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3 years ago

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The county fair charges $1.00 per rode and an additional $3.00 to get in the fair. Write an equation to represent the total cost

of attending the fair.
First identify the independent and dependent variables.

1 answer:

Darina [25.2K]3 years ago

4 0

The 1.00 per ride is the dependent variable and the additional cost is the independent. hope this helped!

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NEED HELP! The endpoints of WX are W(2,-7) and X(5,-4).

jeyben [28]

Answer:

3√2 or 4.24

Step-by-step explanation:

d(w,x) = √(5-2)² + (-4-(-7))² = √18 = 3√2 (4.24)

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3 years ago

A regression of y = calcium content (g/L) on x = dissolved material (mg/cm2) was reported in the article "Use of Fly Ash or Sili

MatroZZZ [7]

Answer:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

b) 10.878

c) S ≈ 1.99

Step-by-step explanation:

a) The slope = 0.144 , means that an increase in dissolved material by 1 mg/cm^2 will lead to an increase in Calcium content by 0.144 g/l

while the coefficient of determination = 0.869 , means that 86% of the variation ( natural ) of calcium content is explainable using the Linear model.

<u>B) Point estimate of true average calcium content </u>

Given that dissolved material = 50 mg/cm^2

= 3.678 + 0.144 * dissolved material

= 3.678 + 7.2 = 10.878

<u>C) Determine an estimate of error standard deviation </u>

Given that ; sum of squares ( SST ) = 320.398

COD ( r ) = 0.86

first; calculate the value of SSE = SST - SST ( r^2 )

SSE = 320.398 - 320.398 ( 0.86) ^2

= 83.43

Finally ; determine the estimate of error standard deviation

S^2 = SSE / n -2

= 83.43 / 23 - 2

∴ S ≈ 1.99

6 0

3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

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2 years ago

What is <br> x = 0.6x + 384

weeeeeb [17]

x = 0.6x + 384

subtract .6x from each side

.4x = 384

divide both sides by .4

x = 960

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3 years ago

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Write this percentage as a fraction in its simplest form.<br> 56<br> %

Juliette [100K]

Answer:

9/25

Step-by-step explanation:

56% = 56/100

56/100= 18/50

18/50 = 9/25

6 0

2 years ago

Read 2 more answers