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Y_Kistochka [10]
3 years ago
9

What is equivalent to 13 - √-18? 4 13 - 9i 13 + 9i 22

Mathematics
1 answer:
beks73 [17]3 years ago
8 0
√-1=i

13-√-18=
13-√(-1)(18)=
13-(√-1)(√18)=
13-(i)(3√2)=
13-3i√2
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U(-3,6), V(-8, 1), W(-3,1)<br> 180° rotation about the origin
Ad libitum [116K]

Answer:

<em>U'</em>(3, -6), <em>V</em><em>'</em>(8, -1), <em>W</em><em>'</em>(3, -1)

Step-by-step explanation:

According to the <em>180°-rotation rule</em>, you take the OPPOSITE of both the y-coordinate and x-coordinate:

<u>Extended Rotation Rules</u>

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

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3 years ago
In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop
steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

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Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

5 0
3 years ago
11. Use multiplication to find an equivalent<br> fraction for 1/3
nikitadnepr [17]

Answer: 1/3*2*2=2/6

Step-by-step explanation:

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4 0
3 years ago
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Liliana is using dark power crystals to raise an army of zombies. She has 5 55 dark power crystals, and each crystal can raise 1
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Answer:

56060550

Step-by-step explanation:

555x101010=56060550

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4 0
3 years ago
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In the xy-coordinate plane, a line has a slope of −5/3. If the line crosses the y-axis at (0, b), at what point does it cross th
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Answer:

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Step-by-step explanation:

The equation of a line in slope- intercept form is

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- 5x = - 3b ( divide both sides by - 5 )

x = \frac{3}{5} b , thus

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6 0
3 years ago
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