Given that y varies directly as x, and y= 27 when x = 54. Find the value of x when y = 54?
1 answer:
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Answer:
<h2>4/3 Joules </h2>Step-by-step explanation:
Work is said to be done when force applied to an object causes the object to move through a distance.
Work done = Force * perpendicular distance.
Given Force F = xy i + (y-x) j and a straight line (-1, -2) to (1, 2)
First we need to get the equation of the straight line given.
Given the slope intercept form y = mx+c
m is the slope
c is the intercept
m = y₂-y₁/x₂-x₁
m = 2-(-2)/1-(-1)
m = 4/2
m = 2
To get the slope we will substtutte any f the point and the slope into the formula y = mx+c
Using the point (1,2)
2 = 2+c
c = 0
y = 2x
Substituting y = 2x into the value of the force F = xy i + (y-x) j we will have;
F = x(2x) i + (2x - x) j
Using the coordinate (1, 2) as the value of s
Answer:
No, the manager is not correct based on the 95% confidence interval.
Step-by-step explanation:
We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .
The Pivotal quantity for 95% confidence interval is given by;
~
where, X bar = sample mean = $1080
s = sample standard deviation = $260
n = sample size = 35 {five-week}
So, 95% confidence interval for average daily revenue, is given by;
P(-2.032 < < 2.032) = 0.95
P(-2.032 < < 2.032) = 0.95
P(-2.032 * <
< 2.032 *
) = 0.95
P(X bar - 2.032 * <
< X bar + 2.032 *
) = 0.95
95% confidence interval for = [ X bar - 2.032 *
, X bar + 2.032 *
]
= [ 1080 - 2.032 * , 1080 + 2.032 *
]
= [ 990.70 , 1169.30 ]
<em>No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.</em>
Therefore, the store manager believe is not correct.