Answer: c.97.5 th percentile : $15.50; 2.5 th percentile : $12.50
Step-by-step explanation:
Since the hourly salaries of everyone in the company are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = hourly salaries
µ = mean salary
σ = standard deviation
From the information given,
µ = $14
σ = $0.75
Looking at the normal distribution table, the z score corresponding to the 2.5 th percentile(0.025) is - 1.96
- 1.96 = (x - 14)/0.75
x - 14 = 0.75 × - 1.96 = - 1.47
x = - 1.47 + 14
x = $12.53
Approximately, x = $12.5
Looking at the normal distribution table, the z score corresponding to the 97.5 th percentile(0.975) is 1.96
1.96 = (x - 14)/0.75
x - 14 = 0.75 × 1.96 = 1.47
x = 1.47 + 14
x = $15.47
Approximately, x = $15.5
Answer:
The height of the tree is about 30 feet.
Step-by-step explanation:
tan(55) = h/21
*21 *21
21*tan(55)=h
29.99=h
h=29.99=30 feet
Answer:
Linear Function in standard form
Step-by-step explanation:
Ax + By = C
Answer:
blank = 23/16
Step-by-step explanation:
x + 1/16 = 3/2
so solve for blank(x)
x = 3/2 - 1/16
x = 24/16 -1/16
blank = 23/16
9514 1404 393
Answer:
81°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent. The sum of the two angles at B is the same as the value marked at D.
∠CBD = 139° -58° = 81°
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<em>Additional comment</em>
The angles at A and C are both 41°, the supplement of the one marked 139°.