Answer: 6.4 degrees
Step-by-step explanation:
a= 5 degrees temperature difference to the north gives the opposite of the triangle,
b = 4 degrees temperature difference to the west gives the adjacent,
c = temperature difference of 1 mile to the south east gives the hypotenuse.
Therefore,
Using Pythagoras equation,
c² = b² + a²
c = sqrt( 5² + 4²)
c = sqrt(41) = 6.4 degrees
Therefore, there will be 6.4 degrees temperature difference 1 mile to the south east
x² - x - 12 ≠ 0
x² - 4x + 3x - 12 ≠ 0
x (x - 4) + 3 (x - 4) ≠ 0
(x + 3)(x - 4) ≠ 0
x ≠ -3 or x ≠ 4
(B)
Answer:
8.1061
8.209
8.26
8.6
Step-by-step explanation:
The surface area of the cylinder is given by:
S.A=2πr^2+πdl
hence, the s.a of our solid will be:
S.A.=2*π*1^2+π*2*16
=6.283+100.531
=106.814 sq. units
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.
