Step-by-step explanation:
12 2/5
=144/5
=28/8
Hope this helps!!!
The number of the day is 60 because the LCM is 30
Answer:
-(1/10)x
Step-by-step explanation:
This is an addition problem. Since the variable (x) is the same in both terms, we need only sum up the coefficients -3/5 and 1/2 and then multiply x by this sum.
-3/5x+1/2x = (-3/5 + 1/2)x
The LCD of -3/5 and 1/2 is 10. The -3/5 term converts to -6/10 and the 1/2 term to 5/10. Thus, we have (-6/10 + 5/10)x = -(1/10)x