Answer:
Step-by-step explanation:
By adjacent interior angles theorem,
If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.
a° + (3x - 18)° = 180°
a° = 180° - (3x - 18)°
By vertical angles theorem,
If two straight lines intersect each other at a point, opposite angles formed are equal in measure.
180° - (3x - 18)° = (5x - 10)°
(5x - 10) + (3x - 18) = 180
(5x + 3x) - (10 + 18) = 180
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
Answer:
d) 12(100) + 12(80) + 12(5)
Step-by-step explanation:
According to the distributive property, if a,b, c, and d are real numbers, then
a(b+c+d)=ab+ac+ad
We want to find the product 12(185).
We can expand 185 as 100+80+5
Our product then becomes;
We expand using the distributive property to get;
The correct choice is D
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.