Answer:
### Therefore, two hundred fifty three thousandths in standard form is 253.003.

We are given number in words " two hundred fifty three thousandths".

Let us write it in number form: First we would write the number form of "two hundred fifty".

**Two hundred fifty = 253.**

Now, we need to write three thousandths.

**Three thousandths = .003**

Now, we need to combine 253 and 0.003.

On combining we get 253.003.

g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm )of President 191 180 180 182 197 180 Height (cm )of Main Opponent 166 179 168 183 194 186 a. Use the sample data with a 0.05 significance level to test the claim that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm. In this example, mu Subscript d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the president's height minus their main opponent's height. What are the null and alternative hypotheses for the hypothesis test?

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Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

As a student give one reason why we need to know if our client is comfortable in our service

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Nathanial is using the quadratic formula to solve 0=x^2+5x-6. His steps are shown below. What are the solutions to the equation?

As a student give one reason why we need to know if our client is comfortable in our service

of the function y = f(x) definded by x²+xy-y2 = 4.

**Answer:**

2x + y

**Step-by-step explanation:**

x² + xy - y² = 4

→ Remember the rule, bring the power down then minus 1

2x + y

**First, let's write 65% as a decimal. We can do this by moving the decimal point 2 places to the left. When we do this, we will get 0.65.**

**Next, the word of means "multiply" so we have to multiply 0.65 by 40.**

**(.65) × (40) = 26.00**

**Therefore, 65% of 40 is 26**

cereal is $4.50. What

is the cost in dollars

of each ounce?

**Answer:**

45 cents for each ounce.

**Step-by-step explanation:**

Take away the decimal, divide 450 by 10, and you get 45.

10x = 4.5

divided 10 to both sides leaves u with 0.45.

Answer is $0.45!

divided 10 to both sides leaves u with 0.45.

Answer is $0.45!

Juan is applying basic statistical principles in a chemistry laboratory by reviewing the standard deviation of the lab measurements and repeating his measurements multiple times to find a more accurate mean. The more Juan repeats his measurements, the closer he gets to a normal distribution or an accurate mean as per the central limit theorem.

In this chemistry laboratory scenario, you're dealing with a situation in **statistics** known as repeated measurements. Essentially, you are considering the standard deviation of the lab measurements, which is a typical measure of the dispersion of a set of values. The **standard deviation** is denoted by σ, and it is given as 10 milligrams.

When Juan repeats the measurement 4 times and records the mean of his measurements, he's using another common measure of central tendency, the arithmetic mean.

According to the central limit theorem in statistics, the distribution of the mean of a large number of independent, identically distributed variables will be approximately normal, regardless of the underlying distribution. In this case, as Juan repeats his measurements, the mean of these measurements is likely to be more accurate (closer to the true value) than a single measurement.

#SPJ6

The **standard **deviation a measure of dispersion in a data set, lower values indicating data points closer to the mean of the data set, and higher values indicating a wide range of the data points. The scenario discusses the calculation of standard deviation for repeated measurements, with the standard error calculated as the original standard deviation divided by the square root of the number of measurements.

The subject matter of the question pertains to statistical concepts, primarily the standard deviation. In statistics, the standard deviation is a measure of the amount of variation or dispersion in a data set. A low standard deviation indicates that the data points tend to be close to the mean of the data set, while a high standard deviation indicates that the data points are spread out over a wider range.

In the scenario provided, Juan makes a measurement in a chemistry lab and the standard **deviation **of the students' lab measurements is 10mg. He repeats the measurement 4 times and records the mean of his 4 measurements. When you repeat a measurement multiple times and take the mean, the standard deviation of the mean tends to be smaller than the standard deviation of the individual measurements. In statistical terms, the standard deviation of the mean, also known as the standard error, is given by the original standard deviation σ divided by the square root of the number of measurements n. In this case, n is 4, so the standard error would be σ/√n = 10mg/√4 = 5mg.

#SPJ11

Pls help I will give brainliest

**Answer:**

x= 4/16 stan

x=0.26 dec

**Step-by-step explanation:**

⬇ __Hello! The answer would be down below! :)__ ⬇

x = 0 will be the answer.

**Step-by-step explanation:**

So, we start with .

**For step 1 we should subtract **** on both sides.**

=

**For step 2 we will multiply both sides by ****.**

x x

= x = 0

4w+3w=63

**Answer:**

7w=63

63÷7=9

so, (w=9)

**Answer:**

9

**Step-by-step explanation:**

3*9 = 27 4*9=36

36 + 27 = 63