1. An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. - Google
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2. 4.8
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3a.) √40 = 6.3
3b.) 2.6 because ∛8 equals 2
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4. 9
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5. ∛512 = 8
The interquartile range is 12.5.
We first find the median. To do this, order the data from least to greatest and find the middle value:
72, 80, 81, 84, 92, 92, 94, 95
There are 8 data values. The median is between 84 and 92:
(84+92)/2 = 176/2 = 88
The median splits the data into two halves. The lower quartile is the median of the lower half; this is between 80 and 81:
(80+81)/2 = 161/2 = 80.5
The upper quartile is the median of the upper half; this is between 92 and 94:
(92+94)/2 = 186/2 = 93
The interquartile range is found by subtracting these:
93-80.5 = 12.5
I cant open the picture somehow, but if I could see it, I would help
Answer:
x = 2 + i sqrt(66) or x = 2 - i sqrt(66)
Step-by-step explanation:
Solve for x:
x^2 - 4 x + 70 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 70 from both sides:
x^2 - 4 x = -70
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 4 to both sides:
x^2 - 4 x + 4 = -66
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x - 2)^2 = -66
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x - 2 = i sqrt(66) or x - 2 = -i sqrt(66)
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + i sqrt(66) or x - 2 = -i sqrt(66)
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + i sqrt(66) or x = 2 - i sqrt(66)
