slope PLS HELP!!!!!!!!!!!!!!!!!!!

Answer:

0.04

Step-by-step explanation:

es la respuesta válida

Answer:

Answer B, Dogs, cats, fish, birds, reptiles, hamsters

12% for birds, 20% for cats, 40% for dogs, 15% for fish, 3% for hamsters, and 10% for reptiles

Step-by-step explanation:

For the first you simply have to order the votes in desending order, from the most popular choice to the least, that being the order in option B

For the second, because there are 200 people who voted and percentages are out of 100%, you simply have to divide the number of votes for each kind of pet by 2 to get the percentage of people who voted for it.

The relative size of each category from largest to smallest is option B. Dogs, cats, fish, birds, reptiles, hamsters.

Percentage is defined as the parts of a number per fraction of 100. So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Given,

Total students surveyed = 200

Students who preferred dogs = 80

Students who preferred reptiles = 20

Students who preferred birds  = 24

Students who preferred cats = 40

Students who preferred fish = 30

Students who preferred hamsters = 6

(a) So most of the students preferred dogs, then cats, then fish, then birds, reptiles and hamsters.

So the relative size of each category from smallest to largest is Dogs, cats, fish, birds, reptiles, hamsters.

(b) Percentage of dogs = (80 / 200) × 100 = 40%

Percentage of reptiles = (20 / 200) × 100 = 10%

Percentage of birds = (24 / 200) × 100 = 12%

Percentage of cats = (40 / 200) × 100 = 20%

Percentage of fish = (30 / 200) × 100 = 15%

Percentage of hamsters = (6 / 200) × 100 = 3%

(c) Number of degrees for dogs = 40% × 360° = 144°

Number of degrees for reptiles = 10% × 360° = 36°

Number of degrees for birds = 12% × 360° = 43.2°

Number of degrees for cats = 20% × 360° = 72°

Number of degrees for fish = 15% × 360° = 54°

Number of degrees for hamsters = 3% × 360° = 10.8°

Hence the percentage and degree of each category is found.

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The solution is, $210 does he have to spend after paying his bills.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,

i.e. we get,

Drake’s monthly outlay include a $70 phone bill and a $120 car.

so, total spend = $ 120 + 70

                         = $190

now, we have to find how much does he have to spend after paying his bills.

so, we have to subtract 190 from 400

i.e. 400 - 190

=210

Hence, $210 does he have to spend after paying his bills.

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-3.5, -3, -2 1/2, -2, 2.5

Answer:

-3.5, -3, -2½, -2, 2.5

Step-by-step explanation:

hope you have a great day!

The solution of the inequalities is x > 6 or x < -4

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

8 – 6x < −28 or 9x + 5 < −31

collect like terms and solve for x in both inequalities:

For 8 – 6x < −28:

8 – 6x < −28

-6x < -28 - 8

-6x < -36

-x < -36/6

-x < -6

x > 6

For 9x + 5 < −31:

9x + 5 < −31

9x < -31 - 5

9x < -36

x < -36/9

x < -4

Thus, the solution is x > 6 or x < -4

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Answer:

12977.4 or just 12977

Step-by-step explanation:

The ordered pair from the scatter plot is given as follows:

(3, 14)

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

The point (Input, Output) is called an ordered pair.

From the text in this problem, the ordered pairs of the scatter plot are given as follows:

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The interval should be 12 hours and 25 minutes for the two high tides and two low tides.

What is interval ?

An interval refers to the amount of time it takes for a tide to go from high to low or low to high

The reason for two high tides and two low tides each day is due to the gravitational pull of the moon and the sun on Earth's oceans. These gravitational forces cause the water in the oceans to bulge, creating high tides. The gravitational pull of the moon is stronger than that of the sun, so the moon has a greater impact on tides.

The time it takes for the tide to go from high to low and back to high is called the tidal period, which is about 12 hours and 25 minutes. This is not exactly 24 hours because the Earth is also rotating on its axis, so the position of the Moon and the Sun relative to a specific location on the Earth's surface is constantly changing.

So, the interval should be 12 hours and 25 minutes for the two high tides and two low tides.

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The given expressions, when A=1, B=0, and C=1, X evaluates to 1.001; when A=B=C=1, X evaluates to 1.111; and when A=B=C=0, X evaluates to 0.000. These evaluations are based on the given values of A, B, and C, and the notation ¯¯¯¯¯¯BC represents the complement of BC.

To evaluate the expression X = A.¯¯¯¯¯¯BC, we substitute the given values of A, B, and C into the expression.

(a) For A = 1, B = 0, and C = 1:

X = 1.¯¯¯¯¯¯01

To find the complement of BC, we replace B = 0 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯01 = 1.¯¯¯¯¯¯00 = 1.001

(b) For A = B = C = 1:

X = 1.¯¯¯¯¯¯11

Similarly, we find the complement of BC by replacing B = 1 and C = 1 with their complements:

X = 1.¯¯¯¯¯¯11 = 1.¯¯¯¯¯¯00 = 1.111

(c) For A = B = C = 0:

X = 0.¯¯¯¯¯¯00

Again, we find the complement of BC by replacing B = 0 and C = 0 with their complements:

X = 0.¯¯¯¯¯¯00 = 0.¯¯¯¯¯¯11 = 0.000

In conclusion, when A = 1, B = 0, and C = 1, X evaluates to 1.001. When A = B = C = 1, X evaluates to 1.111. And when A = B = C = 0, X evaluates to 0.000. The evaluation of X is based on substituting the given values into the expression A.¯¯¯¯¯¯BC and finding the complement of BC in each case.

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The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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9514 1404 393

Answer:

  B.  45π cm^3

Step-by-step explanation:

The volume is given by ...

  V = 1/3πr^2h

where r is the radius (half the diameter) and h is the height. With the given numbers, we have ...

  V = (1/3)π(3 cm)^2(15 cm)

  V = 45π cm^3 . . . volume of each cup

Answer:

x=-1

y=-4

Step-by-step explanation:

x+3y=-7

2x-y=-7

make x the subject of the formula

x=-7-3y––––equation i

substitute for x in equation ii

2(-7-3y)-y=-7

-14-6y-y=-7

-7y=-7+14

-7y=7

divide both sides by -7

-7y/-7=7/-7

y=-1

substitute for y in equation i

x+3(-1)=-7

x=-7+3

x=--4

It is given that:

1) f(g(x)) will be:

2)The domain will be all real numbers except x=-4.

3)g(f(x)) will be:

4) The domain of g(f(x)) is:

5) f(f(x)) is given by:

6)The domain of f(f(x)) is:

7) g(g(x)) is calculated as:

8)The domain of g(g(x)) is:

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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Answer:

55% or 0.55 or 11/20

Step-by-step explanation:

probability the person chosen is an adult or child out of all

so 19+36/19+36+45

55/100

The probability that the selected person is not a teenager is \(\frac{11}{20}\).

Probability is a measure of happening or non happening of the outcomes of the random experiment.

P(E) = Total number favorable of outcomes/ Total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of adults in the audience = 19

Total number of teenagers in the audience = 45

Total number of children in the audience = 36

Total audience = 19 + 45 + 36 = 100

Now, the probability that the selected person is teenager = \(\frac{45}{100} = \frac{9}{20}\)

Therefore,

The probability that a selected person is not a teenager

= \(1 -\frac{9}{20}\)

= \(\frac{11}{20}\)

Hence, the probability that the selected person is not a teenager is \(\frac{11}{20}\).

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The failure of beta cells to function can result in a condition called diabetes mellitus.

Beta cells are specialized cells located in the pancreas that produce and release insulin. A hormone responsible for regulating blood sugar levels. When beta cells fail to function properly, it can lead to two main types of diabetes:

1. Type 1 Diabetes: In this autoimmune disease, the immune system mistakenly attacks and destroys the beta cells in the pancreas, resulting in little to no insulin production.

Without sufficient insulin, glucose (sugar) cannot enter the body's cells for energy, leading to high blood sugar levels.

2. Type 2 Diabetes: This form of diabetes is characterized by insulin resistance, where the body's cells become less responsive to the effects of insulin.

Over time, the beta cells may also fail to produce enough insulin to compensate for the increased demand. Type 2 diabetes is often associated with factors such as obesity, sedentary lifestyle, and genetic predisposition.

The failure of beta cells to function properly disrupts the normal regulation of blood sugar, leading to elevated glucose levels and potential complications associated with diabetes.

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Answer:

\(1.445 \times {10}^{3} \)

Step-by-step explanation:

\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)

Answer:

0.51

Step-by-step explanation:

okay I'm not good at explaining this but I'm going to try my best

put 0.15 on top of 0.36 like this

1

0.15

0.36

_____

0.51

5+6=11

3+2=5 I said 2 because 5+6=11 so you had to carry your 1

then you would just bring your 0 down cause everybody know 0+0=0 lol!

