Calculate the volume in milliliters of a 1.420m naoh solution required to titrate 25ml of a 4.500m h2so4 solution

(balanced chemical equation naoh+h2so = na2so4+2h2o)

The correlation between variables x and y is 0.50 . The true option is option (c) .

that's the regression coefficient is positive for given bivariata.

Correlation: Correlation is a statistical measure of how linearly two variables are related (meaning they change together at a constant rate). The

sample correlation coefficient r quantifies the strength of the relationship.

Correlation Coefficient: The Correlation Coefficient formula is used to examine the strength of the relationship between data. The formula returns a value between -1 and 1.

Here:

Pearson's correlation coefficient is denoted by "r" and is

r = (n∑xy - ∑x∑y )/√( n ∑x² - (∑x )² ) ( √ n∑y² - (∑y)²)

We have given that correlation between x and y is 0.50.

cor(x,y) = √r^2 => √r^2 = 0.50 => r ^2 = (0.50)^2

=> r^2 = 0.25 > 0 but less than 0.50 ---( 1)

Regression coefficient is the constant "b" in the regression equation that gives the change in the value of the dependent variable equal to the unit change in the independent variable.

Symbolically it can be expressed as:

bₓᵧ= r σ ₓ /σ ᵧ

where x and y are correlated

σ ₓ --> standard deviation of X

σᵧ ---> standard deviation of y

We know that standard deviations is square root value of variance of observations. we also know square root any quantity is always positive or zero.

Using the above fact about standard deviations and correlation coefficient (r) is also positive we see that bₓᵧ is postive.

Hence, Regression cofficient is positive.

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Answer:

y = -4/3x + 6

Step-by-step explanation:

y = mx + b

m = slope = -4/3

b = y-intercept = 6

Answer:

Step-by-step explanation:

10% of 24 hours = 0.10×24 hours = 2.4 hours

We are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

In the given scenario:

The boldface number "12.2" represents a statistic.

The boldface number "15.1" represents a statistic.

A statistic is a numerical value that summarizes a sample of data, while a parameter is a numerical value that summarizes a population.

In this case, we are comparing the average gain in test scores for two different groups of girls - those assigned to coeducational chemistry classes and those assigned to single-sex chemistry classes. Since these gains are calculated from the data obtained from these specific groups of girls, they represent statistics rather than parameters.

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Based on the tables given and the functions represented, the two functions that are inverses of each other are Tables 3 and 4.

When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.

For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).

The functions that are inverses are therefore Tables 3 and 4 as shown attached.

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Answer:

the answer would be a % because of the divisibility rule

Answer:

Step-by-step explanation:

I used to do these as a kid! theyre pretty fun :)

for the first one:

the sum has to be 9. (as we can see from the first row).

the middle box in the last row will be -1. (since two boxes fill to be 10, you subtract 1 to get to 9)

and so on. it solves itself. use similar tactics for all others.

1:

0 7 2

5 3 1

4 -1 6

2:

1 2 6

8 3 -2

0 4 5

3:

3 -2 5

4 2 0

-1 6 1

Answer:

35%

Step-by-step explanation:

40%+25%=65%

100%-65%=35%

The length of SR in the trapezoid formed by the given points is approximately 13.42 units when rounded to the nearest hundredth.

To find the length of SR in the trapezoid formed by the points P (-3, 5), Q (1, 7), R (8, 1), and S (-4, -5), we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane.

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Let's calculate the length of SR using the coordinates of points S and R:

x1 = -4, y1 = -5 (coordinates of S)

x2 = 8, y2 = 1 (coordinates of R)

Using the distance formula, we have:

d = sqrt((8 - (-4))^2 + (1 - (-5))^2)

= sqrt(12^2 + 6^2)

= sqrt(144 + 36)

= sqrt(180)

≈ 13.42

Therefore, the length of SR in the trapezoid formed by the given points is approximately 13.42 units when rounded to the nearest hundredth.

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Answer:

−26 and −16 is −14.

Step-by-step explanation:

The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                  = 6x

According to the question,

                                           4x + 32 = 6x

                                       ⇒ 6x - 4x = 32

                                       ⇒  2x = 32

                                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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The value of n is 30.33. The thirty-fourth term can be found by solving for the common difference (d) and the number of terms (n) in the arithmetic sequence and then using the formula for the nth term of an arithmetic sequence.

