Which of the following conjectures is false?Please give a counterexample!Thank youuu
1 answer:
Which of the following conjectures is false?
Solution: The false conjecture is:
J. The sum of two odd numbers is odd
Explanation:
F. The product of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The product of two even numbers is:
Therefore, the product is also even number. Hence the conjecture is true.
G. The sum of two even numbers is even.
For example: Let us take two even numbers 4 and 6.
The sum of two even numbers is:
Therefore, the sum is also even number. Hence the conjecture is true.
H. The product of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The product of two odd numbers is:
Therefore, the product is also odd number. Hence the conjecture is true.
J. The sum of two odd numbers is odd.
For example: Let us take two odd numbers 3 and 5.
The sum of two odd numbers is:
Therefore, the sum is not an odd number. Hence the conjecture is false.
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Answer:
∠A ≅ <em>T</em>
<em>O</em> ≅ ∠R
∠G ≅ <em>N</em>
NO ≅ <em>GR</em>
<em>NA</em> ≅ GT
RT ≅ <em>OA</em>
<em></em>
Step-by-step explanation:
Work shown in picture
Answer:
The proportion of baby boys in the United States that are born with low birth weight is 0.0495.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
3.41 kg with a standard deviation of 0.55 kg.
This means that
What proportion of baby boys in the United States are born with low birth weight?
This is the pvalue of Z when X = 2.5. So
has a pvalue of 0.0495
The proportion of baby boys in the United States that are born with low birth weight is 0.0495.
<u><em>Answer:</em></u>
Area of shaded region = 220.16 ft²
<u><em>Explanation:</em></u>
The diagram associated with this question is shown in the attached image
Unit in diagram is ft, so I'll use this unit in the answer
We are given that a circle with radius 16 ft is inscribed in a square
We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square
<u>This means that:</u>
side length of the square = 2 × radius = 2 × 16 = 32 ft
<u>From the diagram, we can note that:</u>
area of shaded region = area of square - area of circle .............> equation I
<u>1- getting area of square:</u>
Area of a square is the square of its side length
<u>This means that:</u>
Area of square = (32)² = 1024 ft²
<u>2- getting the area of the circle:</u>
Area of circle = πr² = 3.14 × (16)² = 803.84 ft²
<u>3- getting area of shaded region:</u>
<u>Use equation I</u>
area of shaded region = area of square - area of circle
area of shaded region = 1024 - 803.84 = 220.16 ft²
Hope this helps :)
