24. Find the scale factor of ABCD to
EFGH.

There is a 95.52% chance that there are no customers in the system, a 9.93% chance that a customer has to wait in line, and a 31.20% chance that the server is busy.

λ = 2.6  guests per hour( Poisson  appearance rate)  μ =  1/ 12 hours per  client( exponential service rate)  c =  1 garçon( design adviser )  Using Little's Law, we can find the average number of  guests in the  staying line   L =  λ * W  

where W is the average time a  client spends in the system(  staying and being served). To find W, we can use the formula  

W =  1/( μ- λ)   Using these formulas, we get  

W =  1/(1/12-2.6) = 0.1154

hours = 6.92  twinkles

L = 2.6 *0.1154 = 0.3000  guests

 So on average, there will be0.3  guests  staying in line and each  client will  stay for6.92  twinkles before being served.

 We can also  cipher the probability that there are no  guests in the system(P_0), the probability that a  client has to  stay(P_w), and the probability that the garçon is busy

(P_b)   =  1- λ/ μ

= 0.9552  

 λ/ μ2 *( 1/( 1- λ/ μ)) = 0.0993  =  λ/ μ = 0.3120

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Answer:

Step-by-step explanation:

the answer is (10,2) in point form, in equation form it is x=10, y= -2.

Answer:

a. Attached to this response.

b. Slope of AB = -3

Slope of BC = 2/3

Slope of AC = -1/4

c. No, this triangle is not a right triangle because the vertical leg of a right triangle is perpendicular to the base of a right triangle. In ΔABC, the vertical leg is AB, and the base is BC. AB is not perpendicular to BC because two lines that are perpendicular to each other have a slope that has the opposite sign and is the reciprocal of each other. The slope of AB is -3, and the slope of BC is 2/3. 2/3 is not the opposite reciprocal of -3. Therefore, ΔABC is not a right triangle.

The sides of the triangle ABC are not satisfying the Pythagoras theorem so, it is not a right-angle triangle.

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices. This geometry is known as a triangle.

Given:

In △ ABC, the coordinates of vertices A and B are A(−2,4) and B(−1,1) C (2,3),

Calculate the length of the AB, BC, and AC as shown below,

AB = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

AB = √[(-1 - (-2))² + (1 - 4)²]

AB = √[1² + (-3)²]

AB = √10

BC = √13,

AC = √17

Here, apply Pythagoras theorem as shown below,

AC²  = AB² + BC²

(√17)² = (√10)² + (√13)²

17 = 10 + 13

17 = 23

As you can see, it does not satisfy Pythagoras theorem hence, it is not a right-angle triangle.

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Answer:

56.89

Step-by-step explanation:

4120/18 = 228.8888889

228.8888889 - 172 = 56.8888889

Answer:

Step-by-step explanation:

Hello, it means that the number is

57 * 37 + 29 = 2138

Thank you

The intersection of a triangle in a regular pentagon can be 2 points (option c).

Triangles are an essential part of geometry and can be found in various shapes and figures. One such figure is a regular pentagon, which is a five-sided polygon with equal sides and angles.

The answer to this question is (C) 2 points. When a triangle intersects a regular pentagon, it can only do so at two points.

However, if the triangle intersects the pentagon at three points, then it must pass through the center of the pentagon.

This is not possible since the center of a regular pentagon is equidistant from its vertices, and no triangle can pass through it without intersecting at least two sides of the pentagon.

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We can say that 219 respondents believed that growth in Utah Valley had deteriorated the quality of life.

Percentage, which represents a proportion of the total sample size. To be more specific, it indicates that 54% out of the 405 Utah County residents surveyed believed that growth in Utah Valley had deteriorated the quality of life.

To calculate the actual number of respondents who held this view, we can multiply the percentage by the total sample size:

54% x 405 = 218.7

Rounding up to the nearest whole number, we can say that 219 respondents believed that growth in Utah Valley had deteriorated the quality of life.

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The fuel remaining after the tenth hr is 42,000 Pounds. It can be solved by multiplication and subtraction techniques.

What is multiplication?
When a quantity is added many times then the process is called multiplication. For example if 2 is added 10 times then the result will be 20. In terms of multiplication it can be written as 2 X 10 = 20.

After the first hour fuel in the plane is 150,000 pounds. Hence, calculate the amount of fuel consumed in 9 hr to find the remaining fuel after the tenth hr.

