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3 years ago

15

last month leonardo went to the gas station 5 times to buy gas for his car the numbers of gallons he purchased were 14.071, 14.3

2, 14.199 and 14.1 gallons

1 answer:

zavuch27 [327]3 years ago

8 0

Answer:

its 14.32

Step-by-step explanation:

because if you line all the numbers up and you look in the hundreds place 3 is the biggest number

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Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

2 years ago

In 2009, the American Time Use Survey found that the average American spends 2.8 hours a day watching TV. Suppose the standard d

Anit [1.1K]

Answer:

4.72 hours/day

Step-by-step explanation:

Mean time spent watching TV (μ) = 2.8 hours a day

Standard deviation (σ) = 1.5 hours a day

The 90th percentile (upper 10%) of a normal distribution has an equivalent z-score of roughly z = 1.282. The minimum time spent watching TV, X, at the 90th percentile is:

$z=\frac{X-\mu}{\sigma} \\1.282=\frac{X-2.8}{1.5}\\ X=4.72\ hours/day$

On a typical day, you must watch at least 4.72 hours of TV to be in the upper 10%.

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2 years ago

What are the x and y values....?<br><br> -1x + 2y = 18 <br><br> Haylp me pls!

Nesterboy [21]

Use the zeroes to figure this out... x=-18, y=9

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3 years ago

Write the ratio 7/8 in two different forms

Rainbow [258]

You can write it
7 to 8
7:8

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3 years ago

Solve for n<br><br><br>-1(2n+4)= -14

DedPeter [7]

Yo sup??

-1(2n+4)=-14

-2n-4=-14

-2n=-10

n=5

Hope this helps.

3 0

3 years ago

Read 2 more answers