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4 years ago

Simplify the expression (3x^2y^-3)^3/27(xy)^-9?

Mathematics

2 answers:

egoroff_w [7]4 years ago

5 0

$\frac{[(3x^{2}y^{-3})^{3}]}{27(xy)^{-9}}\\\\\frac{27x^{6}y^{-9}}{27x^{-9}y^{-9}}\\\\\frac{27x^{6}}{27x^{-9}}*\frac{x^{9}}{x^{9}}\\\\\frac{x^{15}}{1}\\\\x^{15}$

Your answer should be $x^{15}$ .

Serga [27]4 years ago

3 0

Hello here is a solution :

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Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he

algol13

ANSWER
0.756

EXPLANATION

Let x represent number of correct answers.

We can find

$P(x = 0 \text{ or } x = 1)$

which leads us to

$P(x\ge 2) = 1 - P(x = 0\text{ or }x = 1)$

which uses the compliment of $P(x = 0\text{ or }x = 1)$ to find the probability of getting at least 2 questions correct.

Note that since $P(x=0)$ and $P(x=1)$ are mutually exclusive, we have

$P(x = 0\text{ or }x = 1) = P(x=0) + P(x=1)$

Then $P(x=0) = 3^{10}/4^{10} = (3/4)^{10}$ as we have $3^{10}$ to answer the questions incorrectly divided by the total $4^{10}$ to answer the questions.

Exactly 1 answer correct: $P(x=1) = {}_{10}C_1 \cdot(3/4)^9(1/4)^1$

Therefore

$\begin{aligned}
P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\
&=1 - \big[P(x=0) + P(x=1)\big] \\
&=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\
&\approx 0.756
\end{aligned}$

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to 6^4 x 6^3

Alex777 [14]

Answer:

$36^{7}$

Step-by-step explanation:

$6^{4}$ × $6^{3}$

6 x 6 = 36

4 + 3 = 7 (add exponents because its multiplication)

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3 years ago

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Evaluate the expression when y=-3 y^2-7y+6

Kaylis [27]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

y² - 7y + 6

y = -3

Step 2: Evaluate

Substitute in y: (-3)² - 7(-3) + 6
Exponent: 9 - 7(-3) + 6
Multiply: 9 + 21 + 6
Add: 30 + 6
Add: 36

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3 years ago

Between which two rational numbers is the square root of 3 located?

viva [34]

The answer would be B, 1.7 and 1.8.
HOPE THIS HELPS! ^_^

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3 years ago

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If an object is shot with an initial velocity of 160 ft/sec, what is the smallest initial angle will you need to obtain a horizo

MrRissso [65]

To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
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0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63

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4 years ago