10. Prove that if f is uniformly continuous on I CR then f is continuous on I. Is the converse always true?

Answer:

58 markers

Step-by-step explanation:

52 + 6 = 58

Answer:

58 markers

Step-by-step explanation:

x-6=52 Set up the problem. "x" represents the number of markers.

 +6 +6 Add 6 to both sides to isolate x

x    =58

We sum up the probabilities from both scenarios:

Thomas has about an 84% chance of asking Madeline to the party.

To invite Madeline to a party, Thomas has two options: bumping into her at school or calling her on the phone.

There's an 80% chance he'll bump into her at school, and if that happens, he's 90% likely to ask her to the party.

On the other hand, if they don't meet at school, he'll call her, but he's only 60% likely to ask her over the phone.

To calculate the probability that Thomas will ask Madeline to the party, we need to consider both scenarios.

Scenario 1: Thomas meets Madeline at school
- Probability of bumping into her: 80%
- Probability of asking her to the party: 90%
So the overall probability in this scenario is 80% * 90% = 72%.

Scenario 2: Thomas calls Madeline
- Probability of not meeting at school: 20%
- Probability of asking her over the phone: 60%
So the overall probability in this scenario is 20% * 60% = 12%.

To find the total probability, we sum up the probabilities from both scenarios:
72% + 12% = 84%.

Therefore, Thomas has about an 84% chance of asking Madeline to the party.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Step-by-step explanation:

hello you then good mujhe samajh mein nahin a rahi hai sorry

Answer:

y = 6x - 9

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Point (4, 15)

Point (-1, -15)

Step 2: Find slope m

Step 3: Find y-intercept b

Step 4: Write linear equation

Substitute in all variables.

y = 6x - 9

And we have our answer!

The probability that 3 random Americans are selected to get a flu shot is 0.1205.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

46.8% of Americans get a flu shot each season according to the center for control.

Now,

46.8% = 0.468

The probability that a person gets a flu shot is P(f).

Then the probability that the first, second, and third person get a flu shot will be:

P( f ∩ f ∩ f ) = P( f ) × P( f ) × P( f )

P( f ∩ f ∩ f ) = 0.468 × 0.468 × 0.468

P( f ∩ f ∩ f ) = 0.219024 × 0.468

P( f ∩ f ∩ f ) = 0.102503232

Hence, the required probability is 0.1025.

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Answer:

N2

Step-by-step explanation:

Answer:

21 = -10m - 3

Add 3 to both sides:

24 = -10m

Divide by -10 on both sides:

-2.4  = m

Answer:

m = -2.4

Step-by-step explanation:

let me know if you need explanation

Answer:

57

Step-by-step explanation:

The given equation is

y = - 4x/7 - 4

The slope intercept equation is expressed as

y = mx + c

m represents slope

By comparing both equations,

slope = - 4/7

If two equations are parallel, it means that they have the same slope. Looking at the given options, for the last option,

4x + 7y = - 14

7y = - 14 - 4x

7y =

Answer:

4x + 7y = -14

Step-by-step explanation:

Parallel lines have same slope.

         Write each equation on y = mx + b form.

  4x + 7y = -14

         7y = -4x - 14

     Divide the entire equation by (7)

          \(\sf \dfrac{7}{7}y=\dfrac{-4}{7}x -\dfrac{14}{7}\\\\y = \dfrac{-4}{7}x-2\)

So, the line 4x + 7y = -14 has same slope as the mentioned equation.

4x + 7y = -14 is parallel to the given line.    

Answer:

y=-2x-6

Step-by-step explanation:

Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)

Convert our given line 6x+3y=4 into slope-intercept form to find the slope

Subtract 6x on both sides

3y=-6x+4

Divide 3 on both sides

y=-2x+4/3

The slope of the given line is the coefficient of x, -2

Parallel lines have the same slope, so the equation we're solving for also has a slope of -2

We also know that the y-intercept is -6, so we now have all the info we need to make the equation:

y=-2x-6

The probability distribution of the random variable Y is 0.63, 0.25, 0.12. The mean of y is 0.4899 and the std deviation of y is 0.6999 and the mean of the selling price for the fat quarters sold by Company G is $4.4 and the std deviation for the same is $0.99

a) x = number of defects on a fat quarter

to be sold, X must be, X ≤ 2

y = number of defects on the sellable fat quarter,

now from the table, P [fat quarter being sellable]

=P [X ≤ 2]

=0.58 + 0.23 + 0.11

= 0.92

Therefore, P[y-0] = P[x=0Ix≤2]

=\(\frac{P[x=0][x < 2]}{P[x < 2]}\)

=P[y=0] = 0.63

P[y=1] = P[x=1Ix≤2]

P[y=1] = \(\frac{0.23}{0.92}\)

=0.25

P[y=2] = P[x=2Ix≤2]

P[y=2] = \(\frac{0.11}{0.92}\)

= 0.12

y------------------0--------1---------2

probability---0.63----0.25----0.12

b)mean of y = E(y)

=0²×0.063+1×0.25+2×0.12

=0.25+0.24

=0.49

now we know that E(y²) = 0²×0.63+1²×0.25+2²×0.12

=0.25+0.48

=0.73

E(y²) - [E(y)]²

=0.73-0.49²

=0.4899

std deviation of y = 0.6999

c) now that we have E(G) = 0.40, √v(G) = 0.66

let s be selling price of fat quarters, then s = 5.00 - 1.50 × (G)

therefore = 5-1.5×0.4

=5-0.6

=$4.4 is the mean selling price.

now for the standard deviation price = v[5-1.5G]

=v(5)+1.5² v(G)

=0+2.25×0.66²

=v(s)= 0.9801

standard deviation of sp =√v(s)

=$0.99

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Hello.

