3x + 4y = 32....multiply by 5
5x + 5y = 50...multiply by -3
---------------
15x + 20y = 160 (result of multiplying by 5)
-15x - 15y = -150 (result of multiplying by -3)
--------------add
5y = 10
y = 10/5
y = 2
3x + 4y = 32
3x + 4(2) = 32
3x + 8 = 32
3x = 32 - 8
3x = 24
x = 24/3
x = 8
solution (8,2)
The students conclusion is incorrect......it is answer choice 1
Answer:
Option C is right
Step-by-step explanation:
Given are two samples
I group has sample size 90, mean = 9.2 and std dev =0,.37
II group has sample size 70, mean = 7.3 and std dev = 0.58
we find that mean difference i.e. difference between mean hours of sleep between two groups
= 9.2-7.3 = 1.9
Std error for difference = 0.0620
Since sample size is sufficiently large we can use Z critical for 99%
i.e. 2.58
Margin of error =±2.58(0.062)
=0.16
Hence confidence interval 99% for difference in hours of sleep
= (1.9-0.16,1.9+0.16)
=(1.74, 2.06)
Tree...........................dock
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boat
use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2
200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6
There is a 73.5% chance that Nathan is allergic to penicillin and the test predicts it.
75% * 98% = 73.5%
.75 * .98 = .735
Answer:
The value of this inheritance is $78,192.28
Step-by-step explanation:
The monthly payments Sara will receive starting today for next 40 years is $500.
Annual Interest Rate = 7.3%
Monthly Interest Rate = Annual Interest Rate/12
=7.3/12
Monthly Interest Rate = 0.6083%
Present Value = $500 + $500/1.006083 + $500/1.006083^2 + $500/1.006083^3 + ... + $500/1.006083^479
Present Value = $500 * 1.006083 * (1 - (1/1.006083)^480) / 0.006083
Present Value = $500 * 156.39156
Present Value = $78,192.28
Thus, the value of this inheritance is $78,192.28
