Can anyone help me plz????

Assuming that each of the sophomores, each of the juniors and each of the seniors is equally likely to be selected for the committee, there are b. 1211760 ways can the governance committee be selected, if it must be made up of 2 sophomores, 2 juniors and 3 seniors. The committee can be selected in 1,211,760 ways.

Combination formula:

Cn,x is the number of different combinations of x objects from a set of n elements, given by:

Cnₓ= n!÷ x! (n-x!)

In this problem:

2 sophomores from a set of 18.

2 juniors from a set of 12.

3 seniors from a set of 10.

They are independent, so we can just multiply them, thus:

T= C₁₈,₂ × C₁₂,₂× C₁₀,₃ = 18! ÷2!6! × 12!÷ 2!10! × 10!÷ 3!×7! = 1211760

The committee can be selected in 1,211,760 ways.

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Answer:

The quantity of natural numbers between \(a^{2}\) and \(c^{2}\) is \(2\cdot (a + b) + 1\).

Step-by-step explanation:

If \(a^{2}\), \(b^{2}\) and \(c^{2}\) are consecutive perfect squares, then both \(a\), \(b\) and \(c\) are natural numbers and we have the following quantities of natural numbers:

Between \(b^{2}\) and \(c^{2}\):

\(c^{2} = (b+1)^{2}\)

\(c^{2} = b^{2}+2\cdot b + 1\)

\(c^{2}-b^{2} = 2\cdot b + 1\)

And the quantity of natural numbers between \(b^{2}\) and \(c^{2}\) is:

\(c^{2}-b^{2}-1 = 2\cdot b\)

Between \(a^{2}\) and \(b^{2}\):

\(b^{2} = (a + 1)^{2}\)

\(b^{2} = a^{2} +2\cdot a + 1\)

\(b^{2}-a^{2} = 2\cdot a + 1\)

And the quantity of natural numbers between \(a^{2}\) and \(b^{2}\) is:

\(b^{2}-a^{2}-1 = 2\cdot a\)

And the quantity of natural numbers between \(a^{2}\) and \(c^{2}\) is:

\(Diff = 2\cdot a + 2\cdot b + 1\)

Please observe that the component +1 represents the natural number \(b^{2}\)

We would expect about 16 people in a sample of 800 people to be redheads, give or take some random variation.

What is probability ?

Probability is the measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain. Probability can be expressed as a fraction, decimal, or percentage. For example, a probability of 0.5 is the same as a probability of 1/2 or 50%.

The probability of an event can be calculated by counting the number of favorable outcomes and dividing by the total number of possible outcomes.

If 2% of the population has red hair, we can expect 2 out of every 100 people in the population to be redheads. To find out how many redheads we would expect in a sample of 800 people, we can use this proportion and multiply it by the number of people in the sample.

2/100 * 800 = 16

So, we would expect about 16 people in a sample of 800 people to be redheads, give or take some random variation.

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Chance is a way to gauge how likely something is to happen. It is a number between 0 and 1, where 0 denotes the impossibility of an occurrence and 1 denotes its certainty. It is possible to represent probability as an integer, decimal, or percentage. A probability of 0.5, for instance, is equivalent to a possibility of 1/2 or 50%.

By counting the favorable outcomes and dividing by the total number of potential outcomes, one can determine the probability of an occurrence.

We can anticipate that 2 out of every 100 people in the community will have red hair if red hair makes up 2% of the population. We can calculate the proportion of redheads we would anticipate in an 800-person group by

Answer:

Option A, $65,280Step-by-step explanation:The volume of the tank is,12×20×15+40×(50-15)×12= 3600+16800=20400 cubic metersFor each cubic meter, ...  More

Answer:

its C  (Species diversity)

Step-by-step explanation:

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer: A and B

-3^4 = -3 × -3 × -3 × -3 = 81

When dealing with multiplying all negative numbers, the result is going to be positive.

