Answer:
<h2>The slope m = -2</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation in the standard form:
Convert to the slope intercept form:
<em>subtract 6x from both sides</em>
<em>divide both sides by 3</em>
slope: <em>m = -2</em>
y-intercept: <em>b = 4</em>
9514 1404 393
Answer:
{-8, -4, -2, -1, 1, 2, 4, 8}
Step-by-step explanation:
Possible rational roots are positive and negative divisors of the constant 8:
{-8, -4, -2, -1, 1, 2, 4, 8}
_____
<em>Additional comment</em>
This polynomial has no rational roots. Its two real roots are both negative and irrational.
Answer:
20x-10
Step-by-step explanation:
Cows have 
legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:
But we have two cows so (1) we have to multiply it by 2 giving a total of:
By the other hand chickens have 
legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:
To find the total amount of toes we have to add (2) and (3)
20% of 35 is 7, so you would be getting the jeans for 28, not including tax
Answer:
z(c) = - 1,64
We reject the null hypothesis
Step-by-step explanation:
We need to solve a proportion test ( one tail-test ) left test
Normal distribution
p₀ = 63 %
proportion size p = 51 %
sample size n = 114
At 5% level of significance α = 0,05, and with this value we find in z- table z score of z(c) = 1,64 ( critical value )
Test of proportion:
H₀ Null Hypothesis p = p₀
Hₐ Alternate Hypothesis p < p₀
We now compute z(s) as:
z(s) = ( p - p₀ ) / √ p₀q₀/n
z(s) =( 0,51 - 0,63) / √0,63*0,37/114
z(s) = - 0,12 / 0,045
z(s) = - 2,66
We compare z(s) and z(c)
z(s) < z(c) - 2,66 < -1,64
Therefore as z(s) < z(c) z(s) is in the rejection zone we reject the null hypothesis
