Answer:
x=4.8
This here you use Pythagorean Theorem.
Step-by-step explanation:
a^2+b^2=c^2
The longest side is c. And the two legs are a and b.
So it'd be 11^2+x^2=12^2
121+x^2=144
Subtract 121 from both sides.
x^2=23
Then take the √ of x^2 and 23
So √x^2=√23
x=4.8
Hope this helps
Answer:
4
Step-by-step explanation:
3x² + 2x - 4
3(-2)² + 2(-2) - 4
3(4) - 4 - 4
12 - 4 - 4
12 - 8
= 4
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
120 Vials
Step-by-step explanation:
160/1and1/3
160/4over3
Multiply top by 3
480/4
120
Angle B corresponds to ANGLE E.
You can simply tell by looking at the letters that are arranged.
ΔA<u>B</u>C = ΔD<u>E</u>F
Hope this helps