Answer:
-6
Step-by-step explanation:
= -3 × -3
-3 × -3 = 9
7 × -3 =-21
9 - 21 +6 = -6
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
Answer:
a. 1.13 s
b. 30.25 ft
Step-by-step explanation:
Both questions can be answered by putting the equation into vertex form.
h = -16(t^2 -9/4t) +10 . . . . factor the leading coefficient from the t terms
Complete the square by adding the square of half the t coefficient inside parentheses and the opposite of the same amount outside parentheses.
h = -16(t^2 -9/4t +81/64) +10 +81/4
h = -16(t -1.125)^2 + 30.25
This tells us the vertex of the height curve is at (t, h) = (1.125, 30.25), which rounds to ...
- t = 1.13 seconds
- h = 30.25 feet
The arc mCAD is 288.
Given: DAB and DCB are right angles; <span>BDC = 54°
Required: arc </span><span>mCAD
Solution:
(2 x 54</span>°) + (2 x 54°) + (2 x 36°<span>) = 288
Note: in getting 36</span>°, deduct 54° and 90° (right angle) from 180° (which is the total degrees inside a triangle)
= 180° - 54° - 90°
= 36° - this is the angle CBD or angle ABD