The number of miles john ran are 10,11,17,20,16,14,14 and 23. Which statistical measure should john use to determine how much he improved.Find the measure

Answer: 25 units

Step-by-step explanation:

distance with negatives is still an addition but you have to turn the negative into a positive to get the answer.

The total number of different choices for the representative is 114

The number of choices for the representative to the university committee is the sum of the number of CS faculty members and the number of CS majors who are not faculty members.

Since no one can be both a faculty member and a student.

The number of choices for a faculty member is simply the number of members of the CS faculty, which is 9.

The number of choices for a CS major who is not a faculty member can be calculated by subtracting the number of CS faculty members from the total number of CS majors: 114 - 9 = 105.

Therefore, the total number of different choices for the representative is:

9 + 105 = 114

So there are 114 different choices for the representative to the university committee.

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Let's start by finding the length of one edge of the original cube.

The surface area of a cube can be expressed as 6s^2, where s is the length of one edge.

So we have:

6s^2 = 2400

Solving for s, we get:

s = sqrt(2400/6)

s = 20

Therefore, the original cube has an edge length of 20 cm.

To find the volume of the similar box enlarged by a scale factor of 1.5, we need to multiply the volume of the original cube by (1.5)^3, since the scale factor applies to all three dimensions (length, width, and height).

The volume of the original cube is:

V = s^3 = 20^3 = 8000 cm³

So the volume of the similar box is:

V' = V x (1.5)^3 = 8000 x 1.5^3 = 8000 x 3.375 = 27000 cm³

Therefore, the volume of the similar box enlarged by a scale factor of 1.5 is 27,000 cm³.

Answer:

I would say a 20, 30-ish degree angle, maybe 45 degrees, somewhere in that continuum

Meiosis is comparable to flipping thousands of coins and acquiring one gene for each head or tail result (one allele).

Sexual reproduction involves a significant amount of chance in how genes are passed down. Meiosis is the process through which homologous chromosomes split and go to distinct poles. Each gene in the haploid daughter cells has one allele, but the specific allele that each cell possesses is random. Meiosis can be compared to flipping thousands of coins and getting either a head or a tail (one allele) for each one. Each parent at a single locus has a 50% chance of passing either a head or a tail. Every allele in a population should be transmitted proportionally to its frequency.

In other words, if 10% of a population's alleles are allele A, then 10% of the gametes should also have allele A. Results, particularly for small sample sizes, don't always follow probability, though. The outcome of one coin flip does not affect the outcome of the following coin flip. It is not improbable that a coin will come up heads or tails after being flipped twice. It is extremely unlikely that 10 coin flips will produce 10 heads or 10 tails.

And since it is highly unlikely that all 100 flips of the coin will result in heads (or tails), it can be viewed as impossible. In a small population, random chance can also quickly and significantly alter the frequency of alleles. Genetic drift only has a very little impact on a generation at a time in a huge population. To check your understanding of the idea, watch the animation below and then answer the questions.

The complete question is:

Why is genetic drift a more powerful force in small populations?

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A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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For an ordered pairs to represent a function, It should not show one-to-many relation in the pairs. The answer is  {(-4, 6), (-1, 5), (3, −5), (9,6)} represents a function.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

The entire range of independent variable values is the domain of a function.

The set of all potential values that the function will return when the domain is provided as input is the definition of range.

{(-1,-8), (-7, -9), (-1,-6), (0, -7)} in this option, -1 is mapped to both -8 and -6, Which shows one-to-many relation. So, It is not a function.

{(2,7), (4,4), (2, 3), (9, -1)} in this option, 2 is mapped to both 7 and 3, Which shows one-to-many relation. So, It is not a function.

{(-4,-4), (-4, 9), (6, -2), (-9,-6)}  in this option, -4 is mapped to both -4 and 9, Which shows one-to-many relation. So, It is not a function.

{(-4, 6), (-1, 5), (3, −5), (9,6)} in this option, There are no one-to-many relations. So, It is a function.

