40 people were selected, out of those 40 that were selected 4 out of 5 were chosen. Out of the people who were chosen 3 out of 8 were chosen again. What is the ratio of people who were chosen twice?

Answe\(3\sqrt{2)\)

Step-by-step explanation:

Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

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She will hike 6.23 miles.

To find out how many miles Mika will hike in 2 hours if she hikes at the same rate, we can set up a proportion using the information given. It will compare the distance Mika hiked in 77 minutes to the time it took her to hike that distance, with the distance she will hike in 2 hours to the time it will take her to hike that distance.

We can set up the proportion as follows:

Suppose she hikes for x miles in 2 hrs (120 minutes)

Then,  4 miles / 77 minutes = x miles / 120 minutes

To solve for x, we can cross-multiply and then divide:

4 * 120 = 77 * x

480 = 77 * x

Dividing both sides by 77, we get:

480 / 77 = x

x ≈ 6.23

Therefore, Mika will hike approximately 6.23 miles in 2 hours if she hikes at the same rate.

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Answer:

11 , 968

Step-by-step explanation:

just did it on edge 2022

Answer:

Your answer is A, 3x - 2x.

Step-by-step explanation:

Triple a number means to multiply it by 3.

Double a number means to multiply it by 2.

Difference means to subtract.

Hope this helps!

Answer:cim not sure tho

Step-by-step explanation:

In the example given, where students sit in a classroom that affects their grades can best be described as a: variable.

A variable, in mathematics, can be defined as quantity that can be measured which represents a set of data item such as, capital expenditure, class grades, age of students etc., location, which can change.

Therefore, in the example given, where students sit in a classroom that affects their grades can best be described as a: variable.

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To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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At the 2.5% level, the maximum value at risk that Michael could experience is approximately $28,187.

The value at risk (VaR) at the 2.5% level can be calculated as follows:

\(VaR = - (364,888 * 0.025 * 0.0428 - \sqrt{(364,888 * 0.025 * 0.0963)}) = - $28,187\)

Where:

Therefore, at the 2.5% level, the maximum potential loss that Michael could experience is approximately $28,187.

In simpler terms, the VaR is a statistical measure that estimates the maximum potential loss of an investment with a certain level of confidence over a given time period. In this case, we use the historical returns of American Airlines to estimate the risk of Michael's investment. The VaR tells us that there is a 2.5% chance that Michael could lose at least $28,187 from his investment in American Airlines, assuming that the future returns follow a normal distribution with the same mean and variance as the historical returns.

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Overall, a bar graph would effectively convey the color information of fish found in Lake Powell by visually representing the different color categories and their corresponding frequencies or proportions.

The best option would depend on the specific data and purpose of the visualization. However, if the goal is to represent the color categories of fish in Lake Powell, a bar graph could be a suitable choice. Each bar would represent a color category, and the height of the bar could represent the frequency or proportion of fish in that color category.

By assigning each color category to a bar and varying the height of each bar based on the frequency or proportion of fish in that category, the bar graph provides a clear and visual representation of the distribution of fish colors in Lake Powell.

This allows viewers to easily compare the prevalence of different color categories, identify any dominant or rare colors, and gain insights into the overall color composition of the fish population in the lake.

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The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

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The probability of at least 30 left-handed individuals in a sample of 100

What is boinomial probability ?

Binomial probability refers to the probability of a particular number of "successes" occurring in a fixed number of independent trials. In other words, it calculates the probability of a specific outcome happening a certain number of times in a given set of trials.

The binomial probability formula is:

P(X=k) = (n choose k) *\(p^{k}\) * \((1-p)^{(n-k)}\)

where:

P(X=k) is the probability of getting k successes in n trials

n is the number of trials

k is the number of successes

p is the probability of success on a single trial

(n choose k) is the binomial coefficient, which represent

He probability of selecting at least 30 left-handed individuals out of a sample of 100 adults in the US can be calculated using the binomial probability formula with x counting the number who are left-handed.

However, we must be careful when applying the formula to this problem because the sample is selected without replacement. The binomial distribution assumes that each trial is independent of the others, which is not the case when sampling without replacement.

In cases where the sample size is much smaller than the population size, the effect of not replacing the selected individuals is negligible. However, when the sample size is a substantial portion of the population size, as in this case, the probability of selecting an individual who is left-handed changes after each selection. This means that the probabilities of each selection are not independent, and the binomial formula cannot be used.

Therefore, to accurately calculate the probability of at least 30 left-handed individuals in a sample of 100 adults selected in the US without replacement, we need to use a different probability distribution, such as the hypergeometric distribution.

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The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

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After selling 200 copters, Hover-high Helicopters would have a profit of $9.40 per unit. Therefore, the correct answer is d) $9.40 per unit.

To calculate the profit per unit, we need to consider the profit from each unit sold and subtract the cost of any defective units returned for repair.

Hover-high Helicopters has a defect rate of 1 in 100, which means that 1% of the units built are expected to be defective. With 200 copters sold, we can expect 2 units to be returned for repair (200 * 1% = 2).

For each unit sold, Hover-high Helicopters earns a profit margin of $10. However, they incur a cost of $50 for each defective unit returned for repair.

Profit per unit = Profit margin - Cost of defective units

= $10 - ($50 * Number of defective units)

Since 2 units are expected to be defective, the cost of defective units is $50 * 2 = $100.

Profit per unit = $10 - $100 = -$90.

However, the question asks for the profit per unit, so we need to consider the overall profit after selling 200 copters.

Profit per unit after selling 200 copters = Overall profit / Number of units sold

= (-$90 * 2 + $10 * 200) / 200

= ($-180 + $200) / 200

= $20 / 200

= $0.10

Therefore, the profit per unit after selling 200 copters is $0.10, which is equivalent to $9.40 per unit. The correct answer is d) $9.40 per unit.

