Q. Is 35Cl detectable by NMR in theory? Either way, explain why?
Q. Why should you use deuterated solvents such as CD3OD and CDCl3 instead of non-deuterated solvents such as acetone and methanol to dissolve organic compounds for NMR analysis?

To estimate the mean credit card balance owed by a bank's customers with a 98% confidence interval and a margin of error of $85, we need to determine the sample size. We can use the following formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Here, n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 98% confidence interval, the Z-score is approximately 2.33 (you can find this value in a Z-score table). The population standard deviation (σ) is given as $300, and the desired margin of error (E) is $85.

Now, plug in these values into the formula:

n = (2.33^2 * 300^2) / 85^2
n ≈ (5.4289 * 90,000) / 7225
n ≈ 675,561 / 7225
n ≈ 93.48

Since we can't have a fraction of a customer, we should round up to the nearest whole number. Therefore, the bank should sample approximately 94 customers to achieve a 98% confidence interval with a margin of error of $85.

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The integral of (-4 sin(t) + 4 cos(t)) dt is 4 cos(t) + 4 sin(t) + C.

The given integral is ∫(-4 sin(t) + 4 cos(t)) dt. To solve this, we can integrate each term separately. The integral of -4 sin(t) dt can be found by applying the trigonometric identity ∫sin(x) dx = -cos(x), resulting in -4 cos(t). Similarly, the integral of 4 cos(t) dt can be found using the identity ∫cos(x) dx = sin(x), yielding 4 sin(t).

Combining the results, we get 4 cos(t) + 4 sin(t). Since integration is an indefinite process, we add the constant of integration, denoted as C, to account for any possible initial conditions or constraints. Hence, the final solution to the integral is 4 cos(t) + 4 sin(t) + C.

If you want to further understand the process of integrating trigonometric functions like sin(t) and cos(t), it's helpful to explore the topic of integral calculus. Integral calculus deals with the computation of integrals and provides techniques for solving a wide range of integrals involving various functions. Studying techniques such as substitution, integration by parts, and trigonometric identities will enhance your understanding and ability to solve integrals.

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Therefore, the intersection of the arcs that Victor drew must be the midpoint of segment XY.

the midpoint is the point that is exactly halfway between two other points. It is the point that divides the line segment into two equal halves.

The midpoint of a line segment can be found by taking the average of the x-coordinates and the y-coordinates of the two endpoints of the segment. For example, if the endpoints of a line segment are (x1, y1) and (x2, y2), then the midpoint of the segment is\(((x_1 + x_2)/2,(y_1+y_2)/2).\)

by the question.

If Victor drew an arc centered at X and then drew an arc of the same radius centered at Y, the intersection of these arcs will be equidistant from X and Y. This is because the points on the arcs are all a fixed distance away from their respective centers.

Since Victor is drawing a perpendicular segment to XY, the intersection of the arcs he drew will be the midpoint of XY. This is because the perpendicular segment will divide XY into two equal segments, and the intersection of the arcs is equidistant from X and Y.

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Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to x² +25 is

(x-5)²+10x

or

(x+5)²-10x

Answer:

A = s^2

Step-by-step explanation:

The area of a square can be found by multiplying the side by its side.

A = side x side = s^2

So if the side of a square is 3, to find the are you would multiply 3 times 3. Giving you an area of 9.

10t + 4p ≤ 25 inequality shows the maximum number of tables and people Nathaniel can invite while staying within his budget.

What is inequality?

In mathematics, an inequality is a statement that two values or expressions are not equal, but rather that one is greater than or less than the other. An inequality is denoted by the symbols "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

Let the number of tables Nathaniel buys be represented by t, and the number of people he invites be represented by p.

Then, the total cost can be expressed as:

Cost = 100t + 40p

Since Nathaniel does not want to spend more than 250, we can set up the inequality:

100t + 40p ≤ 250

We can simplify this inequality by dividing both sides by 10:

10t + 4p ≤ 25

This inequality shows the maximum number of tables and people Nathaniel can invite while staying within his budget.

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The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)

Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.

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We keep X1 constant, then for every 1 unit increase in X2, the Y variable will increase by an estimated 16 units. 98% of the total variation in the dependent variable is explained by the independent variables in the regression model.

The given estimated multiple linear regression equation is Y = 8 + 45X1 + 16X2.

a. Interpretation of the estimated coefficient of X2

In the given estimated regression equation, the estimated coefficient of X2 is 16.

The interpretation of the estimated coefficient of X2 is as follows:

If we keep X1 constant, then for every 1 unit increase in X2,

the Y variable will increase by an estimated 16 units.

b. Interpretation of R2 value

If R^2 (Goodness of Fit Coefficient) is 0.98 in this estimated regression equation,

then it tells that the 98% variability in the Y variable can be explained by the independent variables (X1 and X2) included in the regression model.

In other words, 98% of the total variation in the dependent variable is explained by the independent variables in the regression model.

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The statement is false.

Therefore, the probability that the student plays neither tennis nor netball is 1/5 = 0.2 or 20%.

There are 40 students in a class. 19 students play tennis, 20 students play netball, and 8 students play neither of these sports.

A student is chosen randomly from the class, and we need to determine the probability that the student: Plays tennis If a student is randomly chosen from the class, the probability that the student plays tennis is: Probability of playing tennis= (Number of students playing tennis) /

(Total number of students in the class) Probability of playing tennis= 19 / 40Plays netball if  a student is randomly chosen from the class, the probability that the student plays netball is: Probability of playing netball= (Number of students playing netball) / (Total number of students in the class)Probability of playing netball= 20 / 40 = 1/2Plays neither of these sports a student is randomly chosen from the class, the probability that the student plays neither tennis nor netball is

:Probability of playing neither tennis nor netball= (Number of students who do not play either of the two sports) / (Total number of students in the class)Probability of playing neither tennis nor netball= 8 / 40Probability that the student plays tennis and netball

Probability of playing tennis and netball = (Number of students playing both tennis and netball) / (Total number of students in the class)We are given that none of the students play both tennis and netball, so the probability of playing both tennis and netball is 0.

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Given

milliliters per kilogram per hour

Find

Convert it into teaspoons per pound per day

Explanation

As we know that

1 teaspoon = 5 ml

1 kg = 2.2 pounds

1 hour = 1/24 day

so . 1 ml/kg.hr=

Final Answer

1 milliliters per kilogram per hour is 2.18181818 teaspoons per pound per day

Answer:

the median is 55.6

Step-by-step explanation:

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean =  

=

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

Answer:

Step-by-step explanation:

pN = 64/100 = 0,64 = 64%

pW = 80/100 = 0,8 = 80%

The planes of Waxwing airlines are more punctual

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

Pythagoras theorem is used to show the relationship between the sides of a right angle triangle. It is given by:

Hypotenuse² = Adjacent side² + Opposite side²

From the right angle:

a² + b² = c²

c² = 13² + 5²

c² = 25 + 169

c² = 194

c = 13.93

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

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The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.

Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.

The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.

To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.

We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.

Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.

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The difference and ratio between successive terms in the given sequence are:
Difference: 48, 24, 12, 6, ...
Ratio: 1/2 (they are same)

Since the ratio between successive terms is constant (1/2), the given sequence is a geometric sequence.

To find the common ratio of the sequence, we can divide any term by the preceding term. For example:

Common ratio = 48/96 = 1/2

Now, we can use the formula for the sum of an infinite geometric series to find the sum of the sequence. The formula is:

S = a/(1-r)

where a is the first term and r is the common ratio.

In this case, a = 96 and r = 1/2, so:

S = 96/(1 - 1/2) = 192

Therefore, the sum of the infinite geometric sequence is 192.

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Answer:

Step-by-step explanation:

The statement that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is: `double[] miles = {27.2, 33.5, 12.8, 56.4}.

An array is a data structure that contains a group of elements of the same data type. It is a collection of variables with the same data type but with different values assigned to them. To create an array in Java, we specify the data type of the elements in the array and the size of the array.The code that creates an array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and 56.4 to its elements is given as follows: double[] miles = {27.2, 33.5, 12.8, 56.4}: The `double[]` specifies the data type of the elements in the array, which is double. The name of the array is miles, and it contains four elements with values 27.2, 33.5, 12.8, and 56.4 respectively.

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DECIMAL MILES can create array of decimal miles.

In computer science, an array is a data structure consisting of a collection

of elements, of same memory size, each identified by at least one array

index or key. An array is stored such that the position of each element can

be computed from its index tuple by a mathematical formula. Two type of

array are there 2D array and 3D array. The following statement creates an

array of decimals named miles and assigns the values 27.2, 33.5, 12.8, and

56.4 to its elements:

decimal[] miles = {27.2, 33.5, 12.8, 56.4};

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The sum a geometric sequence is:

\(S_n=\dfrac{a_1(1-r^n)}{1-r} \ \text{where} \ a_1 \ \text{is the first term and r is the ratio}\)

In the given problem, \(a_1=10\) and \(r = 2\)

\(S_{10}=\dfrac{8(1-2^{10})}{1-2}\)

\(. \ \ \ \ =\dfrac{8(1-1024)}{-1}\)

\(. \ \ \ \ =-8(-1023)\)

\(. \ \ \ \ \bold{=8184}\)

Answer:

Alternate Interior Angles; x = 30,  Linear Pair; y = 29

Step-by-step explanation:

Looool. I'm learning this unit too. I hate this chapter of geometry, it is pretty hard.

ANYWAYS, first you have to identify the angle relations of 3x-3 and 60°, since we're trying to find x, and not y, therefore, ignore the other angle. It would be an alternate interior angle (interior angles, non-adjacent, and on opposite sides of transversals) ALTERNATE INTERIOR ANGLES ARE ALWAYS CONGRUENT, which means they're equal. So we'll put them equal to each other.

So to find x, we have to make both of the equations equal to each other.

So, it'd look like :

3x - 3 = 60

Solve from there. You should get x = 30.

To find y, you'd have to find an angle relation. Since we cant use an equation with x, the only other number we can use is 60°. The relationship between 4y + 4 and 60° is a linear pair. Linear pairs are always equal to 180°.

So then, you'd put the numbers equal to 180°.

4y + 4 + 60 = 180

Combine like terms and solve from there.

You should get y = 29

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There are 120 ways that the letters from the word "world" can be arranged

It is the ordered arrangement of members belonging to a set with no repeats.

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

5P5 = 5! / (5-5)!

5P5 = 5! / 0!

5P5 = 5*4*3*2 / 1

5P5 = 5*4*3*2

5P5 = 120

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Answer:

5°C

Step-by-step explanation:

hope this helps, i used your formula :D

9514 1404 393

Answer:

  D.  The ball was thrown from an initial height of 3 feet.

Step-by-step explanation:

The generic form of the equation for (vertical) ballistic motion is ...

  \(h(t)=-\dfrac{1}{2}gt^2+v_0t+h_0\)

where g is the acceleration due to gravity, usually approximated as 32 ft/s², v₀ is the initial upward velocity, and h₀ is the initial height.

The given equation matches the situation where the object was launched vertically at the rate of 40 ft/s from a height of 3 ft.

The 3 represents an initial height of 3 feet.

The simplification of the addition of two or more fraction with unlike denominator is:

Convert the denominator with like terms and then add the numerators.

Method of simplification of addition of fraction with unlike denominator is:

Therefore, to simplify unlike fractions find least common multiple and add the like fractions.

The given question is incomplete, I answer the question in general according to my knowledge:

Simplification of adding fractions with unlike denominators with  example?

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Answer:

Step-by-step explanation:

2455 * 100 = 245500%

The total number of children Mr. and Mrs. Jones are having is 13 children.

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

In set theory, the set containing every element in a collection is the union of all its sets. It is one of the fundamental operations that allows sets to be joined together and connected to one another. A union of zero sets is referred to as a nullary union, because it is by definition equivalent to the empty set.

The symbol "∩" can be used to represent the intersection of sets. According to the definition given above, the intersection of two sets A and B is the collection of all the items that are shared by both sets.

8 refused to go to the family cottage = set A

7 refused a resort spot on the ocean. = Set B

9 refused a camping trip. = Set C

3 will go neither to the family cottage nor the resort = A∩B

4 will go neither to the resort nor on a camping trip = B∩C

6 will go neither to the family cottage nor on a camping trip = A∩C

2 will not go to the family cottage, the resort spot on the ocean or the camping trip = A∩B∩C

The total number of children = A + C - (A∩B + B∩C + A∩C) + A∩B∩C

= 8+7+9 -(3+4+6) + 2 = 13

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