Answer 1 and 2 for brainliest

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:

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:

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:

[tex]y-10=-2(x-7)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point

Plug in the slope

[tex]y-y_1=-2(x-x_1)[/tex]

Plug in the given point (7,10)

[tex]y-10=-2(x-7)[/tex]

I hope this helps!

Answer:

Step-by-step explanation: Determine the radius of a circle. ...

Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm .

You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm² .

The circumference of the given circle is approximately 43.96 inches.

Given that a circle with radius of 7 inches, we need to find the circumference of the circle,

We know that,

In the case of a circle, the circumference is the distance around the circle.

It is the total length of the curve that forms the boundary of the shape.

To find the circumference of a circle, you can use the formula:

Circumference = 2π × radius

The radius of the circle is 7 inches, and using the approximation of π as 3.14, we can substitute these values into the formula:

Circumference = 2 × 3.14 × 7

Circumference = 43.96 inches

Therefore, the circumference of the given circle is approximately 43.96 inches.

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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

Answer:

72

Step-by-step explanation:

(a+b)h / 2

(9+15)6 / 2

24 x 6 / 2

72

I hope im right!!

Answer:

honestly I don't know 5

Step-by-step explanation:

Answer:

D!

Step-by-step explanation:

Desmos has a free graphing calculator for future references :)

Answer:

-4

Step-by-step explanation:

by finding the exact value.

Step-by-step explanation:

2.

- the volume of initial prism is 3*3*6=54 cm³;

- the number of cubics of the requested 72 cm³ is 72;

- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;

- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.

3.

- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;

- according to the requirement 3 layers is 16*3=48 in³; three times 16.

- according to the requirement 5 layers is 16*5=80 in³; five times 16.

- according to the requirement 7 layers is 16*7=112 in³; seven times 16.

Answer:

A (i think)

Step-by-step explanation:

If i'm right please mark me branliest

Answer:

Rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

Step-by-step explanation:

Given that the volume of a cylinder is calculated using the formula Phi x Radius ^ 2 x Height, and knowing that the cylinder in question has a height of 13 inches and a base diameter of 12 inches, to calculate said volume the following calculation must be done:

Phi x (12x12) x 13 = X

Phi x 144 x 13 = X

Phi x 1,872 = X

3.14 x 1,872 = X

5,878.08 = X

Thus, rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.

The answer is 1470.3

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:

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:

the congruent the congruent???

Step-by-step explanation:a dilation a dilation with two factors???

The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.

Option A is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

We have,

Dilation:

It changes the size of the figure so, the transformed figure is not congruent with the original figure.

Scale factor = 1 will not change the size of the figure.

Scale factor = 2 will change the size of the figure.

Reflection:

It does not change the size or the shape.

Rotation:

It does not change the size or the shape.

Thus,

The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.

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Answer:

The inequality 3x-(x-1)>5 represents this situation. Since Diana can run more than 1 mile on tuesday and more than 6 miles on sunday.

Step-by-step explanation:

Answer: D and E I'm sure

Answer:

1. B    2. D

Step-by-step explanation:

For the first answer we see that as there are more vehicles, the speed of the vehicles goes down. This can be seen from the negative slope of the scatter plot. In the second image, we cannot see any relation between the x and y coordinates.

The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).

A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.

For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.

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Answer:

P(A) = 0.1620 , P(A|B) = 0.0707

Step-by-step explanation:

Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20

P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620  

P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576

P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)

(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707

Answer:

i dont know what you are asking but 3/10-8/10

Step-by-step explanation:

Answer:

119

Step-by-step explanation:

common different: 7-3=4

initial value =3

so x-3=(n-1)d

only 119-3=116 is divisible by 4

It's the ans cuz n-1 has to be integer

Answer:

y = 1/5x + 3

Step-by-step explanation:

To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!

Answer:

-3x-8=16

-3x = 16+8

-3x = 24

x = 24/-3

x = -8

= -2(x-7)

= -2(-8-7)

= 30

Hope this helps you. Do mark me as brainliest.

deduct one whole number from the other number

Answer:

17 ft that's the ans

I don't know if it is correct

Answer:

7lm - 21lmn

taking common

7lm(1-3n)