A freight train passes through 750

Line segments can be divided into sub-segments.

The value of DF is 18

The given parameters are:

\(\mathbf{BE = 3x + 6}\)

\(\mathbf{DF = 7x + 4}\)

We have:

\(\mathbf{BE + DF = 30}\)

So, we have:

\(\mathbf{3x + 6 + 7x + 4 = 30}\)

\(\mathbf{10x + 10 = 30}\)

Subtract 10 from both sides

\(\mathbf{10x = 20}\)

Divide both sides by 10

\(\mathbf{x = 2}\)

Substitute \(\mathbf{x = 2}\) in \(\mathbf{DF = 7x + 4}\)

\(\mathbf{DF = 7 \time 2 + 4}\)

\(\mathbf{DF = 14 + 4}\)

\(\mathbf{DF = 18}\)

Hence, the value of DF is 18

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

Positive, the slope is 7/5

Step-by-step explanation:

Answer: The slope of the line is Positive.

Answer:

23 adult tickets and 92 children tickets

Step-by-step explanation:

Answer:

he sold 23 adults tickets and 93 children

Step-by-step explanation:

Check the picture below.

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

B. 60°, 60°, 60°

Step-by-step explanation:

All triangle angles add up to 180

A) NOPE

50 + 45 + 45 = 140

B) YUP

60 + 60 + 60 = 180

C) NOPE

70 + 70 + 70 = 210

D) NOPE

80 + 55 + 25 = 160

Answer:

I got 30

Step-by-step explanation:

6 quarts that means 3 is water 3 is alcohol

When you add in a gallon you get 4 more quarts of water right?

That would be 7 quarts of water and 3 quarts of alcohol

7+3=10 3/10 to x/100 x= 30%hope this is correct and hope it helps :)

Answer:

9 and 10

Step-by-step explanation:

x = 1st positive integer

x+1 = 2nd positive integer

(x+1) is the next positive integer after x (Ex. 3 aka 2+1 is next integer after 2).

Larger Integer: x+1  ==> being squared

Smaller Integer: x ==> being multipled by 9

9x + 19 = (x+1)^2  ==> the square of (x+1) is 19 more that 9 multiplied by x.

9x + 19 = (x+1)(x+1)  ==> simplify

9x + 19 = x(x+1) + 1(x+1)   ==> distribute (x+1) to x and 1.

9x + 19 = (x*x + 1*x) + (1*x + 1*1)  

9x + 19 = x^2 + x + x + 1  ==> simplify

9x + 19 = x^2 + 2x + 1

19 = x^2 - 7x + 1  ==> subtract 9x on both sides

Make one side of the equation equal to 0 so you can factor the equation:

0 = x^2 - 7x - 18  ==> subtract both sides by 19

0 = x^2 + 2x - 9x - 18  ==> 2x - 9x = -7x and 2 * (-9) = -18

0 = x*x + 2x - 9x - 18  

0 = x(x + 2) - 9(x + 2)  ==> factor

0 = (x - 9)(x + 2)

x - 9 = 0         x + 2 = 0

x = 9                     x = -2

Out of x = 9 and x = -2, only x = 9 is positive.

Hence, x = 9 and x+1=10.

Hence, the answers are 9 and 10.

Maxima set is {(6, 9)}.

To find the maxima set from the given set of points, we need to identify the points with the highest y-values.

Step 1: Examine the y-values of the given points.

(7, 2), (3, 1), (9, 3), (4, 5), (1, 4), (6, 9), (2, 6), (5, 7), (8, 6)

Step 2: Identify the highest y-value among the points.

In this case, the highest y-value is 9.

Step 3: Find the points with the highest y-value.

There is one point with a y-value of 9: (6, 9)

Step 4: Create the maxima set.

The maxima set consists of the point(s) with the highest y-value: {(6, 9)}

So the maxima set is {(6, 9)}.

