solve for x:

5/2 - x = 5x - 2x

The probability that the mean rent is more than $1200 is 0.0488 or 4.88%.Hence, the correct option is (B) 0.0488.

Given that the mean rent of a 3-bedroom apartment in Orlando is $1250. You randomly select 13 apartments around town. The rents are normally distributed with a standard deviation of $290. We need to find the probability that the mean rent is more than $1200.Steps to solve the problem: The sample size is 13 which is less than 30, and the population standard deviation is known.

Therefore, we use the t-distribution to find the required probability.

The formula to calculate t-score is given by:

t-score = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Where, Sample mean = $1200 Population mean = $1250 Population standard deviation = $290Sample size = 13t-score = ($1200 - $1250) / ($290 / sqrt(13))

t-score = -1.47

Using the t-table, with a degree of freedom of 12 at a significance level of 0.05,

we get the t-value as -1.782.So, P ( t > t-score ) = P ( t > 1.47 ) = P ( t > 1.782 ) [ from t-table ] = 0.0488

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The derivative for each of the definite integrals using the fundamental theorem of calculus is

a) d/dx ∫ 4x(2(6cos(t)+7)⁴)dt is 4(2(6cos(b)+7)⁴) - 4(2(6cos(a)+7)⁴)

b)  d/dx ∫ x³(4sin(t³−3))dt is 12(b²sin(b³-3) - a²sin(a³-3))

The fundamental theorem of calculus tells us that the derivative of the definite integral of a function f(x) with respect to x is equal to the function evaluated at the upper limit of integration minus the function evaluated at the lower limit of integration. In other words, if we have an integral of the form ∫f(x)dx evaluated from a to b, then

d/dx ∫f(x)dx = f(b) - f(a)

Let's apply this to the first integral, A).

A) d/dx ∫ 4x(2(6cos(t)+7)⁴)dt

We begin by recognizing that the function inside the integral is a function of t, not x. However, we want to take the derivative with respect to x. This means that we need to use the chain rule to differentiate the integrand with respect to x.

Using the chain rule, we have

d/dx [4x(2(6cos(t)+7)⁴)] = 4(2(6cos(t)+7)⁴)(d/dx [4x])

= 4(2(6cos(t)+7)⁴)(4)

= 32(2(6cos(t)+7)⁴)

Now, we can apply the fundamental theorem of calculus. Let's say we are evaluating the integral from a to b. Then,

d/dx ∫ 4x(2(6cos(t)+7)⁴)dt = [4b(2(6cos(t)+7)⁴)] - [4a(2(6cos(t)+7)⁴)]

= 4(2(6cos(b)+7)⁴) - 4(2(6cos(a)+7)⁴)

This is the final answer for A).

Now, let's move on to integral B).

B) d/dx ∫ x³(4sin(t³−3))dt

Again, we need to use the chain rule to differentiate the integrand with respect to x.

d/dx [x³(4sin(t³−3))] = (d/dx [x³])(4sin(t³−3))

= 3x²(4sin(t³−3))

Now, we apply the fundamental theorem of calculus. Let's say we are evaluating the integral from a to b. Then,

d/dx ∫ x³(4sin(t³−3))dt = [3b²(4sin(t³−3))] - [3a²(4sin(t³−3))]

= 12(b²sin(b³-3) - a²sin(a³-3))

This is the final answer for B).

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Answer:

Answer: Option A.

Step-by-step explanation:

Hey there!

Here,

One angle measure is 35°.

Now,

35°+ angle 5= 180° { being linear pair}.

Angle 5 = 180° - 35°

Therefore the measure of angle 5 is 145°.

Angle 5 = angle 3 {alternate angle }.

Therefore the measure of angle 3 is 145°.

Hope it helps..

Answer:

x = 108

Step-by-step explanation:

By analyzing the question, The side adjacent to angle L is D)JR.

In a triangle, adjacent sides are sides that share a common vertex (or corner) and are next to each other.

An angle is the amount of rotation between two lines or planes that share a common point. It is typically measured in degrees or radians.

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Jennie has 20 points.

Explanation:

to Ada's points is 4 to 7. If Ada has 15 more points than Jennie, how many points does Jennie have?

To solve this problem, we can use proportions. We know that the ratio of Jennie's points to Ada's points is 4 to 7, so we can set up the following proportion:

4/7 = Jennie's points / Ada's points

We also know that Ada has 15 more points than Jennie, so we can add 15 to both sides of the proportion to represent this:

4/7 = Jennie's points / (Jennie's points + 15)

Next, we can cross-multiply to solve for Jennie's points:

4 * (Jennie's points + 15) = 7 * Jennie's points

4 * Jennie's points + 60 = 7 * Jennie's points

We can then subtract 4 * Jennie's points from both sides to isolate the variable:

60 = 3 * Jennie's points

Finally, we can divide both sides by 3 to find the value of Jennie's points:

Jennie's points = 60/3 = 20

Thus, Jennie has 20 points.