To determine the values of the constants a and b such that the line 2x + y = b is tangent to the parabola y = ax^2 at x = 2, we need to find the points of tangency between the line and the parabola.

First, let's substitute x = 2 into the equation of the parabola to find the corresponding y-coordinate:

\(y = a(2)^2\)

y = 4a

Now, substitute x = 2 into the equation of the line to find the corresponding y-coordinate:

2(2) + y = b

4 + y = b

y = b - 4

Since the line and the parabola are tangent at x = 2, their y-coordinates at this point should be equal. Therefore, we have:

4a = b - 4

Now, let's find the slope of the tangent line. The slope of the tangent line to the parabola at x = 2 is the derivative of the parabola's equation evaluated at x = 2:

y' = 2ax

y' = 2a(2)

y' = 4a

The slope of the line 2x + y = b is determined by rearranging the equation in slope-intercept form:

y = -2x + b

Comparing the slopes, we have:

4a = -2

Now we can solve for a:

4a = -2

a = -2/4

a = -1/2

Substituting the value of a into the equation 4a = b - 4, we can find b:

4(-1/2) = b - 4

-2 = b - 4

b = -2 + 4

b = 2

Therefore, for the line 2x + y = b to be tangent to the parabola y = ax^2 at x = 2, the values of the constants are a = -1/2 and b = 2.

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Answer:

-8/5

Step-by-step explanation:

hope it helps!

The given probability of having six girls in a six-child family is 0.015625. To determine the method used to compute this probability, we need to analyze the information provided.

The Classical method is based on theoretical assumptions and probabilities calculated using mathematical principles. It assumes equally likely outcomes and relies on counting favorable outcomes over the total number of possible outcomes.

The Empirical method involves gathering data from observations or experiments to estimate probabilities. It relies on observed frequencies and relative frequencies to compute probabilities. However, the given probability does not suggest a sample or data collection, making it unlikely that the Empirical method was used.

The Subjective method involves assigning probabilities based on personal judgment or opinions. Individuals subjectively evaluate the likelihood of an event based on their own beliefs or knowledge.

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The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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Answer:

x = -6

Step-by-step explanation:

Draw each interval on the real line.

From the figure, the intersection of the intervals is the common interval to both and the union is the interval in either of them or in both.

The joint probability distribution for random variables x and y is given as follows: p(x = 0, y = 0) = 1/3, p(x = 0, y = 1) = 1/6, p(x = 1, y = 0) = 1/4, and p(x = 1, y = 1) = 1/4.

A joint probability distribution represents the probability of different outcomes occurring for multiple random variables. In this case, we have two random variables, x and y, with their respective outcomes (0 or 1). The joint probability distribution provides the probabilities for each combination of x and y.

According to the given distribution, the probability of x = 0 and y = 0 is 1/3, which means there is a 1/3 chance of both x and y being 0 simultaneously. Similarly, the probability of x = 0 and y = 1 is 1/6, indicating a 1/6 chance of x being 0 and y being 1. The probabilities for x = 1 and y = 0, and x = 1 and y = 1 are 1/4 each, showing equal likelihood for both combinations.

By specifying the joint probability distribution, we can analyze the relationship between the two random variables and calculate other relevant probabilities or statistical measures based on this distribution.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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uegduwgehegsbeuehjeeieie

Answer:y=x-2

Step-by-step explanation:

The given statement "Using p-value rule for a population proportion or mean, if the level of significance is less than p-value, null hypothesis is rejected." is True because the hypothesis is rejected in this case.

In hypothesis testing, the p-value is the probability of observing a test statistic as extreme as, or more extreme than, the observed test statistic, assuming that the null hypothesis is true. The level of significance, denoted by alpha, is the maximum probability of rejecting the null hypothesis when it is actually true.

If the p-value is less than the level of significance, it means that the observed test statistic is unlikely to have occurred by chance alone, assuming the null hypothesis is true. Therefore, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.

For example, suppose we are testing the hypothesis that the population mean is equal to a certain value. If the p-value is 0.02 and the level of significance is 0.05, we would reject the null hypothesis because the p-value is less than the level of significance.

This means that there is strong evidence against the null hypothesis and we can conclude that the population mean is likely different from the hypothesized value.

In summary, if the level of significance is less than the p-value, we reject the null hypothesis in favor of the alternative hypothesis at the given level of significance.

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