Question 3 A discrete random variable, X can take the values 2, 4, 6, 8 and 10 with the Probability distribution function as given below: X 2 4 6 8 10 P(X=x) Р P 9 9 q where p and q are constants. i.

Answer: 60 inches in 5 feet

Step-by-step explanation:

5X12=60

Answer:

a) w= 115°

b) x= 145°

c) y= 117°

d) z= 124°

e) x= 109°

f) x= 114°

g) x= 145°

h) x= 90°

i) x= 120°

j) x= 106°

angle sum of quadrilateral= 36

so, w= 360 - ( 100 + 75 + 70)

w= 360 - 245

w= 115°

angle sum of pentagon= 540°

so, x= 540 - ( 75 + 110 + 95 + 115)

x= 540 - 395

x= 145°

angle sum of hexagon= 720°

so, y= 720 - ( 100 + 125 + 140 + 121 + 117 )

y= 720 - 603

y= 117°

angle sum of heptagon= 900°

so, z= 900 - ( 125 + 138 + 138 + 133 + 137 + 105 )

z= 900 - 776

z= 124°

angle sum of hexagon= 720°

so, x= 720 - ( 124 + 140 + 129 + 95 + 123 )

x= 720 - 611

x= 109°

Research that provides data which can be expressed with numbers is called quantitative research.

Quantitative research is a type of research that focuses on gathering and analyzing numerical data. It involves collecting information or data that can be measured and quantified, such as numerical values, statistics, or counts. This research method aims to objectively study and understand phenomena by using mathematical and statistical techniques to analyze the data.

Quantitative research typically involves the use of structured surveys, experiments, observations, or existing data sources to gather information. Researchers often employ statistical methods to analyze the data and draw conclusions or make predictions based on the numerical findings.

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Answer:

Step-by-step explanation:

Acceleration is defined as the rate of change of velocity.

Velocity is a vector, which means it contains a magnitude (a numerical value) and a direction.

So the velocity can be changed either by changing the speed or by changing the direction of motion (or both).

Answer:

velocity

Step-by-step explanation:

The definition of acceleration is: Acceleration is a vector quantity that is defined as the rate at which an object changes its velocity. An object is accelerating if it is changing its velocity.

Answer:

-7

Step-by-step explanation:

y-intercept

x=0

y-3= -2x-10

y=2(0)-10+3

y=0-7

y= -7

(0;-7)

Answer:  

-7

Step-by-step explanation:

The real world situation that can be modelled with the given  expression can be modelled as shown below.

Given is the expression as -

D/3

A real world situation that can be modelled with this expression can be written as follows -

Amanda has a total of {D} bananas. She divides the bananas into 3 of her childrens equally. Write an expression that would represent the amount of bananas recieved by each of her child.

Therefore, the real world situation that can be modelled with the given  expression can be modelled as shown above.

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Answer:

\(x = -2\)

Step-by-step explanation:

Given

\(y=\frac{-3}{(x+2)^2}+3\)

\(y = - 3\)

\(y = 0\)

The question has confusing details because the height of a shape do not relate to the given parameters.

A more complete question found on the brainly shows that the complete question asks for the asymptote of the function.

To do this, we have:

\(y=\frac{-3}{(x+2)^2}+3\)

Take LCM

\(y = \frac{-3 + 3(x+2)^2}{(x+2)^2}\)

Equate the denominator to 0

\((x + 2)^2 = 0\)

Take square roots of both sides

\(x + 2 = 0\)

Solve for x

\(x = -2\)

Hence, the asymptote is at \(x = -2\)

Two different mathematical models that can be derived from the Fibonacci's rabbits problem are the recursive model and the matrix model.

The recursive model assumes that the rabbits reproduce at a constant rate and that each pair of rabbits needs a month to mature before they can reproduce. The model can be represented by the recursive formula Fn = Fn-1 + Fn-2, where Fn represents the number of rabbits at month n and Fn-1 and Fn-2 represent the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that rabbits can breed indefinitely without any constraints, and it only considers the number of rabbits at each month.

The matrix model, on the other hand, assumes that the rabbits reproduce at a constant rate, but it takes into account the constraint of limited resources, such as food and space. This model is represented by a matrix equation of the form [Fn Fn-1] = [Fn-1 Fn-2][1 1; 1 0], where [Fn Fn-1] represents a vector of the number of rabbits at months n and n-1, and [Fn-1 Fn-2] represents the matrix of the number of rabbits at months n-1 and n-2, respectively. This model is based on the assumption that the growth of the rabbit population is limited by the available resources, and it considers the number of rabbits and the resources at each month.

Both models were derived from the same verbal problem of Fibonacci's rabbits, but they made different assumptions about the growth and constraints of the rabbit population. The recursive model assumes that rabbits can breed indefinitely without any constraints, while the matrix model takes into account the constraints of limited resources. These different assumptions resulted in two different mathematical formulations that provide different insights into the growth and constraints of the rabbit population.