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For an ordered pairs to represent a function, It should not show one-to-many relation in the pairs. The answer is {(-4, 6), (-1, 5), (3, −5), (9,6)} represents a function.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

What are domain and range?

The entire range of independent variable values is the domain of a function.

The set of all potential values that the function will return when the domain is provided as input is the definition of range.

{(-1,-8), (-7, -9), (-1,-6), (0, -7)} in this option, -1 is mapped to both -8 and -6, Which shows one-to-many relation. So, It is not a function.

{(2,7), (4,4), (2, 3), (9, -1)} in this option, 2 is mapped to both 7 and 3, Which shows one-to-many relation. So, It is not a function.

{(-4,-4), (-4, 9), (6, -2), (-9,-6)}  in this option, -4 is mapped to both -4 and 9, Which shows one-to-many relation. So, It is not a function.

{(-4, 6), (-1, 5), (3, −5), (9,6)} in this option, There are no one-to-many relations. So, It is a function.

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The conditions necessary for genetic drift to influence the allele frequency of an allele are:  [X] The population size is finite,[X] There is more than one allele in the population etc.

[X] The population size is finite. That is, there are a fixed, non-infinite number of individuals in the population.

[X] There is more than one allele in the population. Genetic drift occurs when there is variation in allele frequencies. If there is only one allele present, genetic drift cannot occur.

[ X] The allele undergoing drift shows incomplete dominance when producing a phenotype. Incomplete dominance is not a requirement for genetic drift to occur. Genetic drift can influence allele frequency regardless of the inheritance pattern.

[X] Ongoing mutation is necessary for genetic drift to occur. Mutation introduces new alleles into the population, contributing to genetic variation and allowing genetic drift to take place.

[X] There must not be any natural selection on the trait in question. If the trait is under selection, natural selection will dominate over genetic drift and determine the allele frequency.

[X] There must be migration into the population. Genetic drift refers to the random changes in allele frequency due to the "drift" of individuals into and out of the population. Migration introduces new alleles and can influence allele frequencies through genetic drift.

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 (a)the expected value of \(e^(3Y/2)\) does not exist.

The mean of Y does not exist. Therefore, we cannot compute the variance of Y.

a. To find\(E(e^(3Y/2)),\) we need to use the definition of the expected value for a continuous random variable:

E(e^(3Y/2)) = ∫ e^(3y/2) f(y) dy

where f(y) is the given density function. Since f(y) is only non-zero for y > 0, we can restrict our integration to that region:

E(e^(3Y/2)) = ∫ e^(3y/2) ey dy , from 0 to infinity

= ∫_0^∞ e^(5y/2) dy

= (2/5) * e^(5y/2) | from 0 to ∞

= (2/5) * ∞ = ∞

So the expected value of \(e^(3Y/2)\) does not exist.

b. To find the moment generating function for Y, we use the definition:

M(t) = E(e^(tY)) = ∫ e^(ty) f(y) dy

where f(y) is the given density function. For y < 0, f(y) is zero, so we can restrict our integration to the range y ≥ 0:

M(t) = ∫\(_0^∞ e^(ty) ey dy\)

= ∫\(_0^∞ e^((t+1)y) dy\)

= (1/(t+1)) * e^((t+1)y) | from 0 to ∞

= 1/(t+1) * ∞ = ∞ for t < -1

and

M(t) = ∫\(_0^∞ e^(ty) y dy\)

= e^(ty) * y / t | from 0 to ∞

= ∞ for t ≥ 1

Therefore, the moment generating function exists only for -1 < t < 1, and is given by:

M(t) = 1/(t+1) for -1 < t < 1.

c. To find the variance of Y, we first need to find the mean or expected value of Y:

E(Y) = ∫ y f(y) dy

= ∫\(_0^∞ y^2 dy\)

= ∞

So the mean of Y does not exist. Therefore, we cannot compute the variance of Y.

