Andrew used a pedometer to measure the
1 answer:
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Answer:
a) In the interval of [1980,1983].
b) In the interval of [1991, 1996].
Step-by-step explanation:
Fuel efficiency:
The fuel efficiency, for the cars, in x years after 1980, is given by:
15.9 is the fuel efficiency in 1980.
a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?
From 1980 to:
3.06 = 1980 + 3 = 1983. So
In the interval of [1980,1983].
b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?
From x until 1996.
11.38 = 1980 + 11 = 1991. So
In the interval of [1991, 1996].
Answer:
Step-by-step explanation:
Given that sample size = n=45
mu = 64 and sigma =14
a) Sample mean will follow a normal distribution irrespective of the original distributions provided
i) samples are randomly drawn
ii) samples represent the population
iii) Sample size is sufficiently large
b) Here we have sample std dev=
c)
Pythagoras's theorem provides a simplification of thee relationship between the sides of a right triangle
- The length of the screen is <u>8 cm</u>
- The width of the screen is <u>6 cm</u>
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Reason:
Known parameters:
Length of the diagonal of the television picture, d = 10 cm
Television screen viewing area, A = 48 cm²
Required:
To find the <em>length </em>and <em>width</em> of the screen
Solution:
Let, <em>L</em>, represent the length of the screen, and let <em>W</em> represent the width of the screen
Considering the right triangle formed by the length, <em>L</em>, the width, <em>W</em>, and a line along the diagonal, <em>d, </em> according to <em>Pythagoras's theorem</em>, we have;
d² = L² + W²
The equation for the area of the screen is A = L × W
Plugging in the known values into the two equations above gives;
10² = L² + W²...(1)
48 = L × W...(2)
From equation (2), we have;
...(3)
By substituting the expression for <em>W</em> in equation (3) above into equation (1) gives;
10²·L² = 48² + L²⁺² = 48² + (L²)²
Let <em>X</em> represent <em>L²</em>, we get;
X = L²
10²·X = 48² + X²
X² - 10²·X + 48² = 0
(X - 64)·(X - 36) = 0
∴ X = L² = 64 or 36
- L = √64 = 8, or L = √36 = 6
The longest side is the length, therefore, the length of the screen, L = <u>8 cm</u>
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From , and L = 8, we have;
.
The width of the screen, W = <u>6 cm</u>
Learn more about Pythagoras's theorem here: