Answer:
32a-18
Step-by-step explanation:
add together the side lengths:
10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18
Step-by-step explanation:
the general vertex form is
y = a(x - h)² + k
with (h, k) being the vertex of the curve.
after doing all the multiplications we get
y = a(x² - 2hx + h²) + k = ax² - 2ahx + ah² + k
now we have
y = x² + 24x + 124
and we can compare
ax² = x²
a = 1
-2ahx = -2hx = 24x
-2h = 24
h = 24/-2 = -12
ah² + k = 124
(-12)² + k = 124
144 + k = 124
k = -20
so, the vertex form is
y = (x + 12)² - 20
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)
