Answer:
x= 30/7
Step-by-step explanation:
See image below:)
The coordinates of the vertex are (h,k) so we can write:-
f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-
-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3
so the vertex formula is
f(x) = -3(x - 2)^2 - 4
standard form:-
f(x) = -3(x^2 - 4x + 4) - 4
= -3x^2 + 12x - 16
Answer:
(17/8, -1/8)
Step-by-step explanation:
the bottom equation is equivalent to x = 2-y
so I switch the value of x in the top equation to x = 2-y
and it becomes 2*(2-y) - 6y = 5
equal to 4 - 2y - 6y = 5
-8y = 1
y = -1/8
then you substitute this value in the second equation
x + y = 2 becomes x + (-1/8) = 2
x = 2 + 1/8 = 16/8 + 1/8 = 17/8
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.
12 geese left per hour. At 7:30 am there were 18 less geese than there were at 6:00 am. Since there was 1.5 hours between each time, and we know that 2/3 of 1.5 hours is 1 hour, we can solve using this equation:
2/3 * 18 = 12.
