The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y
(14+y)y=1800
14y+y²=1800
y²+14y-1800=0
Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:
y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50
Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
Answer:
Option C. The real effect is 0.1
Step-by-step explanation:
The complete question is
You are interested in the psychological implications of high SES. You read a paper that claims that higher social class people behave more unethically. The paper reports a significant difference in the propensity of high and low SES people behaving unethically. The significance level of this study was 0.05, the ratio of true to false effects in this field is 0.35, but the author was anxious to issue a press release and prepare his TED talk, so power is low, at 0.1. The probability that this study reports a real effect is
A. 0.58
B. 0.95
C. 0.1
D. 0.35
E. 0.41
Solution
Ratio of true to false effects i.e T/F = 0.35
The power of the study indicates the real effect of the study and hence despite the true/false ration being 0.35 and the significance level of study is 0.05, the real effect of the study would be 0.1
Hence option C is correct
Answer:
45600 pounds = 20683.8 kg to the nearest 10th.
Step-by-step explanation:
Consider the provided measurement
1 kg = 2.20462 pounds
1 pound = 0.453592 kg
Multiply both the sides by 45600.
1×45600 pound = 0.453592×45600 kg
45600 pound = 20683.812 kg
Now convert it to the nearest tenths as shown.
45600 pound = 20683.8 kg
Hence, 45600 pounds = 20683.8 kg to the nearest 10th.
First you have to distribute:
4(2) + 4(3)
8+12
20
