Answer:
1.5 or -5
Step-by-step explanation:
2x²+7x-15=0
Divide by 2:
x²+7x/2-15/2=0
x=-7/2/2 ± √49/4(4)+15/2
=-7/4 ± √49/16+120/16
=-7/4± √169/16=-7/4 ±13/4
=6/4 or -20/4
=1.5 or -5
To evaluate the expression shown:
we begin by evaluating the numerator:
0.6+2.4(3-0.7×5/7)-7÷3 1/2
re-writing in proper fractions we get:
0.6+2.4(3-0.7×5/7)-7÷7/2
working out the parenthesis we get:
0.6+2.4(3-0.5)-7÷7/2
simplifying the above we get:
0.6+2.4(2.5)-7×2/7
=0.6+6-2
=4.6
working out the denominator we obtain:
5 1/4×4-(5.9-2.7÷9/11)×2 1/2
rewriting in proper fraction we get:
21/4×4-(5.9-2.7÷9/11)×5/2
working out the parenthesis:
21/4×4-(5.9-2.7×11/9)×5/2
=21-(5.9-3.3)×5/2
simplifying gives us:
21-(2.6×5/2)
=21-6.5
=14.5
thus putting back the expression we get:
4.6/14.5
=46/145
Answer:
y = 2x - 3
Step-by-step explanation:
x + 2y = 4
2y = -x + 4
y = -1/2x + 2
1 = 2(2) + b
1 = 4 + b
-3 = b
y = 2x - 3
Point estimate (average) = $750
Standard deviation = $85
P(X>$825) = ?
Z = (X-mean)/Standard deviation = (825-750)/85 ≈ 0.88
From Z-table, P(X=825) = 0.8106
Therefore,
P(X>$825) = 1 - P(X=$825) = 1-0.8106 = 0.1894 = 18.94%
Percentage of teachers earning more than $825 is 18.94%.
Answer:
Inverse Property
Step-by-step explanation:
This property is inverse property with respect to addition.
E.g.
If x=y and z= -y
Then,
x+z = 0
