Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Answer:
- Percent increase in dollar = $1,711
- Total in account = $7,511
Step-by-step explanation:
The money in the account had increased by 29.5%.
This increase in dollars is:
= Amount in account * percentage increase
= 5,800 * 29.5%
= 5,800 * 0.295
= $1,711
The total in his account was therefore:
= Amount invested + increase
= 5,800 + 1,711
= $7,511
Answer:
(10, 5 )
Step-by-step explanation:
To determine which points lie on the graph or not.
Substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then the point is on the graph.
(2, 7 )
y = 2 + 5 = 7 ← True thus point is on the graph
(6, 11 )
y = 6 + 5 = 11 ← True thus point is on the graph
(220, 225 )
y = 220 + 5 = 225 ← True thus point is on the graph
(10, 5 )
y = 10 + 5 = 15 ≠ 5 ← Point is not on the graph
Answer:
A
Step-by-step explanation:
Answer:
11 pieces
Step-by-step explanation:
The greatest common divisor of 40 and 70 is 10. If each ribbon is cut into 10 cm pieces, there will be 4 pieces from the first ribbon, and 7 pieces from the second ribbon. The total number of pieces will be ...
4 + 7 = 11 pieces