What is the constant of proportionality for the data shown in the table?

A percentage of his commute that would be shorter than 32 minutes, to the nearest 10th is equal to 50%.

Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:

Z-score, z = (x - μ)/σ

Where:

Substituting the parameters into the z-score formula, we have;

Z-score, z = (32 - 32)/3

Z-score, z = 0/3

Z-score, z = 0

Since a commute of 32 minutes on a test corresponds to a z-score of 0, the percentage of the commute will be shorter than 32 minutes is given by:

P(x > 32) = P(z > 0)

P(z > 0) = 0.5

P(z > 0) = 50%.

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Answer:

mean of 8,3,5 = 5.333 or 16/3

mean of 44,89,23 = 52

Step-by-step explanation:

Answers and step-by-step explanations:

To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:

8, 3, 5

Add them all up:

8 + 3 + 5 = 16

Then, since there were three numbers, we divide 16 by 3.

16/3 = 5.33

Therefore, the mean of 8, 3 and 5 is around 5.33.

The second data set is:

44, 89, 23

Add them up:

44 + 89 + 23 = 156

Then, divide it by how many numbers there were, which is 3.

156/3 = 52

Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!

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Answer:

$9,167

Step-by-step explanation:

Answer:

y = 1/2x + 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

A polynomial is a  perfect square if has the form:

[tex]a^2+2ab+b^2[/tex]

Its factored form is  [tex](a+b)^2[/tex].

We can obtain examples by taking any value of a and b.

For example:

[tex]a=x[/tex]  anb  [tex]b=2y[/tex].  

Thus we obtain a polynomial that is a perfect square:

[tex]x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2[/tex]

Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.

A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6  by resolving this equation.

Here,

we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).

It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.

The four equations provided are

4 lorgs to a sind

5 dalts x 2 plunks

2 harps from 5 sinds.

3 harps equal 1 plunk.

In that order, I'll refer to them as equations (1) through (4).

One sind equals four logs (1)

5 sinds = 20 lorgs; add 5 to both sides.

2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)

1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)

Equation: 1 plunk = 30 lorgs (6)

Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.

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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"

There are 34 ways by which  pairs of potential clients can be randomly chosen from pool or eight candidates.

We can be able to talk about the combination when the order of the selection is not seen as important as in the case that we have in the question here. We have been told that the pairs are to be chosen randomly.

As such we would have the use of the formula for combination as follows;

C = n!/r!( n - r)!

C = 8!/2!(8 - 2)!

C = 8 * 7 * 6!/2! 61

C = 8 * 7/ 2 * 1

C = 28

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To be honest  i dont know  but u can try to find something like that to help u ?

The number that goes beneath the radical is 7

The Pythagoras theorem is used to find side or angle of a right angled triangle.

If you are dealing with any right triangle with  given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.

Note that the Pythagorean Theorem: is  a²+b²=c²

a  and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).

This impies in this case, that  we have 4 equivalent right triangles with given sides  and  for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.

The Pythagoras Equation is a²+b²=c²

Where  a=3, b =? c=4

Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.

a²+b²=c²

⇒b²=c²-a²

a=√(c²-a²)

Plug in our given values and solve for .

a=√(4²-3²)

a=√(16-9)

a=√7

Conclusively, the radical number that goes beneath 7

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Complete question :

The complete question is found on the attachment

Answer:

I think 34880.

Step-by-step explanation:

34880 I AM NOT SURE

Answer:

B) 1

Step-by-step explanation:

any number (except zero) raised to the zero power is equal to 1

Answer:

Lower quartile= 4

Middle quartile= 6

Upper quartile=8

Answer:

um-

Step-by-step explanation:

Answer:

[tex] = 3.538 \times {10}^{ - 3} [/tex]

Answer:

38.5

Step-by-step explanation:

The formula for the area of the circle is [tex]\pi rx^{2} \\[/tex].

Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.

The diameter is also 2 times the size of the radius so you divide 7 by 2.

So [tex](3.14)(3.5)^{2} = 38.5[/tex]

Step-by-step explanation:

[tex]5x - 4 {x}^{2} + 3[/tex]

[tex]5(1) - 4 {(1)}^{2} + 3 \\ 5 - 4 + 3 = 4[/tex]

Step-by-step explanation:

Given polynomial

5x - 4x² + 3

put x = 1

→ 5(1) - 4(1)² + 3

→ 5 - 4(1) + 3

→ 5 - 4 + 3

→ 8 - 4

→ 4.

Answer:

C. 0.99 per day

Step-by-step explanation:

I calculated it logically

Answer: B (−5 < x < 3)

Steps

−19 < 3x − 4 < 5

−19 < 3x − 4 and 3x − 4 < 5

x > −5 and x < 3

−5 < x < 3

Number Line

−19 < 3x − 4 < 5 : Solution: − 5 < x < 3

[ Interval Notation: (−5, 3)]

If a < u < b then a < u and u < b

−19 < 3x − 4 : x > −5

3x − 4 < 5 : x < 3

Combine the intervals

Merge Overlapping Intervals

And that equals=

−5 < x < 3

Answer: The conditions for inference are met in this scenario.

In order to use inference to determine if the true proportion of American adults who work more than one job differs from 12%, the following conditions must be met:

The sample must be randomly selected from the population.

The sample size must be large enough (usually at least 30).

The sample must be representative of the population.

In this case, it is stated that a random sample of 100 American adults was selected, which meets the first condition.

The sample size of 100 is also large enough, which meets the second condition.

There is no information given about whether the sample is representative of the population, but this is not necessary for the conditions for inference to be met.

Therefore, the conditions for inference are met in this scenario.

Step-by-step explanation:

9514 1404 393

Answer:

  0.9 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(71°) = (2.5 ft)/SQ . . . . . . . . fill in the given values

  SQ = (2.5 ft)/tan(71°) ≈ 0.8608 ft

The length of SQ is about 0.9 feet.

Answer:

∠BEC = 119°

Step-by-step explanation:

∠BAC = 47° because it is an alternate interior angle to 47°

∠BEA = 180 - 47 - 72 = 61°

∠DEC = ∠BEA because they are vertical angles

∠BEC = ∠DEA because they are vertical angles

∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°

∠BEC + ∠DEA + 61 + 61 = 360°

∠BEC + ∠DEA = 238°

since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°

Answer:

78.75min

Step-by-step explanation:

t=S/v

105km/80km/hr

=1.3125hr

1.3125hr =78.75min

Answer:

112 in^2

Step-by-step explanation:

Given data

Length =2in

Width= 4in

Height=8 in

The expression for the total surface area is

SA=2lw+2lh+2hw

SA= 2*2*4+2*2*8+ 2* 4*8

SA= 16+ 32+ 64

SA= 112 in^2

Hence the surface area is 112 in^2

The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].

The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.

According to the question, let us assume,

width w = 2 in

length l = 4 in

height h = 8 in

The lateral surface area is  

S = 2lw + 2lh + 2hw  since the opposite faces have same dimensions

S = 2×4×2 + 2×4×8 +2×2×8

S = 112 [tex]in^{2}[/tex]

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Answer:

$130

Step-by-step explanation:

x (the $ Anwita has) + y (the $ her sister has) = 230

y = 4x - 20

=> x+y=230 => x + 4x - 20 = 230

=> 5x - 20 = 230 => 5x = 250

=> x = 50

=> y = 180

the difference between 180 and 50 (180 - 50) is 130.

so, Anwita needs $130 more to have the same amount as her sister.

The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28

We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.

Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.

The rightmost position therefore must be 0 in order to fill the need for an even number.

Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.

This means that we can place two digits of zero among 8 positions by using combination formula as;

⁸C₂ = 8!/(2! * 6*)

= 28 different ways

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Answer: 174

Step-by-step explanation:

Split into two rectangles, first one has area of 54, other has area of 120. Add

Answer:

9-14-21 this one do not support the statement

Step-by-step explanation:

Answer:

To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.

In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.

So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.

Step-by-step explanation: