write a function that will standardize a multivariate normal sample for arbitrary n and d. that is, transform the sample so that the sample mean vector is zero and sample covariance is the identity matrix. to check your results, generate multivariate normal samples and print the sample mean vector and covariance matrix before and after standardization.

The required probability for three numbers rolled on the dice are the sides of a triangle is 31/36.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability.

Here,

When three dice are rolled, there are 63=216 possible outcomes, or triplets (x, y, z).

Once more, in a triangle, any two sides added together are larger than the third side, or (x+y)>z.

As a result, 186 outcomes or triplets are possible and satisfy this property.

Hence, the required probability is 186/216=31/36.

The required probability is 31/36 for three dice rolls to produce triangle sides.

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Answer:

Step-by-step explanation:

Yes it does

10 and 15

Answer:

A. the independent and dependent variables are the number of miles and total fee (y = 2.8 + 3.5x)

B. the domain is 0 <= x <= 20 and  range is 2.8≤x≤20

Step-by-step explanation:

Time taken to eat all = 549.5 minutes.

What is unitary method?

acc to our question-

Hence,Time taken to eat all = 549.5 minutes.

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Answer

you do 420x0.7= 29.40

Answer:

The sales tax is 29.4

Step-by-step explanation:

Just divide in half until you reach 5 and then calculate the other 2 percent of it and add the 2 percent back onto it.

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.

1/120 + 1/40 = 1/T

multiply by 40T;

3T = 40

T = 40/3

  = 13 1/3 minutes

  = 13 minutes 20 seconds

It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.

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choose any 2 points on the graph

To calculate the slope use the formula:

slope = y (point 2)-y (point 1)/x (point 2)-x (point1)

substitute the choses points in

calculate your awnser

Answer:

19.47

Step-by-step explanation:

Answer:

[tex]m\angle A \approx 19.47 \textdegree[/tex]

Step-by-step explanation:

Utilize the trigonometric ratio sine.

[tex]\sin(m\angle A) = \dfrac{2}{6}[/tex]

[tex]\sin(m\angle A) = \dfrac{1}{3}[/tex]

[tex]m\angle A = \sin^{-1}\left( \dfrac{1}{3} \right)[/tex]

[tex]m\angle A \approx 19.47 \textdegree[/tex]

The equation which has infinitely many solutions include the following: B. -6x + 35 = -6x + 35

In Mathematics, an equation is said to have an infinitely many solution when the left hand side and right hand side of the equation are the same or equal.

This ultimately implies that, an equation would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and intercept for the two lines are the same.

In this scenario, we can reasonably and logically deduce that the following equations satisfy the condition for an equation which has infinitely many solutions:

-6x + 35 = -6x - 35 (False).

-6x + 35 = -6x + 35 (True).

6x + 35 = -6x + 35 (False).

6x + 35 = -6x - 35 (False).

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Complete Question:

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

A. -6x + 35 = -6x - 35

B. -6x + 35 = -6x + 35

C. 6x + 35 = -6x + 35

D. 6x + 35 = -6x - 35

The smallest positive integer n will be 10 .

To find : the smallest positive integer n such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

Since ,

putting n = 10 gives

n ! = 10 ! = 3628800

and ( n + 1 ) ! = 39916800

Last three digits ( rightmost digits ) ie. 800 are same .

Hence , n = 10 is the required answer ,

Therefore , the smallest positive integer is n = 10 such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

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Answer:

The smaller number is 4.

Step-by-step explanation:

X and Y are the two numbers

x+y=12

x-y=-4

Subtract these two equations

(x+y=12)

-(x-y=-4)

—————-

2y=16

y=8

Plug it in to any equation:

x+y=12

x+8=12

x=4

Answer:

36

Step-by-step explanation:

(3*2)^2

3*2=6

6^2=36

Answer:

36

Step-by-step explanation:

(3x2)^2
6^2

36

Hopes this helps please mark brainliest

Answer:

x = 20

Step-by-step explanation:

Comment

If you follow the angles down, you discover 2 things

There are only 2 answers

One is the supplement of the other.

In this case, both angles can be shown to be the same. The process is accomplished by two vertically opposite angles and 2 supplements. I can't show you how this is done because there are no letters on the lines.

It turns out that 3x + 10 = 4x - 10

Solution

3x + 10 = 4x - 10                         Add 10 to both sides

3x + 10  + 10 = 4x - 10 + 10          Combine

3x  + 20 = 4x                               Subtract 3x from both sides.

