1. Which event will have the greatest impact (positive or negative) on one's net worth after one month?Buy a used car at market value for $15,000
Buy a new car at market value for $15,000. Car depreciates 20% upon transfer of ownership.
Lease a $15,000 car on a 3 year lease. The monthly payment is $199 and all lease payments are required in the lease.
None of these events will impact the net worth of an individual

The height of the cylinder is 7 centimeters. The volume and radius of the cylinder were used to find the height using the formula for the volume of a cylinder.

The formula for the volume of a cylinder is given by V = πr²h, where r is the radius and h is the height.

Substituting the given values, we get:

112 = π(4²)h

Simplifying:

112 = 16πh

Dividing both sides by 16π:

h = 112 / (16π)

Using a calculator to evaluate this expression, we get:

h ≈ 0.55 cm

Therefore, the height of the cylinder is approximately 0.55 centimeters.

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Answer:A

Step-by-step explanation:

To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.

Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.

In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:

∠ABD = ∠ADB

Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:

∠ADB = 180° - ∠CBD - ∠ACB

= 180° - 16° - 118°

= 46°

Since ∠ABD = ∠ADB, we have:

∠ABD = 46°

Now, we can find ∠ABC:

∠ABC = 180° - ∠ABD - ∠ACB

= 180° - 46° - 118°

= 16°

Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.

Answer: 0.9996

Step-by-step explanation:

Given : The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F.

Sample size : n=25

Let x be the random variable that represents the body temperatures of adults.

z-score :

For x= 99° F

Now, the probability that their mean body temperature is less than 99° F will be :-

Hence, the probability that their mean body temperature is less than 99° F  = 0.9996

Final answer:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem and calculate the Z-score. The mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25.

Explanation:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25. So, the mean of the sampling distribution would still be 98.6°F, but the standard deviation would be 0.60°F divided by the square root of 25, which is 0.12°F.

Now, we can use the Z-score formula to find the probability that the mean body temperature is less than 99°F. The Z-score is calculated by subtracting the population mean from the desired value (99) and dividing it by the standard deviation of the sampling distribution (0.12). We can then use a Z-table or calculator to find the probability associated with the Z-score.

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