-3^2 = -3 × -3 = 9

Step-by-step explanation:

Divide

81/9 = 9

Find an equivalent expression whose product is |+9|

(-3)^2 = -3 × -3 = 9

(-3)^4 = -3 × -3 × -3 × -3 = 81

81/9 = 9

A is correct, so we must find the next correct answer.

(-3)^6 = -3 × -3 × -3 × -3 × -3 × -3 = 729

(-3)^4 = -3 × -3 × -3 × -3 = 81

729/81 = 9

B is correct. Thus,

\(\frac{(-3)^4}{(-3)^2} = B)\frac{(-3)^6}{(-3)^4} = A)\frac{(-3)^2}{(-3)^4}\)

Hope this helps, and have a great day.

Answer:

$8.30

Step-by-step explanation:

A pound of grapes will cost $1.66,

$4.98÷3=$1.66,

Meaning 5 pounds of grapes will be,

$1.66×5=$8.30.

A cheerilee teen willing to help,

stay positive, safe and Brainly!

Answer:

ok yes

Step-by-step explanation:

The number of games it will take until they tie in points scored if they continue at the same rate is;

7 games.

We are told that Bill averages 10 points a game and has 110 points for the season.

Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games

Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;

96/12 = 8 games.

Now, let the additional number of games to be played for them to have the same points be x. Thus;

110 + 10x = 96 + 12x

12x - 10x = 110 - 96

2x = 14

x = 14/2

x = 7

In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.

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Answer:

y=-3/2x+8

Step-by-step explanation:

Answer:

Explanation is in a file

Answer:

2 * (i^6) * (3 * i) =

- 6 i

Step-by-step explanation:

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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The minimum value of f(x, y, z) subject to the constraint is 1/4, and the maximum value is 241/256.

To solve this problem, we will use the method of Lagrange multipliers. First, we define the Lagrangian function as follows:

L(x, y, z, λ) = x^2 + y^2 + z - λ(x^2 + 2y^2 + 4z^2 - 1)

Taking the partial derivatives with respect to x, y, z, and λ, we get:

∂L/∂x = 2x - 2λx = 0

∂L/∂y = 2y - 4λy = 0

∂L/∂z = 1 - 8λz = 0

∂L/∂λ = x^2 + 2y^2 + 4z^2 - 1 = 0

From the first equation, we can see that either x = 0 or λ = 1. If x = 0, then the fourth equation implies that 2y^2 + 4z^2 = 1. This gives us a family of ellipses in the yz-plane, with the minimum and maximum values of f(x, y, z) occurring at the endpoints of the major axis. Since the major axis is aligned with the z-axis, we have z = ±1/2 and y = 0. Plugging these values into f(x, y, z), we get:

f(0, 0, 1/2) = f(0, 0, -1/2) = 1/4

If λ = 1, then the second equation implies that y = 0, and the third equation implies that z = 1/8. Plugging these values into the fourth equation, we get x^2 = 1 - 2(0) - 4(1/8)^2 = 15/16, so x = ±√(15)/4. Plugging these values into f(x, y, z), we get:

f(√(15)/4, 0, 1/8) = f(-√(15)/4, 0, 1/8) = 15/16 + 1/64 = 241/256

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Answer:  9 ab is the area of the garden.

No scale or dimensions are given, so

Estimating to get a practical, reasonable answer:

Using typical walkway widths to 6 ft, it is reasonable to calculate the area the red triangle to be 486 square feet

and the area of the garden to be about 4400 square feet, rounding up.

OR

Using a metric standard of 2 meters, The area of the red triangle would be 54m²

The area of the garden would be about 500m²

Step-by-step explanation:

The area of the red triangle is \(A = \frac{ab}{2}\)  That is assuming that it is a right triangle and side a is the altitude or height of the triangle and side b is the base.  

The measurements of the triangle are approximately in the proportion of 3, 4, 5, a typical "Pythagorean Triple" right triangle.

