You have to look up in your Z score table.
P( 0.6≤ z≤ 2012) is the probability or area (of the bell shaped curve) between the value of z = 2.212 & z = 0.6.
To that end for z₁ = 2.12 you find an area = 0.9830 and
for z₂ = 0.6 you find an area = 0.7257
Subtract those values z₁ - z₂ = 0.9830 - 0.7257 = 0.2573
and P( 0.6≤ z≤ 2012) = 0.2573 (0r 25.73%)
Answer:
300
Step-by-step explanation:
I = interest earned
P = Principal
R = interest rate
T = Months
plug in all the numbers which would be...
45 = P x 0.03 x 5 *Note that 0.03 is 3% in decimal form
0.03 x 5 = 0.15
45 = P x 0.15
to make the P by itself you have to divide 0.15 to both sides
45/0.15 = 300
P = 300
Answer:
5.25 miles
Step-by-step explanation:
Convert 3/4 to a decimal=
0.75
Then, multiply 0.75 with 7
0.75×7=5.25
David ran 5.25 miles in 7 days
Let L and S represent the weights of large and small boxes, respectively. The problem statement gives rise to two equations:
.. 7L +9S = 273
.. 5L +3S = 141
You can solve these equations various ways. Using "elimination", we can multiply the second equation by 3 and subtract the first equation.
.. 3(5L +3S) -(7L +9S) = 3(141) -(273)
.. 8L = 150
.. L = 150/8 = 18.75
Then we can substitute into either equation to find S. Let's use the second one.
.. 5*18.75 +3S = 141
.. S = (141 -93.75)/3 = 15.75
A large box weighs 18.75 kg; a small box weighs 15.75 kg.
