Answer: d. 0.55
Step-by-step explanation:
The given probability distribution:
Number of Goals 0 1 2 3 4
Probability .05 .15 .35 .30 .15
The probability that in a given game the Lions will score less than 3 goals
= probability that in a given game the Lions will score less than or equal to 2
= 0.5+0.15+0.35
= 0.55
Hence, the correct option is d. 0.55
Answer:
Step-by-step explanation:
(x - 3)/2= 1
x - 3 = 2
x = 5
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
Answer:
81 in²
Step-by-step explanation:
The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.
The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.
Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length
Where,
Base area = s² = 5² = 25 in²
Perimeter of base = 4(s) = 4(5) = 20 in
Slant height = 5.6 in
Surface area = 25 + ½(20) × 5.6
= 25 + 10 × 5.6
= 25 + 56
Surface area = 81 in²
Answer:
Seth has 21 nickels
Step-by-step explanation:
Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.
Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then
Solve this equation:
(x -1)(x +4) = 0
x² +3x -4 = 0 . . . . . . probably the form you're looking for
