Answer:
m = 2/3
Step-by-step explanation:
Slope is defined as the ratio rise/run.
As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30. Thus, the slope of the line is m = 30/20, or 2/3.
It’s D it’s substitution just not simplified
Answer:
Yes, hypertension drugs lowers blood pressure.
Step-by-step explanation:
Claim: The hypertension medicine lowered blood pressure.
The null and alternative hypothesis is
H0:\mu_{d}\geq 0
H1:\mu_{d}< 0
Level of significance = 0.05
Sample size = n = 13
Sample mean of difference = \bar{d} = 10.1
Sample standard deviation of difference = s_{d} = 11.2
Test statistic is
t=\frac{\bar{d}}{s_{d}/\sqrt{n}}
t = ((10.1) / (11.2 /squre root of 13)) = 3.251
Degrees of freedom = n - 1 = 13 - 1 = 12
Critical value =2.179( Using t table)
Test statistic | t | > critical value we reject null hypothesis.
In Conclusion: The hypertension medicine lowered blood pressure
4x^2-5x-21 is of the form ax^2+bx+c, a quadratic equation.
so b in this case is -5
We first find out time taken to travel for just 1 km
2hrs is equivalent to 120 minutes
120 km = 120 min
1 km = x (where x is the time taken to travel 1 km).
we simplify the equation by cross - multiplying the equation , so:
120 × x = 1 × 120 → 120x = 120 → x = 120/120 → x = 1
So the car covers 1km in 1 minute
For 300 km the car will take 300 × 1 minute = 300 minutes
we convert minutes to hours by dividing by 60 → 300 / 60 = 5
Therefore the car will take 5 hours to cover 300 km.