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The mean number of adults who have hypertension in a sample of 25 adults is 8.75, assuming the national survey-reported percentage of adults with hypertension (35%) applies to the sample.

The mean number of adults who have hypertension in the sample of 25 can be calculated by multiplying the sample size (25) by the population proportion (0.35). Mathematically,

Mean = n * p = 25 * 0.35 = 8.75

Therefore, the mean number of adults who have hypertension in the sample is 8.75. Note that this is an expected value and there may be variability around this mean in different samples.

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Given that:

Total number of fish = 140

Fish are green swordtails female = 44

Fish are green swordtails male = 36

Fish are orange swordtails female = 36

Fish are orange swordtails male = 24

Solution:

A. We have to find the probability that the selected fish is a green swordtail.

\(\text{P(green swordtail)}=\dfrac{\text{Total green swordtail fish}}{\text{Total fish}}\)

\(\text{P(green swordtail)}=\dfrac{80}{140}\)

\(\text{P(green swordtail)}=\dfrac{4}{7}\)

Therefore, the probability that the selected fish is a green swordtail is \(\dfrac{4}{7}.\)

B.  We have to find the probability that the selected fish is male.

\(\text{P(Male fish)}=\dfrac{\text{Total male fish}}{\text{Total fish}}\)

\(\text{P(Male fish)}=\dfrac{36+24}{140}\)

\(\text{P(Male fish)}=\dfrac{60}{140}\)

\(\text{P(Male fish)}=\dfrac{3}{7}\)

Therefore, the probability that the selected fish is a male, is \(\dfrac{3}{7}.\)

C. We have to find the probability that the selected fish is a male green swordtail.

\(\text{P(Male green swordtail)}=\dfrac{\text{Total male green swordtail fish}}{\text{Total fish}}\)

\(\text{P(Male green swordtail)}=\dfrac{36}{140}\)

\(\text{P(Male green swordtail)}=\dfrac{9}{35}\)

Therefore, probability that the selected fish is a male green swordtail is \(\dfrac{9}{35}.\)

D.

We have to find the probability that the selected fish is either a male or a green swordtail.

\(\text{P(Male or green swordtail)}=\dfrac{\text{Total male or green swordtail fish}}{\text{Total fish}}\)

\(\text{P(Male or green swordtail)}=\dfrac{44+36+24}{140}\)

\(\text{P(Male or green swordtail)}=\dfrac{96}{140}\)

\(\text{P(Male or green swordtail)}=\dfrac{24}{35}\)

Therefore, the probability the selected fish is either a male or a green swordtail is \(\dfrac{24}{35}.\)

Answer:

he can rolled upto 70 times when he roled in 35 time

At a false discovery rate of 0.01 (Q = 0.01), the tests with p-values less than or equal to 0.0058 are considered interesting. This includes the third and ninth tests.

   A false discovery rate (FDR) is the proportion of false discoveries among all discoveries made in statistical hypothesis testing. In this case, the FDR is set to 0.01 (Q = 0.01), which means that only 1% of the tests can be expected to be falsely identified as significant.

To determine which tests are interesting at a false discovery rate of 0.01, we need to compare the p-values obtained from the randomization tests in Statkey with the FDR threshold of 0.01. The tests with p-values less than or equal to the FDR threshold are considered significant.

In this case, the FDR threshold is 0.01, and the third and ninth tests have p-values of 0.0058 and 0.0036 respectively, which are less than or equal to the FDR threshold. Therefore, these two tests are considered interesting at a false discovery rate of 0.01.

The other tests have p-values that are greater than the FDR threshold and are therefore not considered interesting at this threshold. It is important to note that even though a test may not be interesting at a certain FDR threshold, it does not necessarily mean that the null hypothesis is true. It could be that the sample size is too small or the effect size is too small to detect a significant difference.

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Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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It is False that by adding the number of inner loops , we get the total number of iterations.

A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.

There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.

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Answer:

First you find the difference in temperature. Final temperature minus initial temperature. -43-17=-60 So for every 300m temp will minus 2C.

There's a difference of -60, how many -2 is in -60? So -60÷(-2)= 30. 30 times 300m = 9000m or 9km.

Answer:

620

Explanation:

When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

Calculation of the number of elk:

Since the population is 7,750.

The random sample is 50.

So here be like

= 620

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 620.

The probability of exactly 16 students having jobs in the sample is 0.204 and the probability of 16 or more students having jobs in the sample is 0.334.

Let X be the number of KSU students with jobs in a random sample of 20 students. Since each student in the sample can be either employed or not employed, X follows a binomial distribution with parameters n = 20 (the sample size) and p = 0.50 (the probability of a student having a job).

