Answer:
1) l=15 2) w=10
Step-by-step explanation:
l=w+5, 2l+2w=50
2(w+5)+2w=50
4w+10=50
w=10, l=15
Answer:
Yes
Step-by-step explanation:
Since the triangles have two congruent angles, the third angle is also congruent.
The sides of one triangle are proportional to the corresponding sides of the other triangle.
Answer:
53
Step-by-step explanation:
The expression is ;
8- (m/n) + p2
8- (8/2) +(7)square
8 -4 +49=53
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.
