An urn contains 11 white balls and 10 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball? a) 0.0001 b) 0.0397 c) 0.9603 d) 0.9972 e) 0.9999 f) None of the above.

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

Assuming the red line goes infinitely towards -x and positive x, the answer should be C because it would be listed as (-∞,∞)

Answer:

I think it’s C

Step-by-step explanation:

A. How long did it take the shuttlecock to fall to the bottom? The time it took for the shuttlecock to fall to the bottom is 0.78 seconds.B. What was the acceleration of the shuttlecock during its fall? The acceleration of the shuttlecock during its fall is −9.81 m/s².C. What was the velocity of the shuttlecock when it hit the bottom?

The velocity of the shuttlecock when it hit the bottom is −7.68 m/s. This is an example of instantaneous velocity.D. What is the mathematical relationship between these three values? The mathematical relationship between these three values is described by the formula:v = at + v0 where:v is the final velocity is the acceleration is the time it took for the object to fallv0 is the initial velocity8. Make a rule:

If the acceleration is constant and the starting velocity is zero, what is the relationship between the acceleration of a falling body (a), the time it takes to fall (f), and its instantaneous velocity when it hits the ground (v)?The mathematical relationship between the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground (v) when the acceleration is constant and the starting velocity is zero can be expressed by the following formula:v = at where:v is the final velocity is the accelerationt is the time it took for the object to fall.

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It costs $0.50 to mail a postcard to Canada, cost of mailing a one ounce letter to Canada is $0.60 and Ahmad wrote to 21 friends and spent $12.00 for postage. This means that he wrote 15 letters and 6 postcards.

Given Information:

Cost of mailing a postcard = $0.50

Cost of mailing a letter = $0.60

Total number of friends Ahmad wrote to = 21

Total cost of postage = $12.00

Let the number of postcards written by Ahmad be x and that of letters be y.

Then, x + y = 21 ............... (1)

0.50x + 0.60y = 12 ................ (2)

Multiplying equation (1) by 0.50, we get,

0.50x + 0.50y = 10.5 ................. (3)

Subtracting equation (3) from (2), we get,

0.1y = 1.5

⇒ y = 15

From equation (1), x = 21 - y

x = 21 - 15

x = 6

Thus, Ahmad wrote 6 postcards at a mailing cost of $0.50 each and 15 letters at a mailing cost of $0.60 each.

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Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Answer:

Its infinite solutions

Step-by-step explanation:

Answer:

1:3

n=3

Step-by-step explanation:

1 hour = 60 minutes

20:60

20÷20=1

60÷20=3

1:3

Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82

The missing side lengths are x = y =  2sqrt(2) units.

In a 45-90-45 degree triangle, the two legs are congruent. Therefore, if one leg has length x, the other leg must also have length x.

Using the Pythagorean Theorem, we can write:

x^2 + y^2 = (hypotenuse)^2

Substituting the given values, we get:

x^2 + y^2 = 4^2

x^2 + y^2 = 16

We know that the two legs of the triangle are congruent, so we can write:

x = y

Substituting this into the equation above, we get:

x^2 + x^2 = 16

2x^2 = 16

x^2 = 8

x = sqrt(8) = 2sqrt(2)

So the missing side length (base) is 2sqrt(2) units.

To find the perpendicular length (y), we can use the fact that x = y. Therefore:

y = x = 2sqrt(2) units

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The given question is incomplete, the complete question is:

Find the missing side lengths. Leave your answers as radicals in simplest form

Answer:

approximately 1.81 meters.

Step-by-step explanation:

Let's call the height of the tree "h". We can set up a proportion based on the similar triangles formed by Nicole, her shadow, the tree, and the tree's shadow:

(height of Nicole) / (length of Nicole's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

1.55 / 25.6 = h / 30.05

Simplifying and solving for h, we get:

h = (1.55 / 25.6) * 30.05

= 1.81181640625

Rounding to the nearest hundredth, we get:

h ≈ 1.81 meters

the height of the tree is approximately 1.81 meters.

If you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

A statement that upholds the equality of two mathematical expressions is known as an equation. An identity is a statement that is true regardless of the value of each variable. A conditional equation is one that only holds true for certain values of one or more variables.

On the other hand, an inequality is a claim that indicates that one quantity has a greater or lesser value than another using the symbols > for greater than or for lesser than. An inequality has values for every variable, much like an identity. It concentrates on two-variable inequalities with a single exponent.

If both sides of an inequality are multiplied or divided by a negative value, the inequality sign must be reversed. This is due to the fact that adding or subtracting a negative integer causes the numbers on the number line to appear in reverse order.

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Answer:

Step-by-step explanation:

\(m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5\)

Answer:

\(n=-5\)

Step-by-step explanation:

\(12+12n=-48 \\ \\ n+1=-4 \\ \\ n=-5\)

Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees by using congruence of triangles.

Two triangles are congruent if their corresponding sides are the same length and their corresponding angles are the same size.

According to the SAS criterion for triangle congruence, two triangles are congruent if they have two pairs of congruent sides and the included angle (the one between the congruent sides) in one triangle is congruent to the included angle in the other triangle.

Given

See the attachment for the triangle.

What evidence do you have?

SAS is used by STU and VTU.

To demonstrate their resemblance, we must examine the corresponding sides and angles of both triangles.

To begin, UST must equal UVT.

As a result, UST=UVT=98⁰.

Then, UV must equal US.

So:

UV = US = 14⁰

Furthermore, ST must equal VT.

So:

Furthermore, ST must equal VT.

As a result, ST = VT = 200.

Finally, TUV must be equal to TUS.

So: TUV = TUS = 450

Options A and D are both correct. UV = 14 feet and mTUV = 45 degrees D. ST = 20 feet, UV = 14 feet, and mUST = 98 degrees.

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The independent variable in this study is the place of residence, specifically whether the participants live in Florida or Pennsylvania.

The researcher is interested in examining the relationship between the location of residence and the amount of money spent on clothes. By selecting participants from both Florida and Pennsylvania, the researcher can compare the spending habits of individuals from these two locations and determine if there is a significant difference. Thus, the independent variable is the categorical variable that defines the groups being compared, which in this case is the place of residence.

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The standard error of the distribution of sample proportions is 0.032.

option C is the correct answer.

The standard error of the distribution of sample proportions is calculated as follows;

S.E = √(p (1 - p)) / n)

where;

The standard error of the distribution of sample proportions is calculated as;

S.E = √ ( 0.1 (1 - 0.1 ) / 90 )

S.E = 0.032

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the number of arrangements if a and m come in a unit is 720.

What is the combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The number of k-combinations for a set with n components

The word is the mailbox.

So it contains 7 words and the total number of arrangements will be 7! = 5040.

And if a and m comes in a unit then: the number of the arrangements will be 6! = 720.

Hence the number of arrangements if a and m come in a unit is 720.

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The new score was less than 50. (B)

When one new score is added to a distribution, the mean can either increase, decrease or stay the same, depending on the value of the new score and the number of scores in the distribution.

The mean of the distribution is equal to the sum of all the scores divided by the number of scores. If the new mean is found to be less than the previous mean, then it can be concluded that the new score was less than the previous mean.

In this case, the mean of the distribution was originally 50, but when the new score was added, the mean became 48. Since the mean decreased, it can be concluded that the new score was less than 50.

This result is consistent with the idea that the new score was smaller than the previous mean, which would result in a decrease in the mean when added to the distribution.

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Answer:don’t understand

Step-by-step explanation:

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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Answer:

6 mm  slope 3

Step-by-step explanation:

The more accurate method for calculating the total energy converted would be calculating the energy converted from the average power and total time.

To do this, follow these steps:

1. Determine the average power (in watts) during the given time period.
2. Calculate the total time (in seconds) of the conversion process.
3. Use the formula: Energy (in joules) = Average Power (in watts) x Total Time (in seconds).

This method provides a more accurate representation of the energy conversion as it takes into account the overall average power and time, rather than making multiple separate calculations and adding them together, which could result in potential discrepancies due to varying power levels throughout the process.

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After the additional registrations, there were 100 more voters registered as Democrats than as Republicans in the district by using the concept ratio.

Let's assume the initial number of registered Republicans in the district is 3x, and the initial number of registered Democrats is 5x.

According to the given information, the ratio of Republicans to Democrats before the additional registrations was 3/5. Therefore, we have the equation:

(3x + 600) / (5x + 500) = 3/5

To solve this equation, we can cross-multiply:

5(3x + 600) = 3(5x + 500)

15x + 3000 = 15x + 1500

By subtracting 15x from both sides, we get:

3000 = 1500

This equation is inconsistent and cannot be satisfied. This means there is no valid solution based on the given information. However, if we assume the ratio before the additional registrations was 5/3 instead of 3/5, we can solve the equation:

(3x + 600) / (5x + 500) = 5/3

Cross-multiplying again:

3(3x + 600) = 5(5x + 500)

9x + 1800 = 25x + 2500

Simplifying and rearranging the equation:

16x = 700

x = 700/16 ≈ 43.75

Now we can find the number of registered Democrats and Republicans after the additional registrations:

Democrats: 5x + 500 = 5(43.75) + 500 ≈ 319.75

Republicans: 3x + 600 = 3(43.75) + 600 ≈ 331.25

The difference between the number of registered Democrats and Republicans is:

319.75 - 331.25 ≈ -11.5

Since we're only interested in the absolute difference, the result is approximately 11.5 voters. Thus, there were approximately 11.5 more voters registered as Republicans than as Democrats after the additional registrations.

Based on the given information, there is no valid solution that satisfies the ratio of 3/5 after the additional registrations. However, if we assume the ratio was 5/3, then there were approximately 11.5 more voters registered as Republicans than as Democrats after the registrations.

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Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17.

Step-by-step explanation:

Answer:

5^12

Step-by-step explanation:

When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.

Answer:

1250

Step-by-step explanation:

5 times 5 times 5

Answer: 160

Step-by-step explanation:1920 divided by 12

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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Answer:

16

Step-by-step explanation:

Answer: 16 years old

Step-by-step explanation:

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16