Answer:
Step-by-step explanation:
price of 1 pen= $ 2
price of 1 pencil= $1
total money spent= $12
Let the number of pen be a and number of pencil be b.
2 a + b = 12 ----------------Equation 1
We have, she bought 3 more pens than pencils
a - b = 3 ------------------ Equation 2
Equation 1 +Equation 2,
2 a + b + a - b = 12 + 3
3a = 15
a = 5
Substituting in equation
5 - b = 3
b = 2
Number pencils Ava bought = 2
Answer:
B is 50° and C is 130°
Step-by-step explanation:
complementary angle
x+x=90°
40°+x=90°
x=90°-40°
x=50°
supplementary angles
x+x=180
50+x=180
x=180-50
x=30°
Answer:
(a) = 40%
(b) = 28%
(c) Expected value = $222,500
Standard deviation = $7,216.88
Step-by-step explanation:
This is a normal distribution with a = 210,000 and b =235,000
(a) The probability that he will get at least $225,000 for the house is:

(b)The probability he will get less than $217,000 is:

(c) The expected value (E) and the standard deviation (S) are:

K is equal to 4 because g(x) is a parrallel line to f(x)
Answer: 8.96 gallons of water
To answer this question you need to multiply the container b: container a ratio with the container a volume.
Since container b has more volume than container a, the ratio should be >1. In this case, the ratio is 100%+12%= 112%
Then the volume of container b is= 112% x 8 gallons= 8.96 gallons