Answer:
3/4
Step-by-step explanation:
Make an equation:
5x+12=6x
Use the subtraction property:
x=12
The final answer is that the cost for members and nonmembers will be the same when there have been 12 classes.
Answer:
6x
Step-by-step explanation:
Since 2 sides are equal to 3x-3, multiply 3x-3 by 2.
=6x-6
Subtract 18x+6 - 6x-6
= 12x
Since 2 there are 2 sides missing, 12x divided by 2
=6x
Answer: 99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week
//0.20113,0.20887[/tex]
Step-by-step explanation:
<u>step 1:-</u>
Given sample size n=200
of the 200 employed individuals surveyed 41 responded that they did work at home at least once per week
Population proportion of employed individuals who work at home at least once per week P = ![\frac{x}{n} =\frac{41}{200} =0.205](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bn%7D%20%3D%5Cfrac%7B41%7D%7B200%7D%20%3D0.205)
Q=1-P= 1-0.205 = 0.705
<u>step 2:-</u>
Now ![\sqrt{\frac{P Q}{n} } =\sqrt{\frac{(0.205)(0.705)}{200} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7BP%20Q%7D%7Bn%7D%20%7D%20%3D%5Csqrt%7B%5Cfrac%7B%280.205%29%280.705%29%7D%7B200%7D%20%7D)
=0.0015
<u>step 3:-</u>
<u>Confidence intervals</u>
<u>using formula</u>
![(P - Z_∝} \sqrt{\frac{P Q}{n},} (P + Z_∝} \sqrt{\frac{P Q}{n},](https://tex.z-dn.net/?f=%28P%20%20-%20%20Z_%E2%88%9D%7D%20%5Csqrt%7B%5Cfrac%7BP%20Q%7D%7Bn%7D%2C%7D%20%28P%20%20%2B%20%20Z_%E2%88%9D%7D%20%5Csqrt%7B%5Cfrac%7BP%20Q%7D%7Bn%7D%2C)
![(0.205-2.58(0.0015),0.205+2.58(0.0015)\\0.20113,0.20887](https://tex.z-dn.net/?f=%280.205-2.58%280.0015%29%2C0.205%2B2.58%280.0015%29%3C%2Fp%3E%3Cp%3E%5C%5C0.20113%2C0.20887)
=0.20113,0.20887[/tex]
<u>conclusion:</u>-
99% of confidence interval for the population proportion of employed individuals who work at home at-least once per week
//0.20113,0.20887[/tex]
This is a geometric sequence.
a = 15625,
Common ratio = 6250/15625 = 2500/6250 = 0.4
an for GP = ar^(n - 1)
= 15625*(0.4)^(n - 1)