Answer:
123.75 
Step-by-step explanation:
find the volume of the sandbox:
l x w x h = 11 x 7.5 x 1.5 = 123.75 
Answer:
the answer is f(x) = n*(-2)
ratio is the wrong word to use, it is for contolled variation in probability. a sequence is controlled by what is known as a function - f(x) is the symbol for a function
Step-by-step explanation:
the following number of the previous one in the sequence is derived by the function f(x)=n*(-2)
2 x -2 = -4 (positive x negative = negative)
-4 × -2 = 8 (negative x negative = positive)
8 x -2 = -16 (positive x negative = negative)
so in the sequence, the trend of -,+ double will go on
Answer:
68⁰
Step-by-step explanation:
90 + 22 = 112
180 - 112 = 68
Answer:
μ = 5.068 oz
Step-by-step explanation:
Normal distribution formula to use the table attached
Z = (x - μ)/σ
where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.
98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].
From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives
Z = (x - μ)/σ
2.33 = (6 - μ)/0.4
μ = 6 - 2.33*0.4
μ = 5.068
This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.