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3 years ago

The scale factor of the volume of two cubes is 8 to 27. What is the scale factor of the sides of the cubes?

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

The scale factor of the length of the sides of the cubes is 2:3

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

3 years ago

I don’t know what to do please don’t give me files I don’t get it

QveST [7]

Answer:

i believe its dependent

Step-by-step explanation:

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3 years ago

What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x^4 + 5x^3 − x^2 + 8x + 4?

kvv77 [185]

According to the fundamental theory of algebra, the number of solutions of an equation equals the degree of that equation.
This is a fourth degree equation, so there are 4 solutions.

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3 years ago

A national business magazine reports that the mean age of retirement for women executives is 62.7. A women’s rights organization

GenaCL600 [577]

Answer:

The answer is " $\neq$ "

Step-by-step explanation:

Given:

$n=97\\\\\alpha=0.10\\\\\bar{x}=63.1\\\\\sigma=4\\\\$

So, the null and alternative hypothesis is:

$H_0 : \mu =6.27\\\\H_a : \mu \neq 62.7$

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3 years ago

A circular path 2 feet wide has an inner diameter of 150 feet. How much farther is it around the outer edge of the path then aro

zheka24 [161]

Answer = The string would be 4pi feet longer than the Earth's circumference at the surface at about 12.5 feet.
(hope this helps)

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3 years ago