Answer: The speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Step-by-step explanation:
Given: A red horse and a black horse raced on a 1-mile-long circular racetrack.
Time taken by red horse = 120 seconds
Time taken by black horse = 150 seconds
Speed = ![\dfrac{Distance}{Time}](https://tex.z-dn.net/?f=%5Cdfrac%7BDistance%7D%7BTime%7D)
So, speed of red horse =![\dfrac{1}{120}\text{ mile per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B120%7D%5Ctext%7B%20mile%20per%20second%7D)
Since 1 mile = 5280 feet
Speed of red horse = ![\dfrac{5280}{120} =44\text{ feet per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B5280%7D%7B120%7D%20%3D44%5Ctext%7B%20feet%20per%20second%7D)
Similarly,
Speed of black horse = ![\dfrac{5280}{150} =35.2\text{ feet per second}](https://tex.z-dn.net/?f=%5Cdfrac%7B5280%7D%7B150%7D%20%3D35.2%5Ctext%7B%20feet%20per%20second%7D)
Hence, the speed of red horse = 44 feet per second and the speed of black horse = 35.2 feet per second.
Answer:
28,42,56, And 70..
Step-by-step explanation:
<em><u>Its</u></em><em><u> </u></em><em><u>because</u></em><em><u> </u></em><em><u>after</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>count</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>1</u></em><em><u>4</u></em><em><u> </u></em><em><u>then</u></em><em><u> </u></em><em><u>get</u></em><em><u> </u></em><em><u>7</u></em><em><u>0</u></em><em><u> </u></em><em><u>4</u></em><em><u> </u></em><em><u>more</u></em><em><u> </u></em><em><u>times</u></em><em><u>.</u></em><em><u>✌</u></em>
1/8+1/4+3(1/2)+2(5/8)+4(3/4)=49/8
49/8-11/4=27/8
f(1) = -4
f(2) = 3
f(3) = 10
f(4) = 17
f(5) = 24
Step-by-step explanation:
Step 1:
Let f(n) = 7n - 11
Here we can put n= 1,2,3,4,5
Step 2:
Let us do it step by step.
f(1) = 7×(1) - 11 = 7 - 11 = -4
f(2) = 7×(2) - 11 = 14 - 11 = 3
f(3) = 7×(3) - 11 = 21 - 11 = 10
f(4) = 7×(4) - 11 = 28 - 11 = 17
f(5) = 7×(5) - 11 = 35 - 11 = 24
Answer:
The z-statistic lies in the critical region
Step-by-step explanation:
When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:
- If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
- If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.
In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:
The z-statistic lies in the critical region