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antoniya [11.8K]
3 years ago
14

A commercial airplane travels 5,000 feet east and then ascends 3,000 feet from its starting point in the sky. Upon noticing a se

vere storm system on the horizon, the pilot decides to return to the starting point. A) how much distance does the plane have to travel to turn back? B) at what angle would the plane need to travel to return to its starting point. (1,000 feet = 1 unit)
Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

A) 5830.95 B)59.04

Step-by-step explanation:

Solve for the hypotenuse of 5,000 and 3,000

Use tangent to find the angle

tanx = 5,000/3,000

x=59.04

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What is 3/5 of 7 need help asap as i am not very good at maths thanks :-)
MAVERICK [17]
3/5 of 7

= (3/5) * 7

= 3 * 7/5

= 21/5

= 4.2


I hope this helps. =)
8 0
3 years ago
Read 2 more answers
In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.
Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = \frac{1}{100}

The probability that the item is not defective = \frac{99}{100}

The probability that the fifth item is defective = \frac{1}{100}* \frac{98}{99}

                                                                            = 0.009899

Probability that one in 5 items is defective  = 0.005624

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4 years ago
During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally
jeka57 [31]
C

If you have a graphing calculator, go to 2nd vars, normalcdf(.

Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.

Your answer will be .266
7 0
3 years ago
A shelf contains 5 nonfiction and 6 comic books. Randomly, you choose one for yourself, set it aside, and choose one for your fr
makvit [3.9K]

Answer:

As the first event outcome affects the probability of the outcomes of the second event, both events are dependant.  

Step-by-step explanation:

The events are not independent.

The reason is that the first event affects the outcome of the second event.

This happen because the if we choose a comic book for ourselves, there is a probability of 6-1=5 out of 5+5=10 of getting a comic book for our friend (P=50%).

If we choose a nonfiction book four ourselves, the probability of getting a comic book for our friend is 6 in 10 (P=60%).

As the first event outcome affects the probability of the outcomes of the second event, both events are dependant.  

8 0
3 years ago
Use the properties of logarithms<br> Rewrite the following in the form log(c).<br> 5log(2)
Alecsey [184]

Answer: 5\log(2)=\log(2^5)

Step-by-step explanation:

According to the properties of logarithms, we have

To rewrite : 5\log (2) in the form of log(c).

Therefore,

\leq 5\log(2)=\log(2^5)   [\because\ n\log(m)=\log(m^n)]

Hence, 5\log(2)=\log(2^5) .

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3 years ago
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