I don’t get it. I just came from a vacation

There are 4096 functions from a set with 4 elements to a set with 8 elements.

To find the number of functions from one set to another, we use the formula:

Number of functions = (Number of elements in the codomain)Number of elements in the domain

In this case, the domain is the set with 4 elements and the codomain is the set with 8 elements. Plugging in these values into the formula, we get:

Number of functions = 84

Number of functions = 4096

Therefore, there are 4096 functions from a set with 4 elements to a set with 8 elements.

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The expression of the perimeter of the right triangle is 12a³

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore , if the three sides of a triangle is represented by a, b,c then the perimeter = a+b+c.

The hypotenuse of the triangle =

√(3a³)² + 4a³)²

= √ 9a⁶+16a⁶

= √ 25a⁶

= 5 a³

therefore the perimeter of the triangle =

5a³ + 3a³ + 4a³

= 12a³

therefore the perimeter of the triangle is 12a³

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Answer:

20/27

Step-by-step explanation:

Cos( 30 ) = 19√3 / x

√3 / 2 = 19√3 / x

Simplify √3 from both sides

1 / 2 = 19 / x

Multiply both sides by x

1 /2 × x = 19 / x × x

x / 2 = 19

Multiply both sides by 2

x / 2 × 2 = 19 × 2

x = 38

_____________________________

Sin( 30 ) = y / x

1 / 2 = y / 38

Multiply both sides by 38

38 × 1 / 2 = 38 × y / 38

38 / 2 = y

19 = y

y = 19

Answer:

64 degrees is the answer

Answer:

\(27^{\frac{1}{5} }\) = \(\sqrt[5]{27}\)

\(\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4\)

\(a^{\frac{b}{c} } = \sqrt[c]{a^{b} }\)

\(\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25\)

\(\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}\)

Step-by-step explanation:

\(\huge\begin{array}{ccc}y=-\dfrac{3}{2}x+3\end{array}\)

The "point-slope" form of the equation of a straight line:

POINTS:

\((x_1,\ y_1),\ (x_2,\ y_2)\)

EQUATION:

\(y-y_1=m(x-x_1)\)

where

SLOPE:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points whose coordinates can be read from the graph:

\((0,\ 3),\ (2,\ 0)\)

Substitute:

\(m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-\dfrac{3}{2}\\\\y-3=-\dfrac{3}{2}(x-0)\\\\y-3=-\dfrac{3}{2}x\)

add 3 to both sides

\(y-3+3=-\dfrac{3}{2}x+3}\\\\\boxed{y=-\dfrac{3}{2}x+3}\)

Answer:

4/3

Step-by-step explanation:

encontrar el mínimo común denominadorienes para que sea mas facil

5/3+17/51-14/21 es 5/3 + 1/3 -2/3 cuando todos son igual de los denominados.

Ahora escribi todos los 3 numeros que iguale lo mismo denominador

5+1-2/3

Ahora solo hace el mas y menos y esta listo

4/3 es lo que pasa cuando haces las operaciones.

Answer:

I am almost positive it is 0

This integral is quite complex and does not have an analytical solution is 2pi ∫\(0^2\) \(e^{-r sin(\theta)\)) r (1 - 2\(r^2\)\(cos^{2}(\theta)\) (2\(-r^2\)) dr dtheta

To evaluate the triple integral of e^(x-y) over the region enclosed by the surfaces z=\(x^2-1, z=1-x^2, y=0,\) and y=8, we will use the cylindrical coordinates since the region is symmetric about the z-axis.

In cylindrical coordinates, we have:

x = r cos(theta)

y = r sin(theta)

z = z

The limits of integration for r, theta, and z are as follows:

0 <= r <= 2

0 <= theta <= 2pi

\(x^2\)-1 <= z <= 1-\(x^2\)

Substituting the cylindrical coordinates into the integral, we get:

∫∫∫ e^(x-y) dv = ∫∫∫ \(e^{(r cos(\theta) - r sin(\theta))\)r dz dr dtheta

Now, we need to determine the limits of integration for z in terms of r. Solving for z in the two equations that define the boundaries of the region, we get:

z =\(x^2\)- 1 -> z = \(r^2\)\(cos^2(\theta)\) - 1

z = 1 - \(x^2\) -> z = 1 - \(r^2\) \(cos^2(\theta)\))

Thus, the limits of integration for z become:

\(r^2 cos^2\)(theta) - 1 <= z <= 1 -\(r^2\) \(cos^2(\theta)\)

Substituting these limits into the integral and performing the integrations, we get:

∫∫∫ \(e^{r cos(\theta)\) - r sin(theta)) r (1 - \(r^2\) \(cos^2(\theta)\)) - \(r^2\) \(cos^2(\theta))\) dz dr dtheta

= ∫\(0^8\)∫\(0^2\)pi ∫\(0^2\) \(e^{r cos(\theta)\) - r sin(theta)) r (1 - 2\(r^2\) \(cos^2(\theta))\)dz dr dtheta

= 2pi ∫\(0^2\) \(e^{-r sin(\theta))\)r (1 - 2\(r^2\) \(cos^2(\theta))\) (2-\(r^2\)) dr dtheta

This integral is quite complex and does not have an analytical solution. Therefore, we need to evaluate it numerically using a computer or calculator.

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The measure of the angle 15° 20'' in to sexagesimal seconds is 54020''.

Given angle measure is,

15° 20''

This can be read as 15 degrees and 20 seconds.

We have to convert 15 degrees to seconds first.

We know that,

1 degree = 60 minutes = 60'

1 minute = 60 seconds = 60''

So,

1 degree = 60 × 60 = 3600''

So,

15 degrees = 15 × 3600'' = 54,000''

Total seconds = 54000 + 20 = 54020''

Hence the measure in sexagesimal seconds is 54020''.

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Answer:

Step-by-step explanation:

Given,

Line BT is the bisector of <ABC

So,

3x + 13 = 5x - 7

=> 13 + 7 = 5x - 3x

=> 20 = 2x

\( = > x = \frac{20}{2} \)

=> x = 10

As,

We got the value of x = 10

Therefore,

<ABT = 3x + 13 °

= 3×10 + 13 °

= 30 + 13°

= 43°

<TBC = 5x - 7°

= 5 × 10 - 7°

= 50 - 7°

= 43°

Hence,

Value of <ABT = 43° and value of <TBC = 43° (Ans)

The margin of error for a 95% confidence interval for this specimen is 0.008 grams. Then the 95% confident specimen's true weight is 0.008 grams of the sample mean of 4.53 grams.

To find the margin of error for a 95% confidence interval, we need to determine the standard error of the mean. The  standard error of the mean formula can be written as:

SE = σ/√n

where:

SE = standard error of the mean,

σ = the standard deviation of the population

n = the sample size.

the standard deviation of the laboratory = 0.005

sample size = 4.

calculating the standard error of the mean:

SE = 0.005/√4

= 0.0025

Next, we need to find the critical value for a 95% confidence interval. the sample size is small (n < 30), then we need to use a t-distribution.

Critical value = 3.182.

The formula for calculating the margin of error is:

ME = t*SE

where :

ME = margin of error

t = critical value = 3.182.

SE = standard error of the mean = 0.0025

By substuting the values, we get:

ME = t*SE

= 3.182*0.0025

= 0.008 grams

Therefore, the margin of error for a 95% confidence interval for this specimen is 0.008 grams. Then the 95% confident specimen's true weight is 0.008 grams of the sample mean of 4.53 grams.

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Answer:

28:32

Step-by-step explanation:

The probability that the answerof the 1st question is correct is 1/15.

So, the probability of the correct answer:

Probability formula: P = Favourable events/Total events

Where total events are 15 and favorable event is 1.

Now calculate as follows:

Therefore, the probability that the answerof the 1st question is correct is 1/15.

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Variance and Standard deviation can tell us the variation of data within a group of samples.

What is a variance?

Variance is a term used in probability theory and statistics to measure how far a group of numbers are spread out from their mean value.

In the context of hypothesis testing, the variance of two groups of data is compared to see if they are statistically significant.

A smaller variance indicates that the data points are closer together, whereas a larger variance indicates that the data points are farther apart.

What is Standard deviation?

The standard deviation is the square root of the variance, and it is used to express the average distance that data points deviate from the mean in a group of samples.

It is used in statistics to measure how tightly a set of data is clustered around its mean.

What is Mean?

The average value of a group of numbers is referred to as the mean.

It is calculated by adding all of the numbers together and then dividing by the total number of numbers.

What is T-value?

The t-value is used to test the null hypothesis, which states that there is no significant difference between two groups of data.

The t-value is calculated by subtracting the mean of one group from the mean of the other group and then dividing by the standard deviation of the two groups combined.

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Answer:

1/2

Step-by-step explanation:

There are 6 numbers and the chances of rolling a 1, 2 , or 3 is 3/6.

3/6 simplifies to 1/2

Answer:

The domain of a function represents the set of all possible input values, or independent variable, for which the function is defined. In this case, the function h(t) represents the height of Martin's rocket in feet at time t seconds after launch.

Since the rocket can't have negative time values, the domain of the function is all non-negative real numbers, or

t ≥ 0

Therefore, the values for the domain of this height function are:

Domain: [0, ∞) or 0 ≤ t < ∞

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The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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Step-by-step explanation:

a = 33

b = 5

= a - 20/b

= 33 - 20/5

= 33 - 4

= 29

Answer:

23/100

9/25

1/25

1/100

99/100

Step-by-step explanation:

Converted to fractions over 100 and found GCF of denominator and percentage

Answers: 23/100, 36/100, 4/100, 1/100, 99/100.

Below is the picture attached for the five vectors in span {bold v1 v1, bold v2 v2}.

Given a subspace S, every basis of S contains the same number of vectors; this number is the dimension of the subspace. To find a basis for the span of a set of vectors, write the vectors as rows of a matrix and then row reduce the matrix. The span of the rows of a matrix is called the row space of the matrix.

Then any linear combination of all three vectors is also a linear combination of the first two, so the span of all three is the same as the span of the first two, i.e. it is the set of all vectors in the plane. Case 3: no plane contains all three vectors. (So the vectors are all 3-space vectors.)

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The significance level is set at 5%, and the probability of the result is 0%, which is less than the significance level. The result is statistically significant.

We are given that;

The probability of the result=(7.7/9.2/4.6/5/7.8)%

Now,

To determine the probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more, we need to find the difference between the two sample means and compare it to the standard error of the difference. The standard error of the difference can be estimated using the formula:

SE = √(s1^2 / n1) + (s2^2 / n2)

where s1 and s2 are the sample standard deviations and n1 and n2 are the sample sizes.

Assuming that the treatment group is group 1 and the control group is group 2, we can plug in the values given in the question:

SE = √(9.2^2 / 30) + (7.7^2 / 30)

SE = √3.02

SE = 1.74

The difference between the two sample means is:

x1 - x2 = 85 - 100

x1 - x2 = -15

To find the probability of this difference or lower, we need to find the z-score and use a normal distribution table or calculator3:

z = (x1 - x2) / SE

z = (-15) / 1.74

z = -8.62

Using a normal distribution table or calculator, we can find that P(z ≤ -8.62) ≈ 0, which means that the probability of the treatment group’s mean being lower than the control group’s mean by 15 points or more is very close to zero.

Therefore, by probability the answer will be statistically significant.

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Yeah... they should.

Answer:

X^2 - 3

Is the answer

Step-by-step explanation:

Use a^2 - b^2 = ( a - b) (a + b)

a = x

b =

\(b = \sqrt{3} \)

Answer:

Step-by-step explanation:

lets remember this first, negative minus positive

keep change flip, this now becomes negative plus negative

-3/2 is 1 1/2 (negative), and then we add the 4 7/8 (negative)

add them together you get 6 and 3/8 POSITIVE because negative plus

negative always is positive.

An appropriate assignment of digits to carry out the simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time when a shipping company claims that 95% of packages are delivered on time is

01 - 05 = Packages delivered not on time

06 - 100 = Packages delivered on time

Random numbers are numbers selected from a set of limited or unlimited numbers without a particular pattern for prediction. In this case the student can generate random numbers from a limited pool of digits from 1 to 100 using any random number generator like excel.

Given that 95% of packages are delivered on time. Based on this statement we can assign that 95% of these generated random numbers represent packages delivered on time, here that is 06 - 100.

Hence random numbers from 01 - 05, the 5% of generated random numbers represents the packages not delivered on time.

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Answer:

yes the ordered pair is a solution

Step-by-step explanation:

(x, y) = (0,0)

y < -x + 3

0 < - (0) + 3  

0 < 3

true, ordered pair is a solution

Answer:12+13+2=27

Step-by-step explanation: pretty self-explanatory