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PtichkaEL [24]
3 years ago
7

A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number

less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) =
Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0
You would find the probability of getting an answer less than 10 by counting all of the possible outcomes, or numbers that are less than 10 and compare them to the total number of possible outcomes, or the total number of numbers. You would write the ratio of predicted outcomes to total possibilities.

The answer would be 4/9.
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The answer is c !! -1/2
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3) The distance between two villages is 1.9 km.
Dmitrij [34]

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3 0
3 years ago
. For each of these intervals, list all its elements or explain why it is empty. a) [a, a] b) [a, a) c) (a, a] d) (a, a) e) (a,
Eva8 [605]

Answer:

Elements are of the form

 (i) [a,a]=\{[x,y] : a\leq x\leq a, a\leq y\leq a; a\in \mathbb R\}

(ii) [a,b)=\{[x,y) :a\leq x

(iii)(a,a]=\{(x,y] :a

(iv)(a,a)=\{(x,y): a

(v) (a,b) where a>b=\{(x,y) : a>x>b,a>y>b;a>b,a,b \in \mathbb R\}

(vi) [a,b] where a>b=\{[x,y] : a\geq x\geq b,a\geq y\geq b;a>b,a,b \in \mathbb R\}

Step-by-step explanation:

Given intervals are,

(i) [a,a] (ii) [a,a) (iii) (a,a] (iv) (a,a) (v) (a,b) where a>b (vi)  [a,b] where a>b.

To show all its elements,

(i) [a,a]

Imply the set including aa from left as well as right side.

Its elements are of the form.

\{[a,a] : a\in \mathbb R\}=\{[0,0],[1, 1],[-1,-1],[2,2],[-2,-2],[3,3],[-3,-3],........\}

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a] represents singleton sets, and singleton sets are empty so is [a,a].

(ii) [a,a)

This means given interval containing a by left and exclude a by right.

Its elements are of the form.

[ 1, 1),[-1,-1),[2,2),[-2,-2),[3,3),[-3,-3),........

Since there is a singleton element a of real numbers withis the set, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a) represents singleton sets, and singleton sets are empty so is [a.a).

(iii) (a,a]

It means the interval not taking a by left and include a by right.

Its elements are of the form.

( 1, 1],(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  (a,a] represents singleton sets, and singleton sets are empty so is (a,a].

(iv) (a,a)

Means given set excluding a by left as well as right.

Since there is a singleton element a of real numbers, this set is empty.

Its elements are of the form.

( 1, 1),(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Because there is no increment so if a\in \mathbb R then the set  (a,a) represents singleton sets, and singleton sets are empty, so is (a,a).

(v) (a,b) where a>b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which not take x and y by any side of the interval.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

(a,b)=\{(5,0),(5,1),(5,2).....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

(vi) [a,b] where a\leq b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which include both x and y.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

[a,b]=\{[5,0],[5,1],[5,2].....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

8 0
3 years ago
Assume that all intersecting sides meet at right angles
givi [52]

Answer:

6

Step-by-step explanation:

15-9

8 0
3 years ago
A mole of 1 gallon cans of paint could cover every square inch of the surface of how many planets the size of the earth?
Nady [450]

Answer:

The answer is 4.4*10^1^0 planets

Step-by-step explanation:

We ll have to find more information first to solve this question.

1. One mole = 6.022 x 10^23

Assuming one gallon of paint covers the 400 sq ft of area.

Thus total area which can be covered by 1 mole of gallon is

=6.022*10^2^3 * 400\\=2.40*10^2^6

2. Now we will find the surface area of earth

Area = 4\pi R^2

The radius of earth is 2.1 x 10^7 Feet

substituting values

Area = 4*3.14*(2.1*10^7)^2\\Area = 5.5*10^1^5ft^2

3. Now we will find out the number of planets of earth size which can be covered by mole of gallon of paint

= Total area one mole of gallon can cover / area of earth

= 2.40 * 10^2^6/5.5*10^1^5\\=4.4*10^1^0 planets

6 0
3 years ago
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