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Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

The output of the function is -4, when the input of the function is -3

Non-linear functions are functions that do not have a constant rate or slope

From the graph of the function, we have the following highlight:

At x = -3, the value of the function is -4

Hence, the output of the function is -4, when the input of the function is -3

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191.115 sq.ft. is area of the floor of the room in square feet.

Here, we have,

given that,

The length of a room is 12 ft 4 in. The width is 15 ft 6 in.

now, we have to find the area.

now, we have,

The length of a room is 12 ft 4 in

we know that, 4in = 0.33 ft

so, The length of a room is 12.33 ft

The width is 15 ft 6 in.

we know that, 6in = 0.5 ft

so, The length of a room is 15.5 ft

so, we know that,

area of rectangle = length × width

we get,

area of the floor of the room in square feet = 191.115 sq.ft.

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Valve guides can be measured for roundness and diameter using a micrometer or a bore gauge. Both of these tools are commonly used in the automotive industry to measure the dimensions of engine parts such as valve guides.

A micrometer is a precision measuring tool that uses a calibrated screw to measure the diameter of an object with high accuracy. It can be used to measure the diameter of the valve guide at different points along its length to check for roundness. A bore gauge, also known as an inside micrometer, is a specialized tool used to measure the inside diameter of a cylinder, such as the bore of an engine block or the valve guide. It consists of a probe that is inserted into the cylinder and expands to take a measurement. A bore gauge is particularly useful for measuring the internal dimensions of complex shapes like valve guides, which can have irregular or non-circular profiles. Both micrometers and bore gauges come in various sizes and types, and the specific tool used will depend on the size and shape of the valve guide being measured.

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Answer:

elaborate further please

Answer:

Check out Tiger algebra

it gave me

Slope=-2.000/2.000=-1.000

x - intercept = 3/1 = 3.00000

y - intercept = 3/2 = 1.50000

and

Slope=1.000/2.000=0.500

x - intercept = 10/1 = 10.00000

y - intercept  = 10/2 = 5

It requires nothing.

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

Step-by-step explanation:

(6x1000)+ (4x100)+ (1x10)+ (2x1)+ (6x1/10)+ (2x1/10)

Answer:

\(w=\dfrac{x-3y+1}{3}\)

Step-by-step explanation:

The given expression is :

x = 3 (y + w) -1

We need to find the value of w in terms of x and y.

Solving RHS of the given expression :

x = 3y+3w-1

subtracting both sides 3y.

x-3y = 3y+3w-1 -3y

x-3y = 3w-1

Add 1 both sides

x-3y+1=3w-1+1

3w=x-3y+1

\(w=\dfrac{x-3y+1}{3}\)

Hence, the correct option is (c) "\(w=\dfrac{x-3y+1}{3}\) i.e. w = StartFraction x minus 3 y + 1 Over 3 EndFraction.

Answer:

y=4/-2

Step-by-step explanation:

I think that is the answer

Answer:

\(y=3x+1\)

Step-by-step explanation:

Given the following question:

Point A = (0, 1) = (x1, y1)
Point B = (-2, -5) = (x2, y2)

In order to find the answer, we must first find the slope of the two given points by using rise over run.

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{-5-1}{-2-0}\)
\(m=\frac{-5-1}{-2-0} =\frac{-6}{-2}\)
\(=\frac{-6}{-2} =-6\div-2=3\)
\(m=3\)

Now that we know the slope, we can now write the equation in slope intercept form.

\(y=mx+b\)
\(m=3\)
\(y=1\)
\(x=0\)

Substitute:

\(1=3(0)+b\)
\(3\times0=0\)
\(1=b\)
\(b=1\)
\(y=3x+1\)

Hope this helps.

Answer:4

Step-by-step explanation:4x+6<2x+12

                                            4x-2x+6<12

                                            2x+6<12

                                            2x<12-6

                                            2x<6

                                            2x/2<6/2

                                            x<3

Answer:

52 miles

Step-by-step explanation:

You can use simple law of proportions to calculate this one.

\(\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles\)

solve for x and you get 52 miles.

I have added a similar example below if that helps further explain this.

Answer:

1) 7995.9 feet

2) 12 degrees

Step-by-step explanation:

1)

We can start by drawing a diagram of the situation. Let's label the height of the tower as "h", the distance from the airplane to the tower as "d", and the angle of depression as 56°.

  C (top of tower)

               /|

              / |

             /  |h

            /   |

           /θ   |

    A_____/_____|

        d   B

In this diagram, point A represents the airplane, point B represents the base of the tower, and point C represents the top of the tower. The angle θ is the angle of depression from the airplane to the top of the tower.

We can use trigonometry to solve for the distance "d" from the airplane to the tower. In particular, we know that:

tan(θ) = h / d

We can rearrange this equation to solve for "d":

d = h / tan(θ)

Substituting the values we know, we get:

d = 320 / tan(56°)

Using a calculator, we can evaluate this to get:

d ≈ 215.8 feet

However, the airplane is flying at an altitude of 7,450 feet, so we need to add this to the height of the tower to get the total distance from the airplane to the ground:

total distance = d + 320 + 7,450

Plugging in the value we found for "d", we get:

total distance ≈ 7995.8 feet

Rounding to the nearest tenth, we get:

total distance ≈ 7995.8 ≈ 7995.9 feet

2)

We can use the tangent function to find the angle of depression. Let theta be the angle of depression. Then:

tan(theta) = (275 / 1324)

We can solve for theta by taking the inverse tangent (or arctan) of both sides:

theta = arctan(275 / 1324)

Using a calculator, we find:

theta ≈ 11.92 degrees

Rounding to the nearest whole number, we get:

The angle of depression is approximately 12 degrees.