This list shows the number of years that 99 U.S. Supreme Court Justices served.

If you were applying for a job and the boss said: “We have 7 employees and the average salary is $100,000,” would you hope that

julsineya [31]

When applying for the job, we would hope that is the mode. The mode is the value that appears most often; if most people in the office make $100,000 that may speak better of your potential salary.

8 0

1 year ago

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?

charle [14.2K]

We may answer the question above by dividing the expression y² - 10x + 24 with the given factor, y - 4. The division would give an answer of y - 6. Thus,

<span>y² - 10x + 24 = (y - 4)(y - 6)

The answer is the fourth choice, y - 6.</span>

4 0

2 years ago

A rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their y

Vsevolod [243]

We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence. Their yard is similar but has a scale factor of 8/5 times the size of yours.

We are asked to find the length of fence that your friends should purchase.

Since the size of your friend's yard is $\frac{8}{5}$ times your yard, so your friend should purchase $\frac{8}{5}$ times the 319 feet.

$\text{Length of fence your friend should purchase}=\frac{8}{5}\times 319\text{ ft}$

$\text{Length of fence your friend should purchase}=8\times 63.8\text{ ft}$

$\text{Length of fence your friend should purchase}=510.4\text{ ft}$

Upon rounding our answer to nearest foot, we will get:

$\text{Length of fence your friend should purchase}\approx 510\text{ ft}$

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.

5 0

2 years ago

To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The

kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

$s(t) = 4.9t^2 + v_0 t + s_0$

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

$0 = 4.9(5.6)^2 +5.6(0)+ s_0$

$0 = 4.9(31.36)+ s_0$

$s_0=-153.664$

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0

2 years ago

A quality control manager at an auto plant measures the paint thickness on newly painted cars. A certain part that they paint ha

Scorpion4ik [409]

Answer:

78.88% probability that the mean thickness in the sample of 100 points is within 0.1 mm of the target value

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .