Which one of the following groups of numbers includes all prime numbers? A. 7, 17, 63, 67 B. 3, 11, 23, 31 C. 1, 3, 11, 23 D. 2,
olganol [36]
The prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
A.
7 - is a prime number
17 - is a prime number
63 - is not a prime number because 63 = 3 × 21
B.
3 - is a prime number
11 - is a prime number
23 - is a prime number
31 - is a prime number
C.
1 - is not a prime number
D.
2 - is a prime number
3 - is a prime number
5 - is a prime number
15 - is not a prime number because 15 = 3 × 5
Answer:
<h2> 12÷49</h2>
Step-by-step explanation:
The total number of bags in the bottle = 20 + 15 = 35
Then
the probability that the first bag is blue = 20/35
If we replace the first bag :
the probability that the second (picked) bag is blue = 15/35
Conclusion:
If two bags are picked at random one after the other with replacement
Then
the probability that the first bag is blue and then red is :
(20÷35)×(15÷35)
= (4÷7)×(3÷7)
= 12÷49
= 0.244897959184
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE

Answer:
<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>
Step-by-step explanation:
If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.
We know the a triangular prims has a volume defined by

If we take that formula as the smaller prism, then the larer prism has a volum of

If we compare, we can deduct that

In words, the volume of the larger prims is eight times greater than the smaller prism.
Answer:
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Step-by-step explanation:
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