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3 years ago

The right rectangular prism is filled with cubes that have a side length of 1/8 foot.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512

Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.

The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64

Now convert 3/64 to have a denominator of 512

3/64*8/8= 24/512

24/512 divided by 1/512 is 24

You can fit 24 cubes in the rectangle.

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

3. There are 124 acorns laying on the ground in your yard, it is predicted that the number of acorns will

Gennadij [26K]

Answer:

507,409

Step-by-step explanation:

if every 5 days the number quadruples (x4), and we want to know how many acorns fall after 30 days, we can divide 30 by 5 so we only have to calculate for the amount of time the take to quadruple.

30 ÷ 5 = 6

so we only have to quadruple the acorns 6 times.

if we start off with 124 acorns, this is what it will look like:

Day 0: 124 acorns

Day 5: 124 x 4 = 496 acorns

Day 10: 496 x 4 = 1984 acorns

Day 15: 1984 x 4 = 7936 acorns

etc... until day 30.

Day 30: 507904 acorns

I hope this was helpful :-)

5 0

3 years ago

Explain why 13233345364715 is a composite no.

rodikova [14]

Answer:

A composite number has more than two factors. In this case, the number 13233345364715 has more than two factors, so it is composite.

Step-by-step explanation:

Numbers can be classified as prime or composite. Prime numbers have only two factors, 1 and the number itself. For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13. However, a composite number has more than two factors. In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5. To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.

6 0

3 years ago

A car traveling at 35mph follows a/an ____________ pattern.

zheka24 [161]

Answer:

C. Exponential

6 0

3 years ago

4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp

inysia [295]

Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856

3 0

3 years ago