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Alex
3 years ago
8

In a recent survey, students were asked how long they play video games in one sitting. The interquartile range of

Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

The middle half of the video game data has a range that is 43 minutes wide.

Step-by-step explanation:

Thats the answer on Edguinity I took the Quiz.

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Find the two numbers that have a mean of 12 and a range of 6.​
horrorfan [7]

Answer:

9 and 15

Step-by-step explanation:

9 + 15 = 24/ 2 = 12

15 - 9 = 6

3 0
2 years ago
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Equipment has been sorted into Baseballs and bats. The number of baseballs is four less than three times the number of bats. The
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80% and nbaseballws as well with 80%
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Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
PLEASE HELP ME FAST!!!!!!!<br> who do i write the number 0.23333333333... repeating as a fraction?
PSYCHO15rus [73]
It is 23/100 just say it and then write it
3 0
2 years ago
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What is the domain and range of y=x
liberstina [14]
The range of a function is all possible output, or y, values. The domain is all possible input, or x, values. 


I case of y = x , domain and range are real number.
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2 years ago
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