I think the answer is 15.6
Answer:
a = 16, b = 6, c = - 4, d = - 9
Step-by-step explanation:
Substitute the appropriate values of x into the equation and evaluate.
x = - 3 : y = 1 - 5(- 3) = 1 + 15 = 16 → a
x = - 1 : y = 1 - 5(- 1) = 1 + 5 = 6 → b
x = 1 : y = 1 - 5(1) = 1 - 5 = - 4 → c
x = 2 : y = 1 - 5(2) = 1 - 10 = - 9 → d
Answer:
jenny got 15 pair of shoes
her bro got 10 pairs of shoes
Step-by-step explanation:
Isolate the x. Subtract 3x from both sides, and add 4 to both sides
-2x (-3x) - 4 (+4) < 3x (-3x) + 21 (+4)
-2x - 3x < 21 + 4
Simplify. Combine like terms
-5x < 25
Isolate the x. Divide -5 from both sides (remember to flip the sign).
-5x/-5 < 25/-5
x > 25/-5
x > -5
x > -5 is your answer
hope this helps
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
