A random variable follows a normal distribution with a mean of 16.73 and a standard deviation of 2.18. A randomly selected individual from the previous normal distribution has 33% of observation above it.', find the z-score associated with that individual. Important, do not forget the negative sign if your z-score is negative.

Answer:

x = -30

Step-by-step explanation:

-2/3x = 20

~Multiply -3/2 to both sides

x = -30

Best of Luck!

Answer:

x = -30.

Step-by-step explanation:

You must solve for x. To do this, you must divide -2/3 from both sides to get the x variable by itself.

Divide by -2/3 on the left. This gives you x by itself on the left side.

Next, divide 20 by -2/3.

When dividing by a fraction, use the KCF rule, Keep Change Flip.

Keep the 20. Change the sign from division to multiplication. Flip the fraction.

So 20 divided by -2/3 is the same as 20 times -3/2. Basically you just change the sign and flip the fraction to divide by a fraction.

20/1 times -3/2 = -60/2.

-60 / 2 = -30.

So your answer is -30. Basically to solve these, you need to just solve for x by dividing what is attached to x from both sides.

x = -30.

Solving a linear equation we conclude that the helicopter will take 4 minutes to reach the ground.

We know that the equation that models the height of the helicopter is:

y = -300*x + 1200

Where y is the height and x is the time in minutes.

The helicopter will reach the ground when y = 0, then we need to solve:

0 = -300*x + 1200

Now we can solve this linear equation for x, it will give:

300*x = 1200

x = 1200/300 = 4

x = 4

Then, we conclude that the helicopter will take 4 minutes to reach the ground.

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Answer:

facundo3141592Ace12.2K answers78.3M people helpedSolving a linear equation we conclude that the helicopter will take 4 minutes to reach the ground.How long does it take to reach the ground?We know that the equation that models the height of the helicopter is:y = -300*x + 1200Where y is the height and x is the time in minutes.The helicopter will reach the ground when y = 0, then we need to solve:0 = -300*x + 1200Now we can solve this linear equation for x, it will give:300*x = 1200x = 1200/300 = 4x = 4Then, we conclude that the helicopter will take 4 minutes to reach the ground.If you want to learn more about linear equations

Step-by-step explanation:

The sample variance is the most accurate point estimate of the population variance sigmasquared.

The best point estimate of the population variance is the sample variance. This is because the sample variance is an unbiased estimator of the population variance, meaning that it is the most accurate estimate of the population variance. The sample variance is calculated by taking each individual data point, subtracting the sample mean, squaring the result, and then summing the results. The sample variance then is the sum of these squared differences divided by the number of data points minus one. This is a consistent estimator, meaning that it will always produce the same result even if the sample size is different. This is why the sample variance is the best point estimate for the population variance.

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The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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y-8= -4(x-1)

point slope form without the numbers is

y-y1=m(x-x1)

The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

The number of steps he would have to take to make the cut for the top 5% for his distribution is 12,031.5.

Suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. So, the population parameters are:

Mean=μ=10,000

Standard Deviation=σ=1,500

We need to find the number of steps he would have to take to make the cut for the top 5% for his distribution.

Step 1: We need to find out the z-score for the top 5% of the distribution.

We can find out the z-score for the top 5% of the distribution using the standard normal distribution table. The table value of z for 0.05=1.645. Check the attachment.

Step 2: We can use the z-score formula to find out the value of X for the top 5% of the distribution.

z=(X-μ)/σ

Rearranging the above equation, we get:

X=μ+z.σ

X=10,000+1.645×1,500

X=12,031.5

Therefore, It would take him 12,031.5 steps to make the top 5% for his distribution.

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Answer:

5

Step-by-step explanation:

thanks for the points

Answer:

2.704814e+300

is what I got

The value of the given number 1 x 10¹⁰⁰ by applying the logarithms is equal to 100.

To find the number represented by 1 x 10¹⁰⁰ using logarithms, we can use the base-10 logarithm function.

The logarithm (base-10) of a number x is denoted as log(x) and represents the power to which 10 must be raised to get the number x.

Here, we have 1 x 10¹⁰⁰, and we want to find the value of x.

Using the logarithmic expression:

log(1 x 10¹⁰⁰) = log(1) + log(10¹⁰⁰)

The logarithm of 1 (log(1)) is equal to 0, so the expression simplifies to:

log(1 x 10¹⁰⁰) = 0 + log(10¹⁰⁰)

Now, using the property of logarithms, log(aᵇ) = b × log(a):

log(1 x 10¹⁰⁰) = 0 + 100 × log(10)

The logarithm of 10 (log(10)) is equal to 1, so:

log(1 x 10¹⁰⁰) = 0 + 100 × 1

Finally:

log(1 x 10¹⁰⁰) = 100

Therefore, the value of the number 1 x 10¹⁰⁰ using logarithms is 100.

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The given question is incomplete, I answer the question in general according to my knowledge:

What is the value of the number using logarithm  1 x 10^100?

The probability that a randomly selected person is not a student or slept less than an average of 6 hours a night can be calculated as 2/10 or 20%, based on the given data.

To calculate the probability that a randomly selected person is not a student or slept less than an average of 6 hours a night, we need to consider the given data:

- Average number of hours slept per night:

 - Students who slept less than or equal to 6 hours: 0

 - Non-students who slept less than or equal to 6 hours: 2

- Average number of hours slept per night:

 - Students who slept greater than 6 hours: 5

 - Non-students who slept greater than 6 hours: 3

To find the probability, we need to determine the number of individuals who meet the given criteria and divide it by the total number of individuals.

A number of individuals who are not students and slept less than or equal to 6 hours: 2 (non-students: 2).

Total number of individuals who are either students or non-students: 5 (students: 5) + 5 (non-students: 5) = 10.

Therefore, the probability can be calculated as 2/10 or 1/5, which is equal to 0.2 or 20%. This means that there is a 20% chance that a randomly selected person is not a student or slept less than an average of 6 hours a night based on the given data.

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What is the probability that a randomly selected person is not a student or slept less than an average of 6 hours a night?

Answer:

147 purple jelly beans

Step-by-step explanation:

15% of 980 is 147

Each serving of cereal in a 1.19-kilogram container contains approximately 39.67 grams.

The question here asks for an approximation of the number of grams in each serving of a 1.19-kilogram container of cereal that contains 30 servings.

In order to find the weight of each serving, one must divide the total weight of the container by the total number of servings.

The total number of grams in the container of cereal can be found by converting the weight from kilograms to grams:1.19 kilograms = 1190 grams

To find the weight of each serving, one must divide the total number of grams in the container by the number of servings:

1190 grams ÷ 30 servings = 39.67 grams (approximately)

Therefore, each serving of cereal in a 1.19-kilogram container contains approximately 39.67 grams.

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Answer:

9\(\sqrt{-5\)

Step-by-step explanation:

√-180

a. The degree of the polynomial is 6.

b. Factoring the equation, we have:

x6 - 49x^4 = x^4(x^2 - 49) = x^4(x - 7)(x + 7)

a.The degree of the polynomial equation x^6 - 49x^4 = 0 is 6. This is determined by the highest exponent of x in the polynomial, which is 6.

b. The two roots of multiplicity 1 can be found by factoring the equation as x^4(x^2 - 49) = 0. Setting each factor equal to zero, we have x^4 = 0 and x^2 - 49 = 0.

From x^4 = 0, we find the root x = 0 with multiplicity 4.

From x^2 - 49 = 0, we get (x - 7)(x + 7) = 0. Therefore, the roots x = 7 and x = -7 each have multiplicity 1.

In summary, the equation x^6 - 49x^4 = 0 has a degree of 6, and the roots with multiplicity 1 are x = 0, x = 7, and x = -7.

So the roots of the equation are:

x = 0 (multiplicity 4)

x = 7 (multiplicity 1)

x = -7 (multiplicity 1)

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The value of a is 10 by solving the quadratic equation by completing the square method.

