Answer:
a. true b. true
Step-by-step explanation:
<em>(a) If r and s are rational numbers, then (r+s)/2 is rational. </em>
true
rational numbers can be expresed as fractions
let be r=a/b and s=c/d being a,b,c,d integer numbers

d.a=e is an integer number because it's the product of two integers
b.c=f is an integer number because it's the product of two integers
e+f=g is an integer number because it's the sum of two integers
b.d=h is an integer number because it's the product of two integers
2.h=i is an integer number because it's the product of two integers
g/i=j is an integer number because it's the quotient of two integers
then
<em>(b) For all real numbers a and b, if a < b then a < (a+b)/2 < b</em>
true


lets analyze 2a < (a+b)

then 2a < (a+b) is true
lets analyze (a+b) < 2b

then (a+b) < 2b is true
I think it’s is this answer
<span>So, x+15 + 2x = 90 </span><span>
<span>Therefore 3x = 90 - 15 = 75 </span>
<span>and so x=25. </span>
<span>So the smaller angles are x+15 = 40 degrees and
2x=50 degrees. </span>
<span>So the larger one is 50 degrees.</span></span>
Answer:
The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Middle 68% of speeding ticket fines on a highway fall between 93.18 and 118.
This means that 93.18 is one standard deviation below the mean and 118 is one standard deviation above the mean. That is, the difference between 118 and 93.18 is worth two standard deviations. So



The approximate estimate of the standard deviation of the speeding ticket fines is of 12.41.
Answer:30
Step-by-step explanation: each person can you get one Spring roll