Answer:
y = 1/2 x + -5
Step-by-step explanation:
Slope-intercept form is y = mx + b
where m is the slope and b is the y-intercept
m is equal to change in y/ change in x ( aka horizontal change over vertical change), in the graph the horizontal change is 1 up for every 2 units right, which equals 1/2
b is the y-intercept (when x=0), if you look at the graph x=0 when y=-5
Lastly, you put in m and b into the equation to get y = 1/2 x + -5
Answer:
£8 : £12
Step-by-step explanation:
2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean, 
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
Answer:
The factored form of the equation is (x+4)(x-6)=0.
Step-by-step explanation:
Because (x-4)(x+2)=x^2-4x+2x-8=16,
so that means x^2-2x-8=16,
move 16 to the other side,
you get x^2-2x-8-16=0,
simplify,
you get x^2-2x-24=0,
which satisfies (x+4)(x-6)=0 when factored out.
Because (x+4)(x-6)=x^2+4x-6x-24=x^2-2x-24=0.