To find the probability of exactly 16 students having jobs in the sample, we can use the binomial probability mass function

P(X = 16) = (20 choose 16) * 0.5^16 * 0.5^(20-16) = 0.204

To find the probability of 16 or more students having jobs in the sample, we can use the cumulative distribution function

P(X ≥ 16) = 1 - P(X < 16) = 1 - ∑(i=0 to 15) (20 choose i) * 0.5^i * 0.5^(20-i) = 0.334

Based on the sample data, it appears that the proportion of KSU students with jobs is higher than the professor's conjectured value of 0.50. However, we cannot conclusively reject the professor's conjecture based on a single sample of 20 students.

We would need to conduct a hypothesis test with appropriate statistical significance level to determine if the difference between the sample proportion and the conjectured value is statistically significant or not.

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The component of the displacement vector are: Horizontal component = -75 m Vertical component = 129.9 m (approx)

Given that the superhero flew 150 m at an angle of 120° with respect to the positive x-axis. We need to find the components of displacement vector.

Let's consider the given figure: Here, AB represents the displacement vector. AC represents the horizontal component of displacement vector and BC represents the vertical component of displacement vector.

The horizontal component can be calculated as: AC = AB cos θ

Here, θ = 120° and AB = 150 mAC = 150 cos 120°AC = -75 m (Negative sign indicates that the displacement is in the negative direction of the x-axis)

The vertical component can be calculated as: BC = AB sin θHere, θ = 120° and AB = 150 mBC = 150 sin 120°BC = 129.9 m (Approx)

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Given information: A superhero flew 150 m at a 120-degree angle with respect to the positive x-axis. The x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

Components of displacement vector: The component of displacement vector with respect to the x-axis is called the x-component of displacement vector.

Similarly, the component of displacement vector with respect to the y-axis is called the y-component of displacement vector.

As per the given information, the angle of displacement vector is 120 degrees with respect to the positive x-axis.

So, the angle of the vector with respect to the negative x-axis is 180 - 120 = 60 degrees (supplementary angles).

Now, the horizontal component (x-component) of the vector is given by the product of the magnitude and the cosine of the angle with respect to the x-axis.

Let the x-component of displacement vector be x.

Then, x = 150 cos 60°

x = 75 m.

The vertical component (y-component) of the vector is given by the product of the magnitude and the sine of the angle with respect to the x-axis.

Let the y-component of displacement vector be y.

Then, y = 150 sin 60°

y = 129.9 m.

Therefore, the x-component of the displacement vector is 75 m and the y-component of the displacement vector is 129.9 m.

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Answer:

9

Step-by-step explanation:

1. Just input the x value with -180:

24 (+) -180 / 12 = answer

2. Follow PEMDAS to solve, which in this case division comes before addition:

24 + (-180 / 12)

24 + (-15)

3. Addition

24 + (-15) or 24 - 15

= 9

Therefore, 24 (+) -180 / 12 equals 9.

Answer:

5-n squared+3 squared

Step-by-step explanation:

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

(x/2) - (5/4)y = -[(2x/4) + (5/4)y] = -(1/4)[2x + (5/y)]

Step-by-step explanation: hope this helped please make me brainlest

Answer:

No because y repeats with a diffirent x i think

Step-by-step explanation:

If it doesn't bother you would you let me know if i was right?

Answer:

rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Rational numbers are numbers you can use in a ratio, basically things like negative/regular numbers, and fractions, decimals! Since you have a decimal negative number, it would be rational. It can't be Irrational because only numbers that are complicated

{ π, √10, and 1,271971910...)

A scientific observation must be reproducible (option a).

A scientific observation must be reproducible, meaning that the results can be consistently obtained by multiple researchers or through repeated experiments. Reproducibility is a fundamental principle of scientific research as it allows for independent verification and validation of observations.

It ensures that the observed phenomenon or data is not a chance occurrence or influenced by individual biases. By reproducing the observation, scientists can establish the reliability and robustness of the findings. The correct option is a.

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Thus, the correct Percent response is B) 79%.

Percentage refers to a portion of every hundred. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, it is frequently shown using the percent sign, "%".

If you have 100 apples and distribute 10 of them, for instance, you have distributed 10% of your total apple supply.

We deduct Ms. Yamato's deductions from her gross income to determine her take-home pay:

$2644 - $548.30 = $2095.702.

By dividing her take-home pay by her gross pay and multiplying the result by 100%, we can determine what proportion of her gross pay is taken home:

($2095.70 / $2644) * 100% = 79%

Thus, the correct response is B) 79%.

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To convert millicoulomb (mC) to coulomb (C) divide C by 1000.

What is electric charge?

Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in an electric and magnetic field.

Protons and electrons are the most prevalent charge carriers for the positive and negative forms of electric charges, respectively.

The coulomb is used to measure electric charge.

"The amount of charge transported in one coulomb in one second."

The definition of a coulomb is expressed mathematically as -

Q = I · t

In the equation, Q is the electric charge, I is the electric current and t is the time.

1 coulomb of charge consists of 1000 millicoulomb charge.

To convert millicoulomb to coulomb use the formula -

mC = C/1000

So, 1 Millicoulomb [mC] = 0.001 Coulomb [C].

Therefore the value of 1 mC is 0.001 C.

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