Let's assume that the common ratio of the geometric sequence is r. Then, the terms of the geometric sequence are given by:

\(a_2 = a_1 * ra_{10} = a_1 * r^8a_{34} = a_1 * r^{32}\)

Since these terms also appear in the arithmetic sequence, we can write:

\(a_2 = a_1 + da_{10} = a_1 + 9da_{34} = a_1 + 33d\)

Substituting the expressions for a_2 and a_{10} from the geometric sequence into the arithmetic sequence, we have:

\(a_1 * r = a_1 + da_1 * r^8 = a_1 + 9d\)

Solving for d, we get:

\(d = a_1 * (r - 1)d = a_1 * (r^8 - 1) / 9\)

Next, we use the expression for a_{34} from the arithmetic sequence and substitute the expression for d to obtain:

\(a_{34} = a_1 + 33d = a_1 + 33a_1 * (r^8 - 1) / 9\)

Since the first term of the arithmetic sequence is 1, we have:

\(a_{34} = 1 + 33 * 1 * (r^8 - 1) / 9\)

The value of n can be found by using the formula for the nth term of an arithmetic sequence:

\(a_n = a_1 + (n-1)d\)

Setting n = 34 and substituting the expression for d, we have:

\(a_{34} = 1 + (33) * (a_1 * (r^8 - 1) / 9)\)

So the thirty-fourth term of the arithmetic sequence is:

\(a_{34} = 1 + 33 * (1 * (r^8 - 1) / 9) = 34 - 33/9.\)

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Complete Question:

An arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence.

What is the thirty-fourth term of the arithmetic sequence?

The fourth term in the geometric sequence above appears as the nth term in the arithmetic sequence. Find the value of n.

The measurement of the angle OP is 39

The given parameters that will help us to answer the question are

R is mid point of OQ

S is mid point of PQ

RS = 3x + 38

OP = 4x- 14

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

This implies that So,

[1/2][3x + 38] = [4x- 14]

[3x+38] = 2[4x- 14]

Opening the brackets we have

3x+38=8x-28

Collecting like terms

3x-8x=-28-38

-5x=-66

Making x the subject of the relation we have

x = -66 / -5

x = 13.2

Therefore RS = 3(13.2) + 38 = -11.4

OP = 4(13.2)- 14=38.8

Measurement of OP = 39 approximately

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Answer:

39858075

Step-by-step explanation:

Hello,

One basic way to see it is to compute the values.

   75 = 25 * 3

   225 = 75 * 3

   675 = 225 * 3

   etc ...

We can notice that this is multiplied by 3 every 10 years so we can compute as below.

year         population

1970 25

1980 75

1990 225

2000 675

2010 2025

2020 6075

2030 18225

2040 54675

2050 164025

2060 492075

2070 1476225

2080 4428675

2090 13286025

2100 39858075

So the correct answer is 39858075

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

3 2 − 6 − 1

   2

− 3

Step-by-step explanation:

a. Pair 2 is selected.

b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.

c. The two systems work together by sharing the region of the mouth and upper throat.

First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.

The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.

The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.

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The percentage that refers the difference in time joey spent on his homework from Monday to Wednesday is 12.5%

The term percentage refers  a relative value indicating hundredth parts of any quantity.

Here we have given that on Monday, joey finished his math homework in 32 minutes. on Wednesday, he finished his math homework in 28 minutes.

And we need to find the percent represents the difference in time joey spent on his homework from Monday to Wednesday.

Here first we need to find the improvement in time from Monday to Wednesday.

And its simply calculated as,

=> 32–28 = 4 minutes

And then we simply need to calculate the value of 4/32 in terms of percentage.

Then the calculation of the term is written as,

=>  (4/32)*100% = 12.5 %

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I attached the answer below. Please take a look. You're welcome.

The sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a sandbox:

The length of the sandbox = 4 feet

The width of the sandbox = 6 feet

The height of the sandbox = 2 feet

Amount of sand can hold = volume of the sandbox

= 4×6×2

= 48 cubic feet

Thus, the sandbox can hold 48 cubic feet of sand in it if the sandbox with dimensions of 4 feet, 6 feet, and 2 feet.

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Answer:

the second one

Step-by-step explanation:

Answer:

87, I believe. The powers of 10, and 87 is in the powers of 10.

Step-by-step explanation:

A quadratic function allows us to calculate the rocket's height at any given time, determine the time it takes to reach the maximum height, and predict its eventual descent.

A quadratic function could be used to simulate a situation in which a rocket is launched and reaches a maximum height of 200 feet before crashing to the ground. For this situation, the level of the rocket can be depicted by a quadratic condition since the movement follows an illustrative direction because of the powers following up on it.

We can use a quadratic function to estimate the rocket's height at any given moment, how long it will take to reach its maximum height, and when it will eventually descend. The inherent quadratic relationship that can be represented by a parabolic equation is not present in the other mentioned scenarios, such as population growth, deposits into savings accounts, and the varying speeds of an Uber driver.

example of quadratic function

The quadratic ability condition is f(x) = ax² + bx + c, where a ≠ 0. We should check out at a couple of quadratic capability models: f(x) = 2x² + 4x - 5; Here, an is 2, b is 4, and c is - 5. f(x) = 3x² - 9; A is three, B is one, and C is nine.

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The measure of the sum of the interior angle of the regular polygon is 1620 degrees.

All interior angles in a regular polygon are equal.

For a regular polygon, the sum of the interior angle is expressed as:

Sum of interior angles = ( n - 2 ) × 180°

Where n is the number of sides of the regular polygon.

From the diagram, the polygon has 11 sides.

Number of sides n = 11

Plug n = 11 into the above formula and solve for the sum of the interior angles:

Sum of interior angles = ( n - 2 ) × 180°

Sum of interior angles = ( 11 - 2 ) × 180°

Sum of interior angles = 9 × 180°

Sum of interior angles = 1620°

Therefore, the sum of the interior angles is 1620°

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Answer:

It’s actually     m = (C - 12) /3     But I don’t see it in the 4 option you have.

Step-by-step explanation:

C = 12+ am

C - 12 = am

(C - 12) /a = m

Answer:

beside in this equation where C=$12 a= the additional charges and m= minutes used the equation would be C m=C-12a

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

If y is normally distributed with parameters μ and σ and you observe y and then build a rectangle with length |y | and width 3|y |, then e(a) = 3(σ\(^2\) + μ\(^2\))

To find E(A), the expected value of the area A of the rectangle, we need to consider the distribution of Y and the dimensions of the rectangle.
Given that Y is normally distributed with parameters μ (mean) and σ (standard deviation), we know that the length of the rectangle is |Y| and the width is 3|Y|. Therefore, the area A of the rectangle can be expressed as:
A = |Y| * 3|Y|
Now, let's find the expected value of A, E(A):
E(A) = E(|Y| * 3|Y|)
Since 3 is a constant, we can take it out of the expectation:
E(A) = 3 * \(E(|Y|^2)\)
We need to find the expected value of \(|Y|^2\). Notice that \(|Y|^2\) = \(Y^2\), as squaring a number removes its sign. So, we need to find \(E(Y^2)\).
For a normal distribution with parameters μ and σ, we know that:
\(E(Y^2)\) = Var(Y) + \((E(Y))^2\)
Here, Var(Y) represents the variance of Y, which is σ\(^2\), and E(Y) represents the expected value of Y, which is μ. Therefore:
\(E(Y^2)\) = σ\(^2\)+ μ\(^2\)
Now, we can substitute this value back into our expression for E(A):
E(A) = 3 * \(E(Y^2)\) = 3 * (σ\(^2\) + μ\(^2\))
So, the expected value of the area A of the resulting rectangle is:
E(A) = 3(σ\(^2\) + μ\(^2\))

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If an "E" statement is true, the truth value of its corresponding "A" statement is logically undetermined.

An "E" statement is a universal negative statement, which means that it asserts that no members of a certain class have a specific property. For example, "No dogs are fish" is an "E" statement. On the other hand, an "A" statement is a universal affirmative statement, asserting that all members of a class have a specific property. For example, "All dogs are mammals" is an "A" statement.
When an "E" statement is true, it only provides information about the nonexistence of a certain relationship between two classes. It doesn't provide enough information to determine the truth value of its corresponding "A" statement. The truth value of the "A" statement could be true, false, or undetermined, depending on the specific classes and properties involved.
In summary, if an "E" statement is true, the truth value of its corresponding "A" statement is logically undetermined, as there is not enough information available to determine whether the "A" statement is true or false.

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Answer:

4x+2x=31+5

6x=36

divide both side by 6

6x/6=36/6

x=6

Answer:

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

A 38.91

Step-by-step explanation:

distance formula = d= √((x2-x1)²+(y2-y1)²)