Estimating from rough measurements of the triangle and the dimensions of the garden as shown, it appears that the area of the garden is about 18 times the area of the red triangle.

The area of the triangle is half the area of a rectangle with the same side lengths a & b, so 9 ab is a good estimate of the area of the garden.

If  the walkways are the typical 6 foot width found in many public gardens, and the length side b is the about 6 of those widths, and side a is about 4.5 of those widths, we can estimate the altitude to be 27 and the base to be 36 (in the proportion 3:4).

Area of the triangle estimate: A = 36ft × 27ft /2 = 486 square feet

OR

Using a metric standard, estimate  a 2 meter wide sidewalk, the area of the triangle can be reasonably calculated to be A = 9m × 12m /2 = 54 m²

The area of the garden would be 9 × 54 = 486m² rounded reasonably to 500m²

Answer: 5400

Step-by-step explanation:The area of the triangle is defined as the product of half the base and the height of the triangle. The area of the triangle = 1/2 x b x h It is given that the length of the sides are as A= 90 B=120 C=150.

So, The area of the triangle = 1/2 x b x h = b x h/2  = 120 x 90/2 = 10800/2 = 5400

Kirk would have paid $13,900 more for damages than what he had invested in his insurance policy if he did not have automobile insurance.

The amount that Kirk would have paid for damages than what he had invested in his insurance policy if he did not have automobile insurance can be determine as follows. Hence,

1. Calculate the total amount Kirk paid in insurance premiums over 8 years:

$1,075 * 8 = $8,600

2. Determine the total value of the car that was totaled:

$22,500

3. Subtract the total amount Kirk paid in insurance premiums from the value of the totaled car:

$22,500 - $8,600 = $13,900

Kirk would have paid $13,900 more for damages.

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Answer: Commutative Property of Addition

This property says that A+B = B+A. The order of addition doesn't matter.

As an example, 2+3 = 3+2 since both sides evaluate to 5.

Answer:

C. Test each substance with red litmus paper.

Step-by-step explanation:

C is the correct answer because when you apply a base with a red litmus paper the outcome color should result in blue.

The best approach best investigate whether substances are basic is to test each substance with red litmus paper.

In general, bases are substances that can neutralise a small amount of acid. Ammonia and sodium carbonate are both bases even though neither of them includes OH groups.

When in contact with basic chemicals, red litmus paper turns blue instead of red. Thus we should use red litmus paper to test the basicity of home items.

Hence, the test each substance with red litmus paper.

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Answer:

1952

Step-by-step explanation:

Just add lol

Answer:

the simplest form of 15/20 is 3/4

Answer:

1 slice will be left because there are 16 slices and 15 guests

Step-by-step explanation:

Answer:

0.0944

Step-by-step explanation:

Move the decimal place over by 3 so it would be 0.0944.

The probability that you will walk at least 2 dogs this week is 0.74

The probability that you will walk at most 2 dogs this week is 0.41

The probability that you will walk 3 dogs this week is 0.23

The probability that the number of dogs you will walk this week is not less than 5 is 0.18

The expected number of dogs you will walk this week is 2.83

The expected value of x is 11.29

The variance of dogs you will walk this week is 3.2811

The standard deviation of dogs you will walk this week is 1.8113

X: Random variable denoting how many dogs you walk this week.

Table attached at the end of solution

a) Probability that you will walk at least 2 dogs this week

\(P(x \geqslant 2) & =1-P(x < 2) \\\)

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [0.14 + 0.12]

= 1 - 0.26

\(P(x \geqslant 2) &\) = 0.74

b) What is the probability that you will walk at most 2 dogs this week

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

= 0.14 + 0.12 + 0.15

P(x < 2) = 0.41

c) Probability that you will walk 3 dogs this week

P(x = 3) = 0.23

d) Probability that the number of dogs you will walk this week is not less than 5

\(P(x \geqslant 5) &\) = P(x = 6) + P(x = 7) + P(x = 5)

