The sum of the angles equals 180
therefore
x+(1/4x)=180
1 1/4 x = 180
x=180/ 1 1/4
x=144
1/4 x =1/4(144)=36
Step-by-step explanation:
if the tank is filled with a cap on field to capacity how many half gallons of bottles are filled it will be about well first you have to think how much is half a gallon and it's a half of a gallon is 2 quarts how big is the tank that's what you want to know if you want to fill it up cuz I haven't gotten this 2 quarts tell me how big is the tank
The missing value depends on the speed of jonas to total miles covered by jonas.......if we were to assume that he jogged up the hill at a distance of 15minutes then the trip took him 42 min in total so the remaining travel time would be 27 minutes .....lets say he is walking down the hill at .5 miles per min,.. you shpuld multiply by 27 by .5 which is 13.5
Answer:
No solution
Step-by-step explanation:
So we have the equation:
First, subtract 20 from both sides:
Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.
Since this equals -16, this means that there is no solution.
And we're done!
<span>n = 5
The formula for the confidence interval (CI) is
CI = m ± z*d/sqrt(n)
where
CI = confidence interval
m = mean
z = z value in standard normal table for desired confidence
n = number of samples
Since we want a 95% confidence interval, we need to divide that in half to get
95/2 = 47.5
Looking up 0.475 in a standard normal table gives us a z value of 1.96
Since we want the margin of error to be ± 0.0001, we want the expression ± z*d/sqrt(n) to also be ± 0.0001. And to simplify things, we can omit the ± and use the formula
0.0001 = z*d/sqrt(n)
Substitute the value z that we looked up, and get
0.0001 = 1.96*d/sqrt(n)
Substitute the standard deviation that we were given and
0.0001 = 1.96*0.001/sqrt(n)
0.0001 = 0.00196/sqrt(n)
Solve for n
0.0001*sqrt(n) = 0.00196
sqrt(n) = 19.6
n = 4.427188724
Since you can't have a fractional value for n, then n should be at least 5 for a 95% confidence interval that the measured mean is within 0.0001 grams of the correct mass.</span>
