Answer: 
<u>Step-by-step explanation:</u>
x - 2 = -4y → x = 2 - 4y
3x + 2y = 11
3(2 - 4y) + 2y = 11 <em>replaced "x" with (2 - 4y)</em>
6 - 12y + 2y = 11 <em>distributed "3" on left side</em>
<em> </em>6 - 10y = 11 <em>added like terms (-12y + 2y)</em>
- 10y = 5 <em>subtracted "6" from both sides</em>
y 
<em>divided both sides by -10</em>
Next, solve for x:
x = 2 - 4y
= 2 + 2
= 4
Answer:
Rewrite in standard form to find the center
Radius:
1
Step-by-step explanation:
uuuuuuuuh.
Answer:
0.97547
Step-by-step explanation:
Given That:
Mean (m) = 102
Standard deviation (σ) = 12
Sample size (n) = 63
Probability that sample mean would differ from Population mean by less than 3.4 watts
P(m - s < X < m + s)
P(102 - 3.4 < Z < 102 + 3.4)
Using the Z formula :
Zscore = (x - m) / (σ/√n)
x = 102 - 3.4 = 98.6 ; x = 102 + 3.4 = 105.4
Z = (98.6 - 102) / (12/√63) = −2.248888
P(Z < - 2.2488) = 0.012263 (Z probability calculator)
Z = (105.4 - 102) / (12/√63) = 2.2488886
P(Z < 2.2488) = 0.98774 (Z probability calculator)
0.98774 - 0.012263 = 0.97547
Answer:
9/16 <fraction 0.5625 <decimal 56.25%
Step-by-step explanation:
