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Elanso [62]
3 years ago
8

A random sample of size n1 = 16 is selected from a normal population with a mean of 75 and standard deviation of 8. A second ran

dom sample of size n2 = 9 is taken independently from another normal population with mean 70 and standard deviation of 12. Let X1 and X2 be the two sample means. Find
(a) The probability that X1 − X2 exceeds 4.
(b) The probability that 3.5 < X1 − X2 < 5.5.

Mathematics
1 answer:
gavmur [86]3 years ago
4 0

Answer:

the answer is in the attached image below

Step-by-step explanation:

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
d1i1m1o1n [39]

Answer:

a)s=\sqrt{1+d^2}

b)d(t)=500t

c)s(t) =\sqrt{1+250000t^2}

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

s^2=1^2+d^2

a) s=\sqrt{1+d^2}

(b) Express d as a function of the time t (in hours) that the plane has flown.

distance = speed \times time

d(t)=500t

(c) Use composition to express s as a function of t.

s(t) =\sqrt{1+d^2}

using b

s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}

6 0
3 years ago
What is the volume of a cube with length 7 cm? V = lwh cm3
bonufazy [111]
343 Due to the fact that it is all the same length it will just multiply to 343 7*7*7=<span>343</span>
5 0
3 years ago
Read 2 more answers
Determine the resulting polynomial: <br> f(x)=10x−5<br> g(x)=2x2+4x−4<br> Find: f(x)⋅g(x)
Lina20 [59]
40x^2 - 20x

(10x-5)(2*2+4x-4)
(10x-5)(4-4+4x)
(10x-5)(4x)
40x^2 - 20x
4 0
3 years ago
Greenwood Lake is pictured below on a grid where each square has sides that are 1 mile long.
alisha [4.7K]
6 square units.
1 sq units would be 1 mile, so 4 units are 4 miles. A little bit more than 4 is 6.
8 0
2 years ago
8th Grade Functions: Bike Race
Arturiano [62]

Answer:

Juan wins the race

Step-by-step explanation:

<u>The graph is shown in attached image.</u>

<u />

The black line is Juan's graph.

The green line is Antonio's graph.

The graph shows the distance (y-axis) with time (x-axis).

The end of the curve(s) means the end of the race. Both curve's ending point in y-axis is 4 miles so the end of the race is 4 miles.

But in x-axis, we see the time:

Juan finishes at 13 minutes

Antonio finishes at 15 minutes

<u>Definitely Juan wins the race</u>

5 0
3 years ago
Read 2 more answers
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