The four engines consume a total of 12,000 in one hr. Hence, total fuel consumed in 9 hr = (Fuel consumed in one hr)(Total hr)

                              = (12000 Pounds)(9 hr)

                              = 108,000 Pounds

Now, fuel remaining after the tenth hr = 150,000 - 108,000

                                                               = 42,000 Pounds

Hence, the fuel remaining after the tenth hr is 42,000 Pounds. It can be solved by multiplication and subtraction techniques.

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Answer:

I think its this

Step-by-step explanation:

x=380=2632≈26.6

Answer:

2/3, 7/9, 3/5

Step-by-step explanation:

We can setup each fraction to compare each one to another by multiplying for common denominators

7/12 and 6/11 have a common denominator of 132, so multiple each fraction by the number that gets each denominator to 132

(7/12) * 11 = 77/132 and (6/11) * 12 = 72/32

77/132 > 72/132, so that is false

7/12 and 3/8 have a common denominator of 24, so multiply each fraction by the number that gets each denominator to 48

(7/12) * 4 = 28/48 and (3/8) * 6 = 18/48

28/48 > 18/48, so that is false

7/12 and 2/3 have a common denominator of 12, so multiply each fraction by the number that gets each denominator to 12

(7/12) * 1 = 7/12 and (2/3) * 4 = 8/12

7/12 < 8/12 so that is true

7/12 and 1/12 already share a common denominator, so we can already tell that 7/12 > 1/12, making it false

7/12 and 7/9 share a common denominator of 72, so multiply each number accordingly

(7/12) * 6 = 42/72 and (7/9) * 8 = 56/72

42/72 < 56/72, making it true

7/12 and 3/5 share a common denominator of 60, so multiply each number accordingly to get a matching denominator

(7/12) * 5 = 35/60 and (3/5) * 12 = 36/60

35/60 < 36/60, making it true

Answer:

2/3 is greater

Step-by-step explanation:

I took the long route, but I worked out the lowest common multiples of the denominator using prime factorization, which led me to 1980. I then divided each of the denominators by 1980 which would give me the number I would need to multiply the denominators by to get me to 1980. I then multiplied the numerator by the numbers that the denominators would be multiplied by to get to the 1980. For 7/12 I got 1155/1980 which meant that I only had to find a numerator higher than 1150. I did thus which the rest of the fractions and I got 1320/1980 which is higher than than the numerator for 7/12.

When conducting a t-test for independent means, the best way to reduce variance is to use a control group.

When conducting a t-test for independent means, the best way to reduce variance is to use a control group. Control groups can help reduce variance by ensuring that both groups are exposed to the same conditions, except for the variable being tested. By controlling for all other factors, researchers can isolate the impact of the variable under investigation, which in turn can reduce the variance in the results.

When conducting a t-test for independent means, a control group is typically used to test the effect of a particular treatment or intervention. The control group is exposed to the same conditions as the experimental group, except for the variable being tested. By ensuring that both groups are exposed to the same conditions, researchers can control for other factors that could affect the results of the test.

In conclusion, when conducting a t-test for independent means, the best way to reduce variance is to use a control group. The control group can help control for all other factors except for the variable being tested, which in turn can reduce variance in the results.

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If f(x) = x - 5, then

f(h) = h - 5

f(x + h) = (x + h) - 5

(f(x + h) - f(x))/h = (((x + h) - 5) - (x - 5))/h

(f(x + h) - f(x))/h = (x + h - 5 - x + 5)/h

(f(x + h) - f(x))/h = h/h

(f(x + h) - f(x))/h = 1

since h ≠ 0.

The expressions of the functions are:

f(h) = h - 5

f(x + h) = x + h - 5

[f(x + h) - f(x)] / h = 1

Given the function f(x) = x - 5, let's calculate the following expressions:

f(h):

To find f(h), we substitute h into the function:

f(h) = h - 5

f(x + h):

To find f(x + h), we substitute (x + h) into the function:

f(x + h) = (x + h) - 5

= x + h - 5

[f(x + h) - f(x)] / h:

To find [f(x + h) - f(x)] / h, we substitute (x + h) and x into the function:

[f(x + h) - f(x)] / h = [(x + h) - 5 - (x - 5)] / h

= (x + h - x + 5 - 5) / h

= h / h

= 1

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9514 1404 393

Answer:

Step-by-step explanation:

Angle BCA intercepts arc FB, so is half its measure: 60°/2 = 30°.

