suppose an irregular 4-sided solid object, having sides numbered 1 through 4, is rolled 100 times, and side 3 turns up 28 times. what is the approximate probability of this event happening?

The value of the constant of variation is 130

Constant of variation can be defined as the ratio between two variables in  an inverse variation on a direct variation.

From the information given, we have that;

The number of hours is x

The temperature is y

x α 1/ y

x = k/y

k = xy

Substitute the values

k = 2 × 65

k= 130

Thus, the value of the constant of variation is 130

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The complete question:

the number of hours it takes for a block of ice to melt varies inversely as the temperature. If it takes 2 hours for a square inch of ice to melt at 65 degrees find the constant of variation

Answer:

134

Step-by-step explanation:

2³×16¾×2º​

go to 2³ x 67/4 x 1 any non zero expression raised to the power of 0 equals 1

multiplied 1 to both sides 2³ x 67/4 then go to 2³ x 67/ 2^2

then your left with 2 x 67 = 134

Answer:

\(4y {}^{2} - 2z {}^{4} + 11\)

Step-by-step explanation:

\(1. \: (4x - 4x) + (3y {}^{2} + y {}^{2} ) + ( - 7z {}^{4} + 5z {}^{4} ) + 11 \\ 2. \: 4y {}^{2} - 2z {}^{4} + 11\)

Answer:

e) ab/(a - b)

Step-by-step explanation:

1/x + 1/a = 1/b

now we need to transform this so that we get x = ...

first, let's multiply both sides by x

1 + x/a = x/b

now we subtract x/a from both sides

1 = x/b - x/a

we multiply both sides by a

a = ax/b - x

we multiply both sides by b

ab = ax - bx = x(a - b)

now we divide both sides by (a - b)

ab/(a - b) = x

Answer:

A and E

Step-by-step explanation:

When you re-arrange the expression, you still have the same answer.

2y = 3x + 14

(+2y) = (+3x) + (+14)

- rearranged -

(+3x) + (+2y) = (+14)

Please reconfirm with other students and correct me if I'm incorrect.

Edit: I am incorrect, but I don't know what I did wrong-

Answer:

8x+1 is the answer.

Step-by-step explanation:

The equation is 3x+2x-1+3x+2.

Let's combine like terms.

3x+2x+3x=8x.

-1+2=1.

8x+1 is the answer.

Answer:

3.) 8x + 1

Step-by-step explanation:

The perimeter is the distance around a figure. It can be found by adding the lengths of all the sides in the figure. It is given that the side lengths of the given triangle are;

3x

2x - 1

3x + 2

Now all one has to do is add up these lengths, combine like terms;

(3x) + (2x - 1) + (3x + 2)

= 8x + 1

Answer:

Step-by-step explanation:

You can write and equation for this problem.

as 20.27-2.01x= The left money for food.

x: is two.

SO applying the number to the equation:

20.27-4.02= Food money

$16.25 is the answer

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

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Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

The height of a triangle is 4.8cm. The length of a perpendicular line segment starting on a side and intersecting the opposing angle defines a triangle's height. Every triangle has three sides, which results in three heights, or altitudes.

The line segment perpendicular to the base of the triangle from its point of highest point is its height. We may apply the Pythagorean Theorem to the triangle the height forms because it forms a right angle with the base. The base of the original triangle will be divided in half by the height since it is isosceles (has two equal sides). Now that you are aware of the triangle's area, you may use the triangle formula A=1/2bh to get the triangle's height. Since this is the smallest side of the triangle, the base would be equal to half of five (2.5). A triangle is said to be equilateral if its three heights are all equal.

If area and base are given: height = 2A/ b = (2 × Area) / base.

Area=8*6/2=48/2=24cm

Height=2*24/10=4.8cm

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9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

The axis of symmetry is the vertical line halfway between the zeros.

  x = (4 -2)/2

  x = 1 . . . equation of axis of symmetry

The area of a circle is given by the formula:

area = pi * r^2

where pi is a constant approximately equal to 3.14 and r is the radius of the circle.

To find the area of the circle, we first need to find the radius. The radius is half the diameter, so the radius of the circle is 20/2 = 10 feet.

Plugging this value into the formula, we get:

area = 3.14 * 10^2 = 3.14 * 100 = 314 square feet

So the area of the circle is 314 square feet.

Answer:

100π, or about 312. Could also be 314.16 if it needs to be rounded.

Step-by-step explanation:

First, the area of a circle is πr^2

To find radius, it's diameter/2.

So the radius is 20/2 which is 10.

With this, we plug it in: π(10)^2 = π100 = 100π.

That is an exact answer. For a rounded answer, assume π = 3.14.

3.14*100 = 314 sqr feet.

However, it you want to round the final answer, 100π is around 314.159265359 thus making rounding to the nearest hundredth 314.16.

The volume of the square-based pyramid is 3888 units³. Your answer is option B. 3888 units³.

The formula to calculate the volume of a pyramid is V = (1/3)Bh,

Where B is the area of the base and h is the height.

In this case, the base is a square with edge length 9 units, so the area is B = 9² = 81 units².

The height is given as 48 units.
Plugging these values into the formula, we get:
To find the volume of a square-based pyramid, you can use the following formula:

V = (1/3) * base area * height.

In this case, the base edge is 9 units and the height is 48 units.

First, find the base area:

A = side * side = 9 * 9

= 81 square units.

Next, calculate the volume:

V = (1/3) * 81 * 48 = 3888 cubic units.
V = (1/3)(81)(48)
V = 1296 units³
Therefore, the volume of the pyramid is 1296 units³, which is option b.

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In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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Answer:

Slope(m)=2x

y-intercept(b)=3

Step-by-step explanation:

Answer:

Slope is -2x, Y-Intercept is 3

Step-by-step explanation:

You need to isolate the "y" to get the answer, all you need to do is subtract the "2x" from both sides

In a normal distribution, approximately 68% of the population is within one standard deviation of the mean. This can be explained by the empirical rule, which states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

The standard deviation is a measure of how spread out the data is from the mean, so if the data is normally distributed, we can use the empirical rule to estimate the proportion of the population that falls within a certain number of standard deviations from the mean.

Therefore, we can say with confidence that approximately 68% of the population falls within one standard deviation of the mean in a normal distribution.

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The class width for the given data and 8 classes is 16. The correct lower class limits are A. 18, 32, 46, 60, 74, 88, 102, 116, and the correct upper class limits are D. 32, 46, 60, 74, 88, 101, 116, 129.

To find the class width, we subtract the minimum value from the maximum value and divide it by the number of classes. In this case, the minimum value is 18 and the maximum value is 127, so the range is 127 - 18 = 109. Dividing this by the number of classes, 8, gives us a class width of 109 / 8 = 13.63. Since the class width should be a whole number, we round it up to the nearest whole number, which is 14. Therefore, the class width is 14.

To determine the lower class limits, we start with the minimum value and add the class width successively. The correct lower class limits are A. 18, 32, 46, 60, 74, 88, 102, 116.

For the upper class limits, we start with the first lower class limit and subtract 1 from the next lower class limit to get the upper class limits. The correct upper class limits are D. 32, 46, 60, 74, 88, 101, 116, 129.

These class limits and widths are used in constructing a frequency distribution or histogram for the given data.

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Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

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Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

To learn about the gaming habits of all the children attending Eastchester High School, Professor DeVries randomly selected and interviewed 50 of the school's students. In this instance, all the children attending the school are considered to be a(n). This scenario or case is an example of population.

What is a population?

A population is the entire set of people in a group, whether that group is a country or a collection of people who share a certain trait.

To learn about the gaming habits of all the children attending Eastchester High School, Professor DeVries randomly selected and interviewed 50 of the school's students. In this instance, all the children attending the school are considered to be a(n).

This an example of population.

Since the students are chosen randomly but on the basis of a similar trait or characteristic, i.e. gaming habits, thus this situation is an example of a population.

Therefore, the given instance is an example of population.

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Answer:123 degrees

Step-by-step explanation:

360-54-97-86=123

The maximum total value that can be put in the knapsack is 220.

def knapSack(W, weight, val, n):

   K = [[0 for w in range(W + 1)] for i in range(n + 1)]

   # Build table K[][] in bottom up manner

   for i in range(n + 1):

       for w in range(W + 1):

           if i == 0 or w == 0:

               K[i][w] = 0

           elif weight[i-1] <= w:

               K[i][w] = max(val[i-1] + K[i-1][w-weight[i-1]],  K[i-1][w])

           else:

               K[i][w] = K[i-1][w]

   return K[n][W]

# The weight and value arrays

val = [60, 100, 120, 40]

weight = [2, 4, 6, 3]

n = len(val)

W = 10

print(knapSack(W, weight, val, n))  # It will print 220

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With W = 10, Val = [60, 100, 120, 40], and Weight = [2, 4, 6, 3], the maximum value subset with the given constraints is 220.

To solve this problem, we can use the 0-1 Knapsack algorithm. The algorithm works as follows:

Create a 2D array, dp[n+1][W+1], where dp[i][j] represents the maximum value that can be obtained with items 1 to i and a knapsack capacity of j.

Initialize the first row and column of dp with 0 since with no items or no capacity, the maximum value is 0.

Iterate through the items from 1 to n. For each item, iterate through the capacity values from 1 to W.

If the weight of the current item (weight[i]) is less than or equal to the current capacity (j), we have two options:

a. Include the current item: dp[i][j] = val[i] + dp[i-1][j-weight[i]]

b. Exclude the current item: dp[i][j] = dp[i-1][j]

Take the maximum of the two options and assign it to dp[i][j].

The maximum value that can be obtained is dp[n][W].

In this case, with W = 10, Val = [60, 100, 120, 40], and Weight = [2, 4, 6, 3], the maximum value subset with the given constraints is 220.

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Answer:

-2-\(\frac{2}{a}\)

Step-by-step explanation:

I broke up the fractions so that it is easier.

\(\frac{1}{a-1}\) - \(\frac{1}{a+1}\) - \(\frac{2}{2a+1}\) - \(\frac{2}{2a-1}\) = (\(\frac{1}{a}\) - \(\frac{1}{1}\)) - (\(\frac{1}{a}\) + \(\frac{1}{1}\)) - (\(\frac{2}{2a}\) + \(\frac{2}{1}\)) - (\(\frac{2}{2a}\) - \(\frac{2}{1}\))

Now I remove the brackets. One plus and one minus make one minus and two minus makes one plus.

(\(\frac{1}{a}\) - \(\frac{1}{1}\)) - (\(\frac{1}{a}\) + \(\frac{1}{1}\)) - (\(\frac{2}{2a}\) + \(\frac{2}{1}\)) - (\(\frac{2}{2a}\) - \(\frac{2}{1}\)) =\(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{2}{2a}\) - \(\frac{2}{1}\) - \(\frac{2}{2a}\) + \(\frac{2}{1}\)

Remove redundancies. (\(\frac{1}{a}\) - \(\frac{1}{a}\) = 0)

\(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{1}{a}\) - \(\frac{1}{1}\) - \(\frac{2}{2a}\) - \(\frac{2}{1}\) - \(\frac{2}{2a}\) + \(\frac{2}{1}\) = -\(\frac{2}{1}\) -\(\frac{4}{2a}\)

Simplify the fractions.

-\(\frac{2}{1}\) -\(\frac{4}{2a}\)  = -2-\(\frac{2}{a}\)

Answer:

a) 390

b)108

I hope this answer was helpfull for you

Option A is the answer

Step-by-step explanation:

From the question, you were told that a dressmaker has a piece of ribbon that has a total length of Seven-sixteenths.

She cut One-fourth of an inch long from the total pieces of the ribbon.

Given:

• The total pieces of ribbon= seven sixteens inch

• Piece of ribbon cut = One-fourth inch

To find:- Length of raining piece of ribbon = x

Note that the total length of piece of ribbon = remaining length + length of piece cut.

one - fourth = 1/4

seven - sixteenths = 7 × 1/16

→ 7/16

The next thing to find the length of remaining piece of ribbon.

\( \frac{7}{16} = x + \frac{1}{4} \)

Isolate x by subtracting 1/4 from both sides:

\( = > \frac{7}{16} - \frac{1}{4} = x + \frac{1}{4} - \frac{1}{4} \)

→ 7/16 - 1/4 = x

→ LCM = 16

→ [(7-(4×1)] / 16 = x

After evaluating, we get:-

x= 3/16 inch

So, the length of remaining piece of ribbon is Three-sixteenths of an inch

Juliet was charged $18 for driving 120 miles.

Given,

The rent of car per day = $80

The charge for per miles driven = $0.15

Juliet was charged a total of $98 for the rental and mileage.

We have to find the total miles of driving;

Here,

Charge for miles driven = Total charge - Rent of car for a day

Charge for miles driven = 98 - 80

Charge for miles driven = $18

Now,

Total miles driven = Charge for miles driven / Charge for one mile

Total miles driven = 18/0.15

Total miles driven = 120

That is,

Juliet was charged $18 for 120 miles of driving.

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Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

Answer:

C.1$

Step-by-step explanation:

I did it on a peace of paper but I don't know a way to explain it or show it ,I now that's why

but the answer is 1$