Answer:
x = 2, y =7
Step-by-step explanation:
4x - 2y = -6
-6x + 2y = 2
Add the equations together
4x - 2y = -6
-6x + 2y = 2
-----------------------
-2x = -4
Divide each side by -2
-2x/-2 = -4/-2
x = 2
now find y
-6x+2y =2
-6(2) +2y =2
-12+2y =2
Add 12 to each side
-12+12+2y = 2+12
2y =14
Divide by 2
2y/2 =14/2
y =7
Answer:
0.23
Step-by-step explanation:
Given the data:
____(x) __(y)__(x - m1) /s1 ___(y-m2) /s2
1 ___6 ___8__ - 0.2 _______0.625
2 __5 ___ 5__ - 0.7________ - 1.25
3 __9____6__ 1.3 ________ - 0.625
4__ 4____ 7__ - 1.2 ______ 0
5__ 8 ____9 _ 0.8 _______ 1.25
For English :
Mean score(m1) = 6.4
Standard deviation (s1) = 2.0
For Science :
Mean score (m2) = 7.0
Standard deviation (s2) = 1.6
n = number of observations = 5
Correlation Coefficient (r) :
r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]
(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375
r = 0.9375/(5-1)
= 0.234
= 0.23
In this case, the complement would be selecting a number less than or equal to 7; the probability of this occurring is 
Answer:
Step-by-step explanation:
Area of trapezium = 
h ---> altitude.
a and b are the parallel sides of the trapezium.
They can travel roughly 110 miles for 5 gallons of gas.
