What is the constant of proportionality shown in the graph

The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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In this situation, we have revenue from a sporting event. We have the ticket price is $125.

In this case, we have that the function is:

We can see, that the domain are the possible assistants to this sporting event, and x could be any possible value equal to or greater than 0 or (assistants are 0 (nobody) or more):

The revenue is the possible values for the function, and they could be also those for values equal to or greater than 0 (the earnings are zero (nothing) or more), or:

In theory, the assistants and the earnings could be infinite.

Using an hypothesis test, it is found that:

The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.

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The test statistic is given by:

\(z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which

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The value of the test statistic is:

\(z = \frac{X - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.6296 - 0.5}{\sqrt{\frac{0.5\times0.5}{27}}}\)

\(z = 1.35\)

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The p-value of the test is 0.177 > 0.05, which means that there is not significant evidence that the proportion of male goslings is not 50%.

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Answer:

Width is 3 units, The Length is 9 units.

Step-by-step explanation:

Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.

Answer:it might be A

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

Step-by-step explanation:

Answer:

The answer is 384.

Step-by-step explanation:

To find the surface area use this formula,

A = 6a² = 6 · 8² = 384

Answer:

150

Step-by-step explanation:

Collected bills: 18 * 10= 180

1/6 of 180 = 30

180-30=150

Answer:

15 ten dollar bills, 150 dollars

Step-by-step explanation:

1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself

Answer:

Surface area : 143.1

Step-by-step explanation:

Ok so first,

Bottom : 35.1 ft

Front : 36

Right side : 36

Left side : 36

A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year

Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.

Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.

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Step-by-step explanation:

1) 180/3=60

2) 90/3=30

3) 180-24-36=120

4) 360-90=270/2=135

Answer:

1. 60 degrees

2. 30 degrees

3 .120 degrees

4. 135 degrees

Step-by-step explanation:

Supplementary angles add up to 180

No 1 .180÷3=60 degrees

Angle A=60degrees

No 3 .24+36=60

180-60=120

Angle A=120 degrees

No 2 . Compulsory angles add up to 90

90÷3=30 degrees

Angle A = 30 degrees

No 4 the angles on the diagram add up to 360 degrees

One is 90 degrees

The 2nd and 3rd are equal

360-90=270

270÷2=135 degrees

Answer:

LZ = 3

Step-by-step explanation:

given NZ is the angle bisector of ∠ LNM , then it divides the opposite side into segments that are proportional to the other 2 sides, that is

\(\frac{LZ}{MZ}\) = \(\frac{NL}{NM}\) ( substitute values )

\(\frac{LZ}{5-LZ}\) = \(\frac{3}{2}\) ( cross- multiply )

2 LZ = 3(5 - LZ) ← distribute parenthesis

2 LZ = 15 - 3 LZ ( add 3 LZ to both sides )

5 LZ = 15 ( divide both sides by 5 )

LZ = 3

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

28

Step-by-step explanation:

28/1 = 28

Answer:

24?

Step-by-step explanation:

The nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

To determine the number of Lasix 20 mg tablets that should be administered to the patient, we need to calculate how many tablets are equivalent to the prescribed dose of 80 mg.

Given that each Lasix tablet contains 20 mg of the medication, we can divide the prescribed dose (80 mg) by the dosage strength of each tablet (20 mg) to find the number of tablets needed.

Number of tablets = Prescribed dose / Dosage strength per tablet

Number of tablets = 80 mg / 20 mg

Number of tablets = 4 tablets

Therefore, the nurse should administer 4 Lasix 20 mg tablets to the patient to achieve the prescribed dose of 80 mg.

It is important to note that this calculation assumes that the Lasix tablets can be divided or split if necessary. However, it is crucial to follow the specific instructions provided by the prescribing physician or consult with a pharmacist if there are any concerns about the appropriate administration of the medication.

Additionally, it is important to consider any additional instructions, such as the frequency and timing of administration, as specified by the physician's order.

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For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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9514 1404 393

Answer:

  C)  rotation, then translation

Step-by-step explanation:

Figure 2 is rotated 90° CCW about the origin from figure 1.

Figure 3 is translated 6 units to the right from figure 2.

The transformation is ...

  rotation, then translation

Answer:

40people

Step-by-step explanation:

Let the number of those that owned a dog be x

Let the number of those that owned a cat be y

If the number of people who own a dog is four times the number of people who own a cat, then:

x = 4y

Since x+y =100

4y+y = 100

5y = 200

y = 200/5

y = 40

x = 4(40)

x = 160

Hence 40 people surveyed own a cat

The probability that 35 or more people from the sample of 215 customers are concerned about the digital environment is 0.7043.

To calculate the probability that 35 or more people from the sample of 215 customers are concerned about the digital environment, we can use the binomial distribution formula.

The binomial distribution is applicable here because we have a fixed sample size (215 customers) and each customer can be categorized as either concerned or not concerned.

Let's denote p as the probability that a randomly selected customer is concerned about the digital environment.

From the given information, we know that 29% of technology experts believe our lives will be more harmed than helped, so p = 0.29.

The formula for the probability mass function of the binomial distribution is:

\(P(X = k) = C(n, k) \times p^k \times (1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of k successes (in this case, customers concerned about the digital environment)

C(n, k) is the number of combinations of n items taken k at a time

\(p^k\) is the probability of k successes

\((1 - p)^{(n - k)\) is the probability of (n - k) failures

Now, let's calculate the probability of having 35 or more customers concerned:

P(X ≥ 35) = P(X = 35) + P(X = 36) + ... + P(X = 215)

Using this formula, we can calculate the probability using a cumulative approach:

P(X ≥ 35) = 1 - P(X ≤ 34)

Calculating this probability requires summing up a large number of individual probabilities, which can be time-consuming.

Therefore, it is more practical to use statistical software or calculators to obtain an accurate answer.

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Answer: 4 and 1/2 ft  (or 4.5 ft) taller.

Step-by-step explanation:

The function h(m) = (1/2)*m + (6 + 1/2) represents the height (on feet) of the giraffe as a function of the number of months, m.

We want to find the difference in the height between month 11 and month 2, then we need to find:

difference = h(11) - h(2)

We can directly calculate this:

difference = [ (1/2)*11 + (6 + 1/2)] - [(1/2)*2 + (6 + 1/2)]

difference = (1/2)*11 - (1/2)*2 = (1/2)*(11 - 2) = (1/2)*(9) = 9/2

And we can write 9 = 9 + 1, then:

difference = 9/2 = (8 + 1)/2 = 8/2 + 1/2 = 4 + 1/2

And this is in feet, then the girrafe is (4 and 1/2) ft taller on month 11 than on month 2.

Answer:

x = -8, y = 11/3

Step-by-step explanation:

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

Answer:

  74 3/8 cubic feet

Step-by-step explanation:

The volume of the tub is the product of the dimensions:

  V = LWH

  = (5 ft)(3.5 ft)(4.25 ft)

  = 74.375 ft³

The tub can hold 74 3/8 cubic feet of water.

Answer:

The x-intercepts are 1 and 3

The y-intercept is 3

The vertex is (2,-1)

The line of symmetry is x=2

Step-by-step explanation:

To find the x-intercepts, find where the graph intersects the x-axis, or the horizontal line. To find the y-intercept, find where the graph intersects the y-axis, or the vertical line. To find the vertex, find the coordinate where the graph is at its lowest point (or highest if it is flipped upside down). To find the line of symmetry, simple use the x-coordinate of the vertex and say x= (the x-coordinate)

Answer:

Option A is the right answer mate...