Answer:

0.4 is the answer

Step-by-step explanation:

Answer:graph A

Step-by-step explanation:

because I clicked the wrong one ‍♀️

Answer:

b=2 a=5

Step-by-step explanation:

The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

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Miggy’s car is a Ferrari and if it has over ten thousand miles on its odometer, then it requires repairs monthly.

If Miggy’s car is not a Ferrari or not a Ford, then he gets speeding tickets frequently and it requires repairs monthly.

Either Miggy’s car is red and it is a Ferrari, or it is yellow and it is a Ford.

Miggy’s car has over ten thousand miles on its odometer and requires repairs monthly if and only if it is a Ferrari or a Ford.

If Miggy’s car is not a Ferrari, then he doesn't get speeding tickets frequently and it has over ten thousand miles on its odometer.

The first statement says that Miggy's car is a Ferrari and if its odometer reads over ten thousand miles, it will require monthly repairs. This is represented by the conjunction of propositions p and (t → u), where p represents "Miggy's car is a Ferrari," and (t → u) represents "if the car has over ten thousand miles on its odometer, then it requires repairs monthly."

The second statement says that if Miggy's car is not a Ferrari or not a Ford, then he gets speeding tickets frequently and it requires repairs monthly. This is represented by the conditional statement (~p V ~q) → (v Ʌ u), where ~p represents "Miggy's car is not a Ferrari," ~q represents "Miggy's car is not a Ford," v represents "Miggy gets speeding tickets frequently," and u represents "Miggy's car requires repairs monthly."

The third statement says that either Miggy's car is red and it is a Ferrari or it is yellow and it is a Ford. This is represented by the disjunction of propositions (r → p) V (s → q), where r represents "Miggy's car is red," s represents "Miggy's car is yellow," p represents "Miggy's car is a Ferrari," and q represents "Miggy's car is a Ford."

The fourth statement says that Miggy’s car has over ten thousand miles on its odometer and requires repairs monthly if and only if it is a Ferrari or a Ford. This is represented by the biconditional statement (t Ʌ u) ↔ (p V q), where t represents "Miggy's car has over ten thousand miles on its odometer."

The fifth statement says that if Miggy's car is not a Ferrari, then he doesn't get speeding tickets frequently and it has over ten thousand miles on its odometer. This is represented by the conjunction of propositions ~p → ~v and t, where ~v represents "Miggy doesn't get speeding tickets frequently."

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Answer:

180.34cm

Step-by-step explanation:

Multiply 12x5=60, then multiply 60x2.54=152.4, then multiply 11x2.54=27.94, then add 152.4+27.94 of it together, which is 180.34

she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four

Step-by-step explanation:

Answer:4

Step-by-step explanation:6x6=36+4=40

As per the given half life the approximate mass of the sample after 20 hours is 0.03125

The term half life is defined as the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay.

Here we have know that Sean is conducting an experiment with an isotope of a particular element that has a half-life of 4 hours.

And here we also know that he begins with a sample of the isotope with a mass of 92 grams and then measures the mass of the object every hour.

Then the approximate mass of the sample after 20 hours is calculated as,

=> 20/4 = 5

Then the value after 5 hours of time is calculated as,

=> 1/2⁵

=> 0.03125

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The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

According to the statement

we have to find that the rational numbers.

So, For this purpose, we know that the

Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.

From the given information:

The given numbers are between -1/2 and 4/7

Then to find the numbers then

Rational numbers = (-1/2 +4/7) /2

Rational numbers = (-1 +2/7)

Rational numbers = -5/7.

And then the number becomes -6/7, 2/7,3/7.

Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.

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The cumulative distribution function (CDF) of X is\(F(x) = 1 - e^(-4x).\)

The cumulative distribution function (CDF) of a continuous random variable X gives the probability that X takes on a value less than or equal to a given value x. In this case, the CDF of X, denoted as F(x), is calculated as 1 minus the exponential function \(e^(-4x)\). The exponential term represents the probability density function (PDF) of X, which is given as \(f(x) = 4e^(-4x)\). By integrating the PDF from 0 to x, we can obtain the CDF.

The cumulative distribution function (CDF) is a fundamental concept in probability theory and statistics. It provides a way to characterize the probability distribution of a random variable by indicating the probability of observing a value less than or equal to a given value. In this case, the CDF of X allows us to determine the probability that X falls within a certain range. It is particularly useful in calculating probabilities and making statistical inferences based on continuous random variables.

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The range of time values that describes the entire interval over which she would be interpolating is 0 to 18 minutes.

Interpolating is a mathematical technique which involves estimating values between two known points. It is commonly used in science and engineering to estimate values of a function or equation at points between two known points. Interpolation can also be used to determine values of a dataset at points where the data is missing.

Interpolating involves estimating values between two known points, so she would need to consider all points between 0 and 18 minutes.

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The distance driven by morris family is \(368.5\) miles in \(5.5\) hours. Using this, their rate of speed is found to be \(67\) miles per hour.

