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3 years ago

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,

Mathematics

1 answer:

sdas [7]3 years ago

3 0

Answer:

6/5 and 7/6

Step-by-step explanation:

Notice that the numbers are 2/1, 3/2, 4/3, and 5/4, with each number having its numerator and denominator one more than the number before it. This means the next two numbers are 6/5 and 7/6.

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The volume of a cube is 125m find it's side

leonid [27]

Answer:

41.6666666667m ( round to nearest whole number if you need to) -> 42m

Step-by-step explanation:

To find the volume

You multiply the length, width, and height. ( V= LxWxH)

So, divide 125 by 3 and you get 41.6666666667.

To check your answer: 41.6666666667 times 3 and you get 125.

I HOPE THIS HELPS YOU!! :)

7 0

3 years ago

Austin consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Austin's bod

Olegator [25]

Answer:

5-hour: 0.5277
1-hour: 0.8800

Step-by-step explanation:

The decay factor for time t can be written as ...

0.2785^(t/10)

Then the 5-hour decay factor is ...

0.2785^(5/10) ≈ 0.5277

and the 1-hour decay factor is ...

0.2785^(1/10) ≈ 0.8800

5 0

3 years ago

A bag contains 90 marbles. some green and some transparent. The ratio of green

Archy [21]

Answer:

54 green marbles

Step-by-step explanation:

So green : transparent = 3:2

so 3+2=5 and 3*90/5 = 54 green marbles

8 0

3 years ago

Divide 18 in two parts so that sum of their reciprocals is 2/5

inn [45]

Answer:

3.6

Step-by-step explanation:

I think that is the answer but im not 100 percent sure

4 0

3 years ago

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. A survey

marta [7]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Sample size = 865 = n

Number of voters favor approval of an issue before the legislature = 408 = x

So, $\hat{p}=\dfrac{x}{n}=\dfrac{408}{865}=0.4716$

At 95% confidence level of significance, z = 1.96

So, confidence interval would be

$\hat{p}\pm z\sqrt{\dfrac{p(1-p)}{n}}}\\=0.4716\pm 1.96\times \sqrt{\dfrac{0.4716\times (1-0.4716)}{865}}}\\\\=0.4716\pm 0.00082222\\\\=(0.4716-0.00082222..,0.4716+0.00082222...)\\\\=(0.471,0.472)$

Hence, option 'c' is correct.

8 0

3 years ago