Answer:
If you construct the perpendicular bisector of a line segment, every point on the perpendicular bisector will be the same distance from both point A and point B.
To construct an isosceles triangle, you can start from any point on the perpendicular bisector and draw line segments to point A and to point B
Answer:
The answer is 97%
Step-by-step explanation:
To answer this problem you need to take the 300 tangerines, it in all that is the 100% so, now you need to take away the 3%, you are left with 97% (I hope i'm correct, sorry if i'm not)
Answer:
250 cookies
Step-by-step explanation:
The employee burns 55 chocolate chip cookies
if this represented 22% of the days production
Let x = the total production of cookies for the day
how many cookies did you plan on producing that day?
22% of x = 55
22 / 100 * x = 55
0.22x = 55
Divide both sides by 0.22
x = 55 / 0.22
= 250
x = 250 cookies
Therefore, the total production of cookies for the day is 250
Using it's concept, it is found that there is a 0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, 40% of the consoles bought are of the Suny Playcom series, and of those, 1% are defective, hence the probability is given by:
p = 0.4 x 0.01 = 0.004
0.004 = 0.4% probability of a game console buyer buying a defective Suny Playcom.
More can be learned about probabilities at brainly.com/question/24808124
#SPJ1
Answer:
Constructive Proof
Step-by-step explanation:
Let x be a positive integer
x must be equal to sum of all positive integers exceeding it
i.e.
x = x + (x - 1) + ( x - 2) + ......... + 2 + 1
Equivalently,
x = ∑i (where i = 1 to x)
The property finite sum;
∑i (i = 1 to x) = x(x + 1)/2
So,
x = x(x + 1)/2 ------- Multiply both sides by 2
2 * x = 2 * x(x + 1)/2
2x = x(x + 1)
2x = x² + x ------- subtract 2x from both sides
2x - 2x = x² + x - 2x
0 = x² + x - 2x ----- Rearrange
x² + x - 2x = 0
x² - x = 0 ------ Factorise
x(x - 1) = 0
So,
x = 0 or x - 1 = 0
x = 0 or x = 1 + 0
x = 0 or x = 1
But x ≠ 0
So, x = 1
The statement is only true for x = 1
This makes sense because 1 is the only positive integer not exceeding 1
1 = 1
It is a Constructive Proof
A proof is constructive when we find an element for which the statement is true.
