Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.

Margin of error : E= 0.03

We know that the z-value for 95% confidence = $z_c=1.96$

Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.

We assume p = 0.5

Then by Central Limit Theorem , the required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.5(1-0.5)(\dfrac{1.96}{0.03})^2$

Simply , we get

$n=1067.11111111\approx1068$ [Rounded to the next whole number.]

Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068

5 0

4 years ago

Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions.

Elanso [62]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=x^{3}-5x^{2}+5x-1$

using a graphing tool

see the attached figure

The local maximum is the point $(0.61.0.42)$

The local minimum is the point $(2.72,-4.27)$

The zeros of the function are $(0.27,0)$ , $(1,0)$ , $(3.73,0)$

6 0

4 years ago

Find the value of the variable and GH if H is between G and I. <br> GI = 5b + 2, HI = 4b – 5, HI = 3

mixas84 [53]

Answer:

Part 1) b=2

Part 2) GH=9 units

Step-by-step explanation:

we know that

If H is between G and I

then

$GI=GH+HI$ -----> by addition segment postulate

Solve for GH

$GH=GI-HI$ -----> equation A

step 1

Find out the value of b

we have

$HI=4b-5\\HI=3$

equate the equations

$4b-5=3$

solve for b

adds 5 both sides

$4b=8$

Divide by 4 both sides

$b=2$

step 2

Find out the value of GH

$GH=GI-HI$

substitute the values

$GH=5b+2-3$

$GH=5b-1$

substitute the value of b

$GH=5(2)-1=9\ units$

6 0

3 years ago

My friend and I have different calling plans. Mine has a monthly fee of $10 and $0.08 per minute charge. My friend pays $0.06 a

loris [4]

difference is monthly customer fee= 15-10 = $5

difference in minutely charge = 0.08-0.06 = $0.02

minutes it takes for plans to cost same amount= 5÷0.02 = 250 min

7 0

4 years ago