X = 25.5 mm.
Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:
8.5/x = 4/12
Cross multiply:
4*x = 8.5*12
4x = 102
Divide both sides by 4:
4x/4 = 102/4
x = 25.5
23- -8
This equals to 31. 31 degrees was the increase
Answer:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
. And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:
Replacing the values provided we got:
And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Answer:
30
Step-by-step explanation:
Thank you! I hope you have a good day :)
Solve x+4y = 13 for x by subtracting 4y from both sides.
We end up with x = -4y+13.
Since x and -4y+13 are the same, we can replace every x in the first equation with -4y+13
2x-3y = -29
2( x ) - 3y = -29
2( -4y+13 ) - 3y = -29 ... x is replaced with -4y+13
The answer is choice B