Answer:
y = - 1/2x + 5
Step-by-step explanation:
y = 2x – 6 slope = 2
Perpendicular line slope = -1/2
for (4 , 3) y = mx + b y = 3, x = 4, m = -1/2
b = y - mx = 3 - (-1/2) x 4 = 5
equation: y = - 1/2x + 5
Answer:
Step-by-step explanation:
- Total distance = 10 miles
- Total time = 2 hours
- Distance walked = x
- Speed walked = 2 mph
- Distance cycled = 10 - x
- Speed cycled = 15 mph
<u>Using the given data we can have the equation below to the time:</u>
- x/2 + (10 - x)/15 = 2
- 30x/2 + 30(10 - x)/15 = 30(2)
- 15x + 20 - 2x = 60
- 13x = 60 - 20
- 13x = 40
- x = 40/13
- x = 3.08 miles <em>rounded to 2 decimal places</em>
I think that's what you mean
Answer:
Step-by-step explanation:
The null hypothesis is:
H0: μ(1995)=μ(2019)
The alternative hypothesis is:
H1: μ(1995)<μ(2019)
Because Roger wants to know if mean weight of 16-old males in 2019 is more than the mean weight of 16-old males in 1995 the test only uses one tail of the z-distribution. It is not a two-sided test because in that case the alternative hypothesis would be: μ(1995)≠μ(2019).
To know the p-value, we use the z-statistic, in this case 1.89 and the significance level. Because the problem does not specify it, we will search for the p-value at a 5% significance level and at a 1%.
For a z of 1.89 and 5% significance level, the p-value is: 0.9744
For a z of 1.89 and 1% significance level, the p-value is: 0.9719
Moooooooosssssssssseeeeeeeeseseses