Round to the nearest hundred, then estimate the product. 349 x 851 = ___

A: 240,000
B: 270,000
C: 320,000
D: 360,000

The population mean, denoted by u, is 83, and the standard deviation of the population, denoted by sigma, is 14. The sample size, denoted by n, is 49.
Hi! I'd be happy to help you with your question. Based on the given parameters of the population and sample size, we need to determine µ (mean) and σ (standard deviation).

From the information provided, we have the following parameters:

1. Population mean (µ) = 83
2. Population standard deviation (σ) = 14
3. Sample size (n) = 49

Using these parameters, we can determine the mean and standard deviation for the sample. Since the population mean is given, the sample mean will also be 83.

To find the standard error (SE), which is the standard deviation for the sample, use the formula:

SE = σ / √n

Plugging in the values, we get:

SE = 14 / √49
SE = 14 / 7
SE = 2

So, the sample mean (µ) is 83, and the sample standard deviation (SE) is 2.

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There is an infinite number of solutions.

Y = x + 2

You could replace Y with 4 and X with Y-2 (which is 2 in this case. 4-2=2).

The result would look like this:

4 = 2 + 2

or

Y = x + 2

Y = 4

x = 2

Step-by-step explanation:

2(6)(4)+(4)(4)

48+16

64 square Centimeters

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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The relative frequency distribution of the values of the mean of these 15,504 different samples would specify the sampling distribution of the mean.

The sampling distribution of the mean refers to the distribution of sample means obtained from repeated sampling from the same population.

In this case, we have 15,504 different samples of size 5 drawn from a population of 20 hospitals.

Each sample has its own sample mean. The relative frequency distribution of these sample means would specify the sampling distribution of the mean.

The sampling distribution of the mean is important in statistics because it allows us to make inferences about the population mean based on the distribution of sample means.

It helps us understand the variability of sample means and provides a basis for constructing confidence intervals and conducting hypothesis tests.

Therefore, the relative frequency distribution of the mean values from the different samples would describe the characteristics of the sampling distribution of the mean..

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Answer:

the question is blurry and it has a glare

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer: The range of the function is {10, -7, 1}.

Step-by-step explanation:

Step-by-step explanation:

So it's important to define what parallel is. If one line is parallel to another line, it will never intersect the other line. This means the two lines must be changing by the same amount simultaneously. In other words, they have the same slope. It's also important to remember that same slope doesn't mean they're parallel. You also have to look at the y-intercept. If they have the same y-intercept, and the same slope, then they're the same line. So two lines are only parallel, if the slopes are the same and they have different y-intercepts.

So now that you understand what's parallel let's look at some of the problems

1. So this is kind of tricky, because as I mentioned before, parallel lines have the same slope, but in this case a slope cannot be defined. For two vertical lines to be parallel, they just have to have different a different x-constant. Because x is what's constant, and if they're different, then the two lines will never intersect. This gives us the general formula for a vertical parallel line: \(x=a\text{ where a} \ne3\) (this is specific to this problem, since the constant in the graph is x=3). Since the parallel line must pass through (-5, -4) this means that the constant for x, must be -5, because the x is constant, if it equals anything else, it will never equal -5. So the parallel line in this case will be: \(x=-5\)

2. So the equation is already in slope-intercept form, so we don't have to solve for the slope. The slope in this case is 8, which can be determined by looking at the formula. This gives us the general formula for the parallel line: \(y=8x+b\text{ where b}\ne 4\). b cannot equal 4, because if it did, then we would have two lines that are the same, not parallel, otherwise b can be anything else. Since we have a point that the parallel line goes through, we can plug this in as (x, y) to solve for b: \(21=8(4)+b \implies21=32+b\implies -11=b\). So now this gives us the complete equation: \(y=8x-11\)

3. The image is a bit low quality, although from what I can see the linear equation intersects the origin (0, 0) and (4, -1). This gives us the equation for the slope -1/4 (rise/run). which gives is the slope -1/4. So this gives us the general equation: \(y=-\frac{1}{4}x+b \text{ where b} \ne0\). b cannot equal 0, since it would then have the same y-intercept, meaning the two lines would be the same. In this case we also get some coordinates which we can plug into the equation to solve for b: \(-5=-\frac{1}{4}(12)+b\implies -5=-3+b\implies-2=b\). This gives us the complete formula: \(y=-\frac{1}{4}x-2\)

4. This is similar to the vertical line, as there is a constant value, but in this case a slope can be defined, and that slope is 0; it's 0 for all horizontal lines. So we have the general equation: \(y=0x+b \text{ where b}\ne4\). This can be simplified to: \(y=b \text{ where b} \ne4\). Since the line passes through (13, -7), that means b must equal -7, because the y does not depend on x. It's a constant value. So you have the equation: \(y=-7\)

5. \(y-6=\frac{3}{5}(x+5)\). So in this case we have the point-slope form. We don't need to convert it to the slope-intercept form, since all we need to form the parallel line is the slope, sort of. You technically do need the y-intercept, so you know what b cannot equal, so that you don't have the same line, but I'm assuming, the coordinates they're giving you, do not pass through the original line, but rather a parallel line. So we have the general equation: \(y=\frac{3}{5}x+b\). Plugging the given coordinates give you the equation: \(8=\frac{3}{5}(0)+b \implies8=b\). You didn't really need to do this, since if you noticed the coordinates have x=0, which means the y-value by definition is what b is equal to, since b is the y-intercept. So this gives you the equation: \(y=\frac{3}{5}x+8\)

Answer:

16384x^7 / 823543        wirte like a fraction    

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

860 divided by 2 is 430 NOT 480

Answer:

lolllll

Step-by-step explanation:

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

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The probability of an element being selected is 0.1

The probability of an element being selected on the first selection from a simple random sample of 40 elements from a population of 400 is 0.1

Explanation: Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Probability is used in statistical analysis to make predictions and draw conclusions about data.

