Answer:
Slope is 0
Step-by-step explanation:
(20-20/16-10) which is 0
Use the Chinese remainder theorem.
Start with <em>x</em> = 3×5 + 2×7 = 15 + 14 = 29. Now,
• 29 ≡ 15 ≡ 1 (mod7)
• 29 ≡ 14 ≡ 4 (mod5)
Adjust for this by multiplying the first term in <em>x</em> by 3, and the second term by 3 (because 4×3 ≡ 12 ≡ 2 (mod5)).
So now <em>x</em> = 3×5×3 + 2×7×3 = 45 + 42 = 87, and
• 87 ≡ 45 ≡ 3 (mod7)
• 87 ≡ 42 ≡ 2 (mod5)
The CRT then says that <em>x</em> ≡ 87 (mod(7×5)) ≡ 87 (mod35), which is to say any number <em>x</em> = 87 + 35<em>n</em> satisfies both congruences (where <em>n</em> is any integer).
So there are 3 possible 2-digit numbers that work: {17, 52, 87}.
To confirm:
• 17 ≡ 15 + 2 ≡ 2 (mod5) and 17 ≡ 14 + 3 ≡ 3 (mod7)
• 52 ≡ 50 + 2 ≡ 2 (mod5) and 52 ≡ 49 + 3 ≡ 3 (mod7)
• 87 ≡ 85 + 2 ≡ 2 (mod5) and 87 ≡ 84 + 3 ≡ 3 (mod7)
Answer:
He made a reasonable inference.
Step-by-step explanation:
Rodriguez asked 60 randomly chosen students about their favorite types of reading materials.
Of those 60 students, 12 chose science fiction.
In percent this is about 
%
Mr. Rodriguez drew an inference that about 20% of middle school students prefer to read science fiction.
We can see that this inference is correct. He made a reasonable inference as his sampling was non biased and completely random.
Make a rectangle and split it into 6 equal parts. Example, Joe brought a long ham sandwich split into 6 parts for him and his two friends. If they all want to eat the same amount, how many pieces does each person get?
