Solve the system of linear equations using any method

Hypothesis testing and estimation are statistical techniques for inferring about populations using sample data. They have similarities but serve different purposes and can complement each other.

Hypothesis testing is a statistical procedure used to draw conclusions about a population by formulating null and alternative hypotheses, collecting sample data, calculating a test statistic, and comparing it to a critical value.

Estimation, on the other hand, involves using sample data to estimate population parameters, providing point estimates or confidence intervals. While distinct, these techniques are closely related: estimation informs

The calculation of the test statistic in hypothesis testing, and estimation can be used post-hypothesis testing to provide additional information about the parameter of interest.

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Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

According to the question;

Hence, by testing the coordinates in the equation; y=7x, we have;

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

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Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

Answer:

35$ : 1,25$ = 28 Trips

Step-by-step explanation:

From 29 Trips you have a better deal.

Step-by-step explanation:

To write the inequality, let x be the number of trips:

As we are finding how many rides until it is cheaper, we will be using the greater than sign:

0.90 * x > 24

To isolate x, we need to divide both sides by 0.9:

\(x > \frac{24}{0.9}\)

x > 26.66 or

x > 26 \(\frac{2}{3}\)

Rounding down as too little money will result in no trip:

x > 26

This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.

Hope this helps!

Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics

Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.

Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.

In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.

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To find the elements α and β such that ∣α∣=2, ∣β∣=2, and ∣αβ∣=3 in S₃, we can consider the elements of the symmetric group S₃ which consists of the permutations of three elements. Let's denote the elements of S₃ as (1 2), (1 3), and (2 3), where (a b) represents the permutation that swaps a and b.

To satisfy the given conditions, we need to find two permutations α and β such that the absolute values of their cycles are equal to 2 and the absolute value of the cycle resulting from their product is equal to 3.

One possible solution is α = (1 2) and β = (1 3).

For α = (1 2), the absolute value of its cycle is 2 since it swaps 1 and 2. Similarly, for β = (1 3), the absolute value of its cycle is also 2 as it swaps 1 and 3.

Now, let's calculate the product αβ. (1 2)(1 3) = (1 3 2), which has a cycle length of 3, satisfying ∣αβ∣=3.

Therefore, one possible solution is α = (1 2) and β = (1 3) in S₃.

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Reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

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

Triangles ABC and A"B"C"

Also, we have the figure

From the figure we can see that

Translation would not map the triangles

Of all the other transformations, a reflection over the line y = x - 5 may map the triangles

This means that reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

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When the sphere crosses the equally spaced rubber bands, a sound is produced that differs in pitch depending on the distance between the rubber bands. The pitch of the sound produced becomes higher as the distance between the rubber bands decreases.

The sound produced is due to the sphere's kinetic energy, which is transferred to the rubber bands when it strikes them. The rubber bands vibrate as a result of this, and the vibrations are transferred to the air around them, resulting in sound waves. The sounds produced as the sphere crosses the equally spaced rubber bands in procedure step 4 were observed to be high-pitched.

These high-pitched sounds became even higher as the distance between the rubber bands decreased. The vibrations produced by the sphere as it strikes the rubber bands can be felt in the hand holding the tube.

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a) P(x=7) can be calculated by substituting x=7 into the given probability mass function: f(7) = 7(7+1)/2 = 7(8)/2 = 56/2 = 28.

b) P(x>6) represents the probability that x is greater than 6. Since the discrete random variable x can take any whole number greater than or equal to 1, the probability of x being greater than 6 is the sum of the probabilities of x being 7, 8, 9, and so on. To calculate this, we can find the sum of the probabilities for each individual value of x greater than 6.

P(x>6) = P(x=7) + P(x=8) + P(x=9) + ...

We can plug in the values of x one by one into the given probability mass function and sum up the results.

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Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

\(r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )\)

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

function 1 input, no function with the same input like m in relation 3.

Answer:

2x+4=2x+7

Step-by-step explanation:

2x+4=2x+7

    -4       -4

   2x=2x+3

  -2x -2x

     0=3

Zero does not equal to 3 so there's no solution

Answer:

(c) have a great day

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Answer:

the answer is c

Step-by-step explanation:

plato users

Answer:

Step-by-step explanation:

4.  2x + 1 = 17

5.  x-13 = 94

6.  x/2 = 7

7.  5x = 35

8.  x + 43 = 84

9.  x-18 = 36

10.  x = 8y

11.  x = y - 5

12.  x + (x+1) + (x+2) = 18

13.  x = y + 4

14.  2x + 8 = 24

The equation of the line in point slope form is as follows:

Linear equation can be represented in different form such as point slope form, slope intercept form, standard form and general form.

