If x2 + y2=6 , xy = 5 , then (X + y)2?



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Population variances are equal, sample sizes are equal, and populations are normally distributed.

The Multiple Select Question "Analysis of Variance assumes that" are:

population variances are equal

sample sizes are equal

populations are normally distributed

Explanation:

Analysis of Variance (ANOVA) is a statistical method used to test the equality of means between two or more groups.

To perform ANOVA, certain assumptions need to be met:

The populations from which the samples are drawn have equal variances (homoscedasticity)

The sample sizes are equal (or approximately equal) across all groups

The populations are normally distributed

The observations within each group are independent and identically distributed (IID)

The response variable in ANOVA is continuous, not categorical.

ANOVA is used to compare means between two or more groups, so the response variable needs to be a continuous variable that can be measured and compared across the groups.

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Applying the Pythagoras Theorem, the length of RS = 8 units.

According to the figure,

Diameter = 16 +4 = 20 units

So, the Radius = Diameter/2 = 20/2 = 10 units

Now,

Let the center be M, then

MT = 10 - 4 = 6 units

RT = x units

The radius is perpendicular to the chord,

So, MTR will be a right-angled triangle,

We will apply the Pythagoras theorem,

So, we have :

\(RT^{2} +TM^{2} =RM^{2}\)

Here, RT = x units

TM = 6 units and RM = radius = 10 units

Putting these values in the Pythagoras theorem,

\(x^{2} +6^{2} =10^{2}\\x^{2} + 36 = 100 \\x^{2} = 100 - 36 = 64\\x^{2} = 64 \\x = 8\)

Thus, the length of RS = 8 units.

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The total electric force on the 7.00−μC charge is 0.872 N at an angle of 330°.

The force exerted on the 7.00−μC charge by the 2.00−μC charge is

F₁​ ​= \(k_{e}\)q₁q₂​​/r₂ r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(2.00×10^−6C) ×(cos60°i^+sin60°j^​)]/ (0.500m)²

F₁ ​= (0.252i^+0.436j^​)N

Similarly, the force on the 7.00μC charge by the −4.00−μC charge is

F₂​ ​= \(k_{e}\)q₁​q₃/​r² ​​r^

= [(8.99×10⁹N.m²/C²)(7.00×10^−6C)(−4.00×10^−6C)​×(cos60°i^−sin60°j^​)]/(0.500m)²

F₂​ ​=(0.503i^−0.872j^​)N

Hence, the total force on the charge 7.00−μC  is

F = F₁​​+F₂​

​=(0.755i^−0.436j^​)N

We can also note the total force as:

F = (0.755N)i^−(0.436N)j^​ = 0.872N

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--This question is incomplete; the complete question is

"Three charged particles are located at the corners of an equilateral triangle, as shown in Figure. Calculate the total electric force on the 7.00−μC charge."--

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

Could I get brainliest please?

Answer:

-36x+55

Step-by-step explanation:

3(16−4x(3))+7

=(3)(16)+(3)(−12x)+7

=48+−36x+7

next you have to combine like terms

=48+−36x+7

=(−36x)+(48+7)

=−36x+55

To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.

A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.

Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.

Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.

Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.

Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.

By following these steps, you have successfully created a square with 50px sides.

In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.

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(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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Answer:

Complex and imaginary number

Step-by-step explanation:

First, let's write the number\(-16.2i\) in the form of \(a+bi\).

\(0+ (-17)i\)

Since \(-16.2i\) can be written in the form of \(a + bi\), where \(a\) and \(b\) are real numbers, it is a complex number.

Also, since \(a=0\), it is also an imaginary number.

\(-16.2i\) is complex and imaginary.

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

Step-by-step explanation:

Answer:

find my dad

Step-by-step explanation:

Answer:

x int (-3), y it. (5)

Step-by-step explanation:

x+3=0, just subtract 3 and x = 3

Number to the right of parenthesis is always y int. for this sort of problem

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

A. \(\bold{\boxed{\green{2^{12}}}}\)

Answer:

Solution given:

\(2^6 x (2^2)^3\)

we know that

product of power and power is added and power to power is multiplied for same base only.

I.E.

product of same base but different power:\(a^b+a^c=a^(b+c)\)

power to power :\( (a^b)^c=a^(b*c)\)

By using above property

\(2^6+2^{2*3}\)

\( 2^6+2^6\)

\(2^{[6+6]}=2^{12}\)

Answer:

The two friends will have same account balance in 10 weeks.

Step-by-step explanation:

Given that:

Amount deposited by Reid = $100

Amount deposited each week = $40

Let,

x be the number of weeks.

R(x) = 40x + 100

Amount deposited by Akira each week = $50

A(x) = 50x

For the two friends to have same account balance,

A(x) = R(x)

50x=40x+100

50x-40x=100

10x=100

Dividing both sides by 10

\(\frac{10x}{10}=\frac{100}{10}\\x=10\)

Hence,

The two friends will have same account balance in 10 weeks.

