A monkey has filled in a 3 × 3 grid with the numbers 1, 2, . . . , 9. A cat writes down the three numbers obtained by multiplyin
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Answer:
The margin of error for the survey is 0.016
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1024
Sample proportion:
We have to find the margin of error associated with a 90% Confidence interval.
Formula for margin of error:
Putting the values, we get:
Thus, the margin of error for the survey is 0.016
Answer:
The length of the loop is approximately 49.58 km.
Step-by-step explanation:
Given:
Time required to ride bicycle in loop = 2 hours and 30 mins
Now we know that;
60 mins = 1 hour
30 mins =0.5 hour
so 2 hour and 30 mins =
∴ Time required to ride bicycle in loop = 2.5 hrs
Let the speed at which she is riding the bicycle be 's'.
and let Total distance of the loop be 'd'
Now we know that;
Distance is given by speed multiplied by time.
framing in equation form we get;
Now Given:
If she increase the speed by 1 km/hr, it would reduce her time around the loop by 7 minutes.
Hence we can say;
Speed =
Also time will be reduce to 7 mins.
7 mins =0.12 hrs
Now time = 2.5-0.12 =2.38
Again Distance is given by speed multiplied by time.
framing in equation form we get;
Now distance is same for both so we will calculate the speed by equating the equations.
Now Speed = 19.83 km/hr
Length of the loop (d) =
Hence the length of the loop is approximately 49.58 km.
The number of times the spinner landed on a space numbered greater than 4 = 167
Step-by-step explanation:
Step 1 :
Given,
Number of equal area spaces in the spinner = 6
Number of times the spinner was spun = 500
We need to find the number of times the spinner landed on a space numbered greater than 4
Step 2 :
Total number of outcome = 6
Favorable outcomes are = Numbers greater than 4 = 5,6
Total number of favorable outcome = 2
Therefore Probability that the spinner will land on a number that is greater than 4 is =
The number of times that the spinner landed on a space numbered greater than 4 = 500 × = 166.67 = 167 (rounded off to the nearest integer)
Step 3 :
Answer :
The number of times the spinner landed on a space numbered greater than 4 = 167