Step-by-step explanation:
let width = w
if width = w, then length = w + 4
Therefore the perimeter is 2w + 2(w+4)
2w + 2(w+4) = 4w + 8
perimeter = 60cm
4w + 8 = 60
<em>-8</em>
4w = 52
<em>divide each side by 4</em>
w = 13
length = w+4
therefore, length = 17
The quadratic term is 2x^2.
Isolate "x" on one side of the algebraic equation by dividing the number that appears on the same side of the equation as part of "x."
(4x+28)+(x+19)+(3x+13)=180
8x+60=180( combine like terms)
8x+60-60= 180-60
8x=120
8/8x=120/8
x=15
The missing angles are 88°, 34° and 58°
Answer:
a) 68%; b) 99.5%
Step-by-step explanation:
The empirical rule states that 68% of data falls within 1 standard deviation of the mean; 95% of data falls within 2 standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.
For part a,
We are asked the approximate percentage of women whose platelet counts are within 1 standard deviation of the mean. According to the empirical rule, this is 68%.
For part b,
We are given the endpoints of the interval. The lower endpoint is 181.5; this is 250.8-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is 2 standard deviations away from the mean.
The higher endpoint is 320.1; this is 320.1-181.5 = 138.6 away from the mean. Dividing by the standard deviation, 69.3, we have
138.6/69.3 = 2
This is standard deviations away from the mean.
This means this interval includes about 95% of women.
