Answer:
1.8940279x10^9+27
Step-by-step explanation:
In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°
1 answer:
Answer:
14.2cm
Step-by-step explanation:
Complete question:
<em>In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. </em>
<em>Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? </em>
<em></em>
Find the diagram attached
arc LN= arc LM + arc MN
First we need to get the arc MN
length of an arc = theta/360 * 2πr
length of arc MN = 75/360 * 2(3.14)(6)
length of arc MN = 0.20833*37.68
length of arc MN = 7.85
Hence;
arc LN = 6.3 + 7.85
arc LN = 14.15cm
Hence the length of arc LN is 14.2cm
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Answer:
The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Mean of the Population = 1900
Given random sample size 'n' = 45
Mean of the sample x⁻ = 1000
Standard deviation of the sample = 225
<u><em>Null Hypothesis</em></u>:-
There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.
<u><em>Alternative Hypothesis</em></u> :-
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012
<u><em>Step(ii</em></u>):-
Test statistic
t = -900 /33.54 = -26.517
|t| = |-26.517|=26.517
Degrees of freedom
γ = n-1 = 45-1 =44
t₍₀.₀₁ , ₄₄₎ = 2.326
The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012
Answer:
The potential energy of the ball having 2kg mass would be J
Step-by-step explanation:
I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.
Considering the formula for calculating the gravitational potential energy
As
kg
Acceleration of gravity = g = 9.8
As the ball is on the height = h = 20 meters
So,
J
Therefore, the potential energy of the ball = J
Keywords: potential energy, Gravitation potential energy
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