x– 5x + 19 = 10 + 2x – 3

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

The supervisor calculates the mean number of miles that the employees in a department live from work and obtains the value  (x-bar).

The mean, denoted by x - bar (x-bar), is a statistical measure that represents the average value of a set of data. In this case, the supervisor is interested in determining the average distance in miles that the employees in a department live from their workplace.

By calculating x-bar, the supervisor obtains a single value that summarizes the central tendency of the data set.

The mean is computed by summing all the distances and dividing the sum by the total number of employees in the department.

It provides valuable insight into the typical commute distance of the employees and can be used for various purposes, such as evaluating transportation needs or planning employee benefits.

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Percent of the distribution falls between 100 and 175 pounds would be c. 10%. To answer this question, we need to use the standard normal distribution table or a calculator to find the percentage of the distribution that falls within a certain range of the mean.

In this case, the range is from 100 to 175 pounds, which is a distance of 75 pounds from the mean of 200 pounds.

We can use the standard normal distribution table or a calculator to find the percentage of the distribution that falls within one standard deviation of the mean. Since the standard deviation is 15 pounds, this means that approximately 68% of the distribution falls within one standard deviation of the mean.

To find the percentage of the distribution that falls within a range of 75 pounds, we can multiply this value by the proportion of the range to the standard deviation. In this case, the range is 75 pounds and the standard deviation is 15 pounds, so the proportion of the range to the standard deviation is 5. Therefore, approximately

5 * 68% = 34% of the distribution falls within the range of 100 to 175 pounds.

Therefore, the correct answer is (C) 10%.

Here is the calculation:

68% * (75 pounds / 15 pounds) = 34%

This means that approximately 34% of the distribution falls within the range of 100 to 175 pounds.

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The chi-square statistic is used to determine whether there are differences between two nominally scaled variables. Chi-Square is a statistical test used to compare two nominal variables to determine whether they differ.

The Chi-Square test is used to test for differences between two groups. When you want to compare groups or examine the relationship between two variables, this test is useful. The chi-square test is a method of statistical inference that can be used to compare observed frequencies with expected frequencies, allowing us to determine whether there is a meaningful difference between them. When the p-value obtained from a chi-square test is less than 0.05, it is generally considered statistically significant.

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The division of 16 - 8x - 7x² + 2x³ by x - 4 will have a quotient of 2x² + x - 4 and a remainder of 0 using synthetic division.

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall rearrange 16 - 8x - 7x² + 2x³ to become 2x³ - 7x² - 8x + 16 and then divide by x - 4 as follows;

2x³ divided by x equals 2x²

x - 4 multiplied by 2x² equals 2x³ - 8x²

subtract 2x³ - 8x² from 2x³ - 7x² - 8x + 16 will give x² - 8x

x² divided by x equals x

x - 4 multiplied by x equals x² - 4x

subtract x² - 4x from x² - 8x will give us -4x + 16

-4x divided by x equals -4

x - 4 multiplied by -4 equals -4x + 16

subtract -4x + 16 from -4x + 16 will result to a remainder of 0

Therefore by synthetic division, 16 - 8x - 7x² + 2x³ divided by x - 4 is equal to the quotient of 2x² + x - 4 with a remainder of 0.

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Answer:

No.  This graph does not represent a function.

Step-by-step explanation:

The easiest way to say it is that this is not a function because it does not pass the vertical line test.  This test takes all theoretical vertical lines that pass through a graph; if any vertical line intersects the graph more than once, the graph does not represent a function.

Another way to say it is that each input can correspond to only a single output.  So, for each x value, there can be only one y value.  It must be remembered that the reverse is not true; one output can correspond to more than one input (as in quadratic functions).  This is not the graph of a function because at the input x=2, for example, the output y equals -6, -2, 2, and 6.

To revisit the vertical line test, the vertical line x=2 intersects the graph four times.

This is not the graph of a function.

The equality of partial and Pearson correlations provides some insights into the relationship between X and Y, however, it is not sufficient to determine statistical significance, causality, range of scores.

The fact that the partial correlation is equal to the Pearson correlation does not automatically imply statistical significance. Statistical significance is determined by conducting hypothesis tests or calculating p-values, which require additional information such as sample size and significance level.

The statement (b) does not provide evidence of a causal relationship between X and Y. Correlation alone does not establish causality, as there may be other confounding factors or alternative explanations for the observed relationship.

The range of scores on X and Y cannot be inferred solely from the equality of partial and Pearson correlations. The range of scores depends on the actual data and variability within X and Y, which is not addressed in the statement.

The statement (d) suggests that the variable that was partialed out does not fully account for the correlation between X and Y.

However, it does not specify the nature of the variable or the method used for partial correlation. Further analysis and context are needed to draw conclusions about the role of the partialed-out variable.

In summary, while the equality of partial and Pearson correlations provides some insights into the relationship between X and Y, it is not sufficient to determine statistical significance, causality, range of scores, or the full explanation for the correlation observed. Additional analysis and considerations are necessary to make conclusions in these areas.

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A zero with odd multiplicity is the one where the graph crosses the x-axis. The multiplicities add up to n.

When there are even multiplicities, the graph of a polynomial function touches the x-axis at zeros. The x-axis will be crossed by the graph for odd multiplicities at zeros. The polynomial function's degree is equal to the sum of its multiplicities.

Specifically, the graph will cross the x-axis at the root if the multiplicity of a polynomial's roots is odd. When a polynomial's root has an even multiplicity, the graph touches the x-axis there but does not extend beyond it.

