Answer: About 99.7% of sixth-grade students will have
heights between <u>51.1</u> inches and <u>64.9</u> inches.
Step-by-step explanation:
According to the empirical rule, 99.7% of data falls within the three standard deviations from the mean.
Given : Mean: 
Standard deviation:= 
Then, the 99.7% of sixth-grade students will have heights between
inches and
inches
i.e.
inches and
inches
i.e. 51.1 inches and 64.9 inches.
The slope will always be next to X when the equation is in slope intersect form (y=mx+b). So the slope in that equation is -1/2.
<A +<B + < C =180° ==>(5x+6) + (2x+1) + (6x+4) = 180°
13x = 180°-11° ==> 13x 169° and x =169/13 =13°
Call the mystery number of years ' Y ' .
In 'y' years, Mr. Jacobs will be (55+y), and tony will be (7+y).
You said that Mr. Jacobs will then be 4 times as old as tony, so . . .
55 + y = 4 (7 + y)
Eliminate the parentheses: 55 + y = 28 + 4y
Subtract 28 from each side: 27 + y = 4y
Subtract 'y' from each side: 27 = 3y
Divide each side by 3 : 9 = y
In 9 years, Mr Jacobs will be (55 + 9) = 64.
In 9 years, tony will be (7 + 9) = 16.
64 is 4 times 16, and now that tony has turned 16,
he can start spelling his name with a capital ' T ',
like a regular grown-up.