Same strategy as before: transform <em>X</em> ∼ Normal(76.0, 12.5) to <em>Z</em> ∼ Normal(0, 1) via
<em>Z</em> = (<em>X</em> - <em>µ</em>) / <em>σ</em> ↔ <em>X</em> = <em>µ</em> + <em>σ</em> <em>Z</em>
where <em>µ</em> is the mean and <em>σ</em> is the standard deviation of <em>X</em>.
P(<em>X</em> < 79) = P((<em>X</em> - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(<em>Z</em> < 0.24)
… ≈ 0.5948
Answer:
You will use the z score to find this so need a z score chart.
Step-by-step explanation: Remember to take what you want (35 ounce) minus the mean( 29) then divide by the standard deviation(4). Then you look up this number on the z score chart to find your probability of less than 35 ounces. You could then do the same thing using 34 ounces since your final answer will be between these two numbers.
Answer:
<h2>
43.4° and 46.6°</h2>
Step-by-step explanation:
x - measure of angle
x + 3.2° - measure of its complementary angle
Complementary angles adds to 90°
x + x + 3.2° = 90°
2x = 90° - 3.2°
2x = 86.8°
x = 86.8°÷2
x = 43.4°
x+3.2° = 43.4° + 3.2° = 46.6°
Answer:
x=2
ab=7
bc=5
Step-by-step explanation:
because you do
2x+3 = 4x+3
-3 -3
2x=4x
-2x -2x
x = 2
2x2+3
4+3
=7
4x2-3
8-3
=5
Answer:
$25.08
Step-by-step explanation:
48/2= 24(50% of 100% simplifies to 1/2)
24(0.045)=1.08
24 + 1.08 = 25.08
