Answer:
P [ K > 3.95] = 0.5633
Step-by-step explanation:
The interpretation of the given question goes thus;
Suppose that K is a random variable
P[-3.95 ≤ K ≤ 3.95] = 0.725
where; P [ + 3.95 < K ] = P [K < - 3.95]
P[K< 3.95] - P [K > - 3.95] =0.725
P [K < 3.95] - [ 1- P[K < 3.95]] = 0.725
P[k < 3.95] - 1 + P [ K < 3.95] = 0.725
3.95 P [ K < 3.95] -1 = 0.725
3.95 P [ K < 3.95] = 1.725
P [ K < 3.95] = 1.725/3.95
P [ K < 3.95] = 0.4367
P [ K > 3.95] = 1 - P[K< 3.95]
P [ K > 3.95] = 1 - 0.4367
P [ K > 3.95] = 0.5633
Using the slope-intercept form, the slope is 4
Answer:
Stephanie ran the fastest at 15 feet per second
Step-by-step explanation:
Frank ran the second fastest at 13.2 feet per second because it took him 60 seconds to run 792 feet, and 792/60 = 13.2
Debbie ran the third fastest at 12.08 feet per second because it took her 23 seconds to run 278 feet, and 278/23=12.086
Noah gets last place because it took him 551 seconds to run a mile, or 5280 feet, and 5280/551=9.58 feet per second
Answer:
x=811/238, y=36/119. (811/238, 36/119).
Step-by-step explanation:
4x+(x-y/8)=17
2y+x-(5y+2/4)=2
-----------------------
4x+x-y/8=17
5x-y/8=17
40x-y=136
y=40x-136
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2y+x-5y-2/4=2
2y-5y+x-1/2=2
-3y+x=2+1/2
-3y+x=4/2+1/2
-3y+x=5/2
-3(40x-136)+x=5/2
-120x+408+x=5/2
-119x=5/2-408
-119x=5/2-816/2
-119x=-811/2
119x=811/2
x=(811/2)/119
x=(811/2)(1/119)=811/238
y=40(811/238)-136
y=16220/119-136
y=36/119
x=811/238, y=36/119.
