Answer:
B) 9 square units
Step-by-step explanation:
Split the shape into a right triangle and a rectangle.
The rectangle is 2 by 3, so multiply 2 x 3 for the area: 6.
The triangle has a height of 3 and a base of 2. Multiply to get 6. Then divide by 2 to get: 3.
Add 6 + 3 to get 9 square units.
Hope it helps!
Answer:
555.56
Step-by-step explanation:
Purpose of the study: To determine if women are better drivers than men.
Survey or Opinion population: 1,000
You are experimenting on 9 out of a thousand opinions.
5 of these opinions are that women are better drivers
4 of these opinions are that women are not better drivers
You want to know the <em>sample</em> (full sample size is 9) <em>proportion</em> for women as better drivers; using the large sample method. This method is also called the asymptotic method.
This involves approximating the desired statistic, with just a small fraction of the population; in this case, 9/1000.
This approximation will get more and more accurate as sample size increases and you know that a larger sample size gives a better representation and interpretation of the population preference!
So using ratio, the sample proportion for women as the better drivers is given by:
5/9 x 1000 = 555.56 opinions
Answer and Step-by-step explanation: In math, a graph, function or equation can be alterated - by shifting, reflecting, stretching or compressing - without losing its original shape. For example, a quadratic function maintains its parabolic shape when shifted.
When an equation is transformed vertically, it means its y-axis is changed. When it is horizontally, its x-axis is modified.
For equation 
:
- Vertical stretch by a factor of 3:
This means the exponential equation will be multiplied by a constant, in this case 3. Then, the new equation is
- Horizontal shift 4 units to the right:
When an equation is shifted, it's added a constant to it. As it is horizontal, it means it is added to the x and because it is to the right, it is a plus symbol:
- Vertical shift 3 units down:
Vertical shift means the equation is 3 units "below" the original equation, so:
The second option; x=<span><span><span>5/4</span>y</span>+<span>15/<span>4</span></span></span>
