Sum of interior angles = (n-2) × 180<span> = (5-2) x 180 = 3 x 180 = 540
so
x + 90 + 107 + 144 + 138 = 540
x + 479 = 540
x = 540 - 479
x = 61</span>
Let x be the number of circuit boards that can be produced and m be the number of capacitors per circuit board
y = mx
140 capacitors allowed the production of 35 boards.
140 = 35x
x = 4
No circuit boards can be made without capacitors so the line's y intercept is 0. No capacitors are used if no circuit boards are to be made so the x intercept is also 0.
Answer:
The significance level is 
and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is 
Step-by-step explanation:
For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:
Null hypothesis: 
Alternative hypothesis: 
And the statistic is given by:
The significance level is and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:
So we reject the null hypothesis is
Answer:
The answer to your question is:
Step-by-step explanation:
If the line is rotated, we get the perpendicular of the initial line.
See the attachment, the blue line is the original and the red one is the new line.
Process
new slope = 2/5
Point ( 0, 4)
(y - y1) = m (x - x1)
( y - 4) = 2/5 (x - 0)
y - 4 = 2/5 x
y = 2/5 x + 4 New line
Answer:
12
Step-by-step explanation:
Same line = slope constant
(20-5)/(6-1) = (41-5)/(k-1)
3 = 36/k
k = 36/3
k = 12
