Find the volume of the figure when b = 2 ft and h = 9 ft.
ft3
b
b

Answer:

Yes it is linear because the line is straight and constantly declining.

Step-by-step explanation:

Answer:

Yes it is linear

Step-by-step explanation:

Basically the same thing the other one said lol. good luck!

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Answer:

\(7\sqrt{2}\)

Step-by-step explanation:

Use trigonometry.

sin 45 degrees = x/14

plug in values and you get x = \(7\sqrt{2}\)

Answer:

72

Step-by-step explanation:

Step-by-step explanation:

4x+3+8x-9+y=180

With a margin of error of 3%, the poll suggests that George W. Bush's actual approval rating among likely voters in December 2008 was somewhere between 27% and 33%.

The margin of error in a poll indicates the degree of uncertainty associated with the poll's results.

In this case, the poll from December 2008 indicated that 30% of likely voters approved of George W. Bush's job as president, with a margin of error of 3%.

A margin of error of 3% means that the actual approval rating among all likely voters could be 3 percentage points higher or lower than the reported value of 30%.

In other words, the true approval rating could range from 27% (30% - 3%) to 33% (30% + 3%) based on the sample.

Therefore, with a margin of error of 3%, the poll suggests that George W. Bush's actual approval rating among likely voters in December 2008 was somewhere between 27% and 33%.

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Answer:

x = \(\frac{11}{c}\)

Step-by-step explanation:

Given

cx - 4 = 7 ( add 4 to both sides )

cx = 11 ( isolate x by dividing both sides by c )

x = \(\frac{11}{c}\)

A linear equation is an equation in which the highest power of an unknown quantity is 1. Among the given options, the equation y = 6x + 8 is linear.

Hence, the correct option is a. y = 6x + 8.

An equation is linear if and only if it can be written in the form y = mx + c, where m and c are real numbers. In the given options, the equation y = 6x + 8 can be written in the form y = mx + c where m = 6 and c = 8, so it is linear. On the other hand, the equation y – x = 8x2 can be rearranged to give y = 8x2 + x, so the highest power of x is 2. Hence, this equation is not linear.Similarly, the equation 4y = 8 can be rearranged to give y = 2, which is a constant, and so it is also not linear.Finally, the equation y7 = 3x is not linear because the exponent 7 on y is greater than 1 and makes the equation non-linear. Therefore, the correct answer is option a. y = 6x + 8.

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Answer:

0.410714

Step-by-step explanation:

Dividend ÷ Divisor = Quotient

Answer:

add 3 to both sides

Step-by-step explanation:

just add them

The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Answer:

68 are not blue

Step-by-step explanation:

it's in the pic above if u need the steps.

A function decreases on an interval if the function values (y-values) decrease as the input values (x-value) increase over that interval.

For the given function: The next is the interval on which the graph of f is decreasing:

Interval:

There is no solution to this problem. None of the answer choices (A, B, C, D) are correct.

Let's start by representing the original two-digit number as 10x + y, where x represents the tens digit and y represents the ones digit.

When we reverse the digits, we get the number 10y + x. According to the problem, this number is 9 less than three times the original number:

10y + x = 3(10x + y) - 9

Simplifying this equation, we get:

10y + x = 30x + 3y - 9

7y - 29x = -9

We also know that the difference between these two numbers is 45:

(10x + y) - (10y + x) = 45

9x - 9y = 45

x - y = 5

Now we have two equations with two variables, which we can solve using substitution or elimination. I'll use elimination:

7y - 29x = -9
-7y + 7x = 35 (multiplying the second equation by -7)

Adding these two equations, we get:

-22x = 26

x = -13/11

This doesn't make sense, since x should be a digit between 1 and 9.

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Answer:

40.5 points

Step-by-step explanation:

To start off, I would set up a proportion. You're trying to find how many points out of the total 45 would give you a 90%.

90% as a fraction would be \(\frac{90}{100}\).

When you set the two equal to one another, you get this:

\(\frac{x}{45} = \frac{90}{100}\)

The bottom numbers are the total amount of points, and the top is how many points a student got.

To solve for x, which is the number of points a student would need to earn, you can cross multiply.

After you do that, you should get:

100x = 4050

To isolate x, you can divide by 100 on both sides.

x = \(\frac{4050}{100}\) = 40.5 points

To check your answer, all you have to do is divide.

40.5 ÷ 45 = 0.9

0.9 as a percent is 90%.

Answer:

Point H, Point D, Point G, Point F

Answer:

9

Step-by-step explanation:

54÷6= 9

27÷3= 9

18÷2= 9

hence the answer is 9.

(a) The doubling time of the population is approximately 13.86 years., (b) It takes approximately 23.10 years for the population to triple in size, (c) It takes approximately 27.72 years for the population to quadruple in size.

To calculate the doubling time of the population, we need to find the time it takes for the population to double from its initial value. In this case, the initial population is 9 million.

(a) Doubling Time:

Let's set up an equation to find the doubling time. We know that when the population doubles, it will be 2 times the initial population.

2P(0) = P(t)

Substituting P(t) = 9e^(0.05t), we have:

2 * 9 = 9e^(0.05t)

Dividing both sides by 9:

2 = e^(0.05t)

To solve for t, we take the natural logarithm (ln) of both sides:

ln(2) = 0.05t

Now, we can isolate t by dividing both sides by 0.05:

t = ln(2) / 0.05

Using a calculator, we find:

t ≈ 13.86

Therefore, the doubling time of the population is approximately 13.86 years.

