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3 years ago

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Mathematics

1 answer:

Mrac [35]3 years ago

3 0

Answer:

$X=6$

Step-by-step explanation:

From the question we are told that

Length $l=2$

Height $h=3/2$

Width $w=1$

Generally the equation for Volume of the Rectangular prism is mathematically given by

$v=l*h*w$

$v=2*\frac{3}{2}*1$

$v=3m^3$

Therefore the number of half 1/2 inch cube X in v is

$X=\frac{v}{1/2}$

$X=6$

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There are 52 weeks in a year. Ben has lived in london for two fifths of year. How many weeks has ben lived in london?

masha68 [24]

Answer:

$\frac{104}{5}$ weeks or $20\frac{4}{5}$ weeks

Step-by-step explanation:

To do this we can set up a proportion

$\frac{52}{1} *\frac{2}{5}$

This will tell us how many weeks are in 2/5 of a year

Let's evaluate this

$\frac{104}{5}$

We cannot simplifiy this anymore, so we will leave it as an improper fraction, or a mixed number as shown below

$20\frac{4}{5}$ weeks

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3 years ago

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In your own words what is the definition of reflection (in geometry)

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Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

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2 years ago

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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3 years ago

If sin theta = - squrt.3/2 and pi < theta < 3pi/2, what are the values of cos theta and tan theta?

Kryger [21]

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Step-by-step explanation:

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