Answer:
$836.8
Step-by-step explanation:
Average price = mean = $965
Standard deviation, = $100
Given that distribution is approximately normal ;
The least expensive 10% of the laptops :
We Obtain the Zscore that corresponds to P(Z ≤ 0.1) ; this means the least 10% of the laptops ;
From, a normal probability distribution table ;
P(Z ≤ 0.1) = - 1.282
We substitute this into the Zscore formula :
Zscore = (x - mean ) / standard deviation
x = price
-1.282 = (x - 965) / 100
-128.2 = (x - 965)
x = - 128.2 + 965
x = $836.8
Hence, price is $836.8
Answer:
Step-by-step explanation:
Answer:
The equation of the line in slope-intercept form is y = 2x + 6.
Answer:
A 19 inch tv cost $89
Step-by-step explanation:
37 inch tv : 400 = 5x - 45
19 inch tv : x
We have the equation:
5x - 45 = 400
5x = 445
x = 89
Answer: About 99.7% IQ scores falls within 43 and 157.
Step-by-step explanation:
According to the empirical rule , if a data follows normal distribution then about 99.7% of the population lies with in three standard deviations from mean.
Given: IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 19.
Since , the graph of normal distribution is bell-shaped , it mean that IQ scores follow normal distribution.
Then, About 99.7% IQ scores falls within Mean ± 3 (Standard deviation).
i.e. About 99.7% IQ scores falls within 100± 3(19).
i.e. About 99.7% IQ scores falls within 100- 57 and 100+57.
i.e. About 99.7% IQ scores falls within 43 and 157.
Therefore , by empirical rule
About 99.7% IQ scores falls within 43 and 157.
