Answer:
Beth can make 9 2 1/3 foot steps
Step-by-step explanation:
21/2.3=9.1
round to 9
I'm assuming is the shape parameter and is the scale parameter. Then the PDF is
a. The expectation is
To compute this integral, recall the definition of the Gamma function,
For this particular integral, first integrate by parts, taking
Substitute , so that :
The variance is
The second moment is
Integrate by parts, taking
Substitute again to get
Then the variance is
b. The probability that is
which can be handled with the same substitution used in part (a). We get
c. Same procedure as in (b). We have
and
Then
The equation is $130 + $31.67x = 500
Subtract 130 from both sides $31.67x = $370
Divide $31.67 from both sides
X=11.68
BUT
you can’t have .68 of a day so the answer is 11 days.
13 +13 = 26 for pizza 2 sodas = 3.00. Total bill: $29.00
mamas 15 + 15 = 30 soda= 2. Total bill: $32.00
Answer:
Part 1: [ -4 = -8 ]
Part 2: Inconsistent
Step-by-step explanation:
<u>Part 1</u>
1. Move all terms that don't contain x to the right side:
3x - 6y+6y = -12+6y
= 3x = -12 + 6y
2. Isolate x:
x = -4 + 2y
3. Substitute the new expression into the original:
-4 + 2y - 2y = -8
4. Simplify:
-4 + 0 = -8
[ -4 = -8 ]
<u>Part 2</u>
The two solutions are not equal in value, so, we can conclude that the system of equations has no solution, or is inconsistent.
hope this helps!