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The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

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

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

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Answer:

11:45

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

28.4x

&

3x

&

9.5x

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Explanation:

The mode is the most frequent value. We see that "15" shows up a total of 4 times, which is the most of the the unique values {11, 12, 13, 14, 15}.

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer: 17% increase

Step-by-step explanation:

Percentage increase/decrease = (final value - initial value) / initial value x 100
% change = (1,544,400 - 1,320,000) / 1,320,000 x 100
% change = 224,400 / 1,320,000 x 100
% change = 0.17 x 100
% change = 17% increase

Answer:

no

Step-by-step explanation:

perpendicular means that they intersect at a 90° angle

Answer:

3

Step-by-step explanation:

The Answer would be Option A) No, the lines have unequal slopes.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Slope of first line,

\(m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}\)

Slope of second line,

\(n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1\)

Thus, The Answer would be Option A) No, the lines have unequal slopes.

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Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

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occurringGiven a total of 52 playing cards, comprising of Club, Spade, Heart, and Spade.

Probability of an event is given as

Probability of choosing a club is evaluated as

Probability of choosing a spade, without replacement

Thus, the probability of both events occuring (choosing a club, and then without replacement a spade) is given as

Hence, the probability of choosing a club, and then without replacement a spade is

Based on the given information, we cannot determine which theater the Musical was projected in. We can only eliminate certain possibilities.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the given information, we can use a process of elimination to determine which theater the Musical was projected in:

Only one couple has the same initial in their names, and they watched a Musical.

This means that the couple who watched the Musical has the same initial in their names, but we don't know which couple it is yet.

Nobody went in the theater with the same initial as his/her name.

This means that none of the couples watched a movie in a theater that has the same initial as either of their names.

Anthony didn't watch a Romance nor a Thriller.

This means that Anthony did not watch a Romance or a Thriller, but we don't know which theater he was in yet.

Sci-fi, which was not in theater A, wasn't watched by Anne nor Dahlia.

This tells us that neither Anne nor Dahlia watched a Sci-fi movie, but we don't know which theater they were in yet.

Among Celine and Daniel, one of them watched a Thriller, the other was in theater A.

This means that either Celine or Daniel watched a Thriller and the other was in theater A, but we don't know which one was in which theater yet.

Anne didn't watch a Thriller. Carl didn't watch a Musical. Bernadette didn't go to theater D.

This means that Anne did not watch a Thriller, Carl did not watch a Musical, and Bernadette was not in theater D, but we still don't know which theater the Musical was in.

Bruce and Carl didn't sit in nearby theaters.

This tells us that Bruce and Carl were not in adjacent theaters, but we still don't have enough information to determine which theater the Musical was in.

Therefore, Based on the given information, we cannot determine which theater the Musical was projected in. We can only eliminate certain possibilities.

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Whole foods, a grocery and health food store, is ready to open a new location in dallas, texas. executives at whole foods would like to gather research to determine which dallas neighborhood to build in. whole foods uses information from esri's tapestry segmentation to identify dallas zip codes with the highest concentration of their target audience. Whole foods is utilizing research services  of secondary data.

What does marketing research mean?

Marketing research is the methodical collection, logging, and analysis of qualitative and quantitative data regarding problems pertaining to the marketing of goods and services. Finding and evaluating how shifting aspects of the marketing mix affect consumer behavior is the aim.    

                               Information that is pertinent to decision-making is provided by marketing research, which benefits marketing management. In addition to not making judgments or ensuring success, marketing research is not autonomous.

What kind of internal secondary data might be used for marketing research?

Secondary data sources typically come from a company's internal data, such as sales and marketing records, customer account information, and data on product purchases and usage.

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Answer:

O y = -5x + 7

Step-by-step explanation:

\(5x + y = -2 \\y = -5x - 2\)

the slope of this line is -5 so the slope of a parallel line will also have to be -5

put it in point slope form:

y - - 3 = -5(x - 2)

y + 3 = -5x + 10

y = -5x + 7

Answer:

It would be the last one.

Step-by-step explanation:

hope this is correct