The general form of an even number is 2n. So, odd number is 2n + 1 and 2n + 3.
Now, we have as the follows,
(2x + 1)(2x + 3) = 323
Or, 4x^2 + 6x + 2x + 3 = 323
Or, 4x^2 + 8x - 320 = 0
Or, x^2 + 2x - 80 = 0
Hence, the quadratic equation established is
![](https://tex.z-dn.net/?f=%20%3Ci%3E)
That's it..
Answer:
895/53 or 16.887 (rounded)
Step-by-step explanation:
3 + 2 * 7 - 60 / 530
(2x7=14) (-60/530= -6/53)
3 + 14 - 6/53
(3 + 14=17)
17 - 6/53
=895/53 or 16.887 (rounded)
The lengths are 40t because. if you add the w up and you get 40
Answer:
![Z_{H0} =1.79](https://tex.z-dn.net/?f=Z_%7BH0%7D%20%3D1.79)
p-value: 0.0367
Decision: Reject H₀
Step-by-step explanation:
Hello!
Hypothesis to test:
H₀:ρ₁-ρ₂=0
H₁:ρ₁-ρ₂>0
The statistic to use to test the difference between two population proportions is the approximation of Z
Z=<u> (^ρ₁-^ρ₂)-(ρ₁-ρ₂) </u> ≈N(0;1)
√ (<u>^ρ₁(1-^ρ₁))/n₁)+(^ρ₂(1-^ρ₂)/n₂))</u>
Z=<u> (0.28-0.15)-0 </u>= 1.79
√ (<u>0.28(1-0.28)/200)+(0.15(1-0.15)/300)</u>
p-value
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
P(Z>1.79)= 0.0367
Conclusion:
Comparing the p-value against the significance level, you can decide to reject the null hypothesis.
I hope you have a SUPER day!