Answer
Step-by-step explanation find the roots of the equation by solving for x
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces = sqrt(1^2 + 0.75^2) = 1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 = 0.9375 cm^2
There are 8 of these so the required surface area = 8 * 0.9375
= 7.5 cm^2 Answer
Answer:
31 in sq
Step-by-step explanation:
The interior shape is inside the exterior shape
first get the area of the big shape
9 times 15 = 135 in sq
now get the area of the interior shape:
8 times 13 = 104 in sq
now subtract interior shape from exterior
135 - 104 = 31 in sq
that's the shaded part
Answer:
<em>8</em><em>0</em><em>$</em><em>-</em><em>1</em><em>0</em><em>0</em><em>%</em>
<em>x-20%</em>
<em>2</em><em>0</em><em>•</em><em>8</em><em>0</em><em>/</em><em>100=</em><em>1</em><em>6</em><em>$</em>
Answer: a. 0.05
b. 0.40
c. 0.85
Step-by-step explanation:
Let F= Event that a certain motorist must stop at the first signal.
S = Event that a certain motorist must stop at the second signal.
As per given,
P(F) = 0.45 , P(S) = 0.5 and P(F or S) = 0.9
a. Using general probability formula:
P(F and S) =P(F) + P(S)- P(F or S)
= 0.45+0.5-0.9
= 0.05
∴ the probability that he must stop at both signals = 0.05
b. Required probability = P(F but (not s)) = P(F) - P(F and S)
= 0.45-0.05= 0.40
∴ the probability that he must stop at the first signal but not at the second one =0.40
c. Required probability = P(exactly one)= P(F or S) - P(F and S)
= 0.9-0.05
= 0.85
∴ the probability that he must stop at exactly one signal = 0.85
