Relational models view data as part of a table or collection of tables in which all key values must be identified. a. True b. False.

Answer:

Step-by-step explanation:

To find the slope of a line when only given two points on that line, divide the difference in the y points by the difference in the x points.

slope = (-5 - 7)/(-3 - 2) = -12/-5 = 12/5

slope = (7 - -5)/(2 - -3) = 12/

The value of the required mean of the sampling distribution of sample means is approx. 21 ounces when this process is in control.

Sample mean: The arithmetic mean of the values of the variables in the sample. If the samples are drawn from probability distributions with a common expected value, the sample mean is an estimate of that expected value.

Sample means for all days using formula,

Monday = (23+22+23+24)/4 = 23

Tuesday = (23+21+19+21)/4 = 21

Wednesday = (20+19+20+21)/4 = 20

Thursday = (18+19+20+19)/4 = 19

Friday = (18+20+22+20)/4 = 20

We have to calculate the mean of sampling distribution of sample means.

Mean of the sampling distribution of sample means = Sum of sample means of all days / Number of days

= (23+21+20+19+20)/5

= 20.6 = 21 ounces

Hence, the required mean is approx. 21 ounces.

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Answer:

We don't know

Step-by-step explanation:

enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.

Hope this helps! Have a great day :)

0.76282051282 in decimal form.

38141025641

___________

50000000000

Above it it in fraction from

Answer:

95.75

Step-by-step explanation:

39.05 + 56.7 = 95.75

The set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}}.

Here is the step-by-step explanation:

1. Identify the set x and the condition for the set {a: a ∈ P(x) and |a| = 2}.
2. Find all the subsets of x with exactly 2 elements.
3. Write the set {a: a ∈ P(x) and |a| = 2} as the set of all the subsets of x with exactly 2 elements.
The set {a: a ∈ P(x) and |a| = 2} is the set of all subsets of x that have exactly 2 elements.

In this case, the set x = {a, b, c, d}, so the subsets of x with exactly 2 elements are

{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, and {c, d}.

Therefore, the set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}}.

In conclusion, the set {a: a ∈ P(x) and |a| = 2} is equal to {{a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}} when x = {a, b, c, d}.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

25

Step-by-step explanation:

sin © =36/(35+x)=21/35

36/(35+x)=21/35

x=(36*35/21)-35

x=25

Step-by-step explanation:

SOLUTION::

please watch the image for explanation

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer: So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

Step-by-step explanation:

The equation is 150x+100y=850 where x and y are any whole number of items that she was able to purchase with $850

So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

These are the purchases where x is pens and y is pencils

The  height of the pyramid is 6cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Six square-based pyramids fit exactly onto the six faces of a cube of side 4 cm.

The volume of the object formed is 256 cm³.

We need to find the  height of each of the pyramids.​

The total volume can be calculated as

Total volume= cube volume+6 one pyramid volume

cube volume=4³=64

pyramid volume=1/3.4²h=16/3h

64+6.16h/3=256

64+32h=256

Subtract 64 on both sides

32h=256-64

32h=192

Divide both sides by 32

h=6

Hence, the  height of the pyramid is 6cm

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Answer:

The electricity is $500 and the rent is $650.

Step-by-step explanation: I think you just subtract 650 from 1150.

Answer:

Exponent

Step-by-step explanation:

^ means raised to the power of

The number being raised is known as the exponent

In this case it's the exponent is 4

Answer:

Step-by-step explanation:

First you must know that the sum of angle in a triangle is 180degrees

In triangle JKL, <J+<K+<L = 180 ..... 1

If m<J is 7 less than m<L , then;

m<J = m<L -7 ..... 2

If m<K is 21 less than twice m<L then;

m<K = 2m<L - 21 ...... 3

Substitute 2 and 3 into 1;

from 1; m<J+m<K+m<L = 180

m<L - 7 + 2m<L - 21 + m<L = 180

4m<L - 28 = 180

4m<L = 180+28

4m<L = 208

m<L = 208/4

m<L = 52 degrees

Get m<J;

m<J = m<L -7

m<J = 52-7

m<J = 45 degrees

Get m<K;

m<K = 2m<L - 21

m<K = 2(52) - 21

m<K = 104 - 21

m<K = 83degrees

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Hence, Six ( 6 ) alarms are used to certain that a burglar is trying to enter and get detected by at least one alarm.

Given;

There are many automatic burglar alarms in a sizable bank vault.

The likelihood that a burglar will be discovered by a single alarm is 0.55.

We need to get;

How many of these alarms should be installed to be 99% confident that at least one alert will detect a thief attempting to enter

The probability of one alarm has a likelihood of failing to detect a burglar is

1 - 0.55 = 0.45

Let's say there are ' n ' alerts.

The likelihood that not one of the ' n ' alarms will sound is 0.45ⁿ.

The likelihood that at least one of the alarms catches the intruder is then just 1 - 0.45ⁿ.

This probability should be 99%, as desired.

In other words, if we solve for n and get

1 - 0.45ⁿ = 0.99

n = 5.76

n ≅ 6

Therefore, 6 alarms were utilized.

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Answer:

4.69135782e17

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we have to find out area of the base

\(s = \frac{a + b + c}{2} \)

\( = \frac{5 + 12 + 13}{2} \)

\( = \frac{30}{2} \)

\( = 15\)

Area of base = \( \sqrt{s(s - a)(s - b)(s - c)} \)

\( = \sqrt{15(15 - 5)(15 - 12)(15 - 13)} \)

\( = \sqrt{15 \times 10 \times 3 \times 2} \)

\( = \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2} \)

\( = 2 \times 3 \times 5\)

\( = 30 \: {cm}^{2} \)

Now, let's find the volume of triangular pyramid

\( = \frac{1}{3} \times a \times h\)

\( = \frac{1}{3} \times 30 \times 12\)

\( = 120 \: \) cm³

Hope this helps..

best regards!!

Answer:

The first one is x=-14 the second one is 3

Step-by-step explanation:

Therefore, the column matrix b can be expressed as a linear combination of the columns of A as: b = [-1; 2].

To express the column matrix b as a linear combination of the columns of A, we need to find coefficients such that b can be written as:

b = c1 * A1 + c2 * A2 + c3 * A3

where A1, A2, and A3 are the columns of matrix A, and c1, c2, and c3 are coefficients.

Given matrix A:

A = [3, 2, 1;

-1, -3, 1]

And column matrix b:

b = [-3; 5]

Let's solve for the coefficients c1, c2, and c3 by setting up a system of equations:

c1 * [3; -1] + c2 * [2; -3] + c3 * [1; 1] = [-3; 5]

This can be rewritten as a system of linear equations:

3c1 + 2c2 + c3 = -3

-c1 - 3c2 + c3 = 5

We can solve this system of equations to find the values of c1, c2, and c3.

By solving the system, we find:

c1 = -2

c2 = 1

c3 = 3

Therefore, the column matrix b can be expressed as a linear combination of the columns of A as:

b = -2 * A1 + 1 * A2 + 3 * A3

Substituting the values of A1, A2, and A3:

b = -2 * [3; -1] + 1 * [2; -3] + 3 * [1; 1]

Simplifying:

b = [-6; 2] + [2; -3] + [3; 3]

b = [-1; 2]

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Answer:

6 of the 8 sections are not yellow, so:

P(not yellow) = 6/8 = 3/4 = 75%

Answer:

Its vertical.

Step-by-step explanation:

The final expression for the given problem is (f(3+h) - f(3))/h = -h - 3.

To solve this problem, we first need to determine the value of f(3+h) and f(3):

Given \(F(x) = 4 + 3x - x^2\), we can find f(3+h) by substituting 3+h for x:

\(f(3+h) = 4 + 3(3+h) - (3+h)^2\\f(3+h) = 4 + 9 + 3h - (9 + 6h + h^2)\\f(3+h) = -h^2 - 3h + 4\)

Next, we can find f(3) by substituting 3 for x:

\(f(3) = 4 + 3(3) - (3)^2\\f(3) = 4 + 9 - 9\\f(3) = 4\)

Now we can substitute these values into the expression (f(3+h) - f(3))/h:

\((f(3+h) - f(3))/h = ((-h^2 - 3h + 4) - 4)/h\\(f(3+h) - f(3))/h = (-h^2 - 3h)/h\\(f(3+h) - f(3))/h = -h - 3\)

Therefore, the final expression for the given problem is:

(f(3+h) - f(3))/h = -h - 3

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.99379> .01 data are strong enough, at the 1 percent level of significance, to establish the claim of the toothpaste advertisement.

H0: μ= 3.05

Let us create hypotheses as

Population mean and std deviation are given here

Sample size n = 2500

The sample mean = 3.05

Ha: μ> 3 (one-tailed test)

z= (3.05-3)/1/√2500= 0.05 x 50 = 2.5

Level of significance = 1%

For a one-tailed test at a 1% significance level Z critical = .99379

P value (consulting a z table) is .99379.

Since .99379> .01 we can reject the null hypothesis and conclude that the toothpaste does reduce the number of cavities.

However, a reduction of .01 cavities a year (1 in 20 years) is probably not enough to compel people to switch. This is an example of a difference that is statistically significant, but probably not practically significant.

These data are strong enough, at the 1 percent level of significance, to establish the claim of the toothpaste advertisement.

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Answer:

The answer is

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

Hope this helps you

Statement ii "at least one of the homes was sold for more than $130,000 and less than $150,000." must be true. Because Since the arithmetic mean sale price is $130,000, it means that half of the homes were sold for more than $130,000 and half were sold for less than $130,000. So, the correct option is Statement ii.

Since the arithmetic mean sale price is $150,000, it means that the total sale price of all 15 homes combined was $150,000 x 15 = $2,250,000. However, this does not necessarily mean that at least one of the homes was sold for more than $165,000, as some homes could have been sold for less than the mean to bring the average down. Therefore, statement i is not necessarily true.

On the other hand, statement iii is not necessarily true either, as we have no information about the sale price of the lowest-priced home or any other individual home. It is possible that all 15 homes were sold for more than $130,000, in which case statement iii would be false.

So, the correct answer is statement ii.

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Given the equation,

Complete squares as shown below,

Thus,

Similarly,

Therefore,

Finally, the standard form is.

As for the vertices, foci, and asymptotes,

Foci: (-1,-1/2), (9,-1/2)

Vertices

Vertices: (8,-1/2), (0,-1/2)

Asymptotes:

Asymptotes: y=3x/4-7/2 and y=-3x/4+5/2

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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