Y+5=2(x+1) ordered pairs

You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your p

frutty [35]

Answer:

Step-by-step explanation:

weight (x) $( x - \overline x)^2$

12.05 0.00123

12 0.00019

11.96 0.00292

12.14 0.0159

12.12 0.00112

11.97 0.0019

11.96 0.0029

12.11 0.0092

11.94 0.0055

11.82 0.038

12 0.00019

12.18 0.028

11.91 0.0108

12.06 0.0021

11.99 0.0029

$\sum x = 180.21$ $\sum (x - \overline x)^2 = 0.12285$

Sample size = 15

$\overline x = \dfrac{180.21}{15} = 12.014$

Sample standard deviation

$x = \sqrt{\dfrac{0.12285}{15-1}}$

$x = 0.0937$

$\text{degree of freedom = n - 1}$

$degree of freedom = 15- 1=14$

$\text{confidence interval} \alpha = 1- 0.98 = 0.02 \\ \\ \alpha/2 = 0.02/2 = 0.01$

$From \ X^2 \ table}$ $\text{, the critical value} X^2 \text{=0.99 for degree of freedom =14 is given by : 4.660}$

$\text{, the critical value} X^2 \text{=0.01 for degree of freedom =14 is given by : 29.141}$

$\text{Thus, the lower limit = 4.660, the upper limit = 29.141}$

$\text{the confidence interval of the standard deviation} \ \sigma \ is:$

$\sqrt{\dfrac{(n -1)s^2}{X^2_{\dfrac{\sigma}{2}}} } \le \sigma \le \sqrt{\dfrac{(n -1)s^2}{X^2_{1-\dfrac{\sigma}{2}}} }$

replacing our values:

$\sqrt{\dfrac{(15 -1)0.0937^2}{29.141} } < \sigma$

$= 0.06495 < \sigma < 0.1624$

$\mathbf{Thus; \ \sigma (0.06495 , 0.1624)}$

3 0

2 years ago

URGENT: Find the x- and y-intercepts of the graph of y = 14x − 2

k0ka [10]

The x-intercept is (0.143,0)
The y-intercept is (0,-2)

5 0

3 years ago

Last week, Tina worked 40 hours in 4 days. She worked the same number of hours each day. How many hours did she work each day? W

blsea [12.9K]

She works 10 hour per day

3 0

3 years ago

What is the area of FGH

Dmitrij [34]

54 $in^{2}$

A right triangle is a shape that looks like half of a square. The height of the triangle is 12, and the base of the triangle is 9. To find the area, use the following formula:

A = $\frac{bh}{2}$

= $\frac{12x9}{2}$

= $\frac{108}{2}$

= 54 $in^{2}$

8 0

2 years ago

What is the rate of change in decimal form for the points (1,5) (0,-3)

seraphim [82]

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

$\frac{y_2-y_1}{x_2-x_1}$

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

$\frac{5-(-3)}{1-0} =\frac{8}{1}=8$

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

3 0

2 years ago