Isolate the variable by dividing each side by factors that dont contain variables
Answer: x=3
Answer:
3
Step-by-step explanation:
Answer:
$25.25-lasagna, $12.25-garlic bread
Step-by-step explanation:
5L+3G=163
- 4L+4G=150
______________
4(5L+3G=163)
-5(4L+4G=150)
_____________
20L+12G=652
-20L-20G=-750
_____________
-8G=-98
-8G/-8 = -98/-8
G=$12.25
now plug that into G in any of the 2 equations at the top and you can solve for L(price of lasagna)
Answer:
Step-by-step explanation:
Since tan is equal to the opposite over adjacent
Tan(angle G)= HI/IG
Answer:
Yes, both np and n(1-p) are ≥ 10
Mean = 0.12 ; Standard deviation = 0.02004
Yes. There is a less than 5% chance of this happening by random variation. 0.034839
Step-by-step explanation:
Given that :
p = 12% = 0.12 ;
Sample size, n = 263
np = 263 * 0.12 = 31.56
n(1 - p) = 263(1 - 0.12) = 263 * 0.88 = 231.44
According to the central limit theorem, distribution of sample proportion approximately follow normal distribution with mean of p = 0.12 and standard deviation sqrt(p*(1 - p)/n) = sqrt (0.12 *0.88)/n = sqrt(0.0004015) = 0.02004
Z = (x - mean) / standard deviation
x = 22 / 263 = 0.08365
Z = (0.08365 - 0.12) / 0.02004
Z = −1.813872
Z = - 1.814
P(Z < −1.814) = 0.034839 (Z probability calculator)
Yes, it is unusual
0.034 < 0.05 (Hence, There is a less than 5% chance of this happening by random variation.
