The area of a rectangle is 525 square centimeters. The ratio of the length to the width is 8/3 3. Find the length and the width.

Answer:

The ordered pair associated with a t-value of -1 is (-3, 1).

Step-by-step explanation:

Substitute the t-value, or -1, into both of the equations to find the pairs.

x = t - 2

x = (-1) - 2

x = -3

y = t^2

y = (-1)^2

y = 1

The ordered pair associated with a t-value of -1 is (-3, 1).

Answer:

How are we supposed to do this do we just write out every answer? :D

Step-by-step explanation:

The American Housing Survey is conducted annually by the Bureau of the Census to gather data on the distribution of occupied housing units in the United States.

Using data from the 2003 survey, the distribution of occupied housing units by the number of rooms can be found. To visualize this data, histograms can be drawn separately for owner-occupied and renter-occupied units.

It is important to note that "10 or more" mean 10 or 11, as very few units have more than 11 rooms.

(a) The This could be due to rounding errors or differences in sample sizes between the two groups.

(b) The percentage of one-room units is much smaller for owner-occupied housing. This is not necessarily because there are more owner-occupied units in total, but could be due to differences in the length preferences and financial means of renters versus owners.

(c) It is unclear which group, on the whole, has larger units without additional information about the distribution of rooms.

To know more about length click here

brainly.com/question/30625256

#SPJ11

Answer:

No

Step-by-step explanation:

The sample size wasn't big enough. It could only be a trend in that grade.

Answer:

Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.

Step-by-step explanation:

Answer:

42.5

Step-by-step explanation:

It equals 90 degrees because it's a right angle, so:

3 + 2 = 5

90 - 5 = 85

Since there is space at the top, you need to have the correct amount for both sides. So:

85 ÷ 2 = 42.5

The area of the given figure which has the shape of a trapezium would be = 58.5cm²

To calculate the area of the trapezium given above, the formula for area of a trapezium should be used and this is given below;

Area of a trapezium= 1/2(a+b)h

Where;

a= 12cm

b= 7.5cm

height= 6cm

Area of trapezium = 1/2(12+7.5) × 6

= 19.5×3 = 58.5cm²

Therefore, the area of the given shape above is calculated as 58.5cm²

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

a) The probability that there will be an accident on Highway 48 today is 0.36%.

b) The probability that the weather today was wet given that there was an accident on Highway 48 is approximately 55.56%.

a) To find the probability that there will be an accident on Highway 48 today, we need to consider both the probability of an accident when it's dry and when it's wet, and the probability of each type of weather. We can use the formula: P(A) = P(A|B) × P(B) + P(A|B') × P(B'), where A represents an accident, B represents wet weather, and B' represents dry weather.
P(A) = P(Accident|Wet) × P(Wet) + P(Accident|Dry) * P(Dry)
P(A) = (0.01) × (0.2) + (0.002) × (0.8)
P(A) = 0.002 + 0.0016
P(A) = 0.0036
b) To find the probability that the weather was wet given that there was an accident on Highway 48, we can use Bayes' theorem: P(B|A) = (P(A|B) × P(B)) / P(A)
P(Wet|Accident) = (P(Accident|Wet) × P(Wet)) / P(Accident)
P(Wet|Accident) = (0.01 × 0.2) / 0.0036
P(Wet|Accident) = 0.002 / 0.0036
P(Wet|Accident) = 0.5556

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

Answer: 54

Step-by-step explanation:

71-7= 54

Uhm... What grade are you in?

Hope this helps!

1) isolate

2a) opposite

2b) sign

1) delete

2a) flip

2b) reciprocal

isolate

opposite

sign

Delete

flip

Reciprocal

Answer:426m^2

Step-by-step explanation:

By applying the principle of inclusion-exclusion, we can show that for any events E1, E2,..., EM, the inequality P(E1 or E2 or ... or EM) < P(EM) holds. This result holds true for any integer M ≥ 1.

To prove the statement by induction, we will assume that for M = 1, the inequality holds true. Then we will show that if the statement holds for M, it also holds for M + 1.

Base case (M = 1):

For M = 1, we have P(E1) ≤ P(E1), which is true.

Inductive step:

Assuming that the inequality holds for M, we need to show that it holds for M + 1. That is, we need to prove P(E1 or E2 or ... or EM or EM+1) < P(EM+1).

