Answer:
8.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
Two sides of triangle of sides 5 ft and 7 ft
and angle between them is increasing at a rate of 0.9 radians per second
let
is the angle between them thus
Area of triangle when two sides and angle between them is given


Differentiate w.r.t time

at 


Answer:
x =4
Step-by-step explanation:
x/y = 1/2
(x + 2) / (y + 1) = 2/3
Cross multiply the first equation
2x = y
Put that value for y into the second equation.
(x + 2) / (2x + 1) = 2/3 Cross multiply
3(x + 2) = 2(2x + 1) Remove the brackets.
3x + 6 = 4x + 2 Subtract 3x from both sides
6 = 4x - 3x + 2
6 = x + 2 Subtract 2 from both sides
6-2 = x
x = 4
The rachos were sold are 6
because ratio of them at the begining = 3/4
after selling some popcorns, ratio of them still 3/4
they sold 8 popcorns mean 3/4 = ?rachos / 8popcorns sold
the rachos sold = 3*8/4 = 6
The confidence interval for the mean usage of water is (18.7,20.5).
Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.
We have to find the confidence interval for the mean usage of water.
To find out the confidence interval we have to first find margin of error.
μ=19.5
σ=2.4
α=0.98
α/2=0.49
We have to find the z value for the p value 0.49 which is z=2.33
Margin of error=z*μ/
=2.33*19.5/
=0.82
lower level=mean -m
=19.5-0.82
=18.68
after rounding upto 1 decimal
=18.7
upper mean = mean+m
=19.5+0.82
=20.52
Hence the confidence interval for the usage of water is (18.7,20.52).
Learn more about margin of error at brainly.com/question/10218601
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