In this question,

Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.

The quadratic equation is

10x^2 + 40x - 13 = 0

Solving the quadratic equation by completing the square as

Step 1:

10x^2 + 40x = 13

Step 2:

10(x^2 + 4x) = 13

Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.

Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.

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Well the numbers are right, but not the order.

First the x-intercept is (-7,0) not (0,-7) ---- It's (x,y) though ---------

Second the y-intercept is (0,2) not (2,0)

You got them swapped but the numbers are correct anyway.

Answer:

x = 4

Step-by-step explanation:

Look what the attachment

x=4

Step-by-step explanation:

2x-2+5=x+7

2x+3=x+7

2x-x=7-3

x=4

Yes, corresponding angles can be supplementary.

In geometry, two angles are considered supplementary if they add up to 180 degrees. In other words, if two angles have a sum of 180 degrees, they are called supplementary angles.

When two parallel lines are cut by a transversal, corresponding angles are angles that lie in the same relative position and are on the same side of the transversal line. These angles are found at the same relative distance from the two lines, meaning they are congruent.

So, if two parallel lines are cut by a transversal, and the corresponding angles are congruent, then it is possible for them to be supplementary as well. This is because if two angles are congruent, then they must have the same measure.

And if they have the same measure, then their sum will always equal to double the measure of either angle, which would make them supplementary.

In conclusion, corresponding angles can be supplementary if they are congruent.

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Answer:

21.6 hours

Step-by-step explanation:

Hypothesis testing allows to identify a event test. The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

The principal tests the hypothesis with a mean of 21.6 hours for the determination of average amount of time spent watching television.

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

Answer:

answer: 69

Step-by-step explanation:

Hopefully this picture helps/explains it well its just hard to put in words but if you want me to try explaining in words I can

Answer:You would just have to add 4 to all of the x values and add 5 to all the y values

Step-by-step explanation:

Answer:

The slope of the line is -5

The volume of Darby is given as 76 in'^2

Volume = (4/3)πr³

First, we need to find the radius (r) of the sphere. Since the diameter is given as 21/4, we can find the radius by dividing the diameter by 2:

radius (r) = (21/4) / 2 = 21/8

Now, we can calculate the volume using the formula:

Volume = (4/3)π(21/8)³

Volume = (4/3)π(9261/512) (since (21/8)³ = 9261/512)

Now, we can find the numerical value of the volume:

Volume ≈ (4/3) * 3.14159 * (9261/512)

Volume ≈ 4.18879 * 18.10352

Volume ≈ 75.89438

Rounding the volume to the nearest whole number:

Volume ≈ 76

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Answer:

20% & 12.5%

Step-by-step explanation:

1. 1/5 = 0.2 or 20%

2. 1/8 = 0.125 or 12.5%

3. Noah is more likely to select 'E' because he has a higher percentage or probability of selecting it. 0.2 is greater than 0.125

Please mark brainliest

Please mark brainliest

The population mean is approximately 18.

To find the population mean, we need to calculate the average of all the data values in the population.

Given the data values 12, 8, 28, 22, 12, 30, and 14, we can add them together and divide by the total number of values (which is 7) to find the population mean.

Sum of data values = 12 + 8 + 28 + 22 + 12 + 30 + 14 = 126

Population mean = Sum of data values / Total number of values = 126 / 7≈ 18

Therefore, the population mean is approximately 18.

It's worth noting that this calculation assumes that the given data represents the entire population. If the data is a sample from a larger population, the mean calculated from the sample would be an estimate of the population mean rather than the true population mean.

In that case, statistical techniques can be used to estimate the population mean based on the sample mean and other relevant information, such as confidence intervals or hypothesis tests.

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Answer:

Step-by-step explanation:

x + 5(-x - 2)= 2

x - 5x - 10 = 2

-6x - 10 = 2

-6x = 12

x = -2

y = 2 - 2 = 0

(-2, 0)

answer is no

Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.

This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.

In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.

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The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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