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3 years ago

It’s late! Please help me asap!

Mathematics

2 answers:

Oksana_A [137]3 years ago

7 0

Answer:

x=6

Step-by-step explanation:

According to Pythagoras theorem

x²+y²=z²

x²+8²=10²

x=√10²-8²

x=√100-64

x=√36

x=6

Ede4ka [16]3 years ago

3 0

Answer:

D. x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 8

Leg b = x

Hypotenuse c = 10

Step 2: Solve for x

Substitute [PT]: 8² + x² = 10²
Isolate x term: x² = 10² - 8²
Exponents: x² = 100 - 64
Subtract: x² = 36
Isolate x: x = 6

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Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

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3 years ago

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GenaCL600 [577]

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Step-by-step explanation:

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2 years ago

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Delvig [45]

Answer:

$y = \frac{1}{7} x + 7$

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

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ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

$\frac{7y}{7} = \frac{49}{7} + \frac{x}{7}$

$y = 7 + \frac{1}{7} x$

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

$y = \frac{1}{7} x + 7$

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3 years ago

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3 years ago

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