Answer:
Step-by-step explanation:
x^2 + x
x(x + 1)
x is GCF
A triangle has three angles, and their measures add up to 180 degrees.
An isosceles triangle has at least 2 congruent sides, and the angles opposite the congruent sides are congruent.
This triangle has one angle of 40 deg, and two angles that measure the same; call the measure of each base angle x.
x + x + 40 = 180
2x + 40 = 180
2x = 140
x = 70
The base angles measure 70 deg.
Answer:
Angle D equals 80 degrees.
Since both triangles and angles are congruent, you can use triangle ABC to find the measure of CDE.
ABC has to equal 180 degrees so that means that 30 + 70 + <B = 180
add: 100 + <B = 180
Subtract <B = 80
Angle B equals 80 degrees which also means that Angle D equals 80 degrees.
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
