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.
Y+9=1/5x menjadi y= 1/5x -9
sesudah ini sibtusika n dalam persamaan 4x - 5y = -15x
<span> 4x -5(1/5x-9)= -15 x
4x + x+45=-15x
5x +45 = -15x 45=-20x
x=-45/20
x= -9/4
y+9 =1/5x
y = 1/5(-9/4)-9
y = -189/20
(-</span>9/4,-189/20)
The null hypothesis is often used as a statement <span>about the population the researcher suspects is true and is trying to find evidence for in formulating a statistical test of significance. In addition to that, it is commonly used when stating that there is no significant difference between subjects.</span>
Answer:
length of each square=
≈ 6.6
the length of the rectangle = 2
≈ 13.1
width of the rectangle ≈
≈ 6.6
Step-by-step explanation: