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sineoko [7]
3 years ago
9

A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time t

ells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 10 days. He finds that Route A takes an average of 48
?minutes, with standard deviation 44 minutes?,
and Route B takes an average of 49 minutes, with standard deviation 1 minute.
Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. Use alpha?equals=0.05
Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

0.3 to 2.3 min

Step-by-step explanation:

n1=n2=10

x1=48

x2=49

s1=4

s2=1

Determine the deegres of freedom.

\delta=\frac{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n1})^2}{n_1-1}+\frac{(\frac{s_1^2}{n1})^2}{n_2-1}}=10.14

t=2.037 (student's appendix)

E=t\sgrt(\frac{s_1^2}{n_1}+\frac{s^2_2}{n_2})=1.3

(x_1-x_2)-E=(48-49)-1.3=-2.3

(x_1-x_2)+E=(48-49)+1.3=0.3

We are 95% confident that average commuting time for  rute A is between 0.3 and 2.3 min shorter than for rute B.

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Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215
GenaCL600 [577]

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

A= \frac{1}{2} (b1+b2)\times h

Plugging values in formula.

215 = \frac{1}{2}(21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

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4 0
3 years ago
What fraction of a year are 31 days ?
Alborosie

9514 1404 393

Answer:

  • non-leap years: 31/365
  • leap years: 31/366

Step-by-step explanation:

As a fraction of the number of days in a calendar year, it will depend on whether the year is a leap year.

non-leap years have 365 days, so 31 days is 31/365 years.

leap years have 366 days, so 31 days is 31/366 years.

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If you're asking for the purpose of computing interest, you need to be aware that "ordinary interest" counts 360 days in a year. 31 days would be 31/360 years. "Exact interest" counts 365 days in a year, so 31 days would be 31/365 years.

In astronomy, the definitions of "day" and "year" may vary, depending on the frame of reference and what direction in space marks the boundary of the period. The precise fraction will depend on how you define these terms and where the clock is located.

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2 years ago
the perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y axis is 5 units write
quester [9]

Step-by-step explanation:

let p be the point which is at a distance of 4 units from the x-axis and at a distance of 5 units from the y axis

(i) When P lies in the first quadrant then the coordinates of P are (5,4).

(ii) When of P lies in the second quadrant then the coordinates of P are (-5,4).

(iii) When P lies in the third quadrant then the coordinates of P are (-5,-4).

(iv) When P lies in the fourth quadrant then the coordinates of P are (5,-4).

<h3>Hope it helps you!!</h3>

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<em>Which digit in 123.456 has highest value?</em>

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