We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4
Answer:
y=12/5 (in decimal notation y=2.4)
Step-by-step explanation:
the value of 7y-2 = 10 more than 2y
7y-2 = 10+2y
7y-2y = 10+2
5y = 12
y = 12/5
y = 2.4
Simplify
4ax+12-3ax=25+3a
ax+12=25+3a
ax-3a=25-12
a(x-3)=13
Answer:
The value of x that makes the equation true is 3
Explanation:
From the attached image;
Let us write the mathematical equation of the model.
The long bar means x, while the small squares have a value of 1 each.
solving the equation we have;
Therefore, the value of x that makes the equation true is 3
Answer:
The 99% confidence interval = (126.93,157.67)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × Standard deviation /√n
Mean = 142. 3 mmHg
Standard deviation = 20.8 mmHg.
n = 12
Z score for 99% confidence interval = 2.56
Confidence Interval =
142.3 ± 2.56 × 20.8/√12
142.3 ± 2.56 × 6.0044427996
142.3 ± 15.371373567
Confidence Interval
= 142.3 - 15.371373567
= 126.92862643
≈ 126.93
142.3 + 15.371373567
= 157.67137357
≈ 157.67
Therefore, the 99% confidence interval = (126.93,157.67)
