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AnnZ [28]
3 years ago
12

How is a corollary related to a theorem.

Mathematics
1 answer:
Serjik [45]3 years ago
6 0
A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem<span> in geometry that the angles opposite two congruent sides of a triangle are also congruent. A </span>corollary<span> to that statement is that an equilateral triangle is also equiangular</span>
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An integer N is to be selected at random from {1, 2, ... , (10)3 } in the sense that each integer has the same probability of be
Andrej [43]

Answer:

Probability of N Divisible by 3 - 0.33

Probability of N Divisible by 5 - 0.2

Probability of N Divisible by 7 - 0.413

Probability of N Divisible by 15 - 0.066

Probability of N Divisible by 105 - 0.0095

Step-by-step explanation:

Given data:

Integer N {1,2,.....10^3}

Thus total number of ways by which 1000 is divisible by 3 i.e. 1000/3 = 333.3

Probability of N divisible by 3 {N%3 = 0 } = \frac{333.3}{1000} = 0.33

total number of ways by which 1000 is divisible by 5 i.e. 1000/5 = 200

Probability of N divisible by 5 {N%5 = 0 } = \frac{200}{1000} = 0.2

total number of ways by which 1000 is divisible by 7 i.e. 1000/7 = 142.857

Probability of N divisible by 7 {N%7 = 0 } = \frac{142.857}{1000} = 0.413

total number of ways by which 1000 is divisible by 15 i.e. 1000/15 = 66.667

Probability of N divisible by 15 {N%15 = 0 } = \frac{66.667}{1000} = 0.066

total number of ways by which 1000 is divisible by 105 i.e. 1000/105 = 9.52

Probability of N divisible by 105 {N%105 = 0 } = \frac{9.52}{1000} = 0.0095

similarly for N is selected from 1,2.....(10)^k where K is  large then the N value. Therefore effect of k will remain same as previous part.

3 0
3 years ago
Read 2 more answers
Determine f(-1) if the graph of f(x) is given below.
-BARSIC- [3]

Answer:

f(-1) = -2

Step-by-step explanation:

Given

The attached graph

Required

f(-1)

This is the point where

x = -1

On the attached graph;

f(x) = -2 when x = -1

Hence:

f(-1) = -2

8 0
2 years ago
B) 8xy +4y² factorise
m_a_m_a [10]

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

8 0
1 year ago
two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec
netineya [11]

184 + 248 \div 3 =

6 0
3 years ago
PLEASE HELP! WILL GIVE BRAINLIEST
kiruha [24]

Answer:

73

Step-by-step explanation:

Angle JID is supplementary to Angle JIH so:

180- Angle JIH= Angle JID

180-107=73

Angle JID is opposite to Angle AJF(angle x)

Opposite angles are always equal

Angle JID=Angle AJF(x)

73=Angle AJF(x)

8 0
3 years ago
Read 2 more answers
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