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olga2289 [7]
2 years ago
7

Whats the distance between the points (2, 7) and (2, 15)

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

<u>What is the Distance between Two Points?</u>

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Formula:
  • \sqrt{(x2-x1)^2+(y2-y1)^2}

Putting Values:

=\sqrt{(2-2)^2+(15-7)^2}

=\sqrt{(0)^2+(8)^2}

=\sqrt{0+64}

=\sqrt{64}

=8

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Write the interval (5,100] as an inequality and using set notation
drek231 [11]

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

7 0
3 years ago
8.5 written as a decimal??
Galina-37 [17]
Its already written as a decimal but it can be 8 1/2
5 0
3 years ago
Read 2 more answers
Please help me with this question
Daniel [21]

Answer:

1/2

Step-by-step explanation:

if you look at a unit circle, sin(\pi/6) is \sqrt{3}/2 so cos of (\pi/6/2) would be \pi/3, and cos of (\pi/3) is 1/2

8 0
3 years ago
There are 10 cards. Each card has one number between 1 and 10, so that every number from 1 to 10 appears once.
pychu [463]

Answer:

When a card is chosen at random with replacement five times, X is the number of times a prime number is chosen.          Here the card is chosen with replacement.  This implies probability for choosing a prime number remains the same as the previously drawn card is replaced.

The sample space= {1,2,3,4,5,6,7,8,9,10}

Prime numbers = {2,3,5,7}

Prob for drawing prime number = 4/10 = 0.4

is the same when replacement is done.

Also there are two outcomes either prime or non prime.  Hence in this case, X the no of times a prime number is chosen, is binomial with p =0.4 and q = 0.6 and n=5


When a card is chosen at random without replacement three times, X is the number of times an even number is chosen.

Prob for an even number = 0.5

But after one card drawn say odd number next card has prob for even number as 5/9 hence each draw is not independent of the other.  Hence not binomial.

When a card is chosen at random with replacement six times, X is the number of times a 3 is chosen.

Here since every time replacement is done, probability of drawing a 3 remains constant = 1/10 = 0.3

i.e. each draw is independent of the other and there are only two outcomes , 3 or non 3. Hence here X is binomial.

When a card is chosen at random with replacement multiple times, X is the number of times a card is chosen until a 5 is chosen

Here X is the number of times a card is chosen with replacement till 5 is chosen.  This is not binomial.  Here probability for drawing nth time correct 5 is  P(non 5 in the first n-1 draws)*P(5 in nth draw) = 0.1^(n-1) (0.9)

Because nCr is not appearing i.e. 5 cannot appear in any order but only in the last draw, this is not binomial.

Step-by-step explanation:


6 0
3 years ago
What is the answer for this​
jek_recluse [69]

Answer:

Step-by-step explanation:

.72x+3=0.3(2.4+15)

.72x+3=0.72+4.5=0.72+4.50

.72 x=5.22

x=\frac{5.22}{0.72} =\frac{522}{72} =\frac{29}{4} =7\frac{1}{4}

4 0
3 years ago
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