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goldenfox [79]
3 years ago
5

(b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations?

Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

>0.95

Step-by-step explanation:

This probably refers to a normal distribution. In a normal distribution, according to the empirical rule,

68% of observed data falls within 1 standard deviation of the mean

95% falls within 2 standard deviations of the mean

99.7% falls within 3 standard deviations of the mean

In this case, the observed data is distance and the average figure for all observed distances is the mean distance.

So, the probability that a/any distance observed exceeds the mean distance by more than 2 standard deviations is >95%

In other words, the probability is >0.95

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Create and solve a 2 step equation with addition and division.
Inessa05 [86]

Answer:

(2+4)÷12

Step-by-step explanation:

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6 0
3 years ago
The question says “The image shows the front of Bob’s barn.Bob plans on painting the front of his barn,not including the doors o
AleksandrR [38]

Bob need to paint 205 square feet.

Solution:

Length of the door = 7 ft

Breadth of the door = 5 ft

Area of the door = length × breadth

                            = 7 × 5

                            = 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = \frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}

                                    $=\frac{1}{2}\times(12+20)}\times15

                                    $=\frac{1}{2}\times 32\times15

                                    = 240

Area of the trapezoid =  240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

                                    = 240 ft² – 35 ft²

                                    = 205 ft²

Hence Bob need to paint 205 square feet.

6 0
3 years ago
Jane sells hatch for sale she marked down 20% of her original price is 59.95 for half what is her sale price?
Illusion [34]
I believe the answer would be 11.99, because 20% times 59.95 is 11.99
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3 years ago
What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x
tatyana61 [14]

Answer:

<h2>y = 2x - 11</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================

\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11

5 0
3 years ago
What is 4000,000 rounded to the nearest ten point housads
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You have the comma in the wrong place.

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Round[4,000,000, 10]

Answer: 4 million

7 0
3 years ago
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