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Andreyy89
3 years ago
5

Mr. Wilcox would really like his laptimes to be consistently between 1.75 and 1.85 minutes.

Mathematics
1 answer:
zloy xaker [14]3 years ago
3 0

Answer:

Use normalcdf ( 1.75, 1.85, 1.84, 0.07 )

Doc and Marty should have laptimes between 1.75 and 1.85 approximately 45.75% of the time.

Step-by-step explanation:

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-9 ÷ ____ =5<br><br><br>(fill the blank)​
Alona [7]

Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

3 0
2 years ago
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An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then
Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\angle Q=110^\circ

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)

(b)Flight Direction of Y

Using Law of Sines

\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)

The direction of flight Y to the nearest degree is 39 degrees.

7 0
3 years ago
1. How are pounds per gallon and kilograms per liter alike? How are they different?
Goryan [66]

Answer:

1)= 1 kilogram per liter (kg/l) + 8.35 pound per gallon (lb/gal)

2)= 4.4704 meters per seconds

3)= 12in= 1ft ratio is 12:1

4)= 1ft=12in ratio is 1:12

5)= 3ft= 1 yard ratio is 3:1

6)=1 yard = 3ft ratio 1:3

Step-by-step explanation:

12 in = 1 foot

1 yard = 3 feet

1 yard = 36 in

I hope this helps

7 0
3 years ago
Find f^3(x) for f(x)=4/x^2
vaieri [72.5K]

Answer:

  f³(x) = 64/x⁶

Step-by-step explanation:

  f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³

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_____

The applicable rules of exponents are ...

  (a/b)^c = (a^c)/(b^c)

  (a^b)^c = a^(bc)

7 0
3 years ago
E^x = 25 <br><br> ...................
anzhelika [568]
X is equal to about 3.218876
5 0
2 years ago
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