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dezoksy [38]
3 years ago
10

Which set of numbers is correctly ordered from greatest to least?

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

Step-by-step explanation:

Given numbers: 7\tfrac{1}{3}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,16\sqrt{2e}

We need to arrange these numbers from greatest to least .

On writing these numbers in simplified form, we get

7\tfrac{1}{3}=\frac{22}{3}=7.33\\\frac{221}{30}=7.367\\7.\overline{36}=7.3636...\\16\sqrt{2e}=16\times \sqrt{5.437}=16\times 2.332=37.312

Here,7.\overline{36} has a non-terminating repeating decimal expansion .

Vale of e = 2.71816\sqrt{2e}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,7\tfrac{1}{3}

The greatest number is 16\sqrt{2e}

Then number less than 16\sqrt{2e} is \frac{221}{30}

Then number less than \frac{221}{30} is 7.\overline{36}

Then number less than 7.\overline{36} is 7\tfrac{1}{3}

i.e 16\sqrt{2e}\,,\,\frac{221}{30}\,,\,7.\overline{36}\,,\,7\tfrac{1}{3}

So, answer is option 4.

Nina [5.8K]3 years ago
4 0

Answer:

It's D.

Step-by-step explanation:

Convert each number to decimal format.

It is option D , if we convert as above we get

7.36799, 7.36666.., 7.363636.., 7.33333..

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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.
MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1-  0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

6 0
3 years ago
If Tina traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, how fast was the plane traveling?
IRINA_888 [86]

Answer:

400 miles per hour

Step-by-step explanation:

2.000 miles : 5 hours =400 miles per hour

have a nice day :)

6 0
3 years ago
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makkiz [27]

Answer:

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4 0
3 years ago
What are the slope and why intercept shown on the graph below
viktelen [127]
Hello!

Let's start by finding the slope of the line. You can calculate the slope by dividing the change in y-values by the change in x-values using the following formula:

\frac{ y_{1}- y_{2}  }{ x_{1} - x_{2} }

The plotted coordinates are (0, 5) and (4, -5); let's plug those into the formula:

\frac{5(-5)}{0-4}

Simplify:

\frac{5+5}{-4}

\frac{10}{-4}

\frac{-5}{2}

The slope is \frac{-5}{2}.

Now, the y-intercept is where the line intersects the y-axis, or when x equals 0. x equals 0 when y equals 5, so the y-intercept is 5.

I hope this helps!
3 0
3 years ago
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given that (0,-7) is on the graph of f(x), find the corresponding point of point for the function f(x+2)
Bas_tet [7]
The graph of f(x+2) is the graph of f(x) moved 2 units to the left. The corresponding point is ...
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3 0
3 years ago
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