Answer:
23+5y=23x +5
5y=23x-18
y=23/5x - 18/5
<u>y--7=</u>23/5
x-6
5y+35=23x-138
5y=23x-203
y=23/5x -203/5
Step-by-step explanation:
The confidence interval is given by the formula:
m +/- z·(σ/√n)
First, compute the mean:
m = (<span>15.8 + 15.6 + 15.1 + 15.2 + 15.1 + 15.5 + 15.9 + 15.5) / 8
= 15.463
Then, compute the standard deviation:
</span>σ = √[∑(v - m)²/n]
= 0.287
The z-score for a 95% confidence interval is z = 1.96.
Now you can calculate:
m + z·(σ/√n) = 15.463 + 1.96·(0.287/√8)
= 15.463 + 0.199
= 15.662
m - z·(σ/√n) = 15.463 - 1.96·(0.287/√8)
= 15.463 - 0.199
= 15.264
Therefore the confidence interval is (15.264, <span>15.662) and the correct answer is E) none of the above.</span>
Answer:
1. 
2. <u>Given</u>
3. 
4. <u>Side-Side-Side (SSS) rule of congruency</u>
Step-by-step explanation:
The two column proof is presented as follows;
Statement 
Reason
1. 
≅ Given
2. 
≅ 
<u>Given</u>
3. ≅ Reflexive property
4. ΔRST ≅ ΔTUR <u>SSS rule of congruency</u>
The Side-Side-Side rule of congruency states that if three sides of one triangle are congruent to three sides of another triangle then both triangles are congruent.
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
