Atire company finds the lifespan for one brand of its tires is normally distributed with a mean of 50,000 miles and a standard deviation of 4,000 miles. What is the Z-score for a tire lasting 52,000
miles?
0.96
0.88
0.50
25

Option C) 0.50 is the Z-score for a tire lasting 52,000  miles.

Step-by-step explanation:

The z-core is the value decreased by the mean, divided by the standard deviation.

The formula to calculate the z-score value is given by,

It is given that,

Therefore the x value is 52000. Now, substitute the following in z-score formula,

⇒ z-score = (52000 - 50000) / 4000

⇒ z-score = 0.50

∴ Option C) 0.50 is the Z-score for a tire lasting 52,000  miles.

it is x=-4

step-by-step explanation:

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720