In this question, the population consists of 400 elements, and a simple random sample of 40 elements is to be drawn from it.

The probability of an element being selected on the first selection is the same as the probability of any one of the 400 elements being selected, which is 1/400 or 0.0025.

Therefore, the correct answer is option (d) 0.1

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Answer:

56.16

Step-by-step explanation: All you do is just multiply

Answer:

$1.67

Step-by-step explanation:

Given it's $1.12 for 12 eggs, we divide 1.12 by 12 to see how much it cost for 1 egg

1.12/12 = 0.093

so 0.093 cents for 1 egg

0.093x18 eggs = 1.674 = $1.67

Hope this helps, have a nice day :)

greetings i may be late but yes answer A is correct

Option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

The density, or more precisely, the volumetric mass density, of a substance is its mass per unit volume.

Given that the value of a substance’s specific gravity always the same numerically as its density.

Because density has units and specific gravity is dimensionless, the two are never the same, but they are numerically equal when three conditions are met

Density is measured in grammes per cubic centimetre, grammes per millilitre, or kilogrammes per litre

Density and Specific Gravity are measured at the same temperature

Hence, option A is correct, Because it is always the substance’s density divided by the density of water which is 1 g/cm 3

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Using the greatest common factor, it is found that the greatest number of cards that she can place in a row is of 14.

The number of cards for each family is given as follows:

We want to find a way to distribute them having the same number of cards in each row, hence this is possible finding the greatest common factor (GCF) of the numbers of 154 and 140.

The GCF is found factoring both numbers 154 and 140 simultaneously by prime factors, as follows:

154 - 140|2 (both 154 and 140 are divisible by 2).

77 - 70|7 (both 77 and 70 are divisible by 11).

11 - 7

There are no numbers for which both 11 and 7 are divisible by, hence the greatest number of cards that she can place in a row is:

gcf(154, 140) = 2 x 7 = 14.

The complete problem is:

April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row?

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The investment of the kelly at the end of 8 years is $7393.78.

It is given that

The principle P= $5000

rate of interest R=4.9%

The rate is compounded monthly so

\(CI=P(1+\dfrac{R}{12}^{12t} )\)

By putting the value

\(CI= 5000\times (1+\dfrac{0.049}{12}^{12\times8} )\)

\(CI=7393.78\)

Thus the investment of the kelly at the end of 8 years is $7393.78.

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Answer:

y = 1

x = 3

Step-by-step explanation:

y = 7 - 2x

x - 2y = 1

5x - 14 = 1

y = 7 - 2x

x = 3

y = 7 - 2x

y = 1

Answer:

number is - 60

Step-by-step explanation:

let n be the number , then

\(\frac{1}{4}\) n - 8 = - 23 ( add 8 to both sides )

\(\frac{1}{4}\) n = - 15 ( multiply both sides by 4 to clear the fraction )

n = 4 × - 15 = - 60

the number n is - 60

Answer:

-60

Step-by-step explanation:

1/4x-8=-23 (Add 8 to -8 & -23)

1/4x=-15 (Divide 1/4 by each side)

-15 Divided by 1/4

X=-60

Below are the Lindsay's dog pen's coordinates both before and after dilation and translation.

preimage  image (translation)          image (translation and dilation)

P (-6, 9)   →  P' (-2, 3)                   →   P'' (-4, 1)

Q (3, 9)    →  Q' (1, 3)                    →  Q'' (-1, 1)

R (3, 3)    →   R' (1, 1)                     →   R'' (-1, -1)

S (-6, 3)   →   S' (-2, 1)                   →   S'' (-4, -1)

Dilation is a transformation technique that can either enlarge or reduce the preimage depending on the scale factor.

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

Rule for translation 2 units down and 4 units to the left is below

(x, y) → (x - 2, y - 2)

Applying the rules to get the coordinates of the image

preimage      dilation            image        translation           image

P (-6, 9)  → (-6 * 1/3, 9 * 1/3) →  P' (-2, 3)  → (-2 - 2, 3 - 2)  →  P'' (-4, 1)

Q (3, 9)  → (3 * 1/3, 9 * 1/3)   →  Q' (1, 3)   → (1 - 2, 3 - 2)     →  Q'' (-1, 1)

R (3, 3)   → (3 * 1/3, 3 * 1/3)   →  R' (1, 1)    → (1 - 2, 1 - 2)      →  R'' (-1, -1)

S (-6, 3)  → (-6 * 1/3, 3 * 1/3) →  S' (-2, 1)   → (-2 - 2, 1 - 2)   →  S'' (-4, -1)

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Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

so

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

C

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = \(\sqrt{18}\) = \(\sqrt{9(2)}\) = \(\sqrt{9}\) × \(\sqrt{2}\) = 3\(\sqrt{2}\) → C

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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Answer:

you got this I believe in u and your talents

Step-by-step explanation

JESUS LOVES YOU BRO

16 can go into 120 7 times

Answer:

7.5

Step-by-step explanation:

120 ÷ 16

= 7.5

Answer:

8x + 1

Step-by-step explanation:

8x + 4 -3

Answer:

8x+1

Step-by-step explanation:

I dunno why my answer has to be at least 20 characters

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer:

480

Step-by-step explanation:

Take 20% of 2400

Answer:

1920

Step-by-step explanation:

20% of 2400 = 480

2400-480= 1920