= 0.08 + 0.01 + 0.09

= 0.09 + 0.09

= 0.18

e) Expected number of dogs you will want this week

F(x) = \(\sum_i p_i x_i\)

E(x) = 0 × 0.14 + 1 × 0.12 + 2 × 0.15 + 3 × 0.23 + 4 × 0.18 + 5 × 0.09 + 6 × 0.08 + 7 × 0.01

E(x) = 2.83

f) Expected value of \($x^2$\)

\(E\left(x^2\right) & =\sum_1 p_i x_i^2 \\\)

= 0 × 0.14 + 1 × 0.12 + 4 × 0.15 + 9 × 0.23 + 16 × 0.18 + 25 × 0.09 + 36 × 0.08 + 49 × 0.01

\(E\left(x^2\right) &\) = 11.29

g) Variance of dogs you will walk this week

\(V(x) & =E\left(x^2\right)-[E(x)]^2 \\\)

\(& =11.29-(2.83)^2 \\\)

= 3.2811

h) Standard deviation of dogs you will walk this week

SD (x) = \(\sqrt{3.2811} \\\)

= 1.8113

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You start a dog-walking business. Define X to be a random variable denoting how many dogs you walk

this week. The probability mass function (pmf), f(x), of X is defined as follows:

Table attached at end of the solution

(a) What is the probability that you will walk at least 2 dogs this week?

(b) What is the probability that you will walk at most 2 dogs this week?

(c) What is the probability that you will walk 3 dogs this week?

(d) What is the probability that the number of dogs you will walk this week not be less than 5 ?

(e) What is the expected number of dogs you will walk this week?

(f) What is the expected value of \($X^2$\) ?

(g) What is the variance of dogs you will walk this week?

(h) What is the standard deviation of dogs you will walk this week?

Answer:

42

Step-by-step explanation:

4x + 2 = 1/2 (4x + 44)                Be careful how you do this. I have multiplied both sides by 2

2(4x + 2) = 4x + 44                    Remove the brackets (distributive)

8x + 4 = 4x + 44                        Subtract 4x from both sides

8x-4x + 4 = 44                          

4x + 4 = 44                                Subtract 4 from both sides

4x + 4-4 = 44-4

4x = 40                                       Divide by 4

4x/4 = 40/4

x = 10

The mid line is 4x + 2

The mid line is 4*10 + 2

The mid line is 40 + 2

The mid line is 42

The base is 4x + 44

The base is 4*10 + 44

The base is 40 + 44 = 84 which is twice the midline. I did this just to show it is twice as big as the midline.

Answer:

C is the correct graph.

Step-by-step explanation:

Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.

Answer:

the answer is 60

Step-by-step explanation:

so you see that there's 20 percent right, you find what number u can add it by to get 100, so 80+20=100 so u do that and put it in a decimal form which is 0.8 and you multiply it by the price so 0.8 x 75= 60

A line bisector is a straight line that would divide a given line segment into two equal parts. The bisection of line segments CD, XY and AB are attached to this answer.

Bisection implies dividing a given line segment or angle into two equal parts or measure of angles. Thus we have a line bisector, and an angle bisector.

To construct a line bisector to the given line segments:

1) Measure a radius of the compass greater than the midpoint of line CD.

• Using point C, describe an arc above the line, then below the line.

• With the same radius and point D as the center, describe an arc above the line and below the line to intersect previous arcs.

• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.

2) Using a compass, measure a radius greater than the middle of line xy.

• Using point x, describe an arc above the line, then below the line.

• With the same radius and point y as the center, describe an arc above the line and below the line to intersect previous arcs.

• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.

3) Using a compass, measure a radius greater than the middle of line AB.

• Using point A, describe an arc above the line, then below the line.

• Using the same radius and point B as the center, describe an arc above the line and below the line to intersect previous arcs.

• Join the points of intersection of the arcs with a straight line. Thus this is the line bisector.

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The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set. if you need a video Explanation https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/mean-and-median/v/mean-median-and-mode