Answer:
16c+7d
Step-by-step explanation:4(4c+2d)-d
16c+8d-d
16c+7d
Answer:
a) 2.5 shots
b) 59.4 shots
c) 4.87 shots
Step-by-step explanation:
Probability of making the shot = 0.6
Probability of missing the shot = 0.4
a) The expected number of shots until the player misses is given by:
The expected number of shots until the first miss is 2.5
b) The expected number of shots made in 99 attempts is:
He is expected to make 59.4 shots
c) Let "p" be the proportion shots that the player make, the standard deviation for n = 99 shots is:
The standard deviation is 4.87 shots.
The scenarios which matches the equation given are scenarios 3 and 4
Scenario 1 :
Let :
Cost of hamburger = x
Number of hamburgers = 1
Cost of Burritos = y
Number of burritos = 5
Amount spent on soda = $20
Total cost = $20
x + 5y + 2 = 20
Scenario 2 :
Price per shirt = x
2 shirts = x
A pair of shirt = x
5 pairs = 5x
Total Amount spent = $20
Additional amount spent = $2
x + 5x = $20 + $2
x + 5x = 22
Scenario 3 :
Amount spent per person = x
Amount spent on Sunday (2 persons) = 2x
Amout spent on Monday = number of plays × 2x = 5(2x)
Shoe rental = $2
Total Amout spent = $20
Equation : 2x + 5(2x) + 2 = 20
Scenario 4 :
Let :
Cost per diamond = x
Cost of 2 diamonds = 2x
Cost of gem = 5 times the cost of 2 diamonds = 5(2x)
Tax paid = $2
Total amount spent = $20
Equation : 2x + 5(2x) + 2 = 20
Hence, only scenario 3 and 4 matches the equation.
Learn more : brainly.com/question/18796573
Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3