3x-3x + 20 = 4x-3x                      Combine

20 = x

Answer:

Step-by-step explanation:

weknr f not sure

Answer:

12

Step-by-step explanation:

1/2x+1/3x=10

We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)

3/6x+2/6x=10

5/6x=10

Now divide 5/6 on both sides

5/6x=10

/5/6. /5/6

x=10*6/5

x=60/5

x=12

Hopes this helps please mark brainliest

When equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

So, the equations are graphs are:

Now, graph both equations as follows:

Therefore, when equation f(x) = 3x + 4 is transformed to h(x) = f(x + 3) and plotted on the graph, both the lines of the equations are parallel to each other.

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Answer:

4f+10

Step-by-step explanation:

multiply the 2 to both the numbers in the parenthesis. 2 times 2f is 4f and 2 times 5 is 10

The sum of the ages of the children would be 3x - 94 years.

We have the total sum of the ages of pam ,dion and their children  

as 5x - 99

here , x is the age of Dion .

we see , pam is five years younger than Dion , so

age of Pam = x - 5

Now as the sum of all the ages = 5x - 99

therefore ,

Age of Dion + Age of Pan + Age of children = 5x - 99

x + x - 5 + Age of children = 5x - 99

2x - 5 + Age of children = 5x - 99

therefore ,

Age of children = 3x - 94

So  the age of their children would be 3x - 94 years

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Answer:

Step-by-step explanation:

all angles of a triangle add up to 180 degrees, so:

3x-40+x+60 = 180

4x = 180 - 60 + 40

4x = 160

x = 40

Check:

LS:                                    RS:

3(40)-40+40+60              180

= 180

because LS = RS,

x = 40

Hope this helps and you understand!!

Answer:

X=30

Step-by-step explanation:

[tex](4x + 30) + (2x - 30) = 180 \\ 4x + 2x + 30 - 30 = 180 \\ 6x = 180 \\ x = 30[/tex]

Answer:

x = 30

Step-by-step explanation:

We are told that:

• m∠A =  (4x + 30)°

• m∠B = (2x - 30)°,

and that these two angles are supplementary to each other.

When two angles are supplementary to each other, it means that they add up to 180°.

Therefore:

∠A + ∠B = 180°

⇒ (4x + 30)°  +  (2x - 30)° = 180°

⇒ 4x + 30 + 2x - 30 = 180

⇒ 4x + 2x + 30 - 30 = 180      [Combining like terms]

⇒ 6x = 180

⇒ [tex]\frac{6}{6}x = \frac{180}{6}[/tex]     [Dividing both sides of the equation by 6]

⇒ x = 30

The manufacturer needs to adjust the equipment to meet the standard with the margin of error of 2.34.

The calculated number known as the margin of error is added to and removed from the mean value to get the resulting confidence interval. The confidence interval expands as the margin of error does.

Calculate the 95% confidence interval's margin of error based on the aforementioned data.

α = 0.05

n = 20

s = 5

The following is the formula to determine the margin of error:

E = T(n-1) ×s/√n

The t-distribution table is used to determine the value of tn-1 at 19 degrees of freedom.

Replace the values in the formula above.

E = 2.093 ×5/√20

Thus, its margin of error is 2.34 as a result.

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The solution for x in the function when the function g(x) = 10 is 4

From the question, we have the following equation that can be used in our computation:

g(x)=x-4

To make the equation legible, we need to rewrite it

So, we have the following representation

g(x) = x - 4

Also from the question, we have

g(x) = 10

This means that we calculate x when g(x) = 10

Substitute the known values in the above equation, so, we have the following representation

10 = x - 4

So, we have the following equation

x - 4 = 10

Add 4 to both sides of the equation

So, we have the following representation

x - 4 + 4 = 10 + 4

Evaluate the equation

x = 14

Hence, the solution is 14

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The value of gf(4) is 18

What is 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.

