1/49=x^2 where x is the side of the square
1/49=(1/7)^2, so the side length of the square is 1/7
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
Let Sara weight =x+25
amber wiegh =x
x+25+x=205
x= 90
Sara weight is 90+25= 115
<span>1. </span>When given a raw score, it must be converted
into a z-score (standard score). Raw scores cannot be placed on a normal
distribution curve because they do not have the same means and standard
deviations, but when it is converted into a z-score, the number of standard
deviations above or below the population mean can be measured. The z-scores on
the center are average, the scores on the left are lower than average and the
scores on the right are higher than average.
<span>2. </span>A z-score is a standard score which can be
placed on a normal distribution curve. A z-score indicates the distance of the
standard deviations from the mean (center of the curve).