Using the data from the stem-and-leaf as given below, construct a cumulative percentage distribution with the first class uses "9.0 but less than 10.0" 911, 4,7 1010, 2, 2, 3, 8 11/1, 3, 5, 5, 6, 6,7,

If Ariana removes the $4,800 rent from the set, the mean and median of the remaining rents will decrease because $4,800 is a very high value compared to the other rents.

Before removing the $4,800 rent, the mean can be calculated by adding up all the rents and dividing by the total number of rents (5):

Mean = (1,000 + 1,200 + 1,300 + 1,400 + 4,800) / 5 = 2,540

The median is the middle value in the set, which is 1,300.

After removing the $4,800 rent, the new mean can be calculated by adding up the remaining rents and dividing by the new total number of rents (4):

New Mean = (1,000 + 1,200 + 1,300 + 1,400) / 4 = 1,225

The new median is still 1,300 because it is the middle value in the remaining set.

Therefore, removing the $4,800 rent will decrease both the mean and median of the remaining rents.

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Answer:

(3m+5)(m^2+4)

Step-by-step explanation:

add and subtract the second term to the expression and factor by grouping

The statement which holds true between -4 and -3 is; -4 < –3 The inequality changes from greater than to less than because -4 is less than -3.

The given inequality according to the task content is;

On this note, when a negative sign is attached to each side of the inequality; it follows that;

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Answer:

A and B are the answers

Step-by-step explanation:

If 4 > 3 then - 4 < -3 is true because when additive opposites of numbers are used inequality gets reversed.

Answer:

No

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

0.6. This is the probability that the student takes either chemistry or Spanish or both. Option C. is the answer

Probability is a measure of the likelihood of a particular event or outcome occurring.

Given the: Venn diagram where P(A) = 0.2 and P(B) = 0.3 and P(A∩B) = 0.1

Since A = student takes chemistry and B = student takes Spanish

P(A∪B) defines the set of students that take either A or B or both

Thus, P(A∪B) will the addition of P(A), P(B) and P(A∩B). That is:

P(A∪B) = P(A) + P(B) + P(A∩B)

P(A∪B) = 0.2 + 0.3 + 0.1 = 0.6

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The correct answer is (a). The conclusion that the frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies is a common correlation error.

The correct answer is (a) Conclusion: The frequency of mothers' smoking is not related in any way to the incidence of influenza in their babies. This conclusion makes a common correlation error by assuming that there is no relationship between smoking during pregnancy and the incidence of influenza in babies, just because there is a very low linear correlation coefficient.

It is important to note that correlation does not imply causation, and a low correlation coefficient does not necessarily mean that there is no relationship between the two variables. Therefore, this conclusion is invalid and incorrect.

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The probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times is 0.37

Given:

P = 0.65

1-P = 1-0.65 = 0.35

n = 25

x = 15

The number of favorable outcomes to all possible outcomes of an event is the ratio, which is known as probability. The number of good outcomes can be represented by the symbol x for an experiment with 'n' number of outcomes. The following equation can be used to determine an event's probability.

Favorable Results/Total Results = x/n, where Probability(Event)

using binomial distribution:

P(X = x )  = ⁿCₓ (P)ˣ (1-P)ⁿ⁻ˣ

∴ Heads obtained 15 or fewer times

P(X ≤ 15)

we use exceed formula:

P(X≤15) = BINOM DIST(15,25,0.65,FALSE)

= 0.3696920

≈ 0.37

Hence we get the required answer.

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Answer: 360  your multiplying 40x9=360.

Step-by-step explanation:

Answer:

x=4.4t

Step-by-step explanation:

you have to divide to find a constant rate

so  40/99 equals 4.4

natalie can paint 4.4 square feet every minute

x being constant and 4.4 equals that times time and thats the equation

The distance between the third traffic light from the second traffic light is 35 yards.

Three traffic lights on a street span 120 yards.

If the second traffic light is 85 yards away from the first.

Therefore, the third traffic light is 120 - 85 =35 yards away from the second traffic light.

This means that the third traffic light is directly adjacent to the first traffic light. The third traffic light from the second traffic light is at the same location as the first traffic light.

Thus, the distance between the third traffic light from the second traffic light is 35 yards.

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Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

Y = 3/4x + 0

Step-by-step explanation:

Find the slope of the line = Rise/Run.

\(\frac{-3-6}{-4-8}\)  = \(\frac{-9}{-12}\)

= 0.75 or 3/4.

Therefore, insert into point slope form using one of the corresponding points; (8, 6) for example;

Y-6 = 3/4(x-8)

= Y-6 = 3/4x-6

and simplify the equation;

Y = 3/4x + 0 also just Y = 3/4x.  

Answer:

1 \(\frac{1}{6}\) pounds of candy

Step-by-step explanation:

Add together the fractions by creating a common denominator of 6:

\(\frac{5}{6} + \frac{1}{3}\)

\(\frac{5}{6} + \frac{2}{6}\)

= \(\frac{7}{6}\)

Simplify into a mixed fraction:

= 1 \(\frac{1}{6}\)

So, the girls had 1 \(\frac{1}{6}\) pounds of candy

The probability that at least 6 of these will have a mechanical defect is 0.1612.

For the given question;

At least six of the seven chosen has to have a mechanical defect.

So we add this same cases with exactly 6 mechanical defects and the cases with exactly 7 mechanical defects.

Number of possible approaches = ⁶C₂ + ¹⁹C₇ = 6!/2!4! + 19!/7!2!

= 27132 + 50388

= 77, 520

Calculated the total number of options to pick the seven keyboards as;

²⁵C₇ = 25!/7!18!

²⁵C₇ = 480,700.

As a result, the necessary probability = 77, 520/480,700 = 0.1612.

Thus, the probability that at least 6 of these will have a mechanical defect is 0.1612.

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The complete question is-

Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects.

If a sample of 7 keyboards is randomly selected, what is the probability that at least 6 of these will have a mechanical defect? (Round the answer to four decimal places.)

Answer:

h=14

Step-by-step explanation:

The probability that not more than 5 graduates plan to pursue a graduate degree is 0.0191.

Given Information

Percentage of college graduates that plan on pursuing a graduate degree=50%

Number of graduates selected=14

Let us consider the event that a college graduate plans on pursuing a graduate degree as a success.

The probability of getting success is p = 0.50

Let X denotes the event of success.

We have, n = 14.

Then,

X∼Bin(14,0.50).

The pmf of X is given as,

\(P(X)= ^nC_xP^x(1-P)^n^-^x\\\\P(X)= ^1^4C_x(0.50)^x(0.50)^1^4^-^x\)

The probability that not more than 5 graduates plan to pursue a graduate degree can be computed as,

P(X≤5)=5∑¹⁴Cₓ(0.50)x(0.50)¹⁴⁻ˣ

=0+0.00001+0.00012+0.00081+0.00396+0.01425

P(X≤5)=0.01914

Hence, the probability that not more than 5 graduates plan to pursue a graduate degree is 0.0191.

The probability that exactly 7 of the college graduates plan to pursue a graduate degree can be computed as,

P(X=7)=¹⁴C₇(0.5)⁷(0.5)⁹

P(X=7)=0.08395

Therefore, the probability that exactly 7 of the college graduates plan to pursue a graduate degree is 0.0840.

The probability that at least 9 but not more than 14 of the college graduates plan to pursue a graduate degree can be computed as,

P(9≤X≤14)=14∑x=9 ¹⁴Cₓ(0.50)x(0.50)¹⁴⁻ˣ

P(9≤X≤14)=0.18889+0.19833+0.16227+0.10142+0.04681+0.01505

P(9≤X≤14)=0.71277

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If the number of samples is doubled, the new confidence interval would be 9.61, 10.39 or narrower (smaller) while keeping the same confidence level.

. When calculating the confidence interval, the standard error is used, along with the sample mean and the critical value from the distribution. If we have a larger sample size, we can be more confident in our estimate of the population parameter because the sample mean will more closely resemble the population mean. As a result, the confidence interval can be narrower, indicating a higher degree of precision. For Example:Suppose a sample of 50 was taken, and the mean weight of an object was 10 grams with a standard deviation of 2 grams.

At a 95 percent confidence level, the confidence interval for the mean weight would be 10 ± (1.96)(2/√50) = (9.15, 10.85)Now suppose that the sample size is doubled to 100. The standard error will be cut in half, i.e., 2/√100 = 0.2. As a result, the new confidence interval would be 10 ± (1.96)(0.2) = (9.61, 10.39). Notice that the new confidence interval is narrower, indicating a higher degree of precision while keeping the same confidence level.

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Answer:

Step-by-step explanation:

8.2

Answer: 8.2

Step-by-step explanation:

sqrt(67) is more than sqrt(64) which is 8, but far from sqrt( 81) which is 9. It is less than half the disnatce between the two and therefore is less than 8.5.

Just put it in a calculator.....

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The problem in statistics is given to five students, A, B, C, D, and E, with respective chances of solving it as 1/2, 1/3, 1/4, 1/5, and 1/6. The task is to calculate the probability that the problem will be solved.

To find the probability that the problem will be solved, we need to consider the complementary probability that none of the students will solve it. Since the probabilities of individual students solving the problem are independent, we can multiply their probabilities of not solving it.

The probability that student A does not solve the problem is 1 - 1/2 = 1/2. Similarly, the probabilities for students B, C, D, and E not solving the problem are 2/3, 3/4, 4/5, and 5/6, respectively.

To find the probability that none of the students solve the problem, we multiply these probabilities:

(1/2) * (2/3) * (3/4) * (4/5) * (5/6) = 120/720 = 1/6

Therefore, the probability that the problem will be solved is equal to 1 minus the probability that none of the students solve it:

1 - 1/6 = 5/6.

Hence, the probability that the problem will be solved is 5/6 or approximately 0.8333.

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The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

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The probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is, 0.9192

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 90 inches, and a standard deviation of 14 inches.

z score is given by,

z = (x - μ)/(σ/√n) = (92.8 - 90)/(14/√49) = 2.8/2 = 1.4

The  required probability is,

p(z < 1.4) = 0.9192, by standard normal table.

Hence, the  probability that the mean annual precipitation of a sample of 49 randomly picked years will be less than 92.8 inches is,  0.9192.

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Answer:

2) DE = 25

4) LN = 27

Solve for x:

\(x=17\)

Step-by-step explanation:

2) \(41-16=25\)

4) \(x+10 = 3x-24; x=17\); \((17)+1=18; 18+9 = LN; LN=27\)

Tip:

DE + EF = DF

LM + MN = LN

Step-by-step explanation:

This is the answer.... Working shown

The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.

As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.

Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.

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The solution to f(g(h(x))) = \(x^{2} - 12x^{3/2} + 54x -108\sqrt{x} + 87\)

f(x) = \(x^{4} + 6\)

g(x) = \(x-3\)

h(x) = \(\sqrt{x}\)

Therefore to find f(g(h(x))),

fogoh(x) = f(g(h(x)))

We first substitute the value of h(x) as above,

f(g(\(\sqrt{x}\)  ))   ....... as h(x) = \(\sqrt{x}\)

Now, we substitute the value of g(x) where x is \(\sqrt{x}\)

f(\(\sqrt{x} -3\)) ....... as g(x) =  \(x-3\)

Then we substitute the value of x in f(x) with \(\sqrt{x} -3\)

\((\sqrt{x} -3)^{4} + 6\)

Now we further solve to find a simpler form of the equation,

\((\sqrt{x} -3)^{4} + 6\)

= \((x^{2} -12x^{3/2} +54x- 108\sqrt{x} +81) + 6\)

=  \(x^{2} - 12x^{3/2} + 54x -108\sqrt{x} + 87\)

Therefore, fogoh(x) = f(g(h(x))= \(x^{2} - 12x^{3/2} + 54x -108\sqrt{x} + 87\)

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Answer:

It might be negative, I'm not sure, but I feel postive about that answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant is zero because the graph of the parabola is on the x axis.