The area of a rectangle can be written as the sum of the areas of all its parts.What is a sum of the areas?

Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative  = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

1. The probability that exactly 12 students drive to school is 0.169.

2.The probability that more than 15 students drive to school is 0.027.

3. The probability that no more than 10 students drive to school is 0.004.

4. The mean and standard deviation of the sample are 13.6 and 2.4, respectively.

5. The percentage falling within 1 standard deviation of the mean is approximately 68%, which satisfies the empirical rule for normal distributions.

This problem involves the binomial distribution, since each student either drives to school (success) or does not (failure), and the probability of success is given as 0.68 for each student.

(1) The probability that exactly 12 students drive to school is given by the binomial probability mass function:

P(X = 12) \(= (20 choose 12) * (0.68)^12 * (1 - 0.68)^(20 - 12) = 0.169\)

(2) The probability that more than 15 students drive to school is given by the complement of the probability that at most 15 students drive to school:

P(X > 15) = 1 - P(X <= 15) = 1 - sum[(20 choose i) * \((0.68)^i * (1 - 0.68)^{20 - i)}\) for i = 0 to 15.

This is approximately 0.027.

(3) The probability that no more than 10 students drive to school is given by the cumulative distribution function:

P(X <= 10) = sum[(20 choose i) * \((0.68)^i * (1 - 0.68)^{20 - i}\) for i = 0 to 10. This is approximately 0.004.

(4) The mean of the binomial distribution is given by the formula np, where n is the sample size and p is the probability of success.

Thus, the mean is 200.68 = 13.6.

The standard deviation of the binomial distribution is given by the formula sqrt(np(1-p)), which is approximately 2.4.

(5) The percentage falling within one standard deviation of the mean is approximately 68% by the empirical rule, which is the same as the percentage of students who drive to school in the university.

However, the empirical rule applies to normal distributions, and the binomial distribution is not exactly normal.

Nonetheless, for large sample sizes, the binomial distribution can be approximated by a normal distribution using the central limit theorem, which would make the empirical rule applicable.

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By using substitution method, the equation is 10y²+56y-38.7=0

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x+4y= -8.6

9x-5y=28

By using substitution method,

2x+4y= -8.6

⇒x+2y= -4.3

x= (-4.3/2y)

Substituting x value in the second equation, we get

9(-4.3/2y)-5y=28

-38.7-10y²=56y

10y²+56y-38.7=0

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Answer:

7x2−2x−12

Step-by-step explanation:

Answer: =7x^2-2x-12

Step-by-step explanation:

In a given year, a member may get illness benefits for a maximum of 120 days. The total number of permitted compensable days for the next year cannot be increased by any unused fraction being carried forward. For the same condition, the sickness benefit cannot be awarded for more than 240 days.

A daily cash payment is made for each day a member is unable to work as a result of illness or accident.

Qualification Requirements

If a member meets the following criteria, they may be eligible to receive this benefit: Is unable to work due to illness or injury and is confined to a hospital or their home for a minimum of four (4) days;

Has duly notified the SSS directly of the fact of sickness or injury;

Has paid at least three (3) months' worth of payments within the 12-month period immediately preceding the semester of illness or injury.

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Answer:

A. the city's park

Step-by-step explanation:

It would be the park, because many people of different genders and ages go there, and it would be unbiased, since is not just a certain age or  gender of people who go there.

Total number of ways to arrange two focus groups of students, one group being size 4 and the other size 6, is 27,405,720.

This calculation was done using the combination formula, which takes into account the number of ways that we can select a certain number of items from a larger set, without regard to their order.

This type of problem is common in statistics and probability, where we often need to calculate the total number of ways that a certain event can occur. In this case, we wanted to determine how many different combinations of students could be chosen for the two focus groups.

It's important to note that the actual arrangement or order of the students within each group does not matter, as long as we have the correct number of students in each group. Therefore, by using the combination formula, we were able to account for all possible ways that these groups could be formed.

Overall, this type of problem highlights the importance of combinatorics in mathematics and its applications in real-world scenarios, such as organizing events, scheduling rotations, and more.

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The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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Answer:

x= 10/3 y=20/3

Step-by-step explanation:

You can substitute the second equation into the first one because the second one tells you what y is so you plug in to the first equation.

2x-(1/2x+5)=10

3/2x =5

Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

its A

Step-by-step explanation:

Answer:

I think it is (-5,11)

Step-by-step explanation:

I put it into Desmos and that was one of the points.

Answer:

21% or C

Step-by-step explanation:

If 60 students either didn't pass, got Cs or Bs, then 16 out of the 76 got As which is 21 percent.

Answer:

1. Animals.

2. Plants.

3. Fungi

4. Protists.

5. Monerans.

6. Kingdom.

7. Botany.

8. Reproductive parts.

9. Vegetative parts.  

10. Epidermis.

Step-by-step explanation:

1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.

2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.

3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).

4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.

5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.

6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista

7. The study of plants: Botany.

8. Flowers, fruits, and seeds: Reproductive parts.

9. Roots, stems, and leaves: Vegetative parts.

10. Provides plant cover on leaves and roots: Epidermis.

Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

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The two coordinates after the rotation are (2,-3) and (-8,5)

The points are given as:

(-2,3) and (8,-5)

The rule of 180 degrees clockwise rotation is:

(x,y) = (-x,-y)

This means that:

(2,-3) => (-2,3)

(-8,5) => (8,-5)

Hence, the two coordinates after the rotation are (2,-3) and (-8,5)

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Answer:

(2, -3) and (-8, 5)

Step-by-step explanation:

If a point is rotated 180° clockwise about the origin (0, 0) then:

(x, y) → (-x, -y)

Therefore,

(-2, 3) → (-(-2),-3) = (2, -3)

(8, -5) → (-8, -(-5)) = (-8, 5)

So the two coordinates after rotation would be (2, -3) and (-8, 5).

the linear regression equation that represents this set of data rounding all coefficients to the nearest tenth is ŷ = 0.23571X + 75.24762

Sum of X = 120

Sum of Y = 1157

Mean X = 8

Mean Y = 77.1333

Sum of squares  = 280

Sum of products (SP) = 66

Regression Equation = ŷ = bX + a

b  = 66/280 = 0.23571

a = 77.13 - (0.24*8) = 75.24762

ŷ = 0.23571X + 75.24762

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Answer:

A.

I'm just going off a calculator with limited abilities so I'm sure it's right but just think about it okay?

Step-by-step explanation:

Answer:

2y=9-x

y=9-x/2

9/2-x/2=mx+c

c=9/2

m=-1/2

Answer:

the answer of this question is

2y=-x+9

The variable X has a binomial distribution in the following distributions:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1 p), depending on the outcome's boolean value.

In a binomial distribution, we have a fixed number of independent trials (in this case, the number of patients), and each trial has only two possible outcomes (success or failure). The probability of success remains the same for each trial (in this case, the probability of the medicine working is 30%).

Option B does not represent a binomial distribution since it counts the number of patients for whom the medicine does not work, which is the complement of success. Option D is not a binomial distribution as it counts the number of doses each patient needs to take, which is not a success/failure outcome.

So, the correct answers are:

A. When the medicine is tried with two patients, X is the number of patients for whom the medicine worked.

C. When the medicine is tried with six patients, X is the number of patients for whom the medicine worked.

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Answer:

If the diameter is 18 then the radius r=9 so the area is:

πr2=81π≅254.469

Step-by-step explanation:

Explanation:

The area of a circle is given by the formula πr2 where r is the radius.

Answer:

A and D

Step-by-step explanation:

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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On solving the provided question we can say that - volume of 1 ball = V = 4/3 \(\pi r^3\\\) and volume of 8 balls = 40928.196

The geometric equivalent of a two-dimensional circle in three dimensions is a sphere. In 3D space, a sphere is a collection of points that are all located at the same r distance from a single point. The sphere's radius is denoted by r, and its center is the provided location. In geometry, a sphere is the collection of all points that are the same radius (distance) away from a certain point (center) in three dimensions, or the outcome of rotating a circle by one of its diameters. The parts and characteristics of a sphere resemble a circle's.

given,

radius of sphere = 10.7

volume of 1 ball = V = 4/3 \(\pi r^3\\\)

V= 4/3 X 3.14 X (10.7)  X (10.7) X (10.7)

V= 5116.0245

volume of 8 balls = 40928.196

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Answer:

g(x) = 8x -15

Step-by-step explanation:

g(x) = 8(x-2) +1

      = 8x -16 +1

      = 8x -15

Answer:

(4.5)(8.35)=37.58 lbs should be the answer

Step-by-step explanation:

Answer:

Hey!

your answer is

7:15:9

Step-by-step explanation:

you can divide all of your original numbers by 8.

to double check, times the answer by 8

hope this helps

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