To solve for the P(54,000≤x≤66000) we proceed as follows:
z-score=(x-μ)/σ
μ-60000
σ-4000
thus:
when x=66,000
z-score=(66000-60000)/4000=1.5
P(z≤1.5)=0.9332
when x=54000
z=(54000-60000)/4000
z=-1.5
P(z≤-1.5)=0.0668
thus
P(54,000≤x≤66000)
=P(z≤1.5)-P(z≤-1.5)
=0.9332-0.0668
=0.8664
Answer: 0.8664
Answer: ![x=129\°](https://tex.z-dn.net/?f=x%3D129%5C%C2%B0)
Step-by-step explanation:
By definition, it is important to remember that:
)
You can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.
Therefore, the value of "x" is this:
![x=\frac{1}{2}(204\°+54\°)\\\\x=\frac{1}{2}(258\°)\\\\x=129\°](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%28204%5C%C2%B0%2B54%5C%C2%B0%29%5C%5C%5C%5Cx%3D%5Cfrac%7B1%7D%7B2%7D%28258%5C%C2%B0%29%5C%5C%5C%5Cx%3D129%5C%C2%B0)
Answer:
C
Step-by-step explanation:
Each interior angle forms a straight angle with the given angles and are supplementary, thus
Calculate the 3 interior angles by subtracting each angle from 180
180 - 56 = 124°
180 - 34 = 146°
180 - 140 = 40°
The sum of the interior angles of a quadrilateral is 360°, thus
fourth interior angle = 360° - (124 + 146 + 40)° = 360° - 310° = 50°
Hence x = 180 - 50 = 130° → C
Answer: 2.762 * 10⁸
Step-by-step explanation:
3.1 * 10⁸ - 3.38 * 10⁷
= (3.1 * 10⁸) - (3.38 * 10⁷)
= (3.1 * 10⁸) - (0.338 * 10⁸)
= 2.762 * 10⁸
Hope this helps