Answer:
Step-by-step explanation:
Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,
X is N(10, 6)
Or z =
is N(0,1)
a) P(X > 5),
=
(b) P(4 < X < 16),
=
(c) P(X < 8),
=
(d) P(X < 20),
=
(e) P(X > 16).
=P(Z>-0.6667)
= 0.2524
Answer:
The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches
Step-by-step explanation:
Given as for a Isosceles triangle :
The base of Triangle = 11.25 inches
The sides of triangle meets at 56°
Let the unknown side measure = x inches
From <u>The property of isosceles triangle</u>
The angle opposite to the same side are equal
I.e =
= 56°
So, The third angle = 180° - ( +
)
Or, The third angle = 180° - ( 56° + 56° )
∴ The third angle = 180° - 112° = 68°
Now, From isosceles triangle
Tan 56° =
Or, Tan 56° =
∴ x = 11.25 × Tan 56°
Or, x = 11.25 × 1.482 = 16.672 inches
Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches Answer
Answer:
Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
