Select all true statements.

A. All rectangle are squares.

B. All rectangle are parallelograms.

C. All rhombus are parallelograms.

D. All squares are rectangle.

E. All squares are rhombuses.

F. All trapezoid are parallelograms.​

a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.

b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.

a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:

L(x) = 2.5 - 0.015x

where x is the number of days after January 1.

b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.

L(x) = 2.5 - 0.015x

0.015x = 2.5 - L

x = (2.5 - L)/0.015

Therefore, the equation for \(L^{-1}\)(x) is:

\(L^{-1}\)(x) = (2.5 - x)/0.015

This equation gives the number of days (x) required for the water level to reach a certain level (L).

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The question is -

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level L(x) (in ft), x days after January 1.

b. Write an equation for L^{-1} (x).

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

120

Step-by-step explanation:

The length of the segment /AE/ as shown in the image is 46.

Length is the length between two points.

To calculate the length of segment AE, we use the formula below

Formula:

To get /AC/ and /CE/ we use Pythgoras theorem.

For /AC/ we solve triangle ABC using Pythagoras formula.

/AC/² = 21²+20²

/AC/² = 841

/AC/ = √841

/AC/ = 29

Similarly, to get /CE/, we use Pythgoras formula to solve triangle CDE

Therefore, we subtitute the values of /AC/ and /CE/ into equation 1 to get /AE/.

Hence, the length of the segment /AE/ = 46.

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Answer:

It is $2.33 per pound I think

Answer:

3

Step-by-step explanation:

If we write it out, the equation will be 3x-5/7 = 4/7. So first, we can multiply 7 by both sides to get 3x - 5 = 4. Next, we can add 5 to both sides to get 3x = 9. Lastly, we'll divide 3 by both sides to get x = 3.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Step-by-step explanation:

-x+6=-2(x+2)-5

Solve for x

-x + 6 = -2(x + 2) - 5

-x + 6 = -2x - 4 - 5

x = -15

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

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

x = -15

a) The Standard Deviation measures the dispersion of a data set. A high value means your data is spread out, while a lower value means the data is tightly clustered.

b) The Mean measures the central value of a data set. This is typically the best measurement of the true value.

c) The accuracy of a series of measurements is best understood by looking at the Standard Deviation of the Mean.

d) The precision of a series of measurements is best understood by looking at the Standard Deviation.

e) If you double the number of measurements taken, only the Standard Deviation of the Mean changes by a meaningful amount.

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Answer:8x+12

Step-by-step explanation:

Answer:

17.6

Step-by-step explanation:

Answer:

Answer choice A

Step-by-step explanation:

This is the midpoint of both coordinates.

The ladder would reach a distance of 6 feet up the wall.

This is a theorem that can be used to determine the unknown side of a right angled triangle. It is given as:

/hyp/^2 = /opp/^2 + /adj/^2

In the given question, the ladder is placed a against a vertical wall of a building. Given that the bottom of the ladder is 8 feet to the base of the building. Therefore this is would form a right angled triangle, such that the Pythagorean theorem can be applied.

So that, let the height of the ladder on the wall be represented by t. Then;

10^2 = t^2 + 8^2

100 = t^2 + 64

t^2 = 100 -64

     = 36

t = (36)^1/2

t = 6 feet

Thus the ladder is placed 6 feet up the vertical wall.

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please see analysis

\(\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE\)F

\((SSS\ Congruence\ Postulate)\)

\(2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}\)

\(\bar{AT}\cong\bar{ED}\)

\(\overline{AT}=20\)

\(so\ \overline{ED}=20\)

\(DE=3x-7=20\rightarrow\ x=9\)

I hope this helps you:)

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer:

Step-by-step explanation:

Ok

I think it should be 24.285.

To make out the circumference I used the 4 to the side then did C=pi•4 which is 12.57 and divided it by 2. the perimeter of the rectangle was just 4+5•2 which is 18. together its 24.285, hope this helps!

The function y = 2sin(x + π/2) has an amplitude of 2 and a phase shift of π/2.

What is the trigonometric functions?

The trigonometric functions are a set of six functions that relate the angles of a right triangle to the ratios of its side lengths. The trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).

The function y = 2sin(x + π/2) has an amplitude of 2 and a phase shift of π/2.

The amplitude of a trigonometric function represents the maximum displacement from the midline, or the maximum absolute value of the function. In this case, the maximum displacement from the midline is 2, so the amplitude is 2.

The phase shift of a trigonometric function represents a horizontal shift of the function along the x-axis. The unit of measurement for a phase shift is radians. In this case, the function y = 2sin(x + π/2) is shifted π/2 radians to the right of the function y = sin(x), so the phase shift is π/2.

Hence, the function y = 2sin(x + π/2) has an amplitude of 2 and a phase shift of π/2.

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There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer:

$305.5

Step-by-step explanation:

The relative frequency for Pooja, Melissa, Ernesto, and Dalia is 0.33,  for Salma and Olga is 0.66, and for Pedro and Divya is 0.

The relative frequency describes through a percentage (0% to 100%) or an equivalent, the frequency of an event. Here are some examples:

To find relative frequency simply use this formula

Let's use this formula to calculate the frequency of classes failed by each child.

