Answer:
Sure, im down
Step-by-step explanation:
Answer:
Approximate probability that
is less than 2 = 0.1515
Step-by-step explanation:
Given -
Mean
= 2.2
Standard deviation
= 1.4
Sample size ( n ) = 52
Let
be the mean of accidents per week at the intersection during one year (52 weeks) .
probability that
is less than 2 =
=
Putting ![(Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})](https://tex.z-dn.net/?f=%28Z%20%3D%5Cfrac%7B%5Coverline%7BX%7D%20-%20%5Cnu%20%7D%7B%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%7D%7D%29)
=
( Using Z table )
= 0.1515
Answer:
x = 16.2
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 54°
Hypothenus = 20
Opposite = x =?
The value of x can be obtained by using the sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 54° = x / 20
Cross multiply
x = 20 × Sine 54
x = 20 × 0.8090
x = 16.2
Thus, the value of x is 16.2
Answer:
<h2>440 square units</h2>
Step-by-step explanation:
We can find half of a side of the pentagon with the expression
![tan(36\°)=\frac{s_{half} }{11}](https://tex.z-dn.net/?f=tan%2836%5C%C2%B0%29%3D%5Cfrac%7Bs_%7Bhalf%7D%20%7D%7B11%7D)
Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.
![s_{half} \approx 8](https://tex.z-dn.net/?f=s_%7Bhalf%7D%20%5Capprox%208)
Therefore, half of a side is 8 units long, which means each side measures 16 units.
Now, the area of a penthagon is defined by
![A=\frac{p \times a}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bp%20%5Ctimes%20a%7D%7B2%7D)
Where
is the perimeter and
is the apothem. Where the perimeter is the sum of all sides, which is 80 units.
![A= \frac{80 \times 11}{2} =440 \ u^{2}](https://tex.z-dn.net/?f=A%3D%20%5Cfrac%7B80%20%5Ctimes%2011%7D%7B2%7D%20%3D440%20%5C%20u%5E%7B2%7D)
Therefore, the right answer is the second choice.