Answer:
23182 or 23181.5109105
Step-by-step explanation:
The sequence is
740, 707.60,675.20,642.80,...
Here first term is 740, and common difference, d is

Now we use the formula of nth term, which is

Substituting the values of a,n and d, we will get

Correct option is the second option .
Answer:
The value of x is 10, and the value of y is 6
Step-by-step explanation:
ABC and GEF are congruent
so
x - 8 = 2
x = 10
x - y = 4
10 - y = 4
y = 10 - 4
y = 6
Answer
x = 10, y = 6
X=60° (equilateral triangle)
y=120°
Working: (360°-120°)/2
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.