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Nat2105 [25]
3 years ago
15

It is known that x+y=10 and that x=z show that z+y=10

Mathematics
1 answer:
morpeh [17]3 years ago
4 0
Known that,

x = z

Also known that,

x + y = 10

Substituting value of x,

z + y = 10

Hence, proved.
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The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The A
photoshop1234 [79]

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence z_\frac{\alpha }{2} =1.44

The margin of error (E) is:

E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

7 0
3 years ago
PLEASE HELP!!! Classify each real number. List all the subsets in which the number belongs.
Marat540 [252]

Answer:

9^3 is Natural, Whole, Integer, and Rational

7/4 is Rational

√3 is Irrational

0 is Whole, Integer, and Rational

Thinking Process:

Alright, to start, with 9^3, it equal 729. This is a natural, whole, integer, and rational number. It is a natural number because it follows the counting (1, 2, 3...etc). Because of this, it is also part of all of the other rational categories as well.

With the next one, 7/4, this equals 1.75. It is not a natural, whole, or integer number because it is a decimal. However, it is rational, because it is still definite.

Next, with √3, this equals 1.73205.... It is irrational because it is not definite as it is a sequence of numbers that go on forever, being unpredictable in nature.

Last is 0, it is not a natural number because it does not follow the counting (1, 3, 3...etc). But it is whole because it follows the counting (0, 1, 2, 3...etc). This is along with it being an integer and rational because of this.

5 0
3 years ago
Gavin had $75,000 in a CD at Chunk-a-Change Bank, which just failed. If the
swat32

Answer:

$75,000

Step-by-step explanation:

8 0
3 years ago
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Find the valueof the symbol x: (x÷5)×4=80÷(5×4)
Strike441 [17]

Answer:

Step-by-step explanation:

(x÷5)*4=80÷(5*4)

(x÷5)*4 = 80÷20

(x÷5)*4 = 4

x÷5 = 4÷4

\frac{x}{5}=1\\\\x=1*5\\\\x=5

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3 years ago
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What is the slope of a line parallel to y =4x - 6?
BARSIC [14]

Answer:

y = 5x - 6

Step-by-step explanation:

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4 years ago
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