<h2>
Answer:</h2>
Option: D is the correct answer.
The probability is: 0.50
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Step-by-step explanation:</h2>
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
We are asked to find the probability that a person consumes 1500-2000 calories in a day.
Total number of people who were surveyed=500
Total number of people who consume 1500-2000 calories in a day are:250
Hence, Probability is:
250/500=1/2=0.50
Answer:
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
Let:
The distance between these points is equal to:
I don't understand what your asking
Answer:
The polynomial with real coefficients having zeros 2 and 2 - 2i is
x³ - 6x² + 16x - 16 = 0
Step-by-step explanation:
Given that a polynomial has zeros at 2 and 2 - 2i, we want to write this polynomial.
We have
x - 2 = 0
x - (2 - 2i) = 0
=> x - 2 + 2i = 0
Since the polynomial has real coefficients, and 2 - 2i is a zero of the polynomial, the conjugate of 2 - 2i, which is 2 + 2i is also a polynomial.
x - (2 + 2i) = 0
=> x - 2 - 2i = 0
Now,
P(x) = (x - 2)(x - 2 + 2i)(x - 2 - 2i) = 0
= (x - 2)((x - 2)² - (2i)²) = 0
= (x - 2)(x² - 4x + 8) = 0
= x³ - 4x² + 8x - 2x² + 8x - 16 = 0
= x³ - 6x² + 16x - 16 = 0
This is the polynomial required.
Answer:
2nd, 3rd and the last one