Let's use the Distributive Property to simplify this expression:

\(\mathrm{-2(z-11)}\)

Multiply -2 times z and -11:

\(\mathrm{-2z+22}\)

\(\bigstar\) Note:

When we multiply a negative number times a negative number, we get a positive number.

Therefore, the answer is

\(\mathrm{-2z+22}\)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

It's easier to use standard form.

Step-by-step explanation:

Even though it does not give as much information about a graph as slope-intercept form or point slope form, it does make it fairly easy to find the x and y-intercepts.

The equation of the plane tangent to the surface z = 3x^2 + 3y^3 at (2, 1, 15) is 12x + 9y - z = 6.

To find the equation of the plane tangent to the surface z = 3x^2 + 3y^3 at (2, 1, 15), we need to first find the partial derivatives of z with respect to x and y:

f_x(x,y) = 6x

f_y(x,y) = 9y^2

Evaluating these partial derivatives at the point (2, 1), we get:

f_x(2,1) = 12

f_y(2,1) = 9

So the normal vector to the tangent plane is given by:

N = <f_x(2,1), f_y(2,1), -1> = <12, 9, -1>

To find the equation of the plane, we use the point-normal form of the equation of a plane:

(x - 2) (12) + (y - 1) (9) + (z - 15) (-1) = 0

Simplifying this equation, we get:

12x + 9y - z = 6

So the equation of the plane tangent to the surface z = 3x^2 + 3y^3 at (2, 1, 15) is 12x + 9y - z = 6.

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4500 people will stay in Sun City Hotel over a period of 3 years, assuming the monthly average of visitors remains constant throughout this period.

To calculate the number of people who will stay in Sun City Hotel over a period of 3 years, we need to know the total number of months in 3 years.

Since there are 12 months in a year, there are 12 x 3 = <<12*3=36>>36 months in 3 years.

So, if the monthly average of visitors is 125 people, then the total number of people who will stay in the hotel over a period of 3 years is:

125 x 36 = <<125*36=4500>>4500 people.

Therefore, 4500 people will stay in Sun City Hotel over a period of 3 years, assuming the monthly average of visitors remains constant throughout this period.

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Answer:

13.5*43=580.5

580.5/1=580.5

Bsically the answer would be 581 titles

Step-by-step explanation:

The total area of the glass used in making the rectangular prism-shaped aquarium is 60 square feet.

The rectangular crystal formed aquarium has a base area of 6 feet by 2.5 feet, which is equivalent to 15 square feet. The level of the aquarium is 4 feet. To compute the complete region of the glass utilized in making the aquarium, you really want to duplicate the base region by the level, which is 15 x 4 = 60 square feet. This implies that 60 square feet of glass were utilized in making the aquarium. The glass some portion of the aquarium incorporates the four sides and the top, while the base is normally made of an alternate material, like acrylic.

The foundation of the rectangular crystal formed aquarium is 6 feet by 2.5 feet, which gives an all out area of 15 square feet (6 x 2.5). The level of the aquarium is 4 feet. Hence, the absolute region of the glass utilized in creating the aquarium can be determined by duplicating the base region by the level: 15 x 4 = 60 square feet.

The glass a piece of the aquarium would be the four sides and the top. The base would ordinarily be made of another material, like acrylic.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The general strategy for solving the equation in form of :

\(\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b\)

is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.

so, correct choice is C. multiply both sides by a

Best way is multiply with a

By which x gets isolated

Let's check how?

In an observational study in which the sample is representative of the population, as the prevalence of disease increases among the population, the difference between the RR and the OR is not the same.The answer is option E. Increases.

Relative risk (RR) and odds ratio (OR) are the two measures used to describe the strength of the association between an exposure and an outcome.

Both relative risk and odds ratio estimate the same thing: the likelihood of the outcome occurring among those exposed to the factor of interest compared with the likelihood of the outcome occurring among those not exposed to the factor.

However, relative risk and odds ratio have different interpretations and uses in epidemiology. The odds ratio is used when the outcome of interest is rare (less than 10%), whereas the relative risk is used when the outcome is common (greater than 10%).

Observational studies are studies in which the investigators do not assign exposure status to participants. Instead, investigators observe participants who have already been exposed or unexposed to the factor of interest.

In an observational study, as the prevalence of disease increases among the population, the difference between the relative risk and the odds ratio increases.

As a result, the odds ratio overestimates the relative risk when the prevalence of the outcome of interest is high.

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The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

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Hey there!

“Write 9 1/12 as a decimal”

9(12) + 1 / 12

9(12) = 108

108 + 1/ 12

108 + 1 = 109

109/12

109/12 = 9.083

Answer: 9.083

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

it's average value is 7 which is shown as solved given

The equation of the line in point-slope form and in​ slope-intercept form are both y = 1/2x.

1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.

3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.

If a line has a slope of 1/2 and passing through the origin, then:

m = 1/2

(x1, y1) = (0,0)

Plug in the values in the point-slope form and in​ slope-intercept form.

point-slope form

y - y1 = m(x - x1)

y - 0 = 1/2(x - 0)

y = 1/2x

slope-intercept form

y = mx + b

y = 1/2x + b

Substitute the values of x and y and solve for the y-intercept, b.

0 = 1/2(0) + b

b = 0

y = 1/2x + 0

y = 1/2x

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To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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