Answer:
No, I do not agree with the conjecture because 1 is not a prime number.
Step-by-step explanation:
A prime number is one that can be divided by 1 and itself only. Thus it can be expressed in 2 factors only, 1 and the number itself.
Examples are; 2, 3, 5, 13, 19 , 23 etc.
So, 2 = 1 x 2
3 = 1 x 3
23 = 1 x 23
Prime numbers must be expressed as the product of 1 and the number.
The conjecture that every prime number can be expressed as the product of two prime numbers is false. Because 1 is not a prime number, since it has no 2 factors.
If the original experiment trial was 100 draws the
A. True - Experimental probability of drawing a club is 32%
B. True - Theoretical probability of drawing a diamond is 25%
C. True - Experimental probability of drawing a spade 90 times out of 500 trials
9514 1404 393
Answer:
Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
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Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2