Answer: its B because it does not pass the vertical line test
10,11,15 is not right triangle
30,40,50 is right triangle
9,13,16 is not right angel
16,30,34 is right triangle
Answer:
150
Step-by-step explanation:
A=B*H/2
A=15*20/2
A=300/2
A=150
Ignore the hypotenuse btw
The description expresses three points which can be used for a standard form equation. The vertex is stated to be (0,0) and is a maximum; two other points are (-21,-74) and (21,-74)
The equation for vertex form of a parabola:
y=a(x-h)^2+k
vertex (h,k)
thus our equation will be:
y=a(x-0)^2+0
thus
y=ax^2
using one of the points, the value of a will be:
-74=a(21)^2
a=-74/441
thus the equation will be:
y=-74/441x²
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
