Christine walks 0. 5 miles around the lake in 10 minutes.



What is the unit rate of her speed in miles per minute?

The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

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Answer:

B:1

Step-by-step explanation:

the values are the same, so we know the scale is 1:1

hope this helps

Answer:

b)1

Step-by-step explanation:

The 85% confidence interval that the true mean number of words a third grader can read per minute is between 30.131 and 30.869.

To create a confidence interval for the mean number of words a third grader can read per minute, an educational psychologist wishes to know the mean number of words a third grader can read per minute. She intends to produce an estimate at an 85% level of confidence.

For a sample of 146 third graders, the mean words per minute read was 30.5. Assume a population standard deviation of 3.1.

To create a confidence interval, the following formula can be used:

µ±z_α/2*σ/√n

Here, we are given the following details:

Sample size: n = 146

Mean: µ = 30.5

Population standard deviation: σ = 3.1

Level of confidence: α = 1 - 0.85 = 0.15

We need to determine the critical value of z_α/2.

α/2 ⇒ 0.15/2 ⇒ 0.075

Using a standard normal distribution table, we find that the value of z_0.075 is 1.44.

Confidence Interval: µ ± z_α/2*σ/√n

⇒ 30.5 ± 1.44 × (3.1/√146)

⇒ 30.5 ± 0.369

Thus, the confidence interval for the mean number of words a third grader can read per minute is (30.131, 30.869).

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Answer:

there are 13 players in a team

Answer:

A. 0

Step-by-step explanation:

Slope tells you steepness or flatness of your line.

If you know two points on a line find slope by subtracting the y's and put that on top of a fraction. And subtract the x's and put that on the bottom of the fraction.

Subtract y's: 3 - 3

Put it on top: 0/...

Subtract x's: 5 - -4

same as 5+4

Put that on the bottom: 0/9

slope, usually called m, is 0/9, which is 0.

Notice if you graph these two points its a hOrizOntal line. HOrizOntal lines have zerO slope.

16.5

110110/6666=16.5

A diverse workforce can provide a source of competitive advantage by suggesting goods and services that will allow the company to increase its market by catering to a broader customer base.

When an organization embraces diversity and inclusion, it brings together individuals from different backgrounds, cultures, experiences, and perspectives. This diverse pool of employees can offer unique insights and ideas that might otherwise go unnoticed, leading to innovative product development and improved customer experiences.

By having a workforce that represents a wide range of demographics, including race, ethnicity, gender, age, sexual orientation, and more, a company can better understand the needs and preferences of various customer segments. This understanding enables them to develop and market products and services that resonate with a larger audience, ultimately increasing market share and revenue.

A diverse workforce enhances creativity and problem-solving abilities within the organization. Diverse teams bring different ways of thinking and approaching challenges, fostering an environment of innovation and adaptability. This can lead to the development of groundbreaking solutions that meet the evolving demands of an increasingly diverse consumer market.

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Step-by-step explanation:

The area of the polygon is 51cm².

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem . Here is what it means: Perimeter = the sum of the lengths of all the sides Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side

Step-by-step explanation:

i thingk i help u

The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.

Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.

Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:

P(Democrat) = 60/100 = 0.6

Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:

P(Woman) = 60/100 = 0.6

Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:

P(Democrat and Woman) = 40/100 = 0.4

To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:

P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)

= 0.6 + 0.6 - 0.4

= 0.8

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Answer:

x ≤ - 5/3    

Step-by-step explanation:

Let the number be x

The sum of a number times 9 and 30 is at most 15 translates algebraically to

9x + 30 ≤ 15

Subtracting 30 both sides:
9x ≤ -15

Dividing by 9 both sides:
x ≤ - 15/9

or

x ≤ - 5/3    

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The equivalent expression is (a)  1 + √5

From the question, we have the following parameters that can be used in our computation:

√5 + 1

The additive property of equality states that

a + b = b + a

using the above as a guide, we have the following:

√5 + 1 = 1 + √5

This means that the equivalent of √5 + 1 is 1 + √5

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Complete question

Which of the following is equivalent to √5 + 1

O A 1 + √5

OB. 1-√√5

O C. √5-1

OD √5-2

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

Answer:

its cruked i dont see it

Step-by-step explanation:

Answer:

#1 .   12.5%

#2.   18.75%

#3.   19%

Step-by-step explanation:

2  / 16  x 100% = 12.5%

15 / 80  x 100% = 18.75

38 /200  x 100%= 19%

Find the surface area of a Cuboid of length, breadth, and height equal to 12 cm, 8 cm and 5 cm respectively.