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\(\stackrel{mixed}{7\frac{7}{10}}\implies \cfrac{7\cdot 10+7}{10}\implies \stackrel{improper}{\cfrac{77}{10}}\)

Answer: The answer is A

Step-by-step explanation:

If you add all of the q's together then it equals 3q and if you add the p's together then it makes 2p and those are not like terms so its 2p+3q

Answer: A

Step-by-step explanation: because it has 2 p it means that whatever number p is times 2 because there is two. of the same with the q there is 3 q's so whatever number q is times 3 because there is 3 of them

Answer:  - 3/2

Step-by-step explanation:

The rate of change is the same as the slope.

To find the slope, find the change in the y coordinates of both point and divide it by the change in the x coordinates.

y coordinates:  2 and 8

x coordinates:  7 and 3

2 - 8 = -6

7 - 3 = 4  

Slope :  -6/4 =  - 3/2

Answer:

Step-by-step explanation:

1) Let width = x

One side of the rectangle is covered by river. So only, 3 sides to be covered.

length = 100 - ( x + x) = 100 - 2x

Area of rectangle = length *width

                              =  (100 - 2x)*x

f(x) = 100x - 2x^{2}

\(2)f(x) =2x+1\\\\f(1.5)=2*1.5+1=3+1=4\\\\3)g(x)=x^{2}-2x+2\\\\g(1.5)=1.5^{2}-2*1.5+2\\\\=2.25-3+2\\\\=1.25\\\\4)g(x)=\sqrt{x+1}\\\\g(1.5)=\sqrt{1.5+1}=\sqrt{2.5}=1.58\\\\5)r(x)=\dfrac{2x+1}{x-1}\\\\r(1.5)=\dfrac{2*1.5+1}{1.5-1}\\\\=\dfrac{3+1}{0.5}\\\\=\dfrac{4}{0.5}\\\\=\dfrac{4*10}{0.5*10}\\\\=\dfrac{40}{5}\\\\=8\)

Answer:THe answer is 98.78x

Step-by-step explanation:

2r34 means 567

Answer:

1.2 sq in.

Step-by-step explanation:

We know the formula to find the area of a trapezoid is a+b/2(h)

4+8/2(5)=12/10

12/10=1.2

Therefore the area is 1.2 sq in.

Answer:

36.25 square units

Step-by-step explanation:

In order to find the shaded area it is just the bigger square taking away the smaller square. This is simply because of the fact that if the bigger square was all shaded then you add in a smaller square the shaded region is the whole thing not including the smaller square. Then if you were to solve for it you would do 8.5 * 8.5 as that is the area of the square. This would equal to 72.25 then you would want to take away the smaller square. The smaller square area is 6 * 6 which is squal to 36. Then to find the area of the shaded region all you do is bigger square take away smaller square which is 72.25-36 which is equal to 36.25.

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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The first two arguments of the "solve" function are the equations to solve, and the last two arguments are the variables to solve for.

To find all the stationary solutions of the given system of nonlinear differential equations using MATLAB, we need to solve for the values of x and y such that dx/dt = 0 and dy/dt = 0. Here's how to do it:

Define the symbolic variables x and y:

syms x y

Define the system of nonlinear differential equations:

dx = (1-4)(2-2y);

dy = (2+x)(x-2y);

Find the stationary solutions by solving the system of equations dx/dt = 0 and dy/dt = 0 simultaneously:

sol = solve(dx == 0, dy == 0, x, y)

sol =

x = 4/3

y = 1/3

x = -2

y = -1

x = 2

y = 1

The stationary solutions are (x,y) = (4/3,1/3), (-2,-1), and (2,1).

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Answer:

00000

Step-by-step explanation:

please send the clear pic of the question

Answers:

===========================================

Explanation:

Triangle GJI and triangle PKH are similar triangles. The order of the letters is important because it tells us how the angles pair up.

The first letter of GJI is G, while the first letter of PKH is P. This means angles G and P pair up. They are congruent pair because similar triangles have congruent corresponding angles.

So,

G+P = 50

G+G = 50 .... plug in G = P

2G = 50

G = 50/2

G = 25

Both angle G and angle P are 25 degrees

Use angle I = 48 to help find angle J

G+J+I = 180

25+J+48 = 180

J+73 = 180

J = 180-73

J = 107

Angle J is 107 degrees

Since J and K are the second letters of GJI and PKH respectively, this means angle J = angle K = 107

Since I and H are the third letters of GJI and PKH respectively, we know that angle I = angle H = 48

------------------------

Summary:

Answer:

1)36

2)1/36

Step-by-step explanation:

Hope it can help you lovelots

The explicit solution to the initial value problem dy/dt = 2y with y(0) = 5/2 is given by: y = ±⁵/₂e²ᵗ

To find the explicit solution of the initial value problem dy/dt = 2y with y(0) = 5/2, separate the variables and integrate both sides.

Starting with the differential equation:

dy/dt = 2y

Rewrite it as:

dy/y = 2dt

Now, we integrate both sides with respect to their respective variables:

∫ dy/y = ∫ 2dt

The integral of dy/y can be evaluated as the natural logarithm of the absolute value of y, while the integral of 2 dt is simply 2t:

ln |y| = 2t + C

Here, C is the constant of integration.

To determine the value of the constant C, we can use the initial condition y(0) = ⁵/₂. Substituting t = 0 and y = ⁵/₂ into the equation above:

ln |⁵/₂| = 2(0) + C

ln |⁵/₂| = C

Thus, we have the value of C as ln |⁵/₂|.

Substituting this value back into the equation:

ln |y| = 2t + ln |⁵/₂|

To eliminate the natural logarithm, we can take the exponential of both sides:

|y| = e²ᵗ + ln |⁵/₂|

Since |y| represents the absolute value of y, write it as:

|y| = ⁵/₂e²ᵗ

To simplify further, we can remove the absolute value by considering both positive and negative values of y:

y = ±⁵/₂e²ᵗ

Therefore, the explicit solution to the initial value problem dy/dt = 2y with y(0) = 5/2 is given by: y = ±⁵/₂e²ᵗ

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Answer:

you will need to subtract 15% from $12 and get 10.20 now times that by 5 and you will get $51.

Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.

Let's denote the events as follows:

A: It will rain

B: The flight will be delayed

We are given the following probabilities:

P(A) = 0.11 (probability of rain)

P(B) = 0.14 (probability of flight delay)

P(A'∩B') = 0.76 (probability of no rain and on-time departure)

We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.

We know that:

P(B|A) = P(A∩B) / P(A)

To find P(A∩B), we can use the formula:

P(A∩B) = P(A) - P(A'∩B')

Substituting the given values:

P(A∩B) = P(A) - P(A'∩B')

P(A∩B) = 0.11 - 0.76

P(A∩B) = -0.65

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

From the question it is given that:

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.

Find the required inequality:

From the question it is given that:

speed of sound is approximately 1225 km/hr

a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom

From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.

This clearly means that sonic booms are produced when s is greater that s

There are three possible situations in the given scenario:

Speed of light can be less than 1225 km/hr ⇒  s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)

s = 1225 km/hr  ⇒ no sonic boom is created (assumption is wrong)

s > 1225 km/hr  ⇒ sonic boom is created (assumption is correct)

Since we are looking for the true equation of creation of sonic waves,

it would be only the last one (s > 1225 km/hr).

Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.

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Answer: the first one

Step-by-step explanation:

No constant rate of change

Answer:

Step-by-step explanation:

One row has 6 seats

3 rows have:

5 rows have:

A = 30

Answer:

\(\pmb{30 }\)

Step-by-step explanation:

According to the question,

1 row has 6 seats,.

3 rows=3×6=18 seats

5rows=5×6=30 seats

\(\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c}\boxed {\bf {Number ~of ~rows}} & \boxed {\bf {No ~of~ seats}} \\ \\ \text{1} & \sf{6}  \\ \text{3} &\sf{18} \\ \text{5}& \sf {30} \end {array}}}\end{gathered}\)

C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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Answer:

A=2πrh+2πr^2

Step-by-step explanation: