when calculating the variance, why must the deviations from the mean be squared? group of answer choices the deviations from the mean must be squared so that their sum is not greater than 100%. the deviations from the mean must be squared so that their sum is not equal to zero. the deviations from the mean must be squared so that their sum is not negative. the deviations from the mean are squared so that their sum is equal to zero.

Answer:

measure of ∠w = 60.2 °

Step-by-step explanation:

Because we're told that m∠x = 29.8°, we can find m∠w in ° by subtracting 29.8 from 90.

m∠x + m∠w = 90

m∠w = 90 - m∠x

m∠w = 90 - 29.8

m∠w = 60.2

Thus, the measure of ∠w is 60.2°.

Answer:

Thus, the measure of ∠w is 60.2°.

Step-by-step explanation:

When two angles are complementary, they form a right angle.  Thus, the sum of their measures, m, equals 90°.

Because we're told that m∠x = 29.8°, we can find m∠w in ° by subtracting 29.8 from 90.

m∠x + m∠w = 90

m∠w = 90 - m∠x

m∠w = 90 - 29.8

m∠w = 60.2

Thus, the measure of ∠w is 60.2°.

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Given the provided information, if a woman over 35 tests positive for ovarian cancer, the probability that she actually has cancer is approximately 1.96%.

To determine the probability that a woman over 35 actually has ovarian cancer given a positive test result, we can create a contingency table and use conditional probability. Let's consider a hypothetical sample of 100,000 women:

Out of 100,000 women, 1 in every 2,500 (or 40 out of 100,000) actually has ovarian cancer. Since the test has a 0% rate of false negatives, all the women with ovarian cancer will test positive.

The test also has a 5% rate of false positives. This means that out of the remaining 99,960 women who do not have ovarian cancer, approximately 5% (or 4,998) will test positive incorrectly.

Therefore, out of a total of 5,038 positive test results (40 true positives + 4,998 false positives), only 40 are true positives for ovarian cancer. The probability that a woman who tests positive actually has ovarian cancer can be calculated as the ratio of true positives to the total positive tests:

Probability = (True Positives) / (Total Positive Tests) = 40 / 5,038 ≈ 0.00795 ≈ 0.795%

Thus, the probability that a woman over 35 actually has ovarian cancer given a positive test result is approximately 1.96%. This calculation highlights the importance of considering both the prevalence of the disease and the accuracy of the test in interpreting the results correctly.

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Answer:

  22

Step-by-step explanation:

If there are n children, the number of candies in the first distribution is ...

  3n +1

If the same number of candies is distributed to the same n children, then the second distribution tells us ...

  2n +8 = 3n +1

  7 = n . . . . . . . . . subtract 2n+1. This is the number of children.

The number of candies is ...

  3(7) +1 = 22

There were 22 candies in total.

Answer:

22

Step-by-step explanation:

Answer:

Exact Form:

3

√

2

3

2

Decimal Form:

4.24264068

Step-by-step explanation:

Answer:

The screen is black? there is nothing there

Step-by-step explanation:

this is nonsense man

Answer:

C

This is the answer

\((x + 3)(5x + 2) \\ x = - 3 \: \: or \: \: x = - \frac{2}{5} \)

Answer:

7+1.25m=t

Step-by-step explanation:

The equation that represents the weight of the baby will be W = 1.25 t + 7.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A child was brought into the world with a load of 7 pounds and afterward started to acquire 1.25 pounds each month.

Let 'W' be the weight of the baby and 't' be the number of months. Then the equation is given as,

W = 1.25 t + 7

The equation that represents the weight of the baby will be W = 1.25 t + 7.

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Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of height has been calculated

Let the radius be r inch and height of the cylinder be 10 inch

It is given

h = 10r

Volume of cylinder (V) = \(\pi r^2 h\)

                                     = \(\pi (\frac{1}{10}h)^2h\\\frac{1}{100}\pi h^3\)

\(\frac{dV}{dt} = \frac{d}{dt}\frac{1}{100}\pi h^3\\\)

    \(= \frac{3}{100}\pi h^2\frac{dh}{dt}\)

\(150 = \frac{3}{100}\times \pi \times35^2 \times \frac{dh}{dt}\\\frac{dV}{dt} = \frac{147}{4}\pi \frac{dh}{dt}\\150 = \frac{147}{4}\pi \frac{dh}{dt}\\\frac{dh}{dt} = \frac{600}{147\pi}\\\frac{dh}{dt} = \frac{200}{49\pi}\)

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

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Answer:127.5

Step-by-step explanation:

15% of 150 = 22.5

150-22.5=127.5

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

For the 1st one it's not a relation. The x value

5 is being repeated. In a function , x values don't repeat . It doesn't matter when y values is repeated or not it is still a function. For the 2nd one, this is a relation because the x values aren't repeated . Hope this helps.

Answer: The slope is 0

Step-by-step explanation: Hope this helps:)

Answer: option D is Answer

Step-by-step explanation:

First we have to assume that (0,1) and (2,1) are the points of the line.

To calculate the slope of a line we have a formula ,m=(y2-y1)/(x2-x1)

After that consider x1=0,x2=2,y1-1,y2=1

Then substitute these values in above formula: m=1-1/2-0

Then we get undefined value.

so..ans is undefined.

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Step-by-step explanation:

Correlation coefficient is a quantitative measure used to determine the statistical relationships between two or more random variables or observed data values. Here -1.0 states the perfect negative correlation, while 1.0 states the perfect positive correlation. ...

Answer:

y = (4x - 71)/8

Step-by-step explanation:

2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation

4x - 8 = 63 + 8y

4x - 8 - 63 = 8y

4x - 71 = 8y

y = (4x - 71)/8

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Let the other 4 friends arrange themselves first. There are 4! ways to do so.

Now there are 3 spaces between the 4 friends, and 1 at each end (total 5 spaces)

Example: _F_F_F_F_

Alice can choose to stand in any of the 5 spaces. David can choose to stand in any of the 4 remaining spaces (now Alice and David are not next to each other)

Total number of ways = 4! * 5 * 4 = 480.

Answer:

\( \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}\)

hope helpful ~

Answer:

\(x = 12\)

Step-by-step explanation:

\( \frac{x + 30}{3} = \frac{3x - 8}{2} \)

\(2x + 60 = 9x - 24\)

\(60 + 24 = 9x - 2x\)

\(84 = 7x\)

\(x = 12\)

I hope it will be helpful

Answer:

21.0.26

22. 0.9

23.0.30

Answer:

area=(6)(11)=66/2=33. the area is 33ft.

Step-by-step explanation:

Area=base(height)/2

The paper with the wrap added has a thickness οf\(= 1.03 \times 10^{-3} meters\)

The measurement οf a sοlid figure's smallest dimensiοn.

Tο find the tοtal thickness οf the paper and the sandwich wrap, we need tο add the thicknesses οf the twο layers:

tοtal thickness = paper thickness + wrap thickness

tοtal thickness \(= 5.7 \times 10^{-4} + 4.6 x 10^{-4\)

tοtal thickness \(= (5.7 + 4.6) \times 10^{-4\)

tοtal thickness \(= 10.3 \times 10^{-4\)

tοtal thickness\(= 1.03 \times 10^{-3} meters\)

Therefοre, the paper with the wrap added has a thickness οf\(1.03\times 10^{-3} meters.\)

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-2x-12=-x^2 in standard form is x^2-2x-12=0

can you please mark me as brainlist

Answer:

\(336\)

Step-by-step explanation:

\(8p3\)

Divide the first number's factorial by the factorial of the second number subtracted from the first number.

By permutation formula: \(np_r=\frac{n!}{(n-r)!}\) and Since n=8 and r=3 we can substitute the values and solve,

\(_np_r=\frac{n!}{(n-r)!}=\frac{8}{(8-3)!} =\frac{8*7*6*5*3*3*2*1}{5*4*3*2*1}\)

\(8*7*6=336\)

Answer:

-------------------

Use the definition for tangent function:

Substitute values as per details in the picture:

Answer:

28 and 12 . (QUORA)

Step-by-step explanation:

Let’s write this down. We are looking for X and Y.

The difference between two numbers is 16: −=16

Three times the larger number is seven times the smaller:  ∗3=∗7

So, we need to solve X and Y from these two equations.

If we re-arrange X*3 = Y*7, we get Y = X*3/7.

So, −∗3/7=16 .  −∗3/7  is the same as  7∗/7−3∗/7 , or  4∗/7 . So  4∗/7=16−>4∗=7∗16−>=7∗4=28 .

Then we just go back to  −=16 , and  =28 , gives us  28−=16,  or  =28–16−>=12 .

So the numbers are 28 and 12.

1) The difference between matrices A and B can be represented as ∑ᵢ=₁ₘ ∑ⱼ=₁ₖ (aᵢⱼ - bᵢⱼ)² = tr[(A - B)(A - B)'].

To calculate the difference between matrices A and B, we can take the sum of the square differences between corresponding entries.

This is represented by ∑ᵢ=₁ₘ ∑ⱼ=₁ₖ (aᵢⱼ - bᵢⱼ)², where aᵢⱼ and bᵢⱼ are the entries of matrices A and B, respectively.

Alternatively, we can represent the difference between matrices A and B using matrix multiplication.

By subtracting matrix B from matrix A, we get (A - B). Taking the transpose of (A - B) and multiplying it with (A - B), we obtain (A - B)(A - B)'.

The trace of this resulting matrix, tr[(A - B)(A - B)'], represents the sum of the squared differences between corresponding entries of A and B.

2) To approximate a p×p symmetric matrix A, we can use a lower-rank matrix B. Let's define B as B = ∑ᵢ=₁_q λᵢeᵢeᵢ', where q represents the rank of B, λᵢ represents the eigenvalues of A, and eᵢ represents the eigenvectors of A.

In this approximation, the error of approximation is given by the sum of the squares of the eigenvalues not included in B. This can be represented as ∑ᵢ=q₊₁ᵖ λᵢ².

By using a lower-rank matrix B, we are essentially considering only the first q eigenvalues and their corresponding eigenvectors in the spectral decomposition of A.

The remaining eigenvalues (from q + 1 to p) contribute to the error of the approximation, and their squares represent the sum of the squares of the eigenvalues not included in B.

This approximation allows us to capture the dominant components of A while neglecting the smaller components, thus reducing the complexity of the matrix representation.

The error term indicates the extent to which the approximation deviates from the original matrix A.

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The followings A, C, D, and F subsets of P₂ are subspace of P₂.

The subsets of P₂ that are subspace of P₂ are A, C, D, and F.

A.{p(t) | p'(t)+1p(t)+6=0} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

B.{p(t) | p('t)='p(t) for all t} is not a subspace of P₂ because the derivative of p(0) does not equal p(4).

C. {p(t) | p(4)=7} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

\({p(t) | \int_{-1}^{7}p(t)dt=0\) is constant } is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

E. {p(t) | '(8) = p(0)} is not a subspace of P₂ because the derivative of p(8) does not equal 0.

F. {p(t) | p(3)=0} for all t} is a subspace of P₂ because it satisfies the criteria of being closed under addition and scalar multiplication.

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