factiorize; y*2-4,is the question​

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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x²+ 12x + 1x + 12

x(x+12) + 1(x+12)

(X+1) (X+12)

Answer:

20 degreese i belive but hey if you would can we ft instead of you marking me brainlyist

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

180 - 110 = 70 (The value in left corner at bottom)

70 + 50 = 120 (Combined values apart from x)

180 - 120 = x (Total triangle amount - combined amount to get x)

x = 40

Answer:

x<4

Step-by-step explanation:

Here, hope this helped!

A quick tip, just think that the sign is an equal sign, that helps.

Answer: \(x < 4\)

Step-by-step explanation:

Our inequality is \(3x-3 < 9\)

We will add 3 to both sides. (addition property of equality)

Simplify \(9 + 3 9+3 9+3 ~to ~12\).

Then divide both sides by 3. (division property of equality)

\(3x\)÷\(3 < 12\)÷\(3\)

\(\frac{3x}{3} < \frac{12}{3}\)

Simplify \(312~to~4\).

Answer:

Step-by-step explanation:

a. 110°

b. 70°

c. 110°

d. 70°

e. 110°

f. 70°

g. 110°

It is true that the sample mean and the sample standard deviation remain unaffected.

Mean is the average of the given data.

According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.

Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.

Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.

As each term is multiplied by k we have divide by k which is

= ky/k

= y.

So from both the results we can observe that the mean and the standard deviation remains same.

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Answer:

208

............

The total surface area of the square pyramid is 208 square inches.

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find the total surface area of the square pyramid in square inches.

We can write the total surface area of the square pyramid as -

A{total} = A{square} + 4 x A{Δ}

A{total} = (8 x 8) + (4 x 1/2 x 8 x 9)

A{total} = 64 + (16 x 9)

A{total} = 208 square inches

Therefore, the total surface area of the square pyramid is 208 square inches.

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Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

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Step-by-step explanation:

The sum of the exterior angles of any polygon equal 360 degrees .....

  sooooo   48 + 35 +  118 + 63 + x = 360

                          x = 360 - 48 -35 - 118 - 63 = 96 degrees

Answer: y = 4x

Step-by-step explanation:

I would say y = 4x because all of these equations have a constant involved except for that.

Answer:

4

Step-by-step explanation:

-x + 5 = 1

-x = 1 - 5

-x = -4

x = 4

Given:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.

To find:

The expected number of times it land on Red if you spin this spinner 1000 times.

Solution:

A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,

\(n+3n+8n=240\)

\(12n=240\)

\(n=\dfrac{240}{12}\)

\(n=20\)

The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:

\(P(Red)=\dfrac{20}{240}\)

\(P(Red)=\dfrac{1}{12}\)

If you spin this spinner 1000 times, then the expected number of times to getting red is:

\(E(Red)=1000\times P(Red)\)

\(E(Red)=1000\times \dfrac{1}{12}\)

\(E(Red)=83.333...\)

\(E(Red)\approx 83\)

Therefore, the expected number of times to land on red is 83.

The population after 5.2 years is 1880.8, or about 1881 people.

We are given that;

Growth rate = 3.8%

Now,

Find an equation relating the variables introduced in step. We can use the formula for exponential growth:

\($$P(t) = P(0)e^{rt}$$\)

where P(t) is the population after t years, P(0) is the initial population, e is a constant approximately equal to 2.71828183..., and r is the growth rate per year.

Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that P(0) = 1543, r = 0.038, and t = 5.2. Substituting these values into the equation for P(t), we get:

\($$P(5.2) = P(0)e^{rt}$$$$P(5.2) = 1543e^{0.038 \times 5.2}$$$$P(5.2) \approx 1543e^{0.1976}$$$$P(5.2) \approx 1543 \times 1.2184$$$$P(5.2) \approx 1880.8$$\)

Therefore, by exponential growth the answer will be 1880.8.

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Answer: not very sure but i think that may be 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

It's the 4th option.

Step-by-step explanation:

Corresponding angles are congruent, so x =43. I hope this helps, have a great day!

Answer:

A

ellipse

Step-by-step explanation:

Answer:

1.) The rectangular form of this equation is (A)

.2.) The equations represent a/an (ellipse)

.

Step-by-step explanation:

Edge 2022

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

Im not sure about the function but I think the function is (3,9) or 3.