Answer:

-5/3

Step-by-step explanation:

The slope of a line is found by

m = (y2-y1)/(x2-x1)

   = (13- -12)/(-3 -12)

   = ( 13+12) / (-15)

     25/-15

    -5/3

The right answer is -5/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

Vertical sides sum to:

The perimeter is:

Scientists caught 30 monkeys in a rainforest, tagged them and released them. Weeks later, 20 monkeys were caught in the same location and 4 of them had tags. Considering that the population of monkeys has not changed, we can estimate the total number of monkeys in the rainforest.

Using the capture-recapture method, we can estimate the population as follows:

- Let N be the total number of monkeys in the rainforest.

- The proportion of tagged monkeys in the first capture is: 30/N.

- The proportion of tagged monkeys in the second capture is: 4/20 or 0.2.

- Since the same proportion of tagged monkeys is captured in both instances, we can set up the following proportion:

30/N = 4/20

- Cross-multiplying, we get:

4N = 30 x 20

- Solving for N, we get:

N = 150

Therefore, we can estimate that there are approximately 150 monkeys in the rainforest. Therefore, the answer is option C, 150.

Answer: The slope is 2 -Please mark brainliest

1. Find the X and Y values of each point

X1: 1

X2: -1

Y1: 3

Y2: -1

2. Subtract X1 from X2 and Y1 from Y2

Y: -1-3=-4

X: -1-1=-2

3. Divide the X value by the Y value

-4/-2=2

The slope of the line shown on the coordinate plane is 2.

Answer:

2

Step-by-step explanation:

(X1,Y1)=(1,3)

(X2,y2)=(-1,-1)

slope(m)=y2-y1/x2-x1

= -1-3/-1-1

= -4/-2

= 2

Answer:

I believe the answer is - 2/5 (negative two-fifths).

Step-by-step explanation:

First, you see if the answer is positive or negative:

Since the line is going up from right to left (the bottom arrow is on the right, top arrow is on the left), this means the slope will be negative.  A line that looks like this is always negative.

Now we calculate the slope:

The formula to find slope is rise/run (rise over run).  Since this is the formula, you need to find the rise first.  Start at the point on the 4th Quadrant.  Notice the dark blue line is going straight through the point.  Then notice the part where the line goes through in the top part of the arrow (the 2nd Quadrant).  Count the units up (rise) on the line in the 4th Quadrant until they vertically are congruent, or count 4 units up.  Then count to the left (run) until you meet the other dark blue line in the 2nd Quartile, or count 10 units to the left.  Now you make the fraction 4/10, but since this is a negative slope, the answer is     - 4/10.

But don't forget!  You always need to remember (if necessary) to simplify!!

- 4/10 = - 2/5

I hope this wasn't too confusing and helped you out :)

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

40 is the answer I also got 40

Answer:

3,000,000+700,000+4,000

Answer:

3,000,000+700,000+4,000

Step-by-step explanation:

you just separate the parts

The zeros of p(x) are x = 2 and x = -3/2. We can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct as the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x² and the product of the zeroes is equal to the constant term divided by the coefficient of x².

Given that, p(x) = 2x² - x - 6. To find the zeros of p(x), we need to set p(x) = 0 and solve for x as follows; 2x² - x - 6 = 0. Applying the quadratic formula we get,\($x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ where a = 2, b = -1 and c = -6$x = \frac{-(-1) \pm \sqrt{(-1)^2-4(2)(-6)}}{2(2)} = \frac{1 \pm \sqrt{49}}{4}$x = $\frac{1+7}{4} = 2$ or x = $\frac{1-7}{4} = -\frac{3}{2}$.\) Verifying the relationship of zeroes with these coefficients.

We know that the sum and product of the zeroes of the quadratic function are related to the coefficients of the quadratic function as follows; For the quadratic function ax² + bx + c = 0, the sum of the zeroes (x1 and x2) is given by;x1 + x2 = - b/a. And the product of the zeroes is given by x1x2 = c/a.

Therefore, for the quadratic function 2x² - x - 6, the sum of the zeroes is given by; x1 + x2 = - (-1)/2 = 1/2. And the product of the zeroes is given by x1x2 = (-6)/2 = -3. From the above, we can verify that the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x². We also observe that the product of the zeroes is equal to the constant term divided by the coefficient of x². Therefore, we can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct.

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Answer:

24 519 - Twenty - four thousand, five hundred and nineteen.

Answer: The word value of 24,519 is twenty thousand five hundred ninteen.

Step-by-step explanation: If there are 5 digits, then it means it is at least 20 thousand. And to find the word form, just describe each digit in words, which is twenty thousand five hundred ninteen.