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swat32
2 years ago
13

The histogram shows the speeds of downhill skiers during a competition. Estimate the mean of the data set displayed in the histo

gram. If necessary, round your answer to the nearest tenth.

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
8 0

Answer:

≈50.6

Step-by-step explanation:

Not sure what precision level this problem is looking for, but for right-skewed distributions, we know that the mean is going to be pulled right and therefore the mean should be larger than the median. To a high confidence level, the mean should fall between 50 and 59, or in the third column.

If a single estimation is wanted, assume the values inside each column are uniformly distributed:

\displaystyle\\\widehat{\mu}=\frac{34.5\cdot 4+...+74.5\cdot 2}{4+9+4+4+2}\approx \boxed{50.6}

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Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of
Dvinal [7]
We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

 using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

 the answer is

AD=11.33 in

<span>AB=5.67 in</span>

 

4 0
3 years ago
What is the equation of a line that has a slope of-2/3 and a y intercept of 1.25
Fynjy0 [20]

Answer:

The equation of this line would be y = -2/3x + 1.25

Step-by-step explanation:

In order to find this, first start with the base form for slope-intercept form.

y = mx + b

Now input the slope for m and the intercept for b.

y = -2/3x + 1.25

4 0
2 years ago
7/10 + 1/2 Find sum in simplest form
igomit [66]

7/10 + 1/2

Find common denominator will be 10


7/10+ 1×5/2×5


7/10+5/10


Add numerators keeping same denominator


7+5/10


Simplify


12/10


Reduce fraction


6/5

4 0
3 years ago
Read 2 more answers
From base camp, a hiker walks 3.5 miles west and 1.5 miles north. Another hiker walks 2 miles east and 0.5 miles south. To the n
levacccp [35]

Answer:

The hikers are 5.9 miles apart.

Step-by-step explanation:

Let O represents the base camp,

Suppose after walking 3.5 miles west, first hiker's position is A, then after going 1.5 miles north from A his final position is B,

Similarly, after walking 2 miles east, second hiker's position is C then going towards 0.5 miles south his final position is D.

By making the diagram of this situation,

Let D' is the point in the line AB,

Such that, AD' = CD

In triangle BD'D,

BD' = AB + AD' = 1.5 + 0.5 = 2 miles,

DD' = AC = AO + OC = 3.5 + 2 = 5.5 miles,

By Pythagoras theorem,

BD^2 = BD'^2 + DD'^2

BD = \sqrt{2^2 + 5.5^2}=\sqrt{4+30.25}=\sqrt{34.25}\approx 5.9

Hence, the hikers are 5.9 miles apart.

8 0
2 years ago
Which box-and-whisker plot displays the data?
lisabon 2012 [21]

Answer:

d

Step-by-step explanation:

5 0
3 years ago
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