Answer:
10
Step-by-step explanation:
(2/3) x (15)
is the same as
(2/3) x (15/1)
which means after you multiply them you get:
30/3
which simplifies to:
10
Answer:
0.677
Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.
Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.
We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.
An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.
Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.
The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677
Answer: $0.70
Explanation: see picture
<span><u><em>The correct answer is: </em></u>
dilation and rotation.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.
Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.</span></span>
Answer:
<h2>1</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>y = mx + b</em>
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
<em />
We have the equation <em>y = x = 1x</em>.
Therefore the slope is <em>m = 1</em>.
