Write an expression for the volume of a rectangular prism with length 7. 5 ft, width w ft, and height 4. 2 ft. Enter the smaller number first

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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Answer:

C

Step-by-step explanation:

\(-5x - 2(x + 3) \leq 4 - 3x \\ \\\to -5x - 2x - 6 \leq 4 - 3x \\ \\\to -7x - 6 \leq 4 - 3x \\ \\\to -10 \leq 4x \\ \\\to -2.5 \leq x\)

The probability from the odds is 3/7

The value of the odds is given as

Odds = 3 to 4

Represent the odds as a fraction

So, we have the following representation

Odds = 3/4

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (3/4)/(3/4 + 1)

Evaluate the sum

Probability = (3/4)/(7/4)

Evaluate the quotient

Probability = 3/7

Hence, the probability is 3/7

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There are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

To analyze the given weather system using a Markov chain, we need to identify the different possible states that the system can be in.

In this case, the states would correspond to the different combinations of weather conditions over the last three days. There are eight possible states, as each day can either be rainy or not rainy, resulting in 2^3 = 8 possible combinations.

Next, we would need to determine the probability of transitioning from one state to another. For example, if it rained for the past three days, the probability of it raining again tomorrow might be high,

while if it was sunny for the past three days, the probability of rain might be low. These transition probabilities can be estimated based on historical weather data or by observing the system for a period of time.

Once we have determined the transition probabilities, we can create a transition matrix that describes the probabilities of moving from each state to every other state. This matrix can then be used to calculate the long-term probabilities of being in each state, and to make predictions about the likelihood of rain in the future.

In summary, to analyze the given weather system using a Markov chain, we need to identify the possible states based on the weather conditions over the last three days,

determine the transition probabilities between states, create a transition matrix, and use it to calculate long-term probabilities and make predictions.

In this case, there are eight possible states, and the transition probabilities can be estimated based on historical data or observations.

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The missing coordinate of point P on the unit circle in the given quadrant is (5, -12). Point P has a positive x-coordinate and lies below the x-axis.

To find the missing coordinate of point P on the unit circle, we need to consider the given information. In the first case, the x-coordinate of P is positive, and the y-coordinate of P is -5. Since the point lies on the unit circle, we can use the Pythagorean theorem to find the missing coordinate. The Pythagorean theorem states that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Plugging in the given values, we have x^2 + (-5)^2 = 1. Solving this equation, we get x^2 + 25 = 1, which leads to x^2 = -24. Since the x-coordinate must be positive, we discard the negative solution, giving us x = sqrt(24) = 2√6. Therefore, the missing coordinate of P is (2√6, -5).

In the second case, the x-coordinate of P is missing, but we know that P lies above the x-axis. Since the point lies on the unit circle, the y-coordinate can be found using the Pythagorean theorem. Since the x-coordinate is missing, we can represent it as x = sqrt(1 - y^2). Plugging in the given y-coordinate of -12, we have x = sqrt(1 - (-12)^2) = sqrt(1 - 144) = sqrt(-143). However, since the x-coordinate cannot be imaginary, we conclude that there is no point P with a positive x-coordinate lying above the x-axis for this case.

Therefore, based on the given information, the missing coordinate of point P on the unit circle is (5, -12), satisfying the conditions of a positive x-coordinate and lying below the x-axis.

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The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we can see in the figure, the lines m and n are cut by transversal p.

Then the sum of angles mZ1 and mZ2 is equal to 180 degree.

4x + 14 +8x + 10 = 180

12x + 24 = 180

12x = 156

x = 13

Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

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Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

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Have a GREAT day!!!

Answer:

on the graph all u have to do is draw the line Have a great day and i hope this helps!

Step-by-step explanation:

Answer:

\(\displaystyle 13,834311042... = x\)

Step-by-step explanation:

\(\displaystyle \frac{x}{13} = csc\:70 \hookrightarrow 13csc\:70 = x \\ \\ 13,834311042... = x\)

OR

\(\displaystyle \frac{13}{x} = sin\:70 \hookrightarrow xsin\:70 = 13 \hookrightarrow \frac{13}{sin\:70} = x \\ \\ 13,834311042... = x\)

Information on trigonometric ratios

\(\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ\)

I am joyous to assist you at any time.

Answer:

A) x² + 7x - 12 is NOT equivalent to the expression.

Step-by-step explanation:

1) expand by distributing terms.

