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3 years ago

What's the difference between -1/2 and 1/6

Mathematics

1 answer:

horsena [70]3 years ago

4 0

Answer: -4/6 or -2/3

Step-by-step explanation:

First, you find a common denominator among the fractions, which would be 6.

Convert -1/2 to have 6 as its denominator.

-1/2* 3/3 = -3/6

And then subtract them.

-3/6 - 1/6 = -4/6

-4/6 simplified is -2/3

When you subtract a positive number from a negative number, you are adding their absolute values.

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Area of a triangle (picture provided)

nignag [31]

Answer:

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

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3 years ago

Find the ratio. Sam ran 3520 feet in 20 minutes.

Rufina [12.5K]

3520:20 should be correct

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3 years ago

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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

1,2,3, or 4 for answer

slava [35]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

3. Paula commutes 60 km each day for work, five days a week, nine months of the year. She travels 720

bezimeni [28]

Answer:

16,080 km.

Step-by-step explanation:

We want the total number of kilometers in one year.

4 weeks /month.

for Work: 9 months in the year 60 km/day 5 days/week

Family Visit : 720 km for 4 times a year

Personal: 200 km / month

Work total = 60 km/day * 5 days/week * 4week/month * 9 months

WorkTotal= 60*5*4*9 = 10,800 km

FamilyTotal= 4*720 = 2880 km

Personal = 200*12 = 2400 km

Total = 10,800 + 2880 + 2400 = 16,080 km

7 0

4 years ago