Answer:
Step-by-step explanation:
1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min
By comparing P(0 ≤ Z ≤ 30)
P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)
Using Table
P(0 ≤ Z ≤ 1) = 0.3413
P(Z > 1) = (0.5 - 0.3413) = 0.1537
∴ P(Z > 45) = 0.1537
2) By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)
P(Z ≤ 15 - 30/15) = P(Z ≤ -1)
Using Table
P(-1 ≤ Z ≤ 0) = 0.3413
P(Z < 1) = (0.5 - 0.3413) = 0.1587
∴ P(Z < 15) = 0.1587
3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)
P(Z ≤ 60 - 30/15) = P(Z ≤ 2)
Using Table
P(0 ≤ Z ≤ 1) = 0.4772
P(Z > 1) = (0.5 - 0.4772) = 0.0228
∴ P(Z > 60) = 0.0228
Answer:
16 1/3
Step-by-step explanation:
add 7 to 42 to get 49, then divide by 3 to get 16 1/3. :)
Answer:
<em>No </em><em>9</em><em>7</em><em> </em><em>is </em><em>not </em><em>an </em><em>irrational </em><em>number </em>
Step-by-step explanation:
Be happy
Morgan should first take the 40% off then apply the $15 coupon
Lets say her total was $150.
If you take the 40% off first, you get $90
150 * .6 = 90 (since you are taking off 40% you are still paying the rest of the 60% so you can just save extra steps by multiplying by .6 and not .4)
Now you subtract 15 from that value.
90 - 15 = 75 If Morgan takes the 40% off first and then applies the $15 dollar coupon, she has to pay $75.
If she applies the $15 coupon first, her total before the 40% is $135
150 - 15 = 135
The total will come out to be $81
$135 * .6 = 81
If Morgan takes the discount first before applying the coupon she has to pay less and saves the most money.
Answer:
16.364 miles
Step-by-step explanation:
Speed of Claire = 6 miles per hour
Speed of Megan= 5 miles per hour
Distance from camp site to out post = 18 miles
Time for Claire to travel=18/6= 3 hours
Time for Megan to travel = 18/5 = 3.6 hours
The time they meet will be equal
Claire distance= 18 + x
Megan distance = 18-x
Claire time =( 18+x)/6
Megan Tim =( 18-x)/5
(18+x)/6 =(18-x)/5
5(18+x)= 6(18-x)
90 +5x = 108-6x
11x=18
X=18/11
X=1.636 Miles
So the distance from the Outpost to where they meet = 18-1.636
= 16.364 miles
