Answer:
So about 95 percent of the observations lie between 480 and 520.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
The mean is 500 and the standard deviation is 10.
About 95 percent of the observations lie between what two values?
From the Empirical Rule, this is from 500 - 2*10 = 480 to 500 + 2*10 = 520.
So about 95 percent of the observations lie between 480 and 520.
Answer:
D. 1,019 square feet
Step-by-step explanation:
10x13x8 - 3x7
Answer: 1 1/18
Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as 5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max (5/5 x 1/2 = 5/10= 1/2)
- First, you need to find a like denominator, which is 18
- Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3 ( 3/3 is just a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply 2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
- Next you add them but only the numerator 15/18 + 4/18 = 19/18
- Finally, you change the the fraction into a mixed number 1 and 1/18
Given:
Quadrilateral with opposite lines are parallel.
To find:
The value of x
Solution:
Quadrilateral with opposite lines are parallel.
Therefore the quadrilateral is a parallelogram.
In parallelogram, the adjacent angles are supplementary angles.
⇒ 48° + x = 180°
Subtract 48° from both sides.
⇒ 48° + x - 48° = 180° - 48°
⇒ x = 132°
The value of the angle x is 132°.
Tan(35)=x/12
x=12*tan(35)=8.40