Angle FHC is half the sum of the angles intercepted by its chords: (60°+150°+40°)/2 = 125°.

Angle A is half the difference of the arcs it intersects: (150° -60°)/2 = 45°.

Angle GBC is half the measure of the arc it intercepts: 150°/2 = 75°.

arc EBC is the sum of arcs EF, FB, and BC: 50° +60° +150° = 260°.

Answer:

5,4 and 4,4

Step-by-step explanation:

Answer:

y=-4

I think it helps you

Step-by-step explanation:

\(\tt{-y+6y-16y+15y=-16 }\)

\(\tt{ 21y-17y=-16 }\)

\(\tt{4y=-16 }\)

\(\tt{ y=\dfrac{-16}{4} }\)

\(\bold{ y=-4 }\)

To find the domain and range of a piecewise function, you will need to consider each piece separately and then combine the results. First Identify the domain of each piece, then Identify the range of each piece and Combine the domains and ranges

Note: Sometimes you may find that domain or range of a certain piece is not mentioned in the function, in that case, you can assume it to be the default domain or range of real numbers.

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Answer:

35% of 40 = 14; 40 - 14 = 26.

Step-by-step explanation:

The friend added the 35% (14) of 40 instead of subtracting, which is what we'd need to do in this situation since the question says 35% off.

Since they added the 14, it came out of $54.00 which is incorrect. The true value (with discount) = $26.00.

Using inequality concepts, the compound inequality is given by:

\(50 \leq P \leq 90\)

------------------

\(a \leq x \leq b\)

------------------

\(50 \leq P \leq 90\)

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Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and

f(x) = x³ - 3x² - x + 7 , then

f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1

Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)

Answer:

6 papers a day

Step-by-step explanation:

Answer:

You save 36 dollars.

Step-by-step explanation:

30% of 120 is 36.

You spend $84

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

Step-by-step explanation:

STEPS USING FACTORING

a  

2

−13a+42=0

To solve the equation, factor a  

2

−13a+42 using formula a  

2

+(a+b)a+ab=(a+a)(a+b). To find a and b, set up a system to be solved.

a+b=−13

ab=42

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 42.

−1,−42

−2,−21

−3,−14

−6,−7

Calculate the sum for each pair.

−1−42=−43

−2−21=−23

−3−14=−17

−6−7=−13

The solution is the pair that gives sum −13.

a=−7

b=−6

Rewrite factored expression (a+a)(a+b) using the obtained values.

(a−7)(a−6)

To find equation solutions, solve a−7=0 and a−6=0.

a=7

a=6

Using the concept of integer it can be concluded that Awad's claim is false.

Integer, a positive, negative, or 0 with a complete value. The counting numbers 1, 2, 3, and so forth are used to create the integers, together with the subtraction process. A counting number can be divided by itself and the result is always zero; for instance, 4 divided by 4 equals 0. The result of subtracting a larger number from a smaller one is a negative whole number; for instance, 2 - 3 = 1. By deriving each integer in this way from the counting numbers, a set of numbers that can be closed with the subtraction operation is produced.

You can have positive or negative numbers. Negative numbers are frequently surrounded by brackets to make them simpler to read, for example (-2). Positive numbers typically don't have the + before the number. 3 is actually +3. Positive and negative number combinations can be confusing to add and multiply, thus caution is advised.

Subtraction and Addition

Two "pluses" equal a "plus," and two "minuses" equal a "plus." A negative is made up of a plus and a minus.

Whenever you subtract a negative number, you always end up adding because two negatives make a positive. For example,

n = 4

m = -3

then,

4-(-3) is going to turn into 4+3 = 7.

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Step-by-step explanation:

\(tan = \frac{opposite}{adjacent} \)

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer:

7

Step-by-step explanation:

Have a good day :)

Answer:

70% of $10 = $7

...............................

Answer:

x=4/5

Step-by-step explanation:

5x+1=5

5x=4

x=4/5

As the x-values go to positive infinity, the function's values go to positive infinity, Option D is the correct answer.

A function is a mathematical statement that relates an independent variable with a dependent variable .

The graph is given in the question and the statement that correctly matches to the behaviour shown is asked .

When X values is increasing , the y value is increasing and

when the x value is decreasing the y value is also decreasing

Therefore the correct Option that can be chosen from the given is Option D

As the x-values go to positive infinity, the function's values go to positive infinity.

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Answer:

13.04

Step-by-step explanation:

since 100 is 1/4 of 400, you divide 52.16 by 4