An antiques dealer claims that the average selling price of a certain collectible item on eBay is $5.75. You believe that the average is lower. You select a random sample and find a mean of $5.50. The standard error for your sample is $0.102. Which of the following best describes the P-value in this situation? a. The probability of getting a sample mean of $5.75 or more if the population mean is actually $5.50.b. The probability of getting a sample mean of $5.75 or more if the population mean is actually more than $5.50.c. The probability of getting a sample mean of $5.50 or less if the population mean is actually less than $5.75.d. The probability of getting a sample mean of $5.50 or less if the population mean is actually $5.75.e. The probability of getting a population mean lower than $5.75.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

$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

faster, im not sure why but i know it is faster

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: