Answer:
the greatest common factor is 50
Step-by-step explanation:
200 = 2 × 2 × 2 × 5 × 5 Find the prime factorization of 1650
1650 = 2 × 3 × 5 × 5 × 11 To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 5 × 5GCF = 50
Answer:
yes
Step-by-step explanation:
divide each by 7 =
21/7 = 3
28/7 =4
35/7 = 5
3,4,5 are always a perfect triple, and multiples of 345 are perfect triples as well. Therefore, they are sides of a right triangle.
Answer:
The probability that the diagnosis is correct is 0.95249.
Step-by-step explanation:
We are given that the American Diabetes Association estimates that 8.3% of people in the United States have diabetes.
Suppose that a medical lab has developed a simple diagnostic test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it.
Let the probability that people in the United States have diabetes = P(D) = 0.083.
So, the probability that people in the United States do not have diabetes = P(D') = 1 - P(D) = 1 - 0.083 = 0.917
Also, let A = <u><em>event that the diagnostic test is accurate</em></u>
So, the probability that a simple diagnostic test for diabetes is accurate for people who have the disease = P(A/D) = 0.98
And the probability that a simple diagnostic test for diabetes is accurate for people who do not have the disease = P(A/D') = 0.95
<u>Now, the probability that the diagnosis is correct is given by; </u>
Probability = P(D)
P(A/D) + P(D')
P(A/D')
= (0.083
0.98) + (0.917
0.95)
= 0.08134 + 0.87115
= 0.95249
Hence, the probability that the diagnosis is correct is 0.95249.
The answer is 1/4 x - 3 = 12
Answer:
(x+3)⁴
Step-by-step explanation:
(1)x⁴
+
(4)x³.3
+
(6)x²3²
+
(4)x 3³
+
(1)3⁴
= x⁴+ 12x³+ 54x² + 108x + 81