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4 years ago

Order greatest to least: 1) 0.7, 7/9, 7/8? 2) 6 1/20, 6.1, 6.07?

1 answer:

7 0

1)You convert the fractions into decimals so you get these
0.7, 0.77778, 0.875
the order from greatest to least is: 7/8, 7/9, 0.7

2) Same thing
6.05, 6.1, 6.07
now in order
6.1, 6.07, 6 1/20

You might be interested in

Suppose that the length of a side of a cube X is uniformly distributed in the interval 9

Nastasia [14]

Answer:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

Step-by-step explanation:

Given

$9 < x < 10$ --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

$v = x^3$

For a uniform distribution, we have:

$x \to U(a,b)$

and

$f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.$

$9 < x < 10$ implies that:

$(a,b) = (9,10)$

So, we have:

$f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Solve

$f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Recall that:

$v = x^3$

Make x the subject

$x = v^\frac{1}{3}$

So, the cumulative density is:

$F(x) = P(x < v^\frac{1}{3})$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$ becomes

$f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.$

The CDF is:

$F(x) = \int\limits^{v^\frac{1}{3}}_9 1\ dx$

Integrate

$F(x) = [v]\limits^{v^\frac{1}{3}}_9$

Expand

$F(x) = v^\frac{1}{3} - 9$

The density function of the volume F(v) is:

$F(v) = F'(x)$

Differentiate F(x) to give:

$F(x) = v^\frac{1}{3} - 9$

$F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}$

$F'(x) = \frac{1}{3}v^{-\frac{2}{3}}$

$F(v) = \frac{1}{3}v^{-\frac{2}{3}}$

So:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

8 0

3 years ago

2) A gym charges a $30 membership fee and $10 per month. Write an

kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0

3 years ago

Solve for w.<br> 2w=12-4w<br> Simplify your answer as much as possible.

aev [14]

So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!

6 0

4 years ago

The ratio of orange juice to pinapple jucie in tropical treat punch is 4 to 3. Bill has 64oz of orange juice. How many pineapple

iogann1982 [59]

We are given :

The ratio of orange juice to pineapple juice in tropical treat punch = 4:3 or 4/3.

Number of oz of orange juice = 64 oz.

Let us assume number of oz pineapple juice does he need = p.

We can setup an proportion:

64 : p = 4 : 3

$\frac{64}{p} = \frac{4}{3}$

On cross multiplication we get

64 × 3 = 4 × p

192 = 4p

Dividing both sides by 4, we get

p = 48.

<h3>Therefore, he needs 48 oz of pineapple juice.</h3>

5 0

3 years ago

How do I simplify the value of y= 200,000(1.06)15

Fudgin [204]

Answer:

For this, first you must multiply the exponent, which in this case is 1.06^15,

and this gives you 2.39655819.

You then multiply 2.39655819 by 200000.

y = 479311.638

4 0

3 years ago

Read 2 more answers