Answer:
14.4 m / s
Step-by-step explanation:
=distance between the car
=0.8 × 9
=7.2m
=time taken
=0.5s
=speed
=distance/time
=7.2m/0.5s
=14.4 m / s
Answer: March 28
Step-by-step explanation:
Solve for this by checking for the lowest common multiple of 7 and 4.
Multiples of 7: 7, 14, 21, 28, 35
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32
Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.
Answer:
0.2
Step-by-step explanation:
100 inches per minute
There are 60 minutes per hour so
100 inches per minute equals
6,000 inches per hour
there are 12 inches per foot so that converts to
500 feet per hour
Answer:
Step-by-step explanation:
Hello!
This is an example of a pared sample test, the experiment is based on two dependent variables:
X₁: centimeters on a pain scale before hypnosis
X₂: centimeters on a pain scale after hypnosis
Out of these two variables a new variable is determined Xd= X₁-X₂
If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.
The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0
The statistic for this test is a paired sample t test:

To calculate the sample mean and variance you have to calculate the difference between the pairs first.
= ∑Dif/n
![S_d^2= \frac{1}{n-1} [sumDif^2- \frac{(sumDif)^2}{n} ]](https://tex.z-dn.net/?f=S_d%5E2%3D%20%5Cfrac%7B1%7D%7Bn-1%7D%20%5BsumDif%5E2-%20%5Cfrac%7B%28sumDif%29%5E2%7D%7Bn%7D%20%5D)
∑Dif= 6.4
∑Dif²= 12.64
= 6.4/5= 1.28
![S_d^2= \frac{1}{4} [12.64- \frac{(6.4)^2}{5} ]= 1.112](https://tex.z-dn.net/?f=S_d%5E2%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5B12.64-%20%5Cfrac%7B%286.4%29%5E2%7D%7B5%7D%20%5D%3D%201.112)
Sd= 1.05

I hope this helps!