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Pani-rosa [81]
3 years ago
10

Below is the five-number summary for 144 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of

time to complete the 212-mile hike from Yosemite Valley across the high Sierras to the top of Mount Whitney. Five-number summary: Minimum: 9 days Q1: 18 days Median: 21 days Q3: 28 days Maximum: 56 days If we use the 1.5 * IQR rule to determine whether there are any outliers, what is the left boundary?
Mathematics
1 answer:
bearhunter [10]3 years ago
6 0

Answer:

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

Step-by-step explanation:

For this case we have the following 5 number summary from the data of 144 values:

Minimum: 9 days

Q1: 18 days

Median: 21 days

Q3: 28 days

Maximum: 56 days

The IQR is given by:

IQR = Q_3 -Q_1 = 28-18= 10

If we want to find any possible outliers we can use the following formulas for the limits:

Lower= Q_1 - 1.5 IQR

Upper= Q_3 + 1.5 IQR

And if we find the lower limt we got:

Lower= Q_1 - 1.5 IQR= 18-1.5*10 = 3

Upper= Q_3 + 1.5 IQR= 28+1.5*10= 43

So then the left boundary for this case would be 3 days

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Place parentheses in the expression 7^2+1-5x3 value is 135
SpyIntel [72]

Answer:

Step-by-step explanation:

[{((7^2)+1)-5}*3]

=[{(49+1)-5}*3]

=[{50-5}*3]

=[45*3]

=135

3 0
3 years ago
White and black shapes are used in a game Some of the shapes are circles All the other shapes are squares The ratio of white to
PIT_PIT [208]

Answer:

The fraction of all shapes which are square in shape is \frac{23}{32}.

Step-by-step explanation:

Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.

The ratio of white to black shapes are 5:11.

Consider 5x= the number of shapes which are white in color.

11x= The number of shapes which are black in color.

There are (5x+11x)= 16x shapes in the game.

The  white circle and white square are in the ratio 3:7.

The number of white square is

=(\textrm{The number of white shape})\times (\frac{7}{3+7})

=(5x)\times (\frac{7}{10})

=\frac{7x}{2}

The black circles and black square are in the ratio 3:8

The number of black square is

=(\textrm{The number of black shape})\times (\frac{8}{3+8})

=(11x)\times (\frac{8}{11})

=8x

Therefore the total number of shape which are square is

=\frac{7x}{2}+8x

=\frac{7x+16x}{2}

=\frac{23x}{2}

The fraction of all shape are square is

=\frac{\textrm{shape in square}}{\textrm{Total number shape}}

=\frac{\frac{23x}{2}}{16x}

=\frac{23}{32}

5 0
3 years ago
What is the general form of the equation of the line shown?<br><br><br> Y-2=0<br> y+2=0<br> X-2 = 0
Tatiana [17]

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line:  y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

y = mx +b where m is the slope and b is the y-intercept.

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2  and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

or

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

6 0
2 years ago
Given an integer, how do you find its opposite?
iren2701 [21]
Given a integer depending on whether or not it is positive or negative it is always opposite of what it is. For example the opposite of 7 is -7
5 0
3 years ago
Can anyone help me out? Steps would be useful but not needed. Its Trig-Missing Sides.
Hitman42 [59]

Answer:

10.3 units

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 69°

Side length Opposite to reference angle = x

Hypotenuse length = 11

Thus, apply the trigonometric ratio, SOH:

Sin 69 = Opp/Hyp

Substitute

Sin 69 = x/11

11 × Sin 69 = x

10.2693847 = x

x = 10.3 units (nearest tenth)

5 0
3 years ago
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