A study looked at n=256 adolescents, where subjects wore a wrist actigraph, which allowed the researchers to estimate sleep patterns. Those subjects classified as having low sleep efficiency had an average systolic blood pressure that was 5.6 millimeters of mercury (mm Hg) higher than that of other adolescents. The standard deviation of this difference is 1.8 mm Hg. Based on the results, test whether this difference is significant at the 0.01 level. 2. An SRS of 100 incoming freshman was taken to look at their college anxiety level. The mean score of the sample was 87.3 (on a 0 to 100 scale with a higher score indicating mores stress). Assuming population o = 8.1, construct a 95% confidence interval for the population mean. What sample size is required to get a margin of error less than or equal to .15?

Answer:

i believe it’s 10.5

Step-by-step explanation:

With exactly 75% probability of members in a club fill up 5/6 chairs, the smallest possible number of members in the club is 20 people.

we need to find out the smallest possible number of people in the room

It is given to us that 75% of the club members fill 5/6 of the chairs

we need to find the smallest number of people in the club

therefore, let x be the number of seats in the club.

If 75% fill 5/6 of the club, then 25% fill 1/6 of the club.

Therefore 25/100=1/6(x) = 1/4=1/6(x) = 2/3=x

Let people be y

So, if 75/100y=5/6(x)

(3/4) y= (5/6) (2/3)

(3/4) y=5/9

y= (5/9) (4/3)

y=20/27

Therefore, the smallest possible number in the room is 20 people.

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On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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Answer:

9√2

Step-by-step explanation:

To do this, we need to use the Pythagoras' Theorem. Which is a^2+b^2=c^2

In this case, we need to solve for C. So, we do 9^2 (A) +9^2 (B), assuming a and b are the same. So we end up with 81+81=c^2. Now, we find the square root of 162. Around 13 or 9√2

Answer:

128 cubic inches

Step-by-step explanation:

4×4×8= 128

The runner should choose the second cooler, because the probability of selecting a sports drink and a water from the first cooler is about 24.98% and the second cooler is about 25.86%.

To calculate the probability of selecting a sports drink and a water bottle from each cooler, we need to use the following formula:

Probability of selecting a sports drink and a water bottle = (number of sports drinks / total number of bottles) x (number of water bottles / (total number of bottles - 1))

For the first cooler, the probability of selecting a sports drink and a water bottle is:

(19/39) x (20/38) = 0.2498, or about 24.98%

For the second cooler, the probability of selecting a sports drink and a water bottle is:

(14/29) x (15/28) = 0.2586, or about 25.86%

Therefore, the runner should choose the second cooler, because it has a slightly higher probability of selecting a sports drink and a water bottle.

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Answer:

hello there i think the answer is c

Step-by-step explanation:

The 98% confidence interval of 93 course evaluation the estimation of the population standard deviation is (0.454, 0.681). For 93 professor evaluations, it is (0.318, 0.457). The course evaluations have a wider interval, indicating more variability compared to professor evaluations.

The construction of 98% confidence interval from which the 93 course evaluations were obtained, by using the formula

Confidence interval = (√((n-1)*s²)/√(chi-square upper)-√((n-1)*s²)/√(chi-square lower)),

where n is the sample size, s is the sample standard deviation, and chi-square upper and chi-square lower are the values from the chi-square distribution table with degrees of freedom (df) equal to n-1 and a cumulative probability of 0.99/2 = 0.495.

Using the given data, we have n = 93 and s = 0.56. From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.56²)/√(67.339)-√((93-1)*0.56²)/√(49.645))

Confidence interval = (0.454, 0.681)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 course evaluations were obtained falls within the interval (0.454, 0.681).

To construct a 98% confidence interval estimate of the standard deviation of the population from which the 93 professor evaluations were obtained, we can use the same formula as in above part, but with n = 93 and s = 0.41 (the sample standard deviation for professor evaluations).

From the chi-square distribution table with df = 92 and cumulative probability of 0.495, we obtain chi-square upper and chi-square lower as 67.339 and 49.645, respectively.

putting the values in the formula, we get

Confidence interval = (√((93-1)*0.41²)/√(67.339)-√((93-1)*0.41²)/√(49.645))

Confidence interval = (0.318, 0.457)

Therefore, we are 98% confident that the standard deviation of the population from which the 93 professor evaluations were obtained falls within the interval (0.318, 0.457).

Comparing the results from other parts, we can see that the confidence interval for the standard deviation of the population from which the course evaluations were obtained is wider than that for the population from which the professor evaluations were obtained. This suggests that there is more variability in the course evaluations than in the professor evaluations.

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Hey there!

Guide

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are on the LEFT side of 0

Positives are on the RIGHT side of 0

Negatives are BELOW 0

Positives are ABOVE 0

ANSWERING YOUR QUESTIONS

Question #1

-3 - (-5)

= -3 + 5

= 2

Therefore, your answer is: 2

Question #2

-4 + 6

= 2

Therefore, your answer is: 2

Question #3
-5 + (-6)

= -5 - 6

= -11

Therefore, your answer is: -11

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Random note: You can use a number line to tackle problems like this. :)

Answer:

increasing

Step-by-step explanation:

since its positive its an increasing slope

hope this helps <3

Answer:

c. -7y

hope it is helpful

Answer:

B: 4.5 * 10^8

Step-by-step explanation:

I did the test and got it right

The required value of x can be obtained as per the similarity of triangles as 18.84 units.

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For two similar triangles the ratio of corresponding sides are always equal.

