Question:
Felicia makes ½ gallon of fruit punch. She pours an equal amount into 8 glasses.
What fraction of a gallon fruit punch is in each glass?
Answer:
The fraction of a gallon fruit punch is in each glass is 1/16
Step-by-step explanation:
Given
Size of fruit punch = ½ gallon
Number of glass = 8
Required
Fraction of a gallon fruit punch is in each glass?
To solve this question, the following assumption has to be made.
- The 8 glass cups are of equal sizes.
Having said that;
The interpretation of the question is that, the fruit is evenly distributed into the 8 glass cups.
Mathematically, the size of the fruit punch will be divided by the number of glass cups.
So, we have
Fraction = ½ ÷ 8 (convert ÷ to *)
Fraction = ½ * ⅛
Fraction = 1/16
Hence, the fraction of a gallon fruit punch is in each glass is 1/16
Answer:
12x⁹ + 15x⁸ - 8x⁶ - 10x⁵
Step-by-step explanation:
<u>This is incomplete and should be: </u>
- x⁴ • (3x³ - 2) • (4x² + 5x)
<u>Solution with steps</u>:
- x⁴ • (3x³ - 2) • (4x² + 5x) =
- x⁵• (3x³ - 2) • (4x + 5) =
- x⁵• (12x⁴ + 15x³ - 8x - 10) =
- 12x⁹ + 15x⁸ - 8x⁶ - 10x⁵
Answer:
0.9973
Step-by-step explanation:
Given :
Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481
1 - p = 0.481
n = 9
Probability that atleast one is girl
Usingbthe binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
USing the binomial probability calculator :
p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)
p(x ≥ 1) = 0.9973 ( from calculator).
Answer:
Step-by-step explanation:
A and B are both equal (corresponding parts)
A = B
5x - 5 = 3x + 13 Add 5 to both sides
5x = 3x + 13 + 5 Combine
5x = 3x + 18 Subtract 3x from both sides
5x - 3x = 18 Combine
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
Angle B
B = 3x + 13 Let x = 9
B = 3*9 + 13
B = 27 + 13
Angle B = 40
