Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square fe
1 answer:
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<span>A.) the sum of a and b is never rational.
This is a true statement. Since an irrational umber has a decimal part that is infinite and non-periodical, when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.
</span><span>B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.
</span><span>C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like </span>
, you will end with a rational number: 
, but, if you square rationals from different roots than square root like ![\sqrt[3]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B2%7D%20)
, you will end with an irrational number: ![\sqrt[3]{2^{2} } = \sqrt[3]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B2%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7B2%7D%20)
.
<span>D.) a^2 is always rational
This one is false. If you square a rational number, you will always end with another rational number.
</span><span>E.) square root of a is never rational
</span>This one is false. The square root of perfect squares are always rational numbers:
, 
,...
F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.
We can conclude that given that<span> a is a rational number and b be an irrational number, A, C, D, and F are true statements.</span>
This is a true statement. Since an irrational umber has a decimal part that is infinite and non-periodical, when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.
</span><span>B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.
</span><span>C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like </span>
<span>D.) a^2 is always rational
This one is false. If you square a rational number, you will always end with another rational number.
</span><span>E.) square root of a is never rational
</span>This one is false. The square root of perfect squares are always rational numbers:
F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.
We can conclude that given that<span> a is a rational number and b be an irrational number, A, C, D, and F are true statements.</span>
Answer:
The answer is below
Step-by-step explanation:
Given that:
The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
a) For x < 2:
From normal distribution table, P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%
b) For x = 2:
For x = 11:
From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337
c) For x = 11:
From normal distribution table, P(x < 11) = P(z < 1.67) = 0.9525
d) For x = 2:
For x = 5:
From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) = 0.2033- 0.0188 = 0.1845
e) For x = 5:
From normal distribution table, P(x < 5) = P(z < -0.83) = 0.2033