Answer:
y = -6
Step-by-step explanation:
y = mx + b
-6 = -5(0) + b
b = -6
Answer:
14.5 units
Step-by-step explanation:
we need to find the length of the rectangle. To do that, we must find the hypotenuse of the right triangle below the rectangle.
Finding the hypotenuse of a right triangle uses the Pythagorean theorem, or a² + b² = c²
let a be 9 and b be 7.
9² + 7² = c²
81 + 49 = c²
130 = c²
√130 = c
c = approx. 11.4
Now, we know the length of the rectangle.
Once a rectangle is cut diagonally, it forms 2 equal right triangles. We will use the same process to find the hypotenuse of the second right triangle.
9² + 11.4² = c²
81 + 130 = c²
81 + 130 = approx. 211
c² = 211
√211 = c
c = approx. 14.5
Answer: the probability that the tires will fail within three years of the date of purchase is 0.12
Step-by-step explanation:
The average lifetime of a set of tires is 3.4 years. It means that μ = 3.4
Decay parameter, m = 1/3.4 = 0.294
The probability density function is
f(x) = me^-mx
Where x is a continuous random variable representing the time interval of interest(the reliability period that we are testing)
Since x = 3 years,
Therefore, the probability that the tires will fail within three years of the date of purchase is
f(3) = 0.294e^-(0.294 × 3)
f(3) = 0.294e^- 0.882
f(3) = 0.12
Answer:
C.
Step-by-step explanation:
Edge2021
The z is 5
−2⋅<em>z</em>=−8+18
-
2
⋅
z
=
-
8
+
18
Simplify :
−2⋅<em>z</em>=10
-
2
⋅
z
=
10
Dividing by the variable coefficient :
<em>z</em>=−
10
2
z
=
-
10
2
Simplify :
<em>z</em>=−5
z
=
-
5
The solution of equation
2⋅<em>z</em>−18−4⋅<em>z</em>=−8
2
⋅
z
-
18
-
4
⋅
z
=
-
8
is
[−5]