Answer:
- Vertical Stretch
-Left 7 Units
-Up 2 units
Step-by-step explanation:
Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.
When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.
When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.
That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units
Answer:
68
Step-by-step explanation:
Pythagorean theorem: a²+b²=c² a²=32² b²=60² c²=hypotenuse²
32²+60²=c²
1024+3600= c²
4624=c²
Now, take the square root of both sides of the equation to find c
=c
68=c
Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.
Step-by-step explanation:
Let X be a random variable that represents the speed of the drivers.
Given: population mean : M = 72 miles ,
Standard deviation: s= 3.2 miles
The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:
![P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278](https://tex.z-dn.net/?f=P%2870%5Cleq%20X%5Cleq%2080%29%3DP%28%5Cfrac%7B70-72%7D%7B3.2%7D%5Cleq%20%5Cfrac%7BX-M%7D%7Bs%7D%5Cleq%5Cfrac%7B80-72%7D%7B3.2%7D%29%5C%5C%5C%5C%3D%20P%28-0.625%5Cleq%20Z%5Cleq%202.5%29%5C%20%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cfrac%7BX-M%7D%7Bs%7D%5D%5C%5C%5C%5C%3DP%28Z%5Cleq2.5%29-P%28Z%5Cleq%20-0.625%29%5C%5C%5C%5C%5C%5C%20%3D0.9938-0.2660%5C%20%5C%20%5C%20%5B%5Ctext%7BUsing%20p-value%20calculator%7D%5D%5C%5C%5C%5C%3D0.7278)
Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.