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anastassius [24]
3 years ago
5

a motorboat can maintain a constant speed of 29 miles per hour relative to the water. the boat makes a trip upstream to a certai

n point in 31 minutes; the return trip takes 27 mintues. what is the speed of the current?
Mathematics
1 answer:
Paul [167]3 years ago
7 0

x ~ 2.3 mph is the current

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Find the area.........
rodikova [14]

Answer:

211 cm

Step-by-step explanation:

upper  rectangle + lower rectangle (11-8=3) + end triangles

(8x20)                  + (3x12)                              + (1/2x3x5 each  x2)

160+36+15=211

3 0
2 years ago
Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil
Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

P(X\leq x)=1-e^{\frac{-x}{\lambda}}, where \lambda is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire :  \lambda=\text{42,000 miles }

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0
3 years ago
A 34-foot tall utility pole is supported by two wires that are anchored 8 feet from the
Andrew [12]

Answer:34.93

Step-by-step explanation:

Using a^2+b^2=c^2we can substitute a and b in which is 34^2+8^2=c^21156+64=c^21220 = c^2Now we need to square both sides√1220 = √c^234.9284983931 ----> 34.9334.93 = cc = 34.93

7 0
2 years ago
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
MrMuchimi

Answer:

34 - 25 = 9

Step-by-step explanation:

7 0
3 years ago
How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w
Vsevolod [243]

<u>Shorter term class:</u>

You pay $200 for 54 classes in total. So,

\frac{200}{54} =3.704 dollars per class (rounded to 3 decimal places)


<u>Longer term class:</u>

You pay $350 for 108 classes in total, So,

\frac{350}{108} =3.241 dollars per class (rounded to 3 decimal places)


Hence, by taking longer term classes, you save around 3.704-3.241=0.463 dollars.

Rounding to 2 decimal places, you save $0.46 per class.


ANSWER: You save $0.46 per class.

5 0
3 years ago
Read 2 more answers
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