Area = length x width
10 X 5 = 50
Answer:
11.886
Step-by-step explanation:
Given :
![log 50^7](https://tex.z-dn.net/?f=log%2050%5E7)
Applying formula
![log a^m=m log a](https://tex.z-dn.net/?f=log%20a%5Em%3Dm%20log%20a)
So,
![7 log 50\\=7(1.698)\\=11.886](https://tex.z-dn.net/?f=7%20log%2050%5C%5C%3D7%281.698%29%5C%5C%3D11.886)
Answer will be 11.886
<span>y^2 + 5y + 6
=</span><span>(y + 2)(y + 3)
----------------------------------</span>
Answer:
Step-by-step explanation:
Hello!
You have two populations of interest and want to compare them. If you define the study variables as:
X₁: average hourly wages of an employee of the Downtown store.
n₁= 25
X[bar]₁= $9
S₁= $2
X₂: average hourly wages of an employee of the North Mall store.
n₂= 20
X[bar]₂= $8
S₂= $1
Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:
95% CI for μ₁ - μ₂
(X[bar]₁-X[bar]₂) ± ![t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )](https://tex.z-dn.net/?f=t_%7Bn_1%2Bn_2-2%3B%201-%5Calpha%20%2F2%7D%20%2A%20%28Sa%2A%5Csqrt%7B%5Cfrac%7B1%7D%7Bn_1%7D%20%2B%5Cfrac%7B1%7D%7Bn_2%7D%20%7D%20%29)
![Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}](https://tex.z-dn.net/?f=Sa%5E2%3D%20%5Cfrac%7B%28n_1-1%29S_1%5E2%2B%28n_2-1%29S_2%5E2%7D%7Bn_1%2Bn_2-2%7D)
![Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67](https://tex.z-dn.net/?f=Sa%5E2%3D%20%5Cfrac%7B24%2A4%2B19%2A1%7D%7B25%2B20-2%7D%3D%202.67)
Sa= 1.64
![t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017](https://tex.z-dn.net/?f=t_%7Bn_1-n_2-2%3B1-%5Calpha%20%2F2%7D%20%3D%20t_%7B43%3B%200.975%7D%20%3D%202.017)
(9-8)±2.017*![(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )](https://tex.z-dn.net/?f=%281.64%2A%5Csqrt%7B%5Cfrac%7B1%7D%7B25%7D%20%2B%5Cfrac%7B1%7D%7B20%7D%20%7D%20%29)
[0.007636;1.9923]
I hope it helps!
Answer:
-30/15 or -2
Step-by-step explanation:
2+8 = 10
3+2 = 5
14-2 = 12
4-1 = 3
10/5 - 12/3
(Find GCF)(GCF = 15)(5 times 3)
30/15 (10/5 times 3)
60/15 (12/3 times 5)
30/15 - 60/15 = -30/15 --> -2(simplified to 2)