The lcm of 54 and 81 is the smallest positive integer that divides the numbers 54 and 81 without a remainder. Spelled out, it is the least common multiple of 54 and 81
Answer:
The slope is -2/3
Step-by-step explanation:
Pick two points on the graph and use the slope formula.
For example, (2, 0) and (-1, 2) are on the graph.
m = change in y/change in x
= (2 - 0)/(-1 - 2)
= 2/-3
The slope is -2/3
Answer:
No
Step-by-step explanation:
Similar triangles must have the exact same angles
All angles must add to a total of 180° so to find x you can do 85°+64°=149° this means that 149°+x°=180° to find that you can do 180°-149° which equals 31°.
Then you do the same for the second triangle
1. 26°+85°=111°
2. 180°-111°=69°
because 69 and 31 aren't the same number these triangles aren't similar
similar triangles must have all the same angle amounts.
You can divide both by 5:
15/72
Then by 3:
5/24
Answer:
Step-by-step explanation:
We would apply the formula for binomial distribution which is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 18% = 18/100 = 0.18
q = 1 - p = 1 - 0.18
q = 0.82
n = 5
Therefore,
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x = 0) = 5C0 × 0.18^0 × 0.82^(5 - 0)
P(x = 0) = 0.37
P(x = 1) = 5C1 × 0.18^1 × 0.82^(5 - 1)
P(x = 1) = 0.41
P(x = 2) = 5C2 × 0.18^2 × 0.82^(5 - 2)
P(x = 2) = 0.18
Therefore,
P(x ≤ 2) = 0.37 + 0.41 + 0.18 = 0.96