Using the principle of inclusion-exclusion, we can express the probability of the union of events as follows: P(E1 or E2 or ... or EM or EM+1) = P(E1 or E2 or ... or EM) + P(EM+1) - P((E1 or E2 or ... or EM) and EM+1). Since events E1, E2, ..., EM, and EM+1 are mutually exclusive, the last term on the right-hand side becomes zero: P(E1 or E2 or ... or EM or EM+1) = P(E1 or E2 or ... or EM) + P(EM+1)

Since we assumed that P(E1 or E2 or ... or EM) < P(EM), we can rewrite the inequality as: P(E1 or E2 or ... or EM or EM+1) < P(EM) + P(EM+1)

Now we need to show that P(EM) + P(EM+1) < P(EM+1) for the inequality to hold. Simplifying the expression, we have: P(EM) + P(EM+1) < P(EM+1)

Since P(EM+1) is a probability and is always non-negative, this inequality holds true. Therefore, by the principle of mathematical induction, we have shown that for any integer M ≥ 1, the inequality P(E1 or E2 or ... or EM) < P(EM) holds.

to learn more about  principle of inclusion-exclusion, click: brainly.com/question/32097111

#SPJ11

Answer:

Identity element property

Step-by-step explanation:

The property that justifies the step 3 is the identity element property.

Mathematically, the identity element is that number such that performing an arithmetic operation such as addition or multiplication with the number gives back the number we started with

For addition, the identity element is 0

while for multiplication, the identity element is 1

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Answer:

A

Step-by-step explanation:

y=-2 when x=-4 y=-4 when x=-8

what's given: 4. what's given:2

-4k=-2. -8k=-4

-4/4. -2/4. -8/8. -4/8

k=0.5. k =0.5

0.5(2) =1. 0.5(2)=1

Answer:

Step-by-step explanation:

You want to identify the proportional relations in the given tables and equations, and you want to find and use the constant of variation given that y=35 when x=7.

A proportional relation is one that has an equation of the form ...

  y = kx

One variable is a constant multiple of the other. If the relation cannot be put in this form, it is not a proportional relation.

The value of k in the above equation can be found as ...

  k = y/x . . . . . . . divide both sides by x

This is a constant if the relation is proportional.

  y/x = -8/-4 = -4/-2 ≠ 18/6 . . . . . not a proportional relation

  y/x = -4/-5 ≠ 10/2 . . . . . not a proportional relation

  y/x = -12/-3 = 24/6 = 32/8 = 4 . . . . . a proportional relation

You are looking for equations of the form y = kx. The only ones having that form are ...

The others represent inverse proportions and a linear (not proportional) relation.

As we saw above, the constant of variation is ...

  k = y/x = 35/7

  k = 5

Then the value of x can be found from ...

  49 = 5x

  49/5 = x = 9.8

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

An equilateral triangle is a type of triangles which can always be used as a counterexample to the statement ""all angles in a triangle are acute"".

An acute angle is one that is smaller than 90 degrees in length. If the arms of an angle open up less than a "L," an acute angle is created because a "L" shape forms at 90°.

Angle between 90 to 180 are known as obtuse angle.

Because an equilateral triangle is likewise equiangular, it can be used as a counterexample. So, each angle has a 360/3=60 measurement. Two angles are therefore acute, and the third's measure is also acute.

To learn more about equilateral triangle visit the link:

https://brainly.com/question/30008237

#SPJ4

To find the missing value of x in a triangle, subtract the sum of the two angles from 180 degrees.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Having three edges and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C.

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

3

Step-by-step explanation:

Diagonals of an isosceles trapezoid are congruent, so:

\(3x+18=11x-6 \\ \\ 18=8x-6 \\ \\ 8x=24 \\ \\ x=3\)

Answer:

35.)   80

36.)   11

37.)   15

38.)   21

39.)   -9

40.)   -1

Step-by-step explanation:

In simplified terms the question is asking

35.)   g(f(-1)) =

         g(-9) = 80

36.)   f(g(2)) =

         f(3) = 11

37.)   g(f(0)) =

        g(-4) = 15

38.)   f(g(root6)) =

         f(5) = 21

39.)   f(g(0)) =

         f(-1) = -9

40.)   g(f(4/5)) =

         g(0) = -1

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%

Answer:

15%

Step-by-step explanation:

\(\frac{138}{120}\)×100=

1.15

115%

Increase in 15%

Answer:

64

Step-by-step explanation:

because the next number is equal to the same

Answer:

256

Step-by-step explanation:

Look closely at the stated list in the question:

1=4

2=16

3=64

Notice that the second number is reached by taking the first number and placing it as an exponent to 4.

4^1=4

4^2=16

4^3=64

So the missing number must be 4^4 which is equal to 256

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

To know more about Delay, visit

https://brainly.com/question/14805406

#SPJ11

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

Learn about Conics

brainly.com/question/29767685

#SPJ11

Answer:

the answer is A. y=-2x+3

i hope this helps

Answer:

(500÷1.8)÷60

By dividing 1.8 out of 500, u can know

Answer:

actually the answer is 1

Answer:

enjoy it .................

Answer:

Translates up 1 and to the left 2

Step-by-step explanation:

I'm not completely sure if this is right but I hope it helps :/