The given diagram shows two similar triangles.

As the ratio of corresponding sides are equal,

The following equation can be written as,

⇒ 26/35 = 14/x

⇒ 26x = 14 × 35

⇒ x = 18.84

Hence, the value of x can be obtained as 18.84 units.

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Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

6/10 or 60/100

Step-by-step explanation:

4/100=0.04 So if you add that to 7 you would have 7.04 and 7.64-7.04 is 0.6 which is 6/10 or 60/100 in fraction form.

Answer: 11.5

Step-by-step explanation:

\(\sin 35^{\circ}=\frac{x}{20}\\\\x=20 \sin 35^{\circ}\\\\x=11.5\)

In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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the acid range  is (PH <7)

neutrality   is (PH =7)

the basic range   is (PH>7)

A. The acid range

The corrosive run on the pH scale is ordinarily considered to be any esteem

less than 7.0.

This incorporates values from 6.9, with is foremost acidic.

B. Neutrality

A lack of bias on the pH scale is characterized by a

value of 7.0

. This is often considered the point at which an arrangement is not one or the other acidic nor essential.

C. The basic range

The fundamental extent on the pH scale is ordinarily considered to be any esteem

more prominent than 7.0.

This incorporates values from 7.1 to 14, with 14 being the foremost essential 

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9514 1404 393

Answer:

Step-by-step explanation:

1. A point on a graph is a maximum if there are no points on the graph that are higher.

A point on a graph is a minimum if there are no points on the graph that are lower.

Sometimes you're interested in a "local" maximum or minimum. In that case, the "no points higher/lower" rule refers to points in the immediate vicinity of the one of interest.

Sometimes you're interested in a maximum or minimum on an interval. In that case, the rule applies to points contained within the interval. (The maximum or minimum may be at the end of the interval.)

__

2. Average rate of change is defined over some interval. That is, you are given the end points of the interval of interest. The average rate of change is the slope of a straight line between those end points. The slope formula applies:

  \(m=\dfrac{y_2-y_1}{x_2-x_1} \quad\text{where the end points of the interval are $(x_1,y_1)$ and $(x_2,y_2)$}\)

Answer:

Step-by-step explanation:

It’s c

Answer:

Step-by-step explanation:

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)

b. r(t) = (cos(t), sin(t)), for 0 <= t <= pi. c. Sphere of radius 1 centered at the origin: r(u, v) = (cos(u) * sin(v), sin(u) * sin(v), cos(v)), for 0 <= u <= 2pi and 0 <= v <= pi.

b) Here are the parameterizations for a line segment connecting two points of your choice and half of a circle centered at the origin:

Line segment from (0, 0) to (1, 2): r(t) = (1 - t) * (0, 0) + t * (1, 2) = (t, 2t), for 0 <= t <= 1.

Half of a circle of radius 1 centered at the origin: r(t) = (cos(t), sin(t)), for 0 <= t <= pi.

c) Here are the parameterizations for a plane and a sphere:

Plane passing through (1, 0, 0), (0, 1, 0), and (0, 0, 1): r(u, v) = u * (1, 0, 0) + v * (0, 1, 0) + (1 - u - v) * (0, 0, 1), for 0 <= u <= 1 and 0 <= v <= 1.

Sphere of radius 1 centered at the origin: r(u, v) = (cos(u) * sin(v), sin(u) * sin(v), cos(v)), for 0 <= u <= 2pi and 0 <= v <= pi.

Note that for the plane parameterization, we used the fact that a plane passing through three non-collinear points can be parameterized by a linear combination of the points, with the coefficients summing to 1. For the sphere parameterization, we used spherical coordinates to express the position of each point on the sphere in terms of two angles, u and v.

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Answer: 48

Step-by-step explanation:

Shrink is determined by multiplying the offset multiplier by the offset rise. Therefore, the correct option is c. offset multiplier.

In electrical conduit bending, a conduit is bent using an offset, which is a combination of two bends in opposite directions.

The offset rise is the vertical distance between the two bends, and the offset multiplier is a factor that determines the amount of shrink, or the horizontal distance between the two bends.

The shrink is determined by multiplying the offset multiplier by the offset rise. This is because the amount of shrink depends on how steep the angle of the offset is and how far apart the bends are.

The offset multiplier is a constant that depends on the diameter of the conduit being bent and the angle of the offset. So, the correct answer is C).

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Answer:

4.05

Step-by-step explanation:

1.25+2+0.8

3.25+0.8

4.05

Answer:

4.05

Step-by-step explanation:

did the math

\(\sf \longmapsto4x-15=3\)

\(\sf \longmapsto4x = 3 + 15\)

\(\sf \longmapsto4x = 18\)

\(\sf \longmapsto{x }= \frac{18}{4}\)

\(\sf \longmapsto x = 4.5\)

Answer:

\(x=\cfrac{9}{2}\;\; or \;\;4.5\)

Step-by-step explanation:

\(4x-15=3\)

\(4x-15+15=3+15\) Add 15

\(4x=18\)

\(\cfrac{4x}{4}=\cfrac{18}{4}\) Divide by 4

\(x=\cfrac{9}{2}\)

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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The slope of the plane's altitude gain is 1/7.

The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.

In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:

slope = 2000 / 14000

slope = 1/7

This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.

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Answer:

1.22752808989

Answer:

1.2275

Step-by-step explanation:

(237 - 674)/(283-639)

-437/-356

the two negatives make a positive

437/356

1.2275