Step-by-step explanation:

Answer:

the answer would be n/4 + 9/2

Step-by-step explanation:

-

Answer:

$307.5          

Step-by-step explanation:

The bond is bought when Elena was born and its value is $150

Starting balance = $150

Once Elena turns 20 the bond has already earned 105% interest.

To calculate that out the equation is

20 year total = starting balance + (starting balance x interest rate) /100

\(T = 150 + \frac{150 X 105}{100}\)

That means after 20 years the bond will be $307.5.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

To find which cylinder has the greater volume, we need to find out the volume of each one.

As we all know that the formula used to determine the volume of a cylinder is:

V = The base area*the height

<=> V = π\(r^{2}\)h (cubic units)

For example, in my attached photo, we will use this formula to find the volume of each one.

The base area = π\(r^{2}\) = π\(3.5^{2}\) = 38.46 square in

The height = 8.5 in

=> the volume of Cylinder A

= The base area*the height

= 38.46*8.5

= 326.91 cubic in

The base area = π\(r^{2}\) = π\(2.7^{2}\) = 22.89 square in

The height = 11 in

=> the volume of Cylinder A

= The base area*the height

= 22.89*11

= 251.79  cubic in

Hence, Cylinder B has the greater volume

The values of ;

angle C = 74°

segment b = 24.0

segment c = 24.5

The Law of sines gives a relationship between the sides and angles of a triangle.

Sine rule can be expressed as;

a/sinA = b/sinB = c/sinC

Where, a, b, c are the lengths of the sides of the triangle and A, B, and C are their respective opposite angles of the triangle.

angle C = 180-( 36+70)

angle C = 180- 106

= 74°

a/sinA = b/sinB

= 15/sin36 = b/sin70

15sin70 = bsin36

14.1 = 0.588b

b = 14.1 /0.588

b = 24.0( nearest tenth)

c/sinC = a/sinA

c/sin74 = 15/sin36

0.588c = 14.4

c = 14.4/0.588

c = 24.5 ( nearest tenth)

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The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius is given as,

r = 36 / 2

r = 18 inches

The area of the circle is given as,

A = π x (18)²

A = 3.14 x 324

A = 1,017.36 square inches

The number of square inches of cloth cut from the square will be 1,017.36 square inches. Then the correct option is A.

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The complete question is given below.

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.

How many square inches of cloth is cut from the square?

(π = 3.14)

1,017.36 in2

1,489.24 in2

1,182.96 in2

1,276.00 in2

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolizes one potential experiment result.

The sample space may be limited or infinite, depending on the nature of the experiment. A sample point is a component of the sample space that symbolises one potential experiment result.

The sample space is a set in probability theory that includes all potential results of a random experiment. The set of all potential outcomes or outcomes of a random experiment is referred to as a sample space. The set 1, 2, 3, 4, 5, and 6 might be the sample space, for instance, if we are rolling a die.

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the situation, either a finite or infinite sample space

A sample space is a group of items that in set theory represents all potential outcomes of a random event. Depending on the nature of the experiment, the sample space may be either finite or limitless. A sample point is a component of the sample space that symbolises one potential result of the experiment. As it offers a framework for defining and computing probabilities, the sample space is a basic idea in probability theory.

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The correct answer is the value x such that: P(X ≥ x) = 0.95

(a) The sum of independent exponential variables with the same rate parameter follows a gamma distribution. In this case, since each T_i follows an exponential distribution with a rate parameter of 1/100 (mean of 100), the sum ∑_{i=1}^{10} T_i follows a gamma distribution with shape parameter k = 10 and scale parameter θ = 100. Therefore, ∑_{i=1}^{10} T_i ∼ Gamma(10, 100).

(b) To find the probability of successful operation for at least 1.5 years, we need to calculate the cumulative distribution function (CDF) of the gamma distribution at 1.5 years (547.5 days). Using the gamma CDF, denoted by F_X(x), we have:

P(X ≥ 547.5) = 1 - F_X(547.5)

Using the gamma CDF with shape parameter k = 10 and scale parameter θ = 100, we can calculate this probability.

(c) To determine the number of spares needed to be 95% sure of successful operation for at least two years, we need to find the point where the cumulative distribution function (CDF) of the gamma distribution is 0.95. In other words, we need to find the value x such that: P(X ≥ x) = 0.95

Using the gamma CDF with the appropriate shape and scale parameters, we can solve for x.

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