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to solve with explanation of how to?
Nationally, registered nurses earned an average annual salary of $69,110. For that same year, a survey was conducted of 81 California registered nurses to determine if the annual salary is different t

The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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The labor fee is $16.75, each quart of oil costs $1.75.

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil,

then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50.

Thus,

5x + y = 25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $29.00.

Thus,

7x + y = 29.00.

3. Subtract from the second equation the first one, then

2x = 29 .00 - 25.50

2x = 3.5

x = 3.5/2

x = 1.75

Substitute it into the first equation:

5x + y = 25.50.

8.75 + y = 25.50.

y = 16.75

Thus, The labor fee is $16.65, each quart of oil costs $1.75

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well, let's take a look at the table

is g(x) increasing from -2 to -1? hmmm from when x = -2 g(x) = 2, then when x = -1, g(x) = -3, hold the mayo!! it went from 2 to -3, that's just going down, so, nope is not.

is itdecreasing from -1 to 0?  hmmm x = -1, g(x) = -3, as x = 0, g(x) = 2, wait a second!!! it went from -3 to 2, it really went up, so nope, is not decreasing on that interval.

is it increasing from 0 to 1?  let's see, as x = 0, g(x) = 2, as x = 1, g(x) = 17, woahhh!!, it went from 2 and rocketted to 17, yeap, it is increasing as x = 0 to x = 1.

Answer:

B

Step-by-step explanation:

Answer:

$331.70

Step-by-step explanation:

340-30=310

7% of 310= 21.70

310+21.70=331.70

Answer:

24 cm

Step-by-step explanation:

Since, both the Pentagons are similar. So, their corresponding sides would be in proportion.

Therefore,

\( \frac{4}{4x} = \frac{(x + 2)}{48} \\ \\ \frac{1}{x} = \frac{(x + 2)}{48} \\ \\ x(x + 2) = 48 \\ \\ {x}^{2} + 2x = 48 \\ \\ {x}^{2} + 2x - 48 = 0 \\ \\ {x}^{2} + 8x - 6x - 48 = 0 \\ \\ x(x + 8) - 6(x + 8) = 0 \\ \\ (x + 8)(x - 6) = 0 \\ \\ x + 8 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 8 \: \: or \: \: x = 6 \\ \\ \because \: x \: cannot \: be \: - ve \\ \implies \: x = 6\)

Width of badge = 4x = 4*6 = 24 cm

Answer

is their multiple choice

Step-by-step explanation:

The equation of the red graph is,

⇒ y = x² + 4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The equation of blue graph is,

⇒ y = x²

Since, We have;

The red graph is 4 unit up from the blue graph.

Hence, The equation of the red graph is,

⇒ y - 4 = x²

⇒ y = x² + 4

Therefore, The equation of the red graph is,

⇒ y = x² + 4

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Answer:

-9

Step-by-step explanation:

Plug 5 into the equation in place of the x:

- x - 4 becomes -(5) - 4.

-5 - 4 = -9

:)

Answer: 1.728330724e+25 thats what it said when I calcuated it.

Answer:

3

Step-by-step explanation:

x⁹/x⁶=27

x⁹-⁶=27

x³=27

x=3

Answer:

\(\boxed{x = -31}\)

\(\boxed{y = -62}\)

\(\boxed{z = -6}}\)

Step-by-step explanation:

There are a couple of properties of parallelograms that can help solve for the unknowns

Using property 1 that opposite angles are equal we have:
-4x - 5 = 119

⇒  -4x = 119 + 5

⇒ -4x = 124

⇒ x = 124/-4

⇒ x = -31

Using property 2 that consecutive angles are supplementary on angles
(-y - 1)° and 119°:

(- y - 1) + 119 = 180

⇒ - y - 1 + 119 = 180

⇒ - y + 118 = 180

⇒ - y = 180 - 118

⇒ - y = 62

⇒ y = -62

Using property 2 for angles (-10z - 1)° and 119°
(-10z + 1) + 119 = 180

- 10z + 1 + 119 = 180

⇒ - 10z + 120 = 180

⇒ -10z = 180 - 120

⇒ -10z = 60

⇒ z = 60/-10

⇒ z = -6

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Check the picture below.

so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.

\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)

Answer:

1) OTT

2) PGF

3) RBT

4) YGT

5) 24 different ways.. I just counted the total number of combinations.

6) 1/24 since there are 24 different outcomes and PBF is just one.

Answer:

C is corrcet

Step-by-step explanation:

because the linye should be on any negtive number for x and y should be on 3

Answer:

Yes the answer is graph c

Step-by-step explanation:

Have a great day.

67 - 64s

 ————————

    8  

i think this is hte answer

hope it helped if it didnt then hope you get the correct answer  

The domain of the Riemann zeta function, denoted by ζ(x), is the set of real numbers x for which the series ∑n=1 ∞ n^(-x) converges. The domain of the function can be expressed using interval notation as (-∞, 1).

To understand the domain of the Riemann zeta function, we need to consider the convergence of the series ∑n=1 ∞ n^(-x). The series converges when the real part of x is greater than 1. Therefore, the right half-plane Re(x) > 1 represents a region where the series converges.

On the other hand, when the real part of x is less than or equal to 1, the series diverges. This means that the left half-plane Re(x) ≤ 1 is excluded from the domain of the Riemann zeta function.

