Write an equation to represent the hanger.
Explain how to reason to find the value of x.

Answer:

(x - 3)^2 + (y + 2)^2 = 16

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

r = radius

(h, k ) is center of circle.

The center of the circle is (3, 2) and r is 4.

(x - 3)^2 + (y + 2)^2

16

Best of luck :3

An axiomatic system consists of some undefined terms (primitive terms) and a list of statements, called axioms or postulates, concerning the undefined terms. One obtains a mathematical theory by proving new statements, called theorems, using only the axioms (postulates), logic system, and previous theorems.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle=πr²

Radius = 16/2=8 Area of a circle=3.14×8×8

= 3.14×64

= 200.96cm²

= 201 cm² to the nearest unit.

Answer:

width of rectangle is 9m

Answer:

the answer is 1 over 12

Answer:

37

Step-by-step explanation:

14 + 8 + 15

Answer: 1680³

Step-by-step explanation:

length x width x height

14 x 15 x 8

Answer:

-4

Step-by-step explanation:

by finding the exact value.

Answer:

336 of them were teenagers

Answer:

There are 336 teenagers at the concert.

Step-by-step explanation:

You are welcome

Answer:

a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the Binomial distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

(a) Find the probability that a 100-foor roll has at most 2 flaws.

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that [tex]\mu = 1[/tex]. Only one roll means that the Poisson distribution is used.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679[/tex]

[tex]P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679[/tex]

[tex]P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.3679 + 0.3679 + 0.1839 = 0.9197[/tex]

0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

(b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them.

Two parts.

Probability that a single 200-foot roll has no flaw.

This is [tex]P(X = 0)[/tex], Poisson(single 200-foot roll) when [tex]\mu = \frac{200*1}{100} = 2[/tex]. So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 probability that a single 200-foot roll has no flaw.

Probability that on 10 200-foot rolls, 3 have no flaws.

Multiple 200-foot rolls means that we use the binomial distribution.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

10 200-foot rolls means that [tex]n = 10[/tex]

We want [tex]P(X = 3)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{10,3}.(0.1353)^{3}.(0.8647)^{7} = 0.1074[/tex]

0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

(c) What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]

2 with flaws in the first 14, which is [tex]P(X = 2)[/tex] when [tex]n = 14[/tex]

The 15th has no flaw, with probability of 0.1353. So

[tex]P = 0.1353*P(X = 2) = 0.1353*(C_{14,2}.(0.1353)^{2}.(0.8647)^{12}) = 0.1353*0.2911 = 0.0394[/tex]

0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it

Answer:

The surface area of this cylinder is 3545 cm²

∵ π =

∴ The lateral area = 24 × × 35.

∴ The area of the base = × (12)² = (144) = 452 cm²

∴ The surface area = 2640 + 2(452 ) = 3545 cm²

∴ The surface area of this cylinder is 3545 cm²

Step-by-step explanation:

Hope it is helpful.....

Answer:

a) According to probability theory, the following are possible:

(1) The probability that a customer will buy 5 items in a single purchase is 30%.  This represents a 0.30 chance of the customer buying 5 items.

(3) The probability that a customer will buy 3 items in a single purchase is 99%  This means that there a 0.99 chance that the customer will buy 3 items.

b) According to probability theory, the following are not possible:

2) The probability that a customer will buy 3 items in a single purchase is 101%.  Probability is always equal to 1 or 100%.  It cannot exceed 100%.

(4) The probability that a customer will buy 8 item.  This part lacks the necessary information to solve the problem.

Step-by-step explanation:

Probability describes the likelihood or chance of an event happening out of the many possible events that can take place.  The sum of all probabilities for a particular event is always equal to 1.  This shows that probability does not exceed 100%.

Answer:

[tex]\displaystyle d \approx 3.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Reading a Cartesian Plane

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(-2, 1)

Point B(1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3.6 units

Step-by-step explanation:

Point A --> [tex]x_{1} \\[/tex] = -2 , [tex]y_{1}[/tex] = 1

Point B --> [tex]x_{2}[/tex] = 1   , [tex]y_{2}[/tex] = -1

AB =

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\\sqrt{[1 - (-2)]^2 + [(-1) - 1]^2} \\\sqrt{3^2 + (-2)^2} \\\sqrt{9 + 4} \\ \sqrt{13} \\3.605[/tex]

distance between AB can be rounded to 3.6 units

Hope it helps.

Answer: D and E I'm sure

Answer:

117.2

Step-by-step explanation:

I hope this helps a little bit.

Answer:

A (i think)

Step-by-step explanation:

If i'm right please mark me branliest

Answer:

C

Step-by-step explanation:

14/21 = 2/3 = .666666666666666666666.....7

Answer:

honestly I don't know 5

Step-by-step explanation:

Answer:

surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of a rectangular prism is

A=2(xy+xz+yz). where x,y,z are its dimensions, in this case

A=2(12(11)+12(10)+11(10))

A=2(132+120+110)

A=2(362)

A=724 cm^2

Answer: 724cm²

Step-by-step explanation:

The formula is: 2(lw + hl + hw). Our units are 12, 11, and 10. So, the Length, Width, and Height are,

12 is the Length.

11 is the Width

10 is the Height.

Let's solve now. Our problem will be written like this,

2 · (11 × 12) + (10 × 12) + (10 × 11)

Let's solve.

1. Multiply 11 by 12.

11 × 12 = 132

2. Multiply 10 by 12.

10 × 12 = 120

3. Multiply 10 by 11.

10 × 11 = 110

4. Add up all the products.

132 + 120 + 110 = 362

5. Multiply 362 by 2.

362 × 2 = 724

Hence, 724 is the answer.

Answer:

48 packages

Step-by-step explanation:

Hello There!

The first step is to find out how many uniforms they need to do so we multiply 127 and 3

3x127=381

Then we divide it by 8 ( because that's how many uniforms are sold in one package.)

381/8=47.625

you cannot have a 6th of a package so we just round to the nearest whole

so we can conclude that they will need 48 packages

~TheMathWiz

Answer:

18

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]

If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

Answer:

y=8x+1

Step-by-step explanation:

The slope is a positive 8 because the line is going upwards. Slope equals rise over run. The rise is 8 units, and the run is 1 positive unit since it is going to the right. So 8/1 is 1. There's a +1 in the equation because the y-intercept is at positive 1. The y-intercept is where the line crosses the y-axis (vertical line). Here, the line crosses it at 1.

Answer:

no answer choices i cant help

Step-by-step explanation:

moan