Therefore, equation in point slope form can be represented as follows:

y - y₁ = m(x - x₁)

where

Therefore, let's find the point slope form of the lines.

1) through: (5, 4) and (-2, 5)

m = 5 - 4 / -2 - 5

m = 1 /- 7 = - 1 / 7

Therefore,

y - 4 = - 1 / 7(x - 5)

2) through: (4, -5) and (0, 2)

m = 2 + 5 / 0 - 4

m = 7 / -4 = - 7 / 4

Therefore,

y + 5 = - 7 / 4(x - 4)

3) through: (0, 4) and (2, 1)

m = 1 - 4 / 2 - 0

m = - 3/ 2

Therefore,

y - 4 = - 3 / 2(x - 0)

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Answer:

p=7

Step-by-step explanation:

use inverse operation

add 6 to both sides

you get

-3p=-21

divide -3 from both sides

p=7

Answer:

p=7

Step-by-step explanation:

Answer:

124.4

Step-by-step explanation:

Perimeter of ∆HIJ = IJ + HJ + HI

IJ = 40

HJ = 37.6

HI = ?

Let's find HI

∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.

Thus:

EF/HI = FG/IJ

EF = 117 (given)

HI = ?

FG = 100 (given)

IJ = 40 (given)

Plug in the values

117/HI = 100/40

117/HI = 2.5

117 = HI*2.5

117/2.5 = HI

HI = 46.8

✔️Perimeter of ∆HIJ = IJ + HJ + HI

= 40 + 37.6 + 46.8

= 124.4

\( \bf Question\)

Write 8,360,000 in scientific notation

8,360,000

After one digit you should mark decimal then count after decimal how many digits are remaining after you get Ans then put your Ans always on 10.

Like this,

8.36× 100,000 = as 8.36 × 10⁶

Am mark decimal after one digit and count how many digits are remaining then am put my ans on 10

So, 8,360,000 written as 8.36 × 10⁶ in scientific notation

See this, there are two pairs one is 8.36 and one is 100,000 in first one we can't write zeros. We write numbers like 1,2,3,4,5,6,7,8,9 but not 0. Like this question is 8,360,000 , our first work is to mark decimal after one digit 8. then we have to notice that after decimal how many number are remaining like 360,000 As, we know we can't write zeros in first pair so we can write only 8.36× now our first pair is done , Second pair is so easy only you have to count digits after decimal 8360,000 So digits are 6 so our final answer is 8.36×10⁶

Always remember in second pair we write remaining no. of digits only on 10 like this 10⁶

8.36 × 10⁶

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Now, can you express 40,000,000,000 in the similar way ?

Count the number of zeros in it. It is 10.

So, 40,000,000,000 = 4.0×10¹⁰

Do you agree with the fact, that the number when written in scientific notation is much easier to read and understand.

The scientific notation of the given number is 8.36×10⁶.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given number is 8,360,000.

In scientific notation

8,360,000 = 8.36×10⁶

Therefore, the scientific notation of the given number is 8.36×10⁶.

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Answer:

f(x)=.65+y

Step-by-step explanation:

               .

The function for compound interest is A = 500 ( 1.065 )ˣ

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the compound interest amount be represented as A

Now , the interest rate r = 6.5 %

The number of times the interest is applied = yearly

The principal amount P = $ 500

n = 1 ( compounded yearly )

t = x ( number of years )

So, the function that represents the balance y (in dollars) after x years is:

y ( x ) = 500 ( 1 + 0.065/1 )ˣ

On simplifying , we get

y ( x ) = 500 ( 1.065 )ˣ

Hence , the function is A = 500 ( 1.065 )ˣ

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Answer:

y'=3x^2+34x+72

Step-by-step explanation:

I see this has no answer and it might be too late.

It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.

Take log of both sides:

log(y)=log[x(x+8)(x+9)]

Apply product rule of logarithms on right:

log(y)=log(x)+log(x+8)+log(x+9)

Now differentiate both sides:

y'/y=1/x+1/(x+8)+1/(x+9)

Multiply both sides by y:

y'=y(1/x+1/(x+8)+1/(x+9))

Replace y with x(x+8)(x+9) -> this is from the given equation:

y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))

Distribute:

y'=(x+8)(x+9)+x(x+9)+x(x+8)

Multiply/distribute some more:

y'=x^2+17x+72+x^2+9x+x^2+8x

Combine like terms:

y'=3x^2+34x+72

For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

Answer: 22 mpg (miles per gallon)

Step-by-step explanation: Just divide 352 by 16 to find the unit rate :)