it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
<u>Step-by-step explanation:</u>
Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:
Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :
⇒ ![3t+10](https://tex.z-dn.net/?f=3t%2B10)
Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :
⇒ ![1.5t + 12](https://tex.z-dn.net/?f=1.5t%20%2B%2012)
Equating both we get :
⇒ ![3t+10=1.5t+12](https://tex.z-dn.net/?f=3t%2B10%3D1.5t%2B12)
⇒ ![1.5t=2](https://tex.z-dn.net/?f=1.5t%3D2)
⇒ ![t=\frac{2}{1.5}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B2%7D%7B1.5%7D)
⇒ ![t=1.33](https://tex.z-dn.net/?f=t%3D1.33)
Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
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
<u>Answer:</u>
- The solution of the inequality is x < -2.
<u>Step-by-step explanation:</u>
<u>Let's simplify the inequality first.</u>
- => -4x < 8
- => -4x/4 < 8/4
- => -x < 2
- => x < -2
Hence, <u>the solution of the inequality is</u><u> x < -2.</u>
Hoped this helped.
![BrainiacUser1357](https://tex.z-dn.net/?f=BrainiacUser1357)
Answer:
Step-by-step explanation:
True
Answer:
discrete i think i might be wrong
Step-by-step explanation: