Answer:
option (d) 16.6 and 21.4
Step-by-step explanation:
Data provided in the question:
The mean life for a particular use before they failed = 19.0 hours
The distribution of the lives approximated a normal distribution
The standard deviation of the distribution = 1.2 hours
To find:
The values between which 95.44 percent of the batteries failed
Now,
In Normal distribution, the approximately 95% ( ≈ 95.44% of all values ) falls within 2 standard deviations of the mean
Therefore,
Upper limit = Mean + 2 × standard deviation
⇒ Upper limit = 19.0 + 2 × 1.2 = 21.4
Lower limit = Mean - 2 × standard deviation
⇒ Lower limit = 19 - 2 × 1.2 = 16.6
Hence,
the answer is option (d) 16.6 and 21.4
$119.85 is the total amount he earned in 2 weeks
He mows his neighbor's lawn each week for $25...So if he mows for 2 weeks it should be
$25×2=$50
Darian gets paid $6.35 an hour to help out at his dad's shop...
Let X be the number of hours Darian worked at his dad's shop in the two weeks
So we can now make an equation to find X
(X×$6.35)+($25×2)=$119.85
(X×$6.35)+$50=$119.85
X×$6.35=$119.85-$50
X×$6.35=$69.85
X=$69.85÷$6.35
X=11
Therefore the number of hours Darian worked at his dad's shop in those two weeks is 11
Answer:
100-5.25x 100-5.25(15)= 22.25
Step-by-step explanation:
The interior angles of a triangle add up to 180
180 - 97 - 34 = 49
150 / Sin 34 = b / Sin 49
multiply both sides by Sin 49
(Sin (49)* 150) / Sin 34 = b
b = 270.39 feet
Answer:
<h2>17</h2>
Step-by-step explanation:
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
