Answer:
a. [ 0.454,0.51]
b. 599.472 ~ 600
Step-by-step explanation:
a)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Mean(x)=410
Sample Size(n)=850
Sample proportion = x/n =0.482
Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]
= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]
= [ 0.454,0.51]
b)
Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)
Z a/2 at 0.05 is = 1.96
Samle Proportion = 0.482
ME = 0.04
n = ( 1.96 / 0.04 )^2 * 0.482*0.518
= 599.472 ~ 600
"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.
"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.
"moving back 5 spaces" is represented by -5 whereas moving forward 5 spaces is +5 or simply 5.
Create equivalent expressions in the equation that all have equal bases.72(3x)=73(2x+1)72(3x)=73(2x+1)Since the bases are the same, then two expressions are only equal if the exponents are also equal.2(3x)=3(2x+1)
Answer:
the answer is- g= 72/d minus f/d
9514 1404 393
Answer:
B, F
Step-by-step explanation:
The volume is the product of the dimensions:
V = LWH
V = (b^2)(3c^2)(2c^1) = (3·2)(b^2)(c^(2+1))
V = 6b^2·c^3 . . . . . matches B
__
For b=3 and c=2, the volume is ...
V = 6(3^2)(2^3) = 6(9)(8)
V = 432 . . . . cubic inches . . . . matches F
