Jeremy loves snowboarding. His favorite stunt is catching big air and jumping off the ramp while holding on to the snowboard. Jeremy did this 20 times and recorded the heights (in meters) he achieved in each attempt. He wants to know whether his data set has negative, positive, or zero skew. {18, 23, 15, 16, 15, 17, 22, 16, 19, 11, 24, 14, 12, 16, 20, 18, 14, 13, 21, 11}
Jeremy's data set shows ____ skew.

Answers

Answer 1
Answer: To be able to determine the type of skew exhibited by the distribution of the heights he achieved in each of his attempt we arrange the distribution in order and obtain the frequency of each data in the distribution. Height (meters): 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 Frequency: 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1 Calculating the mean gives (11 x 2 + 12 + 13 + 14 x 2 + 15 x 2 + 16 x 3 + 17 + 18 x 2 + 19 + 20 + 21 + 22 + 23 + 24) / 20 = 335 / 20 = 16.75 Since there are more higher frequencies to the left of the mean we conclude that the distribution exhibits a positive skew.

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A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree. Approximately how high up the tree does the top of the pole reach?


A.17.0 feet

B.12.7 feet

C.7.0 feet

D.1.9 feet

Answers

The answer would be B)12.7 feet

What is 8.2p-33.4=1.7-3.5p

Answers

8.2p-33.4=1.7-3.5p 

8.2p=1.7-3.5p+33.4         Add \ 33.4 \ to \ both \ sides

8.2p=-3.5p+35.1 

8.2p+3.5p=35.1                   Add \ 3.5p \ to \ both \ sides

11.7p=35.1 

(11.7p)/(11.7) = (35.1)/(11.7p)             Divide \ both \ sides \ by \ 11.7

p=3       Solution
p=3
First you add 33.4 to both sides. Then add 3.5p to both sides. Then divide 35.1 by 11.7 and you get 3. 

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y
b. P(A|B) = y
c. P(B|A) = x
d. P(A and B) = x + y

e. P(A and B) = x/y

P(A)

Answers

The right answer for the question that is being asked and shown above is that: "d. P(A and B) = x + y." The probability of event A is x, and the probability of event B is y. If the two events are independent, the condition must be true is this d. P(A and B) = x + y

If two events are independent, then

Pr(A\cap B)=Pr(A)\cdot Pr(B).

Use formulas for conditional probabilities:

.

For independent events these formulas will be:

.

Now in your case Pr(A)=x,\ Pr(B)=y and Pr(A|B)=x,\ Pr(B|A)=y, Pr(A\cap B)=x\cdot y.

This shows that the only correct choice is A.

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Answers

If you recall y=mx+b, the slope-intercept form of a linear equation, the slope, m, is the rate of change of the equation, and the y-intercept is b. 


When switching to function notation, we simply swap y for f(x), and if we start at x=0 and graph in the positive x direction, we've started at whatever initial value exists (the y-intercept value).


Simply: F(x) = 2/3 x +4

A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?

Answers

The situation is describe on picture. 
We can use relations in two 45-degree angles triangle.
In this example a=100 feet and the distance which bird have to fly to catch the bird is a* \sqrt{2} [/tex] so substituting our data we have:  100* \sqrt{2} [/tex]
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What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?

Answers

Given:
11.7 cm by 15.4 cm

To get the area of a plot, we multiply its length and its width. 

Since two measurements are given, it is safe to assume that the higher measurement represents the length of the plot and the lower measurement is its width.

Length = 15.4 cm
Width = 11.7 cm

Area = Length * Width
Area = 15.4 cm * 11.7 cm
Area = 180.18 cm²