Answer:
3.00/8
Step-by-step explanation:
because u simplify 15/5 and u get 3
Answer:
As the ice cubes get heated, the particles of the ice also start to heat up. This way, through conduction and radiation, the particles start bouncing on one another and the heat transfers. this way, they particles begin to make way for the other, resulting in the solid changing to liquid, because the particles are now farther apart.
Hope this helps
Answer:
standard deviation = ±0.4667
Step-by-step explanation:
In Normal distribution, approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.
Therefore, for a confidence interval of 99.7% the standard deviation of the x¯ must be 3 standard deviations from the mean,
3σ = ±1.4
σ = ±1.4/3
σ = ±0.4667
Therefore, 0.4667 is the standard deviation that x¯ must have so that 99.7% of all samples give an x¯ within 1.4 point of μ.
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $235,000
P = $53,000
n = 1 because it was compounded once in a year.
t = 18 years
Therefore,.
235000 = 53000(1 + r/1)^1 × 18
235000/53000 = (1 + r)^18
4.43 = (1 + r)^18
Raising both sides to the power of 1/18, it becomes
4.43^(1/18) = (1 + r)^18 × 1/18
1.086 = 1 + r
r = 1.086 - 1
r = 0.086
r = 0.086 × 100 = 8.6%
The height of the building to the nearest tenth of a meter is; 13 m
<h3>How to make use of Cosine Rule?</h3>
The slant line from the top of Trevor's head to the base of the building is gotten from Pythagoras theorem;
15/x = sin 36°
x = 15/sin 36
x = 25.52 m
Angle between that slant line and base of building is;
90 - tan⁻¹(1.5/14) = θ
θ = 83.88°
Remaining angle of the bigger triangle is;
180 - (36 + 83.88) = 60.12°
Thus, if the height of the building is h, then;
h/sin 36 = 25.52/sin 60.12
h = 13 m
Read more about Cosine Rule at; brainly.com/question/4372174
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