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Nataliya [291]
3 years ago
13

The dimensions of a box that will hold twice as many cubes as a box that is 4 by 5 by 6

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
8, 10, 12, I think...?

i just doubled all the numbers
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Simplifying an Expression with the Numerator and the Denominator Raised to a Power
slamgirl [31]

Answer:

The answer to your question is    the second option     \frac{1}{x^{48}y^{36}z^{6}}

Step-by-step explanation:

Expression

                       [\frac{(x^{2}y^{3})^{-2}}{(x^{6}y^{3}z)^{2}}]^{3}

Process

1.- Divide the fraction in numerator and denominator

a) Numerator  

 [(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸

b) Denominator

 [(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶

2.- Simplify like terms

a) x⁻¹²x⁻³⁶ = x⁻⁴⁸

b) y⁻¹⁸y⁻¹⁸= y⁻³⁶

c) z⁻⁶

3.- Write the fraction

        \frac{1}{x^{48}y^{36}z^{6}}

6 0
3 years ago
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand
Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})

P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})

P(X > 1560) = P(Z > \dfrac{110}{220})

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean \mu_x = np = 52 × 0.3085 = 16.042

The standard deviation =  \sqrt {n \time p (1-p)}

The standard deviation = \sqrt {52 \times 0.3085 (1-0.3085)}

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})

Pr ( Y > 20) = P(Z >1 .338)

From z tables

P(Y > 20) \simeq 0.0903

7 0
3 years ago
Which situation can be represented by this inequality?
sasho [114]

Answer:

C

Step-by-step explanation:

the greater than or less then symbol means at least and $425 means it has to be added in each month.

5 0
3 years ago
Read 2 more answers
What percent of 82 is 12?
RUDIKE [14]
100(12 / 82) = 14.6% approximately.
8 0
3 years ago
What is 17x greater than -17?
lesya [120]

Answer:

Step-by-step explanation:

Any number that times 17 is bigger than -17

5 0
3 years ago
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