\) = 9\(\sqrt{3}\) cm² ← multiply by 6

area of base = 6 × 9\(\sqrt{3}\) = 54\(\sqrt{3}\) cm²

The volume (V) of the prism is calculated as

V = area of base × height = 54\(\sqrt{3}\) × 5 = 270\(\sqrt{3}\) cm³

Answer: 15

Step-by-step explanation:

40- 24 = 16

16 dollars worth of candy

1.25 dollars per candy x 12 candy bars = $15 dollars of candy worth

15 is the closest answer because if u multiply 13 with 1.25 it will be 16.25 which is over the price

Answer:

Step-by-step explanation:

You know he has $40, and you know the game is $24.

Subtract $24 from 40, and you end up with $16.

Find out how many times 1.25 goes into 16, (12) and you know that he can buy 12 candy bars.

Answer:

24 millilitres acid

28 millilitres base

Step-by-step explanation:

First, we need to know how many parts there are in total. We do this by adding the number of parts of acid (6) and base (7). 6+7=13

Then, divide 52 by 13 to find out how many millilitres makes up a part.

52/13=4

Then you multiply this by the number of parts for each substance.

4x6=24 millilitres acid

4x7=28 millitres base

Answer:

55

Step-by-step explanation:

if it cost 2,145 for the whole thing and 39 for each person 2,145 divide by 39= 55

Answer:

the second one, 280/32

Step-by-step explanation:

i did the calculating

sorry if wrong

Answer:

The answer is D. Multiply 3 1/8 and 2 3/4 in order to get something close to that. Since there are no answers involving the max amount of space, this is the most likely answer.

Answer:

-1 + 6i

Step-by-step explanation:

Subtract/add the imaginary parts and then add real parts.

Open the parenthesis by multiplying the each term of 4 - 2i by (-1)

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

                       = 3 - 4 + 4i + 2i

                       = -1 + 6i

Answer: 0.69

Step-by-step explanation:

0.44 + 0.25 = 0.69

The correct answer is \(\boxed{0.69}\)

For this question we will be adding the numbers given.

Given:

\(0.44\\0.25\)

Therefore, the equation is:

\(\boxed{0.44 +0.25}\)

Therefore, the correct answer is \(\boxed{0.69}\)

Answer:

what do I work out there is so much

The term "repeated measures" refers to one sample getting data taken from two times. Therefore, the correct option is option 3.

Repeated measures refer to a type of experiment design in which the same subjects are used in all treatments. In this design, each subject is exposed to more than one treatment. Repeated measures is also referred to as within-subjects or intra-subjects design.

The repeated measures design is a powerful approach since it provides for higher accuracy by using fewer participants than would be needed in a between-subjects design. It also has the advantage of being more statistically efficient since it uses each subject as his/her control.

Therefore, in a repeated measures design, one sample is used three times, and the sample gets data taken from two times. This means that the same participants are measured on the same variable multiple times, allowing researchers to analyze the effects of an intervention or change over time. Hence, option 3 is the correct answer.

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Answer:

The answer is D.

Step-by-step explanation:

because if you do the methoes method you know that it rules out 1 and 2 after you do that its just between C and D, for the caunususicon it has to be D, that is why i think its D. hope this helps

Answer:

The First One and the last one

Answer:

B. \((3x-4)(x+1)\)

Step-by-step explanation:

Answer:

Area = 4600m

explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step

Answer:

244280

Step-by-step explanation:

you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280

Answer:

100 + 50 + 6

Step-by-step explanation:

When I was 30, I was bit by a child and bit it back

Answer:

156-49

Step-by-step explanation:

Answer: 3/8

Step-by-step explanation:

(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true. Then is true for all natural numbers.

There is a soccer league with k participating teams, where k is a positive even integer.

suppose that the organizer of the league decides that there will be a total of k 2matches this season, where no pair of teams plays more than once against each other

It is given that there are  teams, the number of matches that can be played is K/2 and no team plays another twice.

The objective is to prove that if every team plays at least one match, then no team plays two or more games.

When  k is an even number, then k = 2n, where n ∈ N

There are 2n teams.

For n = 1, there are 2 teams and only 1 game can be played between Team 1 and Team 2.

Consider the case when  is arbitrary.

