Will give brainliest!!

I need help algebra

asambeis [7]

Answer:

A. the slope value is 1/4

B. 0

C. y = 1/4x

Step-by-step explanation:

A: the slope can be calculated with the formula

$m = \frac{rise}{run} = \frac{y2 - y1}{x2 - x1}$

m is the slope

(x1, y1) is your first coordinate point (any point will work)

(x2, y2) is your second coordinate point (any point will work)

Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:

$m = \frac{y2 - y1}{x2 - x1} = \frac{1 - 0}{4 - 0} = \frac{1}{4}$

B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.

C:

the equation of the graph is y = mx + b.

m is the slope = 1/4

b is the y-intercept = 0

Therefore the equation is y = 1/4x

6 0

3 years ago

A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are list

alexandr402 [8]

Complete Question

The complete question is shown on the first uploaded image

Answer:

Yes the students are reasonably good at estimating one minute

a

Option A is correct

b

The test statistics is $t = 0.354$

Step-by-step explanation:

From the question we are told that

The set of data is

68, 82 , 38 , 62 , 41, 25 , 57 , 64, 67, 47, 61, 71, 91, 87, 64

The population mean is $\mu = 60$

The level of significance is given as $\alpha = 0.01$

The critical value for this level of significance obtained from the normal distribution table is

$Z_{\alpha } = 2.33$

The null hypothesis is

$H_o : \mu = 60 \ seconds$

The alternative hypothesis is

$Ha : \mu \ne 60 \ seconds$

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i }{n }$

where n = 15

So

$\= x = \frac{ 68+ 82 + 38 + 62 + 41+ 25 + 57 + 64+67+ 47+ 61+ 71+ 91+ 87+ 64}{15}$

$\= x = 61.67$

The standard deviation is mathematically represented as

$\sigma =\sqrt{ \frac{ \sum (x_i - \= x )^2}{n} }$

substituting values

$\sigma =\sqrt{ \frac{ \sum (68-61.67)^2 + ( 82-61.67 )^2 + (38 -61.67)^2 + 62-61.67)^2 + (41-61.67)^2 +(25-61.67)^2 +( 57+61.67)^2 }{15} }$ $\sqrt{ \frac{ ( \cdot \cdot + ( 64-61.67)^2 + (67-61.67)^2 +(47-61.67)^2 + (61-61.67)^2+ (71-61.67)^2 + (91 -61.67)^2+( 87-61.67)^2 + (64-61.67)^2}{15} }$ => $\sigma = 18.23$