Given,

f(x) = x + 2

g(x) = 3x

Now we need Function of a function

i.e. g[f(x)]

Then on g(x) we have to replace the x with f(x)

Thus,

g[f(x)] = 3(x + 2)

         = 3x + 6

Now by evaluating at

x = 4 i.e.

gf(4) = 3(4) + 6

gf(4) = 12 + 6

gf(4) = 18

Hence, The value of gf(4) = 18

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now, the assumption in this implicit differentiation is that "y" is really a function in x-terms, whilst "x" is just a simple variable

[tex]x^2y-3x=y^3-3\implies \stackrel{product~rule}{\left( 2xy + x^2\cdot \cfrac{dy}{dx} \right)}-3=\stackrel{chain~rule}{3y^2\cdot \cfrac{dy}{dx}} \\\\\\ 2xy-3=3y^2\cdot \cfrac{dy}{dx}-x^2\cdot \cfrac{dy}{dx}\implies 2xy-3=\cfrac{dy}{dx}(3y^2-x^2) \\\\\\ \left. \cfrac{2xy-3}{3y^2-x^2}=\cfrac{dy}{dx} \right|_{(-1,2)}\implies \cfrac{2(-1)(2)-3}{3(2)^2-(-1)^2}\implies -\cfrac{7}{11}[/tex]

It will take 25 minutes for the two containers to have the same amount of water .

In the question ,

it is given that ,

water present in container A = 200L

water present in container B = 500L

rate at which the water is filling in container A= 6 liter/minute

rate at which the water is draining in container B = 6 liter/minute

let the time taken = m minutes ,

So , According to the question ,

the equation representing the situation is  

200 + 6m = 500 - 6m

Simplifying further , we get

6m + 6m = 500 - 200

12m = 300

m = 300/12

m = 25

Therefore , It will take 25 minutes for the two containers to have the same amount of water .

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The equation of the line in slope - intercept form will be -

y = (4/5)x + 5

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

At [c] = 0 -

y = mx

We have a directly proportional relation.

The general equation of a straight line is -

[y] = [m]x + [c]

At [c] = 0, y = mx

m = y/x

where [m] acts as a constant of proportionality.

So -

y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.

Therefore, y = mx : represents direct proportionality between [y] and [x]. Its graph is a straight line.

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Based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

For this case we have the following data given:

n = 1600 represent the sample size select.

dp = 0.43, which,  represent the estimated proportion of high school students that have a part time job

N= 15000000 represent the total population size

And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition: “We need to have Bernoulli trials must be independent.

If that assumption is not satisfied, it is  still okay to proceed if we have that the sample is smaller than 10% of the population.”"One of the conditions to be checked before using the normal model for sample proportions is, “The sample size, n, must be no larger than 10% of the population.

”So based on this if we find the 10% of the population we have:

15000000 × 0.1 = 1500000

And we see that our sample 1600 & lt;

1500000 and we satisfy the 10% condition.

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Considering the figure the required angle is solved using the vertical angle theorem. The values are

The problem is solved considering this theorems

vertical angle theorem

According to this theorem, when two straight lines cross, they create two sets of linear pairs and the vertical opposite angles are equal.

solution for the missing angle

x + 70 + 60 = 180 sum of angles of a triangle

x = 50

Using vertical angle theorem

? + 88 + 50  = 180 sum of angles of a triangle

? = 180 - 88 - 50

? =  42

solution for the missing angle

x + 75 + 30 = 180 sum of angles of a triangle

x = 75

Using vertical angle theorem

? + 88 + 75  = 180 sum of angles of a triangle

? = 180 - 85 - 75

? =  20

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24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.

A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.

Here,

Since there are 5 peoples,

let us fix the first person and remaining will be set according to that.

this can be arranged in,

(5-1)!=4!

=24 ways

When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.

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By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

Given,

In the question:

To solve the equation:

x² + 5x - 14 = 0

Now, According to the question:

x² + 5x - 14 = 0

Split the middle term into two terms :

x² - 2x + 7x  - 14 = 0

Factor the first two terms and the last two terms separately

x(x - 2) + 7 (x -2) = 0

Factor out

(x - 2) (x + 7) = 0

Apply Zero Product Property

x - 2 = 0 or x + 7 = 0

x = 2 or x = -7

Hence, By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

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The equation of the graph in the figure is f(x) = |x - 3| + 5

Given that the graph is an absolute value graph

We start by calculating the vertex of the graph

In this case, the graph has it minimum point located at the coordinate (3, 5)

This coordinate can then be interpreted as

(h, k) = (3, 5)

As a general rule, the general representation of the equation of an absolute value function is f(x) = |x - h| + k

Substitute the known values in the above equation

So, we have the following equation

f(x) = |x - 3| + 5

Hence, the equation of the graph is f(x) = |x - 3| + 5

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