Angles ABC and CBD are complementary - they add up to 90°. This means
(4x + 52°) + (8x - 10°) = 90°
Solve for x :
12x + 42° = 90°
12x = 48°
x = 4°
It follows that angle CBD has measure
4 • 4° + 52° = 16° + 52° = 68°
Answer:
a piston chamber in a steam or internal combustion engine.
X+3=6
Subtract 3 from both sides
3-3=0
6-3=3
X=3
Answer:
The amount deducted for Ms.Everett‘s paycheck for her health insurance premium is $307.6
Step-by-step explanation:
given information:
annual insurance = $12304
employer pay annually = 70%
first we calculate the annual insurance paid by the employer
employer paid annual insurance = 70% x $12304
= $8612.8
then, we calculate the insurance paid by Ms. Everett annually
Ms. Everett paid annual insurance = $12304 - $8612.8
= $3691.2
thus, amount is deducted for Ms.Everett‘s paycheck for her health insurance premium
Ms. Everett's paycheck deduct = $3691.2/12
= $307.6
Answer:
a. 385
b. 342
Step-by-step explanation:
To solve the problem we do the following:
The equation to calculate the sample size is:
a)
We have the following data:
Since no estimate of proportion is given, we will assume: p = q = 0.5
We know that For 95% confidence, z = 1.96
Width = 0.10
Hence, the margin of error would be:
0.10 / 2 = 0.05
E = 0.05
And so we can calculate sample size:
n = 385
b)
We have the following data for this point:
p = 2/3
q = 1 - p
q = 1 - 2/3
q = 1/3
And so we can calculate sample size:
n = 342
