MATHEMATICS COLLEGE

What is 3.08 x 12.4 ?

Answers

Answer 1

Answer:

Answer:

=38.192x

Step-by-step explanation:

I hope this helps you

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Approximate the data using the line y = 0.25x + 3. Find the data point that has the residual with the greatest absolute value. Give that data point and its associated residual. Data point: (20, 6); Residual = -2.00 Data point: (15, 5); Residual = 6.75 Data point: (5, 3); Residual = -1.25 Data point: (10, 10); Residual = 4.50

Use the distance formula to find the distance between (−8, 2.5) and (0, −4.5).d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
1. Substitute coordinates: d = StartRoot (negative 8 minus 0) squared + (2.5 minus (negative 4.5)) squared EndRoot
2. Simplify parentheses: d = StartRoot (negative 8) squared + (7) squared EndRoot
3. Evaluate powers: d = StartRoot 64 + 49 EndRoot
4. Simplify.
What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth.

d ≈

Answers

The distance between points (- 8, 2.5) and (0, - 4.5) is,

⇒ d = 10.67

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Two points are,

⇒ (- 8, 2.5) and (0, - 4.5)

Hence, The distance between (- 8, 2.5) and (0, - 4.5) is,

d = √ (- 8 - 0)² + (2.5 + 4.5)²

d = √ 64 + 7²

d = √64 + 49

d = √114

d = 10.67

Thus, The distance between points (- 8, 2.5) and (0, - 4.5) is,

⇒ d = 10.67

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Answer: B.10.63

Step-by-step explanation:

To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. If the population standard deviation is 8.2 years, computer the standard error of the mean. (Round to one decimal place) What is the probability that the sample mean age of the employees will be within 2 years of the population mean age

Answers

Answer:

The standard error of the mean is 1.3.

87.64% probability that the sample mean age of the employees will be within 2 years of the population mean age

Step-by-step explanation:

To solve this question, we have 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:

$Z = (X - \mu)/(\sigma)$

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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = (\sigma)/(√(n))$

In this problem, we have that:

$\sigma = 8.2, n = 40$

Computer the standard error of the mean

$s = (8.2)/(√(40)) = 1.3$

The standard error of the mean is 1.3.

What is the probability that the sample mean age of the employees will be within 2 years of the population mean age

This is the pvalue of Z when $X = \mu + 2$ subtracted by the pvalue of Z when $X = \mu - 2$ . So

$X = \mu + 2$

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (\mu + 2 - \mu)/(1.3)$

$Z = 1.54$

$Z = 1.54$ has a pvalue of 0.9382

-----

$X = \mu - 2$

$Z = (X - \mu)/(s)$

$Z = (\mu - 2 - \mu)/(1.3)$

$Z = -1.54$

$Z = -1.54$ has a pvalue of 0.0618

0.9382 - 0.0618 = 0.8764

87.64% probability that the sample mean age of the employees will be within 2 years of the population mean age

Sixteen college freshmen were asked to record the number of alcoholic drinks they typically consume in a week. Here are their data: 2, 4, 6, 0, 1, 10, 9, 0, 6, 3, 6, 8, 5, 4, 6, 2. What is the variance of the number of alcoholic drinks consumed per week?a.3.26
b.2.96
c.12.25
d.8.75

Answers

Solution: The correct option is d. 8.75

Explanation:

The formula for variance is:

$Variance =\frac{\sum(x-\bar{x})^(2)}{n}$

First we need to find the mean $\bar{x}$ of the given data:

$\bar{x}=(2+4+6+0+1+10+9+0+6+3+6+8+5+4+6+2)/(16)=(72)/(16) =4.5$

Now let's find $\sum(x-\bar{x})^(2)$ , please have a look at the attached picture:

$\therefore Variance = (140)/(16)=8.75$

Write this ratio as a fraction in lowest terms
60 minutes to 70 minutes

Answers

The ratio 60 minutes to 70 minutes can be written as the fraction 6/7 in its lowest terms.

How to write the ratio

To write the ratio 60 minutes to 70 minutes as a fraction in lowest terms, you can divide both numbers by their greatest common divisor. In this case, the greatest common divisor of 60 and 70 is 10.

Dividing both numbers by 10 gives:

60 ÷ 10 = 6

70 ÷ 10 = 7

So, the ratio 60 minutes to 70 minutes can be written as the fraction 6/7 in its lowest terms.

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The answer is 7/6 bc you take the the two zeros from the side

A community is deciding whether to find a new gymnasium

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Whats the question ELAISSAROYER22

The functions f(x) and g(x) are graphed.On a coordinate plane, a curved red line with an upward arc, labeled g of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 4) and the x-axis at (2, 0).

Which represents where f(x) = g(x)?

f(2) = g(2) and f(0) = g(0)
f(2) = g(0) and f(0) = g(4)
f(2) = g(0) and f(4) = g(2)
f(2) = g(4) and f(1) = g(1)

Answers

Answer: first answer choice

Step-by-step explanation:

They give us that f(0) and g(0) = 4 and f(2) = g(2) = 0, so the answer is simply the first one. When x=0, y=4 for both and when x=2, y=0 for both.

Hope that helped,

-sirswagger21

Answer:

Step-by-step explanation:

on edge

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