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The probability that at least one will have a defect if if 10 items are chosen at random is  0.65132.

binomial distribution is given as :

\(P(X=x) = (_{x} ^{n}) p^{x}q^{n-x} ; x = 0,1,2,3,........n\\q = 1 - p ;\)

where

x = number of times for a specific outcome within n trials

{n  x}=      number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

Let D be a random variable represents the number of defected items out of 10.

i.e., D(0,1,2,3,4,5,6,7,8,9,10)

probability that given items is defected is :

p = 0.1

q = 1 - p

q = 1 - 0.1 = 0.9

where

p = probability of defected items

q = probability of non-defective

then

D- bin(10,0.1)

P(D=0) = \(^{10} C_{0}{(0.1)^0}{(0.9)^{10}}\)

\(= \frac{10!}{0!(10-0)!} * (0.9)^{10}\)

= 0.3486784401

\(P(D\geq 1) = 1-P\)

1 - = 0.3486784401

= 0.65132

The probability that at least one will have a defect if if 10 items are chosen at random is  0.65132.

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The set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

What are integers ?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, .

According to the Property of Closure, A set has the closure property under a particular operation if the result of the operation is always an element in the set.  If a set has the closure property under a particular operation, then we say that the set is “closed under the operation.”

Hence ,  the set of integers is closed under the operation of addition because the sum of any two integers is always another integer and is therefore in the set of integers.

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Answer:

(5,725)1.045^5

Step-by-step explanation:

(5,725)1.045^5

5,725 is the original amt of $

1.045 is the % of interest

5 is the # of years

Solve this and round the nearest

cent.

Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer:

angle ABC is 130 degrees

Step-by-step explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.

Answer:

Dana crossed the finish line before Mari.

Step-by-step explanation:

\(2.08<2.12<2.21<2.25<2.50\)

Dana<Mari<Clair<Jason<Alex

Answer:

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

\(y - y_1 = m(x - x_1)\)

where

m is the slope

( x1 , y1) is the point

From the question

the slope is - 10

the point is (1,4)

So the equation of the line is

Hope this helps you

Answer:

tbh None of them really do..

Step-by-step explanation:

if one of them would work it would be b but you would have to change the slope which is the $ sign in front of the parantheses

The equation in point-slope form of the line that passes through the points (4, 5) and (-3, - 1) is y+1= (x+3).

The slope of a line is a measure of how steep a line is in mathematics. It is the ratio of the change in two points on a line's vertical (y) coordinates to the change in their horizontal (x) coordinates. Positive, negative, zero, or undefined slopes are all possible.

First, we need to find the slope of the line that passes through the given points:

slope = (change in y)/(change in x) = (-1-5)/(-3-4) = -6/-7 = 6/7

Now, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is a point on the line. We can choose either of the given points to plug in for (x1, y1). Let's use (4, 5):

y - 5 = (6/7)(x - 4)

Expanding and rearranging, we get:

y = (6/7)x + (17/7)

Thus, the answer is: y + 1 = (x + 3)

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The reflected point of (9, 8) over x- axis is (9, -8).

We have point (9, 8).

We know the rule to reflect over x axis is

Negate the value of the y-coordinate of each point, but leave the x-value the same.

i.e., (x, y)  ->  (x, -y).

So, the reflection of point over x axis is

(9, 8) - > (9, -8).

Thus, the image of point is (9, -8).

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Answer:

10,20,10,10,10,20 tenths

Answer:

12.2

Step-by-step explanation:

The mean is the average, so we add up the number of movies, and divide by 6 beacause they are reported by 6 students

Mean (Average) = (12+17+8+13+5+18) / 6

Mean (Average) = 73 / 6

Mean (Average) = 12.16666667

The problem asks us to round to the nearest tenth, which is the first decimal place.

Since the 2nd decimal place, 6, is more than 5, we round the first decimal place up to one and remove the rest.

12.2

Answer:2520 pounds can be eaten by a herd of 18 elk in one week.

Step-by-step explanation:

Given: A elk an eat 20 pounds of plants in one day .

Now , Quantity of plants eaten by a herd of elk  = (Quantity of plants eaten per day) x (Number of elks ) x (Number of days)

So, the quantity of plants a herd of 18 elk can eat in one week = 20 x 18 x 7   [1 week = 7 days]

= 2520 pounds

Hence, 2520 pounds can be eaten by a herd of 18 elk in one week.

Answer:

points

Step-by-step explanation:

Answer:

743.8915 grams; 743891.5 milligrams

Answer:

-9/6

Step-by-step explanation:

Answer:

-3/2    -1/2     -1.5

good luck!!!!

Answer:

20

Step-by-step explanation:

Answer:

the turning point is (-1,2)

Step-by-step explanation:

Answer:

11.6 is right

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

17+9+11+7 divided by 4

because the mean= sum of the terms divided by the number of terms

the sum= 17+9+11+7=44

the number of terms= 4

44 divided by 4= 11

Answer:

(17+9+11+7) / 4 mean is an average

it is equal to the sum of the elements divided by the number of elements

the sum is 44

the number of elements is 4

the mean is the average= 44/4=11

Step-by-step explanation: i dont know why they would ask that

Answer:

     \(\frac{15*7^{x} }{7^{x} +9}\)

Step-by-step explanation:

→ Substitute f(x) into g(x)

     \(\frac{15*7^{x} }{7^{x} +9}\)

According to it's definition, the degrees of the polynomials are given, respectively, by: 0, 9, 1, 5.

It is given by the highest exponent of the polynomial.

Then:

Hence those are the degrees.

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Answer:

0

9

2

5

Step-by-step explanation:

got it correct on edg

Answer:

True

Step-by-step explanation:

Solutions to quadratic equations are often called

roots / zeros / x- intercepts