Answer:
D. Zero
Step-by-step explanation:
A solution is formed when the lines intersect at a
point. The coordinates will then be the solution.
In the diagram shown, the line and curve does not intersect at all so there is no solution to the curve.
Answer:
a) 615
b) 715
c) 344
Step-by-step explanation:
According to the Question,
- Given that, A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams
- Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.
Z = (x - mean)/standard deviation
Now,
For x = 4171, Z = (4171 - 3311)/860 = 1
- P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.
Next, multiply that by the sample size of 732.
- Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171
- For part b, use the same method except x is now 1591.
Z = (1581 - 3311)/860 = -2
- P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.
- For part c, we now need to get two Z scores, one for 3311 and another for 5031.
Z1 = (3311 - 3311)/860 = 0
Z2 = (5031 - 3311)/860= 2
P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772
approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
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<em>Additional comment</em>
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Answer:
3, - 2, - 7, - 12, - 17, - 22
Step-by-step explanation:
To find the first 6 terms substitute n = 1, 2, 3, 4, 5 into the formula, that is
t(1 + 1) = t(1) - 5 ⇒ t(2) = 3 - 5 = - 2
t(2 + 1) = t(2) - 5 ⇒ t(3) = - 2 - 5 = - 7
t(3 + 1) = t(3) - 5 ⇒ t(4) = - 7 - 5 = - 12
t(4 + 1) = t(4) - 5 ⇒ t(5) = - 12 - 5 = - 17
t(5 + 1) = t(5) - 5 ⇒ t(6) = - 17 - 5 = - 22
Answer:
556
Step-by-step explanation:
Because thats the answer
