Answer:
Step-by-step explanation:
n = 400
Proportion p = 229/400= 0.5725
For 95% confidence interval we use Z value as 1.96
Std error = 0.025
margin of error = 1.96*0.025
Confidence interval 95% = 0.5725±Margin of error
= (0.524, 0.621)
b) When smiled x becomes 277
p = 0.6925
Std error = 0.023
Margin of error= 1.96*0.023
Confidence interval = (0.647, 0.738)
Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = 
= 13
8.5 is the same as 8.50, right? So just take the digit in the hundredth place of both decimals and subtract. You'd be doing 0-4 so you can go ahead and borrow a number to make 10-4, which equals 6. So without subtracting 8.5 and 4.64, you can determine that 6 will be in the hundredth place. Hope this helps!
Answer:
a) x=18
b) 36 (2*18)
c) 54 (3*18)
d) I'm not exactly sure what it's asking for, so I don't know
Step-by-step explanation:
triangle sum theorem means the sum of every triangle is 180 degrees
so we can make this equation: 180 = 90 + 2x + 3x
solve and you get 18.
Answer:
Goal is not achievable
Step-by-step explanation:
There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.
This means he will take a time of 1/60 hours per lap.
Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h
We now need to know the speed he travels on the second lap.
Average speed = Total distance/Total time
60mph = 2/( 1/30 + T2)
60 = 2/( (1 + 30T2)/30)
60 = 2 divided by (1 + 30T2)/30
60 = 2 * (30)/1 + 30T2
60( 1 + 30T2) = 60
1 + 30T2 = 1
30T2 = 0
T2 = 0
This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.
