Answer:
2 to 8
For every two dogs there are eight small dogs
or
for every large dog there is four small dogs (this is just simplified)
The difference between the average speed in km/h of their trains are 53.538 km/h.
Step-by-step explanation:
The given is,
Davit's train travels 90 km in 50 minutes.
Mila's train travels 210 km. It leaves at 12:05 and arrives 13:35.
Step:1
From the given,
Time required to milas train travels 210 km
= 12:05 - 13:35
= 1.30 hours
Step:2
Time to Davit's train travels 90 km is need to convert in hours from minutes,
= 50 minutes
=
hours
= 0.833 hours
Step:3
Average rate of Davits train,
= ![\frac{Distance traveled}{Time taken}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%20traveled%7D%7BTime%20taken%7D)
= ![\frac{90}{0.833}](https://tex.z-dn.net/?f=%5Cfrac%7B90%7D%7B0.833%7D)
= 108 km/h
Step:4
Average rate of Mila's train,
= ![\frac{Distance traveled}{Time taken}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%20traveled%7D%7BTime%20taken%7D)
= ![\frac{210}{1.30}](https://tex.z-dn.net/?f=%5Cfrac%7B210%7D%7B1.30%7D)
= 161.538 km/h
Step:5
The difference between the average speed of the both trains in km/h,
= 161.538 - 108
= 53.538 km/h
Result:
The difference between, the average speed of their trains are 53.538 km/h.
Answer:
The 95% confidence interval would be given (0.536;0.894).
Step-by-step explanation:
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
X=21 represent the people that prefer Cloak
estimation for the sample proportion
n=30 sample size selected
Confidence =0.95 or 95%
The population proportion have the following distribution
The confidence interval would be given by this formula
For the 95% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.536;0.894).
Answer: Answer: (5,10) because you can’t have a negative in people or in parts
Step-by-step explanation: We are given that a factory's production is modeled by function f(x).
Where f(x)=Number of parts produced per hour
x=Number of people working during production
We have to choose an ordered pair that represents a possible domain and range of the function.
x is the number of people working during production.It is always positive because time can not be negative.
f(x) is the number of parts produced per hour .It is always positive because quantity of any number cannot be negative.It is always positive.
In first option (-1,15)
x=-1,f(x)=15
x is negative which is not possible.
So, it is false.
In option b(5,-50)
x=5,f(x)=-50
Range is negative which is not possible.
So , it is false.
In option C( -10,-100)
x=-10, f(x)=-100
x and f(x) are both negative therefore, it is false.
In option D (5,10)
x=5 , f(x)=10
x and f(x) are both positive.
So, it is possible ordered pair.
Hence, ordered pair (5,10) in which 5 represent a possible domain and 10 represent the possible range.
Good Luck :)
Answer:
0.000002
Step-by-step explanation:
since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.