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4 years ago

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Nancy is running on a trail that's 5.3 miles long. After 20 minutes, she has run 1.45 miles. Write an addition to fine how much

farther Nancy has to run to complete the trail.

1 answer:

mars1129 [50]4 years ago

5 0

Answer:

5.3-1.45=3.85

Step-by-step explanation:

she has 3.85 miles left to go because she already ran 1.45 and if you subtract that from the 5.3 you get 3.85 left to run.

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A coin is tossed 3 times. What is the probability that the number of tails obtained will be between 1 and 3 inclusive?

LekaFEV [45]

Answer: $\dfrac{7}{8}$

Step-by-step explanation:

Given : When a coin is tossed twice , the total outcomes will become

HHH , HHT , HTH , THH , TTH , THT , HTT ,TTT

Total outcomes = 8

Favorable outcomes to obtain 1 and 3 inclusive = HHT , HTH , THH , TTH , THT , HTT ,TTT

Number of favorable outcomes = 7

Probability that the number of tails obtained will be between 1 and 3 inclusive = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$=\dfrac{7}{8}$

Hence, the probability that the number of tails obtained will be between 1 and 3 inclusive $=\dfrac{7}{8}$

5 0

3 years ago

if A and B are overlapping subset of a universal set U,write the relation between n(U), n(A U B) and (A U B) compliments

Ilya [14]

Answer:

n(U) = n(AUB) + n(AUB)'

Step-by-step explanation:

The cardinality of the universal set will be to add the cardinalities of both the union of A and B i.e (A U B) and and the compliments of A and B i.e n(AUB)'

4 0

3 years ago

Montano1993 [528]

Step-by-step explanation:

Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

$\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}$

Addition and subtraction requires that we find a common demoninator.

For example,

$\frac{6}{4} + \frac{4}{3}$

The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

$\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}$

Then we add the numerators

$\frac{18+16}{12} = \frac{32}{12}$

Then we should reduce.

$\frac{16}{6} = \frac{8}{3}$

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: $\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}$

3 0

3 years ago

50/22 rounded to the hundredth

Fynjy0 [20]

Divide 50 by 22: 2.27272727...

Round up to hundredth and your final answer is 2.27

hope that helps :)

3 0

3 years ago

A corporation reported profits of approximately $600 million with approximately $11 million in revenues. Compare the profit to

Alja [10]

Answer:

For every $55 revenue, $3 is profit

Step-by-step explanation:

A corporation reports profit of 600,000,000

Revenue of 11,000,000,000

Therefore comparing the revenue to profit can be calculated as follows

= 600,000,000/11,000,000,000

= 6/110

= 3/55

Hence for every $55 revenue $3 out of it is the profit

6 0

3 years ago