Answer:
x=26°
Step-by-step explanation:
3x-14+x+90=180
4x-14=90
4x=104
x=104/4
x=26°
Answer:
dimension are 350 m and 350 m and
area is 122500 m²
Step-by-step explanation:
Given data
perimeter is 700 m
to find out
the largest area and its dimensions
solution
we consider x and y are the sides
so area is xy
perimeter is 2x+ y = 700
so we can say y = 700 -2x
so area will be = x (700 - 2x)
area = 700x - 2x²
we take derivative here and equal to zero
dA/dt = 700x - 2x²
700 - 4x = 0
x = 700/4
x = 175
so will be
y = 700 -2x
y = 700 -2(175)
y = 350
so dimension are 350 m and 350m
area is 122500 m²
Answer:
Square with side length 25/4 m
Step-by-step explanation:
The area is always going to be largest for a rectangle when the two dimensions are equal. You are looking for a square. What square has perimeter 25? 4s=25 so the side length of this rectangle (Square) is 25/4 m.
Answer:
the answer is 3
Step-by-step explanation:
Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
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Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.