Let the first match be between Team 1 and Team 2n, the second match between Team 2 and Team 2n - 1 and so on p match be between Team  p and n + 1

Then the final match is between Team n and Team 2n + 1, which is Team n + 1

Hence, all the teams play and the number of games is n or

Now we prove this for k = 2n + 2

There are  matches played between the first teams. For the additional two teams, one additional match is played.

Hence, the number of games n + 1

Therefore, when each team plays at most one game, the number of games is

By the principle of Mathematical Induction, to prove a statement p(n) , the following steps must be followed.

(i) The statement  p(1) must be true.

(ii) If  p(r) is true then p(r+1) is also be true.

Then

is true for all natural numbers.

The Principle of Mathematical Induction is used to proved the statement

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In a simple regression model with a dummy variable predictor x, the coefficient b1 represents a) the differential effect on the outcome of having the dummy variable equal to 1, rather than 0.

Option b, the improvement in R-squared that we get from including x in the model, is not an accurate interpretation of b1. R-squared represents the proportion of variance in the outcome variable that is explained by the model, but it does not directly relate to the coefficient of a specific predictor.

Options c and d refer to the predicted values of the outcome variable when the dummy variable is either 1 or 0, but these values are not equivalent to b1. The predicted value of the outcome variable depends on the intercept term b0 and any other predictor variables in the model, as well as the coefficient b1.

In a simple regression model with a dummy variable predictor x, the coefficient b1 represents Option a, the differential effect on the outcome of having the dummy variable equal to 1, rather than 0. This means that b1 quantifies the change in the outcome variable when the dummy variable changes from 0 to 1, holding all other variables constant. This interpretation assumes that the dummy variable is coded in a meaningful way, such that 0 and 1 represent two distinct and relevant categories.

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Answer:

Step-by-step explanation:

A 45-45-90 triangle, also known as an isosceles right triangle, is a special right triangle where two of its three sides are congruent, and the third side is the hypotenuse. In other words, the triangle has two 45-degree angles and one 90-degree angle.

The ratio of the sides of a 45-45-90 triangle is always 1:1:√2. That is, the length of each leg (the two congruent sides) is equal to x, and the length of the hypotenuse (the third side) is equal to x√2, where x is any positive number.

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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Answer:

200 students vote in the election

Step-by-step explanation:

We know

120 votes = 60%

1% = 2 votes

To find how many students vote in the election, we take

2 x 100 = 200 votes

So, 200 students vote in the election

Answer:

141 minus 3 equals 123

Step-by-step explanation:

The scale factor from figure A to figure B is calculated as: 1/3.

The scale factor can be described as the size by which a figure is either enlarged or reduced. When enlarged by a scale factor, the new figure will be bigger than the original figure, while the new figure will be smaller than the original figure if it is a reduction.

Formula to find the scale factor is expressed as, the dimension of the new figure over the dimension of the original figure.

In this problem given, figure B is the new figure, while figure A is the original figure.

Use corresponding dimensions of both figures to find the scale factor

Therefore,

Dimension of the new figure = 3

Dimension of the original figure = 9

Scale factor = 3/9 = 1/3.

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The value x in the equation h(x) = 4x-4 is, x =1

Polynomial functions are functions of a single independent variable.

To solve for x

Since h(x) =0

substitute h(x) into equation  

h(x) = 4x - 4

0=4x - 4

Add 4 to both sides

4x = 4

Divide both side by 4

4x/4 = 4/4

x = 1

therefore, the value of X= 1

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It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

It is unlikely that any individual in Dr. Vickers' sample (or anyone at all) would have had the exact average number of feet, as the average is typically calculated as a mathematical mean that may or may not correspond to an actual measurement.

For example, if the average (mean) number of feet in a sample of 10 people is calculated to be 6 feet, it is highly unlikely that any individual in the sample actually has a height of exactly 6 feet. Rather, the average is a statistical summary of the data that provides insight into the central tendency of the sample as a whole.

It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

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35 degrees Celsius is equal to 95 degrees Fahrenheit.

What is the formula for Celsius to Fahrenheit?

Without a calculator, how do you convert from Celsius to Fahrenheit?

F = 9 / 5 * 35 + 32

F = 63 + 32

F = 95

35 degrees Celsius is equal to 95 degrees Fahrenheit.

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