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fenix001 [56]
3 years ago
7

Which of the following numbers is classified as an irrational number?

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0
A. square root of 72 because it is a non repeating decimal
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sarah works at a clothing store. Her weekly salary is $250 plus%4 commision on her sales.Last week she sold $ 2,500 worth of clo
creativ13 [48]

Answer:

80,000

Step-by-step explanation:

I hope this helps:)

3 0
3 years ago
What is the height of a cylinder with a volume of 1,899.7 cubic inches and a radius of 11 inches?
FrozenT [24]


Not 100% sure. 

Height = 37.81inches


8 0
3 years ago
Read 2 more answers
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
Two cakes were cut into 8 slices iate 1/8 of the carrot cake . Iate 1/2 of the carrot cake .Me ate 1 slice of each. I ate three
FromTheMoon [43]

Answer:

There are 6 slices left.

Step-by-step explanation:

The remaining slices are:

Carrot Cake

x = \left(\frac{8}{8}  -\frac{1}{8} -\frac{4}{8} -\frac{1}{8}  \right)\cdot 8

x = 2

Chocolate Cake

y = \left(\frac{8}{8} - \frac{1}{8} - \frac{3}{8}  \right)\cdot 8

y = 4

There are 6 slices left.

7 0
3 years ago
Is the data point, P, an outlier, an influential point, both, or neither?
telo118 [61]

I'd say an outlier. P is separated noticably from the other points and would not considerably affect the slope of the line

8 0
3 years ago
Read 2 more answers
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