Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
<em>This is a reasonable decision because the sample size has no effect on the 90% confidence interva</em>l
<u>from condition 1 :</u>
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
<u>for condition 2 :</u>
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z
= 2.25 ± 1.645
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
Area of Trapezoid
where B = larger base, b = smaller base, and h = height.
For this trapezoid, you have
B = 10 + 7 + 7 = 24
b = 10
h = 9
Answer:
x ≥ 8
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-36x - 24 ≤ -6(5x + 12)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -6: -36x - 24 ≤ -30x - 72
- Add 36 on both sides: -24 ≤ 6x - 72
- Add 72 on both sides: 48 ≤ 6x
- Divide both sides by 6: 8 ≤ x
- Rewrite: x ≥ 8
Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.