Answer:
<em>Y = -4/3</em>
Step-by-step explanation:
Subtract 1 from -1/3.
Y = -1/3 - 1
Y = -1/3 - 3/3
Y = -4/3
Answer:
Step-by-step explanation:
Let x be the random variable. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 474
σ = 32
x = 514
The probability of being below 514 is expressed as P(x < 514)
For x = 514,
z = (514 - 474)/32 = 1.25
Looking at the normal distribution table, the probability value corresponding to area below the z score is 0.89
Therefore,
P(x < 514) = 0.89
Answer: the longest side of a triangle is always the opposite side of the largest angle
Step-by-step explanation:
Line segment DF ☺️
The difference between the length of arc BD and CE is 1.57 units
<h3>Length of an arc</h3>
length of arc = ∅ / 360 × 2πr
where
- r = radius
- ∅ = central angle
Therefore,
BD = 45 / 360 × 2 × 3.14 × 6 = 1695.6 / 360 = 4.71 units
CE = 45 / 360 × 2 × 3.14 × 8 = 2260.8 / 360 = 6.28 units
Therefore, the difference between the length of arc BD and CE is as follows:
6.28 - 4.71 = 1.57 units
learn more on length of arc here: brainly.com/question/3984590
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