Answer:
Should look like this
Step-by-step explanation:
y-intercept = 2
slope = 1
Answer:
A ≈ 183 cm²
Step-by-step explanation:
Step 1: Find the area of the 2 circles
A = πr²
r = 6/2 = 3
A = π(3)²
A = 9π
Since there are <em>2</em> circles, 9π(2) = 18π
Step 2: Find area of <em>entire </em>rectangle
A = lw
A = 12(20)
A = 240
Step 3: Subtract the area of the circles from the area of the entire rectangle
240 - 18π
Shaded area = 183.451 cm²
And we have our answer!
Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
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.