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Answer:

Step-by-step explanation:

Properties

Center:(7,0)

The center of a circle is a point from which all points on a circle are the same distance.

Radius:4

The radius of a circle is the length of a line segment from its center to its perimeter.

The radius is typically denoted as "r" or "R".

Diameter:8

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.

Circumference or (or Permieter) = 2*π*R = 2*3.14*4 = 25.1327412287183

The circumference of a circle is the distance around it.

Area:50.2654824574367

Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.

Equation

Standard Form

The standard form for the equation oif a circle is

(x-a)2+(y-b)2=r2

And in our particular case:

(x-7)2+(y-0)2=42

(x-7)2+(y-0)2=16

General Form

The general form for the equation of a circle is

x2 + y2 + Ax + By + c = 0

We can get the general form by expanding the equation of the standard form

(x-a)2+(y-b)2=r2

(x-7)2+(y-0)2=42

(x-7)2+(y-0)2=16

x2-14x+49+y20y+0=16

x2+y2-14x+0y+33=0 Referenced definitions

Chord A chord of a circle a line segment that joins two points on the circumference of a circle.

π The ratio of a circle's circumference to its diameter. Equal to 3.1415926535... (the digits go on indefinitely without repeating)

Circle a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the centre).

The required equation of a circle will be (x - 7)² + y² = 16 with a center at (7, 0) and a radius of 4.

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The center of the circle is given as (h,k) = (7, 0) which is given in the question

And radius r = 4

Substituting the given values into this equation gives us an equation of a circle with a center at (7, 0) and a radius 4:

(x - 7)² + (y - 0)²  = 4²

Simplifying this equation gives us:

(x - 7)² + y² = 16

This is the equation of a circle with a center at (7, 0) and a radius of 4.

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For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule

Z = (X - 19) / 4.04

(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]

… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]

… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]

(since Z is a continuous random variable)

… ≈ 0.4367

(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]

… ≈ Pr[Z > 0.2475]

… ≈ 1 - P[Z ≤ 0.2475]

(taking the complement probability)

… ≈ 0.4023

(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]

(also taking the complement)

… ≈ 0.1611

Answer:

g(x) = -f(x) +5

Step-by-step explanation:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

Blueberry pies sold each day So, Least: 1, Greatest:8, Median(02):4,

Lower quartile(q1):3, Upper quartile(03):5.

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right.

From the given data

The Least number is  1.

The greatest number is 8.

The Median(02) is  4.

Lower Quartile (Q1): 3

Upper Quartile (03): 5

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Answer:

calculator

Step-by-step explanation:

calculator

Answer:

[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]

Step-by-step explanation:

The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:

[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]

Answer:

47.50 per calculator

Step-by-step explanation:

Take the total cost and divide by the number of calculators to get the cost of one calculator

190/4 =47.50

Answer:

1/6

Step-by-step explanation:

Answer:1 1/15

Step-by-step explanation:

2/3 x 5= 10/15

2/5 x 3= 6/15

Both denominators have to be the same so you can add them together.

10/15 + 6/15=16/15   or 1 1/15

Answer:

the answer is probably C

Answer:

the answer is B

Step-by-step explanation:

because the minimum score is 5

The degree for 7pi/4 is : 315°

Answer:

35.25

Step-by-step explanation:

Answer:

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Population of 280, which means that [tex]N = 280[/tex]

112 use e-ticket check-in kiosk, which means that [tex]k = 112[/tex]

Sample of eight passengers means that [tex]n = 8[/tex]

Find the approximate hypergeometric probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

This is P(X = 4). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,280,8,112) = \frac{C_{112,4}*C_{168,4}}{C_{280,4}} = 0.2348[/tex]

0.2348 = 23.48% probability that four will have used the e-ticket check-in kiosk to obtain boarding passes.

Answer: 4

Step-by-step explanation:

Just add

Answer:

4

Step-by-step explanation:

just add or if you can't then use a calculator

Answer: [tex](c)[/tex]

Step-by-step explanation:

Given

Fractions are[tex]\dfrac{x^2-5x+6}{x-5}[/tex] and [tex]\dfrac{x^2-1}{3(x-5)}[/tex]

LCD of the two fractions is the least common denominator

[tex]\text{LCD}\{x-5,3(x-5)\}=3(x-5)[/tex]

Thus, option (c) is correct.

Answer:

C

Step-by-step explanation:

Answer:

y = 3x + 4

Step-by-step explanation:

y = mx + b

b = y-intercept so:

b = 4

Since 4 is the y-intercept that means (0, 4).

To find slope:

m=(y2-y1)/(x2-x1)

m=(4 - 10)/(0 - 2)

m= (-6)/(-2)

m= 3

Slope-intercept:

y - y1 = m(x - x1)

y - 10 = 3(x - 2)

y - 10 = 3x - 6

y = 3x + 4

Answer:

True

Step-by-step explanation:

The largest animal phylum is also included within invertebrates

Answer:

___y141.3cm is the answer

The answer is A, 13

Step-by-step explanation:

The easy way to solve it was to plug in every answer to see which was equal to 32 since both sides were identical.

Answer:

A, C and F.

Step-by-step explanation:

Equation of a line:

The equation of a line has two formats:

[tex]y = mx + b[/tex]

Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).

And in point-slope form:

[tex]y - y(0) = m(x - x(0))[/tex]

In which (x(0),y(0)) is the point and m is the slope.

Slope:

When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So

Change in y: -2 - 4 = -6

Change in x: 1 - (-2) = 1 + 2 = 3. So

m = -6/3 = -2.

Equation in slope-intercept:

The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:

[tex]y = -2x[/tex], so option A is marked.

Equation if point-slope:

Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So

[tex]y - y(0) = m(x - x(0))[/tex]

[tex]y - 4 = -2(x - (-2))[/tex]

[tex]y - 4 = -2(x + 2)[/tex]

So option C is correct.

Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So

[tex]y - y_0 = m(x - x(0))[/tex]

[tex]y - (-2) = -2(x - 1)[/tex]

[tex]y + 2 = -2(x - 1)[/tex]

So option F is correct.

Answer:

Options A, C and F are correct.

Answer:

[tex]840[/tex]

Step-by-step explanation:

This is a good example of permutations. For the first slot on his shelf, Dylan has 7 trophies to choose from. Then 6, 5, and so on. Since he is only fitting 4 trophies on his shelf, we only continue until we have the slots filled. Thus, we have [tex]7\cdot 6 \cdot 5\cdot 4=\boxed{840\:\text{ways}}[/tex] to do so.

*Note: We do not divide by [tex]4![/tex] because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.

Answer:

Apples

Step-by-step explanation:

Answer:

f. for the x values I think its -1 & 5

Answer:

3x4 = 12 is the most related fact to 12:3 = 4

Step-by-step explanation:

Answer:

mr hill: 9

mr chang: 12

Step-by-step explanation:

mr hill can have 3 teams of 9 and

mr chang can have 2 teams of 12

Answer:

3 Teams of 25

Step-by-step explanation:

27+ 24= 51

51/3 = 17

Therfore it has to be 3 teams of 17

Answer:

Step-by-step explanation:

12/35

Answer:

2.5 days

Step-by-step explanation: