Answer:
<h2> 157 surveyed adult </h2>
Step-by-step explanation:
IF 22% of 714 surveyed adult made a statement, the actual number of those that made the statement can be gotten by simply evaluating 22% of 714 as shown below;
= 22% of 714
= 22/100 * 714
= (22*714)/100
= 15708/100
= 157.08
≈ 157 surveyed adult
<em>This means that about 157 surveyed adults made the statement. </em>
Answer:
For b), the answer is 105mm
Step-by-step explanation:
(150+60)/2
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.
Answer:
85/140
Step-by-step explanation:
2:5 = 7
140 letters/7=20 each.
2=40 (2*20)
5=100 (5*20)
10/30= Red
75/25=Blue
10+75=85/140