\( {x }^{2} - 3x + 4(x - 3)\)

2) Expand by distributing terms.

\( {x}^{2} - 3x + 4x - 12\)

3) Collect like terms.

\( {x}^{2} + ( - 3x + 4x) - 12\)

4) Simplify.

\( {x}^{2} + x - 12\)

The second equation are equivalent to the equation. but the first equation is not equivalent to the main equation.

The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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Between the mean and z-score of 3.54, 0.32% of the total population is found. Between the mean and z-score of -0.70, 24.24% is found.

For the z-score of 3.54, the percent of the all out populace between the mean and the z-score can be found utilizing the standard ordinary circulation table. The table gives the region under the ordinary bend to one side of a given z-score. Since we need the region between the mean and the z-score, we can deduct the region to one side of the z-score from 0.5 (which addresses the all out region under the bend).

Utilizing the table, we track down that the region to one side of 3.54 is 0.9997. Consequently, the region between the mean and the z-score of 3.54 is around:

0.5 - 0.9997 = 0.0003 or 0.03%

For the z-score of - 0.70, we can follow a similar interaction:

Utilizing the table, we track down that the region to one side of - 0.70 is 0.2420. In this way, the region between the mean and the z-score of - 0.70 is roughly:

0.5 - 0.2420 = 0.2580 or 25.80%.

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The complete question is:

What percent of the total population is found between the mean and the z-score given? (Use the standard normal distribution table and enter your answer to two decimal places.) z = 3.54 What percent of the total population is found between the mean and the z-score given? (Use the standard normal distribution table and enter your answer to two decimal places.) Z =-0.70.

The equation that represents the line is y = 9x + 6

This is calculated as

Slope = Change in cost/DVDs

So, we have

Slope = (24 - 15)/(2 - 1)

Slope = 9

In this problem, the slope represents the cost per number of DVD

So, the slope is $9 per DVD

We have

Slope = 9

So, the y-intercept is

y-intercept = 15 - 9

y-intercept = 6

In this context, the y‐intercept represents the initial cost

So, the y‐intercept (i.e. the initial cost) is $6

This is calculated as

y = mx + c

So, we have

y = 9x + 6

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The equation to find the area of the pool cover is:

Area = (length + 2width) * (width + 2depth)

Substituting the given values, we get:

Area = (45 + 220) * (20 + 27.5)

Area = 65 * 35

Area = 2275 square feet

Therefore, the area of the pool cover is 2275 square feet.

To find the area of the pool cover, we need to use the formula for the area of a rectangle, which is length times width. However, the pool cover is not a simple rectangle, as it has flaps that cover the sides and the ends of the pool.

We need to take into account the additional areas covered by these flaps, which are equal to the width times the depth. Therefore, the formula for the area of the pool cover is (length + 2width) times (width + 2depth). Substituting the given values, we get the area to be 2275 square feet.

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a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

We have,

a. To find the probability that a male spent less than $229 online before deciding to visit a store, we need to calculate the cumulative probability.

Using the normal distribution with a mean of $270 and a standard deviation of $19, we can calculate:

P(X < $229) = P(Z < (229 - 270) / 19) = P(Z < -2.158) ≈ 0.015

Therefore, the probability that a male spent less than $229 online before deciding to visit a store is approximately 0.015, or 1.5%.

b. To find the probability that a male spent between $298 and $320 online before deciding to visit a store, we can calculate the difference between the cumulative probabilities for each value.

Using the normal distribution, we have:

P($298 < X < $320) = P(X < $320) - P(X < $298)

= P(Z < (320 - 270) / 19) - P(Z < (298 - 270) / 19)

= P(Z < 2.632) - P(Z < 1.474)

≈ 0.995 - 0.929

≈ 0.066

Therefore, the probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 0.066, or 6.6%.

c. To find the value below which 80% of the amounts spent online by a male before deciding to visit a store fall, we can use the inverse cumulative distribution function (also known as the Z-score).

We need to find the Z-score corresponding to the cumulative probability of 0.8:

Z = invNorm(0.8) ≈ 0.842

Now, we can use the Z-score formula to find the corresponding value:

X = mean + Z x standard deviation

= $270 + 0.842 * $19

≈ $285.598

Therefore, 80% of the amounts spent online by a male before deciding to visit a store is less than approximately $285.598.

Thus,

a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

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There are exactly two unique triangles that can be created with two side lengths of 4 cm and a 45° angle: one is a 45-45-90 isosceles triangle, and the other is a triangle where one of the 4 cm sides is opposite the 45° angle.

The exact shape of the second triangle depends on the length of the third side.

The other two angles depend on the length of the third side, and there's only one unique triangle for a given third side length. This is because once the side lengths and one angle are fixed, the triangle's shape is fixed.

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True. A confidence interval provides a range of values within which the population parameter of interest is estimated to lie, with a certain level of confidence.

A confidence interval is a statistical concept used to estimate an unknown population parameter, such as a mean or proportion, based on sample data. It provides a range of values within which the population parameter is believed to lie, along with a certain level of confidence.

It is used to quantify the uncertainty associated with estimating population parameters based on sample data. The confidence level represents the probability that the interval will contain the true population parameter.

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Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

Answer:

https://preview.redd.it/t4p9fgd30ag61.gif?format=mp4&s=56295791fda9b2006756326ff4863b84a5c30271

Step-by-step explanation:

Answer:

35x ≤ 1000

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

15x^2-14x-4

Step-by-step explanation:

(8x^2 * x-7x+2)+(7x^2 -7x-6)

you take out the parentheses

you add the common ones so -7x+-7x= -14x

8x^2 +7x^2 = 15x^2

and 2-6= -4

so in total it's 15x^2-14x-4

Answer: 11x^2 -16x-3

Step-by-step explanation:

Solution:

Your problem → (8x^2-7x+2) + (3x^2-9x-5)

(8x2-7x+2)+(3x2-9x-5)

=8x2-7x+2+3x2-9x-5

=8x2+3x2-7x-9x+2-5

=11x2-16x-3

Answer:

7

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

2(-2)+3=-2

simplify

-4+3=-2

simplify

-1=-2

No answer

If there's something along the lines of no answer and it's multiple choice click that.

Answer:

He can see how long it takes to get a specific notebook let's say the science notebook, for example. He can do this for all the notebooks and record the total number attempts for each of them.

Another way is that he can grab a random notebook and see which one he got. He can do this 4 times and see the results of the attempts.

Answer/Step-by-step explanation:

A pretty good way is to use a spinner.

Using a spinner that equally divided.

Refer to image below:

Kavinsky

The area of the regular octagon inscribed in a circle with a radius of 16 feet can be found using the formula A = (2 + 2sqrt(2))r^2, where r is the radius of the circle. Plugging in the value for r, we get:

A = (2 + 2sqrt(2))(16)^2

A = (2 + 2sqrt(2))(256)

A = 660.254 ft^2

Therefore, the area of the regular octagon is approximately 660.254 square feet.

To derive the formula for the area of a regular octagon inscribed in a circle, we can divide the octagon into eight congruent isosceles triangles, each with a base of length r and two congruent angles of 22.5 degrees. The height of each triangle can be found using the sine function, which gives us h = r * sin(22.5). Since there are eight of these triangles, the area of the octagon can be found by multiplying the area of one of the triangles by 8, which gives us:

A = 8 * (1/2)bh

A = 8 * (1/2)(r)(r*sin(22.5))

A = 4r^2sin(22.5)

We can simplify this expression using the double angle formula for sine, which gives us:

A = 4r^2sin(45)/2

A = (2 + 2sqrt(2))r^2

Therefore, the formula for the area of a regular octagon inscribed in a circle is A = (2 + 2sqrt(2))r^2.

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Answer:

Your answer should be -13/15 < -5/6

Step-by-step explanation:

You would want to get the fractions to common denominators which in this case is 30.

So -13/15 = -26/30 (13*2 = 26, 15*2 = 30.)

And -5/6 = -25/30 (5*5 =25, 6*5 = 30.)

Since the fractions are also negative, the number closest to 0 would be the greater fraction. Which in this case would be -5/6. I hope this helps you! :)

The correct answer is E) None of these. The expression "-3 + 4 6/5" involves both addition and multiplication operations.

According to the order of operations (PEMDAS/BODMAS), multiplication should be performed before addition.

First, let's evaluate 4 * 6/5=

4 * 6/5 = 24/5 = 4.8

Now, we can substitute this value back into the expression:

-3 + 4.8 = 1.8

Therefore, the value assigned to x after the assignment statement is executed is 1.8, which is not an integer. Since x is declared as an int variable, it cannot hold a decimal value, so the correct answer is E) None of these.

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