Combining these conditions, we find that the domain of the Riemann zeta function is (-∞, 1) in interval notation, indicating that the function is defined for all real numbers less than 1.

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The results also suggest that television advertising may be slightly more effective than newspaper advertising in generating revenue.

(a)The estimated regression equation with the amount of television advertising as the independent variable is as follows: ŷ = 20.2650 + 22.1250x1(b)The proportion of variation in the sample values of weekly gross revenue that the model in part

(a) explains is given by the coefficient of determination. It is equal to the square of the correlation coefficient, r, and is calculated as follows: r² = 0.5145Thus, the model explains 51.45% of the variation in the sample values of weekly gross revenue. When converted to a percentage, the answer is 51%. Therefore, the answer is 51%.

(c)The estimated regression equation with both television advertising and newspaper advertising as the independent variables is given by:ŷ = -0.2154 + 19.4649x1 + 30.2941x2We will test whether the regression parameter β0 is equal to zero at a 0.05 level of significance using the t-test. The null and alternative hypotheses are as follows:H0: β0 = 0 (the y-intercept is zero)Ha: β0 ≠ 0We use a t-test to calculate the p-value. t = -0.2286 and the p-value is 0.8292. Since the p-value is greater than 0.05, we fail to reject H0. Hence, we cannot conclude that the y-intercept is not equal to zero.

The next step is to test whether the regression parameter β1 is equal to zero at a 0.05 level of significance. The null and alternative hypotheses are as follows:H0: β1 = 0 (there is no relationship between the amount spent on television advertising and weekly gross revenue)Ha: β1 ≠ 0We will use a t-test to calculate the p-value. t = 2.5494 and the p-value is 0.0382.

Since the p-value is less than 0.05, we reject H0. Hence, we can conclude that there is a relationship between the amount spent on television advertising and weekly gross revenue. We will also test whether the regression parameter β2 is equal to zero at a 0.05 level of significance. The null and alternative hypotheses are as follows:H0: β2 = 0 (there is no relationship between the amount spent on newspaper advertising and weekly gross revenue)Ha: β2 ≠ 0

We will use a t-test to calculate the p-value. t = 3.2487 and the p-value is 0.0128. Since the p-value is less than 0.05, we reject H0. Hence, we can conclude that there is a relationship between the amount spent on newspaper advertising and weekly gross revenue.

(e)The next step should be to use the model with both independent variables to make predictions and test the model's accuracy.

(f)The managerial implications of these results are that management can feel confident that increased spending on both television and newspaper advertising coincides with increased weekly gross revenue. The results also suggest that television advertising may be slightly more effective than newspaper advertising in generating revenue.

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Sam lives 162 miles away from the mountains.

Let's assume that the distance between Sam’s home and the mountains be x miles. Then, let us use the formula for distance which is:Distance = Speed × TimeFor Sam’s journey to the mountain, we know that he took 7 hours, therefore his speed was:S = D / T = x / 7For his return journey, Sam took 5 hours and he traveled 18 mph faster than he did on the way there; therefore, his speed is:S = (x / 5) + 18

Now we know that the distance he traveled to the mountains and back was the same. Therefore:Distance to the mountains = Distance from the mountainsx = (x / 7) × 2 + [(x / 5) + 18] × 2Then we simplify to get rid of the denominators:10x = 2x + 28x + 180Now we solve for x:8x = 180x = 22.5Therefore the distance between Sam's home and the mountains is 22.5 × 7 = 157.5 miles. However, that is only the distance to the mountain. We need to find the total distance of the round trip which is:Total distance = Distance to the mountains + Distance from the mountainsTotal distance = 157.5 + 157.5Total distance = 315 milesTherefore Sam lives 315 / 2 = 157.5 miles away from the mountains.

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Answer:

Hi how are you doing today Jasmine

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.

A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.

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The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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a. The 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b. The 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog

a) To construct a 90% confidence interval for the proportion of all American households who have at least one dog, we can use the following formula:

CI = p ± zsqrt((p(1-p))/n)

where:

CI is the confidence interval

p is the sample proportion (67% or 0.67 in decimal form)

z is the z-score corresponding to the level of confidence (90% or 1.645 for a one-tailed test)

n is the sample size (750)

Plugging in the values, we get:

CI = 0.67 ± 1.645sqrt((0.67(1-0.67))/750)

CI = 0.67 ± 0.034

Therefore, the 90% confidence interval for the proportion of all American households who have at least one dog is (0.636, 0.704). This means we can be 90% confident that the true proportion of all American households who have at least one dog lies within this range.

b) In this context, 90% confidence means that if we were to repeat this poll many times with different samples of American households, we would expect 90% of the resulting confidence intervals to contain the true proportion of all American households who have at least one dog.

In other words, we can be reasonably sure that our sample proportion of 67% is a good estimate of the true proportion, with a margin of error of about 3.4 percentage points, based on the sample size and the level of confidence we have chosen.

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Answer:

  (d)  60; 210°

Step-by-step explanation:

The factor -3 is equivalent to 3∠180°. The given product is then ...

  u = 20∠30°

  -3u = (3∠180°)(20∠30°) = (3·20)∠(180°+30°) = 60∠210°