Answer:
Step-by-step explanation:
The area of a "simple" quadrilateral, like a square or a rectangle, is its width times its height: A=wh. The formula may fail for more complicated quadrilaterals.
Answer:
A one-tailed hypothesis will be used to perform the test.
Step-by-step explanation:
The purpose of the marketing research consultant hired by Coca-Cola is to determine whether the the proportion of customers who prefer Coke to other brands is over 50%.
The marketing research consultant selected a random sample of <em>n</em> = 200 customers. The sample proportion of people who favored Coca-Cola over other brands was 55%.
The marketing research consultant can perform a single proportion hypothesis test to determine whether greater than 50% of customers prefer Coca-Cola to other brands.
Since we need to determine whether the population percentage is greater than a null value, the hypothesis is not two-tailed.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people who favor Coca-Cola over other brands was 55%, i.e. <em>p</em> = 0.50.
<em>Hₐ</em>: The proportion of people who favor Coca-Cola over other brands was more than 55%, i.e. <em>p</em> > 0.50.
Thus, a one-tailed hypothesis will be used to perform the test.
Linear means that the y values go up in a fixed increment, k.
In the first one, you see that 3+4=7, 7+4=11, and so on, so you can immediately tell that it's linear.
The second one goes 3+5=8, then 8+7=15, then 15+6=21, which aren't the same numbers.
The third increases and decreases, so it's not linear.
The fourth goes 3+6=9, then 9+18=27, which you can immediately tell is not linear.
Therefore, the only linear table would be the first one.
Step 1: Simplify both sides of the equation.
0.4(12−3x)=0.3(12x−16)
(0.4)(12)+(0.4)(−3x)=(0.3)(12x)+(0.3)(−16)(Distribute)
4.8+−1.2x=3.6x+−4.8
−1.2x+4.8=3.6x−4.8
Step 2: Subtract 3.6x from both sides.
−1.2x+4.8−3.6x=3.6x−4.8−3.6x
−4.8x+4.8=−4.8
Step 3: Subtract 4.8 from both sides.
−4.8x+4.8−4.8=−4.8−4.8
−4.8x=−9.6
Step 4: Divide both sides by -4.8.
−4.8x
/−4.8 = −9.6
/−4.8
x = 2
