Answer:
x =1 x = -7
Step-by-step explanation:
|4x + 12| = 16
Absolute value equations have two solutions, one positive and one negative
4x+12 = 16 4x+12 = -16
Subtract 12 from each side
4x+12-12 = 16-12 4x+12-12 = -16-12
4x =4 4x =-28
Divide by 4
4x/4 = 4/4 4x/4 = -28/4
x =1 x = -7
Answer:
154 inch²
Step-by-step explanation:
Diameter (d) = 14 inches
radius (r) = 14 /2 = 7 inches
Area of a pizza
= πr²
= 22/7 * 7 * 7
= 154 inch ²
.75 is the answer to your question.
Answer:
2.28 %
Step-by-step explanation:
It is stated that battery life distribution is normal. First we need to find out where 65 hour battery life in this distribution falls by finding its z-score. We can use the following formula
z(x)= where
- X the point we are looking to find its z-score, which is 65
- M is the mean of the sample, which is 75
- s is the standard deviation of the sample, which is 5
Replacing these numbers in the formula, z-score of the 65 hour battery life :
z(x)==-2
All the batteries fail within the first 65 months if their z-score is smaller than -2. Or we can state this also as: P(z≤-2) which is 0.0228
Thus 2.28 % of the batteries will fail within the first 65 months of use.