1/ 3 = 0.33

1/3 = 0.3

2/3 = 0.66

0/ 3 = 0

1/3 =0.33

1/3 = 0.33

2/3 = 0.66

0 /3 = 0

Finally, create the bar graph using the information.

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When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.

In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.

To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.

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Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

(a) F1(a, b, c) = m0 ⋅ m1 can be minimized to F1(a, b, c) = a' in SOP standard form, reducing it to a single literal. (b) F2(a, b, c) = M5 + M1 can be minimized to F2(a, b, c) = b' + c' in SOP standard form, eliminating redundant variables. (c) F3(a, b, c) = M5 ⋅ m1 can be minimized to F3(a, b, c) = b' + c' in SOP standard form, by removing the common variable 'a'.

(a) To minimize the function F1(a, b, c) = m0 ⋅ m1, we need to find the minimum number of literals in the sum-of-products (SOP) standard form.

First, let's write the minterms explicitly:

m0 = a'bc'

m1 = a'bc

To minimize the function, we can observe that the variables b and c are the same in both minterms. So, we can eliminate them and write the simplified expression as:

F1(a, b, c) = a'

Therefore, the minimum SOP form of F1(a, b, c) is F1(a, b, c) = a'.

(b) To minimize the function F2(a, b, c) = M5 + M1, we need to find the minimum number of literals in the SOP standard form.

First, let's write the maxterms explicitly:

M5 = a' + b' + c'

M1 = a' + b + c

To minimize the function, we can observe that the variables a and c are the same in both maxterms. So, we can eliminate them and write the simplified expression as:

F2(a, b, c) = b' + c'

Therefore, the minimum SOP form of F2(a, b, c) is F2(a, b, c) = b' + c'.

(c) To minimize the function F3(a, b, c) = M5 ⋅ m1, we need to find the minimum number of literals in the SOP standard form.

First, let's write the maxterm and minterm explicitly:

M5 = a' + b' + c'

m1 = a'bc

To minimize the function, we can observe that the variable a is the same in both terms. So, we can eliminate it and write the simplified expression as:

F3(a, b, c) = b' + c'

Therefore, the minimum SOP form of F3(a, b, c) is F3(a, b, c) = b' + c'.

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Surface area of any figure is the area that the outer surface of any figure covers.

If we look at the different figures we find that these figures if placed somewhere or if we need to cover the figures with some kind of material then in order to find the the dimensions of the material we will need to find out the area that the overall surface of the figure will cover. This will reduce the time and complication of the calculations of every part of the shape. For example, If there is a need to find the surface area of the cylinder then we use the formula for its curved surface area as

S = 2πrh where r is the radius and h is the height of cylinder

Also, the total surface area will be expressed as

T = 2πr(r + h) where r is the radius and h is the height.

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1 inch : 10 yards is a ratio to represent the scale used in the drawing.

The scale used in the drawing is 1 inch to 10 yards. This means that for every 1 inch in the drawing, it represents 10 yards in the actual football field. This can be written as a ratio of 1:10.

The scale used by Lewis for his drawings is 1 inch to 10 yards. This means that for every 1 inch of the drawing, it represents 10 yards in the actual football field. This ratio can be written as 1:10, which means that for every 1 inch in the drawing, it represents 10 yards in the actual field. This ratio is used to accurately represent the football field and helps Lewis design marching formations that accurately reflect the dimensions of the field. By using this ratio, Lewis is able to accurately design marching formations without having to measure out the field every time.

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Answer:

1. b

2. -16

Step-by-step explanation:

1. -1+2 is equal to 1 so it works

You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.

2. -(-4)(-5) is -20

-(-4) is = 4

-20+4 is -16

Answer:

y=2x+40

linear function with the y-intercept at 40

Step-by-step explanation:

Answer:

linear function

y = 2x + 40

Step-by-step explanation:

This is a linear function since for an equal change of the input (number of visits) you get an equal change in the output (the cost).

The fixed cost is $40.

The variable cost is the $2 per visit.

For x visits, the cost of the visits is 2x.

Now you add the $40 fixed cost to the variable cost to get 2x + 40.

Let y = total cost and x = number of visits.

The equation of the linear function is:

y = 2x + 40

The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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Answer:

A(-2,2),. B(−1, −2), and C(-6, 1). Graph the triangle. Then graph the triangle after a translation 7 units right and. 3 units up.

Step-by-step explanation:

After translation 7units left and 17unit up ΔXYZ become ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

" Translation is defined as the moving a geometrical shape by certain distance."

According to the question,

In ΔXYZ,

Coordinates of X =(-7,-13)

Coordinates of Y = (-3 ,-9)

Coordinates of Z = ( -7, -5)

After translation 7units left and 17units up and rotation 270° counterclockwise around the origin

New coordinates as shown in the drawn graph of ΔX'Y'Z'

Coordinates of X' = (-14, 4)

Coordinates of Y' = (-10, 8)

Coordinates of Z' = (-14,12)

Hence, translation 7units left and 17unit up ΔXYZ gives ΔX'Y'Z' with new coordinates X'(-14,4) , Y'(-10,8) an Z'(-14,12).

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