Answer:
B. y = 1.5x +8
Step-by-step explanation:
You can try x=4 in the various equations to see which gives the right value (14).
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A: y = -8(4) +1.5 = -30.5
B: y = 1.5(4) +8 = 14 . . . . . . . . . this equation works
C: y = 8(4) +1.5 = 33.5
D: y = -1.5(4) +8 = 2
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Alternatively, you can use the 2-point form of the equation of a line to write the equation:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (20 -14)/(8 -4)(x -4) +14 . . . . fill in (x1, y1) = (4, 14); (x2, y2) = (8, 20)
y = 1.5(x -4) +14 . . . . . simplify somewhat
y = 1.5x +8 . . . . . . . . write in slope-intercept form
Answer:
36 units of small size popcorn
23 Units of Large popcorn
Step-by-step explanation:
Data:-
Cost of large bag of popcorn = $4/-
Cost of Small bag of popcorn = $3/-
Unit Sold = 59 Bags
Sale = $200.
Required:-
No of unit each size sold = ?
Solution:-
After applying direct formula to computation is below mentioned:
= (36 x 3)+(23x4)
=$200
Answer:
Step-by-step explanation:
we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola
<u>finding</u><u> the</u><u> </u><u>tangent</u><u> </u><u>line</u>
equation of a line given by:
where:
- m is the slope
- b is the y-intercept
to find m take derivative In both sides of the equation of parabola
divide both sides by 2y:
substitute the given value of y:
simplify:
therefore
now we need to figure out the x coordinate to do so we can use the Parabola equation
simplify:
we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
<u>finding</u><u> the</u><u> </u><u>equation</u><u> </u><u>of </u><u>the</u><u> </u><u>normal</u><u> </u><u>line</u>
normal line has negative reciprocal slope of tangent line therefore
once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got
simplify which yields:
and we're done!
( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)
Answer:
y-intercept is (0, 2) and the slope is 1
Answer:
Step-by-step explanation:
In Statistitics whenever we test a hypothesis for testing a statistic, we use confidence interval.
Confidence interval is on either side of an assumed value a margin of error
Margin of error is calculated as critical value * sigma/sqrt of n
Thus we find that whenever n increases, margin of error decreases, thus making confidence interval narrower and thus making probability for accepting null hypothesis a less value.
Thus we find that option C is right.
C. Increasing the sample size decreases the probability because σx decreases as n increases.