\( \bullet \) Length (l) of a Cuboid is 12 cm.

\( \bullet \) Breadth (b) of a Cuboid is 8 cm.

\( \bullet \) Height (h) of a Cuboid is 5 cm.

The surface area of a Cuboid.

We know,

Formula of surface area of a Cuboid is 2(lb + bh + lh) sq units.

So, Surface area of a Cuboid = 2(12×8 + 8×5 + 12×5) sq cm.

= 2(96 + 40 + 60) sq cm.

= 2 × 196

= 392 sq cm

The cost of the apples can be modelled using the equation;

The value of x can be calculated by dividing both sides by 2;

So, Plotting the point x=3 on the number line we have;

Considering a proportional relationship, it is found that:

A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, in the case of a direct relationship, as presented below:

y = kx

In this problem, the cost of each pizza is of $7, hence the constant is of k = 7 and the equation is:

y = 7x.

Then the cost for 12 pizzas is found calculating the numeric value at x = 12, that is, replacing the lone instance of x in equation by 12 as follows:

y = 7(12) = $96.

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The Standard Form of the polynomial function 3x^2 4x + 7x^3 + 1 is 7x^3 +3^2 +4x + 1

The meaning of the Standard Form of polynomial function can be explained as when the terms are in this equation or functions are be written in descending order of exponents.

This is usually done starting from the from left to right, we were given the function as :3x^2 +4x + 7x^3 + 1  , then let us arrange it as:

7x^3 +3^2 +4x + 1

Therefore, the Standard Form of polynomial function is 7x^3 +3^2 +4x + 1 .

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The slope of the line in simplest form is: 1.

The slope (m) of a line is calculated as:

Slope (m) = rise/run = change in y / change in x.

The horizontal distance across the line is the run, while the vertical distance is the rise.

The blue line shows the rise of the line = 2 units

The red line shows the run of the line = 2 units

Slope (m) = rise/run = 2 units/2 units

Slope (m) = 1

Therefore, the slope of the line in simplest form is: 1.

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Answer:

x = 13

Step-by-step explanation:

BH / YL = HN / LR

28 / 21 = 3x-7 / x+11

cross-multiply:

4x + 44 = 9x - 21

-5x = -65

x = 13

Answer:13

Step-by-step explanation:

The number of ways the student answer the questions = 3300

In this question, we have been given that out of the first 11 questions on a test, a student must answer 7. of the second 5 questions, the student must answer 3.

We need to find the number of ways the student answer the questions.

of the first 11 questions on a test, a student must answer 7.

Let n1 be the number of ways this can be done.

n1 = 11C7

n1 = 330

of the second 5 questions, the student must answer 3.

Let n2 be the number of ways this can be done.

n2 = 5C3

n2 = 10

So, the required combination would be,

n = n1 * n2

n = 330 * 10

n = 3300

Therefore, the number of ways the student answer the questions = 3300

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

(-15,7)

Step-by-step explanation:

I did it on desmos

Answer:

9.6 ounces

Step-by-step explanation:

75% = 0.75

0.75*12.8 or 12.8 *3/4 is the answer.

12.8*0.75 = 9.6

Therefore, Colin drank 9.6 ounces of milk.

Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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Answer:

Domain: \([-1,\infty)\)

Range: \((-\infty, 3]\)

Decreases over: \((-1,-\infty)\)

Step-by-step explanation:

Given

\(f(x) = -\sqrt{x + 1} + 3\) --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

\(x + 1 \ge 0\)

Solve for x

\(x + 1 -1\ge 0-1\)

\(x \ge -1\)

Hence, the domain is:

\([-1,\infty)\)

To get the range, we plot the values of the domain in the expression.

\(x = -1\)

\(f(x) = -\sqrt{x + 1} + 3\)

\(f(-1) = -\sqrt{-1+1} +3\)

\(f(-1) = -\sqrt{0} +3\)

\(f(-1) = -0 +3\)

\(f(-1) = 3\)

\(x = \infty\)

\(f(\infty) = -\sqrt{\infty +1}+3\)

\(f(\infty) = -\sqrt{\infty}+3\)

\(f(\infty) = -\infty+3\)

\(f(\infty) = -\infty\)

So, the range is: \((-\infty, 3]\)

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval \((-1,-\infty)\)

Answer:

The symbol 'n,' represents the total number of individuals or observations in the sample.

Answer:

The principal quantum number, n, describes the energy of an electron and the most probable distance of the electron from the nucleus. In other words, it refers to the size of the orbital and the energy level an electron is placed in. The number of subshells, or l, describes the shape of the orbital.