Rate of speed is defined as the total movement of a body in a definite time interval. To determine the rate of speed at which the Morris family drove, we need to divide the distance they covered by the time it took them to cover it. Therefore, the rate of speed can be calculated using the formula as follows:
Rate of speed\(=\frac{Distance}{Time}\)
Given that the Morris family drove \(368.5\) miles in \(5.5\) hours, we can substitute these values in the formula above:
Rate of speed\(=\frac{368.5}{5.5}\)
Simplifying the above expression, we get:
Rate of speed\(=67\) miles per hour
Therefore, the Morris family's rate of speed was \(67\) miles per hour.

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The pOH of the 0.375 M weak base solution is approximately 3.63, and the corresponding pH is approximately 10.37.

To evaluate the pOH of a 0.375 M weak base solution with a pKb of 6.11, we can follow the steps outlined earlier.

Step 1: Calculate the hydroxide ion concentration [OH-]

\(Kb = 10^(-pKb) = 10^(-6.11) ≈ 7.89 x 10^(-7)\)

\([OH-] = sqrt(Kb * [weak base]) = sqrt((7.89 x 10^(-7)) * (0.375)) =2.34 x 10^(-4) M\)

Step 2: Calculate the pOH

pOH = -log10([OH-]) = -log10(2.34 x 10^(-4)) ≈ 3.63

Step 3: Calculate the pH

pH = 14 - pOH = 14 - 3.63 ≈ 10.37

Therefore, the pOH of the 0.375 M weak base solution is approximately 3.63, and the corresponding pH is approximately 10.37.

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In most statistical studies, the parameter is unknown and the statistic is known.

A parameter is a numerical value that describes a characteristic of a population, while a statistic is a numerical value that describes a characteristic of a sample.

For example, if we are interested in the average height of all the students in a school, the parameter would be the true average height of all students in the school, while the statistic would be the average height of a sample of students we measured.

It is often impossible or impractical to measure the entire population, so we use statistics to estimate the unknown parameters based on the information we have from the sample

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Answer:

90*

Step-by-step explanation:

Answer:

D) 81

Step-by-step explanation:

I think cause you would do 3 by the second power so that would be 9 then 9 the the second power would be 81 so yeah good luck

Answer:

D is your correct answer

Step-by-step explanation:

Well first things first if we want to simplify with a base and an exponent we can use product of two powers with like bases.

-------------------------

Example/model of product of two powers with like bases:

x^m + n (adding the exponents)

-------------------------

If we add those two exponents you get 3^4. Then if you do 3 x 3 x 3 x 3 = ?

What do you get? You get 81. Hope this helpss! Good luck!!

Answer: 30

Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.

Answer:

Step-by-step explanation:

To find the diagonal path way, use Pythagorean theorem.

Diagonal² = length² + width²

                 = 24² + 18²

                 = 576 + 324

                = 900

diagonal = √900 = √30 *30

diagonal = 30 ft

Answer:

680

Step-by-step explanation:

x = total number

.6x  = bus riders = 408              (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

The volume of water in the ocean is estimated to be approximately 1,332,000,000,000,000,000 liters.

The Earth's oceans cover about 71% of the planet's surface and contain a vast amount of water. To calculate the volume of water in the ocean, we need to consider the average depth and the total surface area of the oceans.

The average depth of the ocean is estimated to be around 3,800 meters. The total surface area of the oceans is approximately 361,900,000 square kilometers. By multiplying the average depth by the surface area, we can find the volume of water.

Volume = Average Depth × Surface Area

Using the given values, we have:

Volume = 3,800 meters × 361,900,000 square kilometers

To convert this volume to liters, we need to consider that 1 cubic meter is equal to 1,000 liters. Therefore, we can multiply the volume in cubic meters by 1,000 to obtain the volume in liters.

Calculating the above expression, we find that the volume of water in the ocean is approximately 1,332,000,000,000,000,000 liters. This is an estimation and may vary slightly depending on the sources and assumptions used for average depth and surface area calculations.

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Answer:

#1. First label the function as y=f (x) #2. Express x as a function of y #3. Find all possible values of y for which f (y) is defined y y. #4. Element values of y by looking at the initial function f (x)

Step-by-step explanation:

Answer:

The fifth piece of the pyramid after it has been sliced by four cutting planes is a triangular prism. The volume of a triangular prism can be calculated using the formula:

Volume = (base area) * (height)

Where base area is the area of the triangular base of the prism and height is the distance from the base to the top of the prism.

In this case, the base of the triangular prism is an equilateral triangle with side length equal to the side length of the original pyramid, and the height of the prism is equal to the altitude of the original pyramid.

So, the volume of the triangular prism can be calculated as follows:

Volume = (base area) * (height)

= [(side length)^2 * sqrt(3)/4] * (height)

= (side length)^2 * sqrt(3)/4 * (height)

Where side length is the side length of the original pyramid and height is the altitude of the original pyramid.

Therefore, to find the volume of the triangular prism, you will need to know the side length and altitude of the original pyramid.

Answer:

i think it is B

Step-by-step explanation:

because the height and length are going to be that same

Answer:

very likely

Step-by-step explanation: