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3 years ago

Explain why y = 3x IS an exponential function and y = x3 is NOT an exponential function.

1 answer:

8 0

Because y=3x has a coefficient of 3 and y=x3 does not have a coefficient because the variable is the first terms. therefore it is not an exponential function.

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What do I dooooooooo and how

olganol [36]

Answer:

What im guessing is that you translate the mixed fractions into regular fractions or even whole numbers. so translate the largest and shortest and i guess thats how you do it?

6 0

3 years ago

The following data are the joint temperatures of the O-rings (oF) for each test firing or actual launch of the space shuttle roc

12345 [234]

Answer:

The sample mean is $\bar{x}=\frac{1183}{18}\approx 65.722$ .

The sample standard deviation is $s=\frac{\sqrt{1666105}}{105}\approx 12.293$ .

The lower quartile is 59.

The upper quartile is 75.

The median is $\frac{135}{2}=67.5$ .

Step-by-step explanation:

We have the following data:

83, 45, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31.

(a)

The sample mean of data is given by the formula

$\large{{\overline{{{x}}}}=\frac{{1}}{{n}}{\sum_{{{i}={1}}}^{{n}}}{x}_{{i}}}$ ,

where n is the number of values and $\large{{x}_{{i}},{i}={\overline{{{1}..{n}}}}}$ are the values themselves.

Since we have 36 points, then n = 36.

The sum of the points is $\sum_{i=1}^{n} x_i=2366$ .

Therefore, the sample mean is $\bar{x}=\frac{1}{36}\cdot2366=\frac{1183}{18}$ .

The sample standard deviation of data is given by the formula

$\large{{s}=\sqrt{{\frac{{1}}{{{n}-{1}}}{\sum_{{{i}={1}}}^{{n}}}{{\left({x}_{{i}}-{\overline{{{x}}}}\right)}}^{{2}}}}}$ ,

where n is the number of values, $\large{{x}_{{i}},{i}={\overline{{{1}..{n}}}}}$ are the values themselves, and ${\overline{{{x}}}$ is the mean of the values.

The mean of the data is $\bar{x}=\frac{1183}{18}$ .

n = 36.

Sum of ${{\left({x}_{{i}}-{\overline{{{x}}}}\right)}}^{{2}}$ is $\sum_{i=1}^{n} (x_i-\bar{x})^2=\frac{47603}{9}$ .

Now,

$\frac{1}{n-1} \sum_{i=1}^{n} (x_i-\bar{x})^2=\frac{1}{36-1}\cdot\frac{47603}{9}=\frac{1}{35}\cdot\frac{47603}{9}=\frac{47603}{315}$

Finally,

$s=\sqrt{\frac{47603}{315}}=\frac{\sqrt{1666105}}{105}\approx 12.2931133127713$

(b)

The $p^{th}$ percentile is a value such that at least $p$ percent of the observations is less than or equal to this value and at least ( $100-p$ ) percent of the observations is greater than or equal to this value.

The first step is to sort the values.

The sorted values are 31, 40, 45, 45, 52, 53, 57, 58, 58, 60, 61, 61, 63, 66, 67, 67, 67, 67, 68, 69, 70, 70, 70, 70, 72, 73, 75, 75, 76, 76, 78, 79, 80, 81, 83, 83.

The lower quartile or 25th percentile is the median of the lower half of the data set.

Now, calculate the index $i=\frac{p}{100}\cdot n=\frac{25}{100}\cdot 36=9$

Since the index $i$ is an integer, the 25th percentile is the average of the values at the positions $i$ and $i+1$ .

The value at the position $i=9$ is 58 and at the position $i+1=10$ is 60.

Their average is: $\frac{58+60}{2}=59$ .

The lower quartile is 59.

The upper quartile or 75th percentile is the median of the upper half of the data set.

Now, calculate the index $i=\frac{p}{100}\cdot n=\frac{75}{100}\cdot 36=27$

Since the index $i$ is an integer, the 75th percentile is the average of the values at the positions $i$ and $i+1$ .

The value at the position $i=27$ is 75 and at the position $i+1=28$ is 75.

Their average is: $\frac{75+75}{2}=75$ .

The upper quartile is 75.

(c) The median is the middle value of the data set. The median value depends on the number of values. If the number of values is odd, then the median is the "central" value among the sorted values. If the number of values is even, then the median is the average of the two "central values".

The first step is to sort the values.

We have 36 values, so their number is even.

Since the number is even, the median is the average of the "central values":

31, 40, 45, 45, 52, 53, 57, 58, 58, 60, 61, 61, 63, 66, 67, 67, 67, 67, 68, 69, 70, 70, 70, 70, 72, 73, 75, 75, 76, 76, 78, 79, 80, 81, 83, 83.

Calculate the median: $m=\frac{67+68}{2}=\frac{135}{2}$ .

The median is $\frac{135}{2}=67.5$ .

4 0

3 years ago

Plastic cups come in packages of twenty-four and straws come in packages of twenty. What's the smallest number of each that coul

Dmitry_Shevchenko [17]

You'd have to buy 5 backs of cups, and 6 packs of straws

-TheOneandOnly003

3 0

4 years ago

Read 2 more answers

WORTH BRAINLIST!!! What is the value of the expression 2 + 3^2 ⋅ (3 − 1)? 20 22 23 32

Wittaler [7]

Answer:

You have to use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), and solve in that order. Your question is:

2 + 32 ⋅ (3 − 1)

First, solve the Parentheses part of the question. 3-1 is 2. Your question is now:

2+32*2

Now, solve the multiplication part of the question. 32*2 is 64. Your question is now:

2+64

This is now an easy problem to solve.

The answer is 66.

Hope this helps! :)

3 0

4 years ago

I really need help fast detailed explanation please

xeze [42]

Answer:

Angle 4 =55 degree

Step-by-step explanation:

1st find the and beside angel 4:

180 degree-(25+30)=125degree

Then,

To find angle 4 : 180-125 =55 degree

5 0

3 years ago