(b) Time to Triple the Population:

Similar to the doubling time, we need to find the time it takes for the population to triple from its initial value.

3P(0) = P(t)

3 * 9 = 9e^(0.05t)

Dividing both sides by 9:

3 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(3) = 0.05t

Isolating t:

t = ln(3) / 0.05

Using a calculator, we find:

t ≈ 23.10

Therefore, it takes approximately 23.10 years for the population to triple in size.

(c) Time to Quadruple the Population:

Similarly, we need to find the time it takes for the population to quadruple from its initial value.

4P(0) = P(t)

4 * 9 = 9e^(0.05t)

Dividing both sides by 9:

4 = e^(0.05t)

Taking the natural logarithm of both sides:

ln(4) = 0.05t

Isolating t:

t = ln(4) / 0.05

Using a calculator, we find:

t ≈ 27.72

Therefore, it takes approximately 27.72 years for the population to quadruple in size.

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Therefore, Based on statistical regression, Joy's score on the next exam is predicted to be a little bit lower than her 98% score on the previous exam.

Statistical regression suggests that extreme scores tend to move towards the average over time. In Joy's case, her 98% score is an extreme score and thus, we would predict that her score on the next exam will be a little bit lower than 98%.
Based on statistical regression, Joy's score on the next exam is predicted to be a little bit lower than her 98% score on the previous exam.
Based on the concept of statistical regression, it predicts that extreme scores on an initial test tend to be closer to the average score on a subsequent test. In Joy's case, she scored a 98% on her last Research Methods exam, which is considered an extremely high score.
Considering the regression to the mean, the prediction for Joy's score on the next exam would not be exactly 98%. It is more likely that her score on the next exam will be a little bit lower than 98%, as it is expected to move closer to the average score of the group.
To sum up, Joy's predicted score on the next exam will be a little bit lower than a 98%, according to the concept of statistical regression.

Therefore, Based on statistical regression, Joy's score on the next exam is predicted to be a little bit lower than her 98% score on the previous exam.

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per annum, namely compound interest with an APR of 5%.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$15000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}\)

\(A=15000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=15000(1.05)^3\implies A=17364.375 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{the interest earned is simply}}{17364.375 - 15000}\implies 2364.375\)

The gravitational potential energy is 2940 Joules

The formula for gravitational potential energy is expressed as;

Gravitational Potential energy = m g h

Where;

Substitute the values into the formula;

⇒ 20 × 9. 8 × 15

Multiply through

⇒ 2940 Joules

Thus, the gravitational potential energy is 2940 Joules

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Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

\(32^5\) - \(16^5\) + \(2^{19}\) is divisible by 63.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(32^5\) - \(16^5\) + \(2^{19}\)

= 33554432 - 1048576 + 524288

= 33030144

Now,

33030144 ÷ 63

= 524288

Thus,

It is divisible by 63.

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Answer:

x = 4

Step-by-step explanation:

here's your solution

=> 2x - 3 = - x + 9

=>. 2x + x = 9 + 3

=> 3x = 12

=>. x= 12/3

=>. x= 4

hope it helps

Answer: x=4

Step-by-step explanation:

How to solve x:

First you would collect like terms. Like terms are terms that have the same variable and powers. So, you would add x to both sides so it would be 3x-3=9 then you would add 3 to both sides so it would be 3x=12 then after that you would divide that by 3 which gives you x=4.

So x would be 4.

Side notes:

You do the inverse of what it tells you to “undo” the equation.

The arrow points to the right and the circle is open. Therefore, the options B and C are the correct answers.

The given inequality is x>-2.5.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

In the graph, at -2.5 open circle and arrow mark to infinity.

Therefore, the options B and C are the correct answers.

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Answer:

Step-by-step explanation:

Comment

If two secants intersect outside a circle (as these two do) then the angle at which they meet is 1/2 the difference between the intersected arcs. Put much simpler <DCF = 1/2 (arc EG - arc DF)

Givens

Arc EG = 127

Arc DF = 49

Solution

<DCF = 1/2(127 - 49)

<DCF = 1/2(78)

<DCF = 39

Translations, reflections, and rotations produce a figure that is congruent to the original figure.

When we perform translations, reflections, and rotations on a figure, the resulting figure maintains the same size, shape, and orientation as the original figure. In other words, the transformed figure is congruent to the original figure.

Here's a brief explanation of each transformation:

1. Translations: A translation involves sliding a figure in a particular direction without changing its orientation or shape. Every point of the figure moves the same distance and direction. The resulting figure is congruent to the original because all corresponding sides and angles remain the same length and measure.

2. Reflections: A reflection involves flipping a figure over a line, called the line of reflection. Each point of the figure is mirrored across the line, creating a symmetrical image. The resulting figure is congruent to the original because the distance between corresponding points remains the same, and the angles formed between intersecting lines are preserved.

3. Rotations: A rotation involves turning a figure around a fixed point, known as the center of rotation. The figure is rotated by a specific angle in a clockwise or counter clockwise direction. The resulting figure is congruent to the original because all corresponding angles and side lengths remain unchanged.

In each of these transformations, the congruency of the resulting figure to the original figure is a fundamental property. Congruent figures have the same shape and size, even though they may be positioned differently in space. This property allows us to apply the concept of congruence in geometry to establish relationships, prove theorems, and solve geometric problems.

Therefore, when we perform translations, reflections, and rotations on a figure, we produce a transformed figure that is congruent to the original figure.

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