Answer:
There should be at most 24 lucky numbers in the third bag.
Step-by-step explanation:
Initially, there are 200 numbers. Two bags with 100 each. There are 31+18 = 49 lucky numbers. So there is a 49/200 = 0.245 probability that a randomly selected number from a random bag is the lucky number.
Now with 300 numbers, we want this probability to be lower than 24.5%. So we should solve the following rule of three:
200 - 49
300 - x
With the third bag, the probability will be the same if 73.5-49 = 24.5 lucky numbers are added. So there should be at most 24 lucky numbers in the third bag.
First, subtract:
50 - 3 = 47
Now divide it to 50:
47 / 50 = 0.94
Multiply by 100:
0.94 * 100 = 94%
So the percent decrease from 50 to 3 is 94%.
Answer:
Check the explanation
Step-by-step explanation:
Open file in excel.
Click on Data->Data Analysis and select Regression.
Enter wait time data range in y-variable.
Enter Duration data range in x-variable.
Click ok.
From above output:
#1 The equation of the linear regression line is:
A 95% confidence interval for the slope of the regression line is:
In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is 
Since (for F test) 
, we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.
The correct null and alternative hypotheses for this analysis:
Kindly check the output below
Answer:
4x - 5y - 9 = 0
Step-by-step explanation:
The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by 
⇒ 
⇒ 5y + 25 = 4x + 16
⇒ 4x - 5y - 9 = 0 ....(1) (Answer)
Now, this above equation can be represented as
Therefore, the x-intercept is (Answer)
And the y-intercept is . (Answer)
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
