Instead of using a 1-sample z test, the student performed a simulation to estimate the sampling distribution of the proportion of swimmers who would swim faster with the polyurethane suit. To do this, he flipped a fair coin 8 times and recorded the proportion of heads. Then he repeated this process 50 times. The results of 50 sets of 8 flips are shown in the dotplot below. Use the results of the simulation to estimate the p-value for a test of the hypotheses stated in part (c). Explain how you obtained your estimate.

the answer would be c:   ax + b = ax + c

step-by-step explanation:

table 3 represents a direct variation function. : )

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: