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Neporo4naja [7]
4 years ago
12

If 10a+10b=35, what is the average (arithmetic mean) of a and b?

Mathematics
1 answer:
worty [1.4K]4 years ago
6 0

Answer:

1.75

Step-by-step explanation:

If a  and b are two numbers, then their arithmetic mean is

\dfrac{a+b}{2}

Given:

10a+10b=35

Divide this equation by 10:

a+b=3.5

Now, divide it by 2:

\dfrac{a+b}{2}=\dfrac{3.5}{2}\\ \\\dfrac{a+b}{2}=1.75

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47. Forming a Committee Four members from a 20-person committee are to be selected randomly to serve as chair- person, vice-chai
Svetllana [295]

Answer:

116,280 different leadership structures are possible

Step-by-step explanation:

The order is important.

For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many different leadership structures are possible

Permutations of 4 elements from a set of 20. So

P_{(20,4)} = \frac{20!}{(20-4)!} = 116280

116,280 different leadership structures are possible

6 0
3 years ago
Sin 0 = 0.731353701, 0º PLEASE HELP!!
Snezhnost [94]

Answer:

The two solutions for \sin \theta = 0.731353701 are \theta_{1} \approx 47^{\circ} and \theta_{2}\approx 133^{\circ}, respectively.

Step-by-step explanation:

The sine function is positive in the first and second quadrants, that is, 0^{\circ}< \theta < 180^{\circ}. Then, there are two solutions for the given value by means of the following inverse trigonometrical function:

\theta = \sin^{-1} 0.731353701

\theta_{1} \approx 47^{\circ} and \theta_{2}\approx 133^{\circ}

The two solutions for \sin \theta = 0.731353701 are \theta_{1} \approx 47^{\circ} and \theta_{2}\approx 133^{\circ}, respectively.

7 0
3 years ago
Whats the middle number of 15 and 24
never [62]

Answer:

19.5

Step-by-step explanation:

15+24=39

39 divided by 2

=19.5

If there is an even number of numbers locate the two middle numbers so that there is an equal number of values to the left and to the right of these two numbers. Step 3: If there is an odd number of numbers, this middle number is the median. If there is an even number of numbers add the two middles and divide by 2.

3 0
3 years ago
How do you convert sin into cos, and vice versa.. Promblem: cos(6x) = sin(3x-9)
LUCKY_DIMON [66]
The rule for converting sin into cos and vice versa is:
sin α = cos ( 90° - α ) or cos α = sin ( 90° - α )
In this case:
cos ( 6 x ) = sin ( 90° - 6 x )
sin ( 90° - 6 x ) = sin ( 3 x - 9°)
90° - 6 x = 3 x - 9°
90° + 9° = 3 x + 6 x
99° = 9 x
x = 99° : 9 = 11°
Answer: C ) x = 11°
5 0
3 years ago
keira has 83 spelling words to study in 8 weeks. she already knows 3 words. she will study the same number of words each week. h
Lemur [1.5K]
10 because she already knows 3 so then you divide 80 (number of words she hasn’t learned) by 8 (the number of weeks) and you get 10.
5 0
3 years ago
Read 2 more answers
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