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LiRa [457]
3 years ago
5

Flying against the wind a jet travels 5040 miles in 8 hours flying with the wind the same jet travels 6780 miles in 6 hours. Wha

t is the rate of the jet in still air and what is the rate of the wind?
Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

(Wind speed: 81,000) and (Rate of the jet in still air:  11,820)

Step-by-step explanation:

We know that 5040 times 8 is 40320.

And 6780 times 6 is 40680.

Then, add them together and the rate of the wind is 81,000.

The rate of the jet, add them (6780 plus 5040) and you'' get 11,580.

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Find the sample space for a committee of two chosen from Alice (A), Bill (B), Carol (C), and David (D).
Finger [1]

Answer:

(a) C.  {(A, B), (A, C), (A, D), (B, C), (B, D), (C, D)}

(b) C. {(A,B),(A,D),(B,C),(C,D)}

Step-by-step explanation:

Given four members eligible for selection:

Alice (A), Bill (B), Carol (C), and David (D).

The possible combinations are:

(A,B),(A,C),(A,D),(B,A),(B,C),(B,D),(C,A),(C,B),(C,D), (D,A),(D,B), (D,C)

<u>Part A</u>

Since the same pairs are equal i.e. (A, B)=(B , A),

The Sample space for a committee of two is:

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

This is Option C.

<u>Part B</u>

If both genders must be represented, we remove the entries that contain the same gender from the sample space above.

A and C -Female

B and D - Male

{(A,B),(A,C),(A,D),(B,C),(B,D),(C,D)}

Therefore, the sample space if both genders are to be represented is:

{(A,B),(A,D),(B,C),(C,D)}

This is Option C.

4 0
3 years ago
A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo
ddd [48]

Answer:

Mean = 15.15

Standard deviation = 0.6062

Step-by-step explanation:

We are given a uniform distribution of  quantity to be put in each bag.

Low and high filling weights:

14.1 pounds and 16.2 pounds

a = 14.1

b = 16.2

a) Mean:

\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{14.1+16.2}{2} = 15.15

b) Standard Deviation:

\sigma = \sqrt{\displaystyle\frac{(b-a)^2}{12}}\\\\= \sqrt{\dfrac{(16.2-14.1)^2}{12}} = \sqrt{0.3675} = 0.6062

4 0
3 years ago
What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.
rosijanka [135]
C^2-a^2=b^2 b^2=81-36=45 x^2/36-y^2/45=1?
5 0
3 years ago
Which of the following representations are functions?
allsm [11]

Answer: A and B only

Step-by-step explanation:

In function, for one value of x there must be only one value of y.

4 0
3 years ago
A área do círculo mede 196 π cm². Qual a medida do seu raio?
AleksandrR [38]

Hey there!!

  • The area of a circle = πr²

The area is given as 196π

Hence,

196π = πr²

... r²= 196

... r = √196

... r = 14

<em>Hence, the radius is 14 cm. </em>

<em>Hope it helps!</em>

8 0
3 years ago
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