In the visit to the Old Folks' Home last weekend, Alice spent time chatting with Mr Han and helping him with simple chores. She
1 answer:
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Answer:
a) 0.964
b) 0.500
c) 0.885
d)
e) 0.997
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 30000
Standard Deviation, σ = 1500
We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.
Formula:
a) P(attendance is greater than 27,300)
P(x > 27300)
Calculation the value from standard normal z table, we have,
b) P(attendance greater than or equal to 30000)
Calculating the value from the standard normal table we have,
c) P(attendance between 27000 and 32000)
e) P(attendance less than 33000)
P(x < 33000)
Calculating the value from the standard normal table we have,
P(x < 33000) = 0.997 = 99.7%
d) We have to find x such that:
Calculating the value from the standard normal table we have,
P(z = 1.645) = 0.95
Thus,
The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.
Answer:
y = x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 1 ← is in slope- intercept form
with slope m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, thus
y = x + c ← is the partial equation of the perpendicular line
To find c substitute (6, 3) into the partial equation
3 = 2 + c ⇒ c = 3 - 2 = 1
y = x + 1 ← equation of perpendicular line