Answer:
5x+5y
Step-by-step explanation:
Answer:
The PERIMETER P is the distance around the rectangle.
Let's call the width of the rectangle W and the length of the rectangle L.
As you go around the edge there two equal lengths and two equal widths.
The formula for the perimeter of a rectangle is P=2*L+2*W.
P=2L%2B2W
Substitute 290 for P and 62 for the width.
290=2L%2B2%2862%29
Solve for L.
290=2L%2B2%2862%29
290=2L%2B124
290-124=2L
2L=166
L=83
The equation L=83 means that the length is 83 cm.
CHECK your work.
2(62)+2(83) = 124+166 = 290cm.
The length of the rectangle is 83cm.
Answer:
1/1.3.
HOEFULLY. THAT. IS. CORRECT
Answer:
If a vertical line intersects the graph in all places at only one point, then the relation is a function.
If a vertical line intersects the graph in some places at more than one point, then the relation is NOT a function.
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
![P(\hat{p}](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3Cp%29%20%3D%20P%28Z%3C%5Chat%7Bp%7D%20-%20%5Cfrac%7Bp%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%20%20%7D%20%29)
So,
![(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )](https://tex.z-dn.net/?f=%28P%28%5Chat%7Bp%7D%3E0.743%29%20%3D%20P%28Z%3E0.743%20-%20%5Cfrac%7B0.74%7D%7B%5Csqrt%7B%5Cfrac%7B0.74%281-0.74%29%7D%7B81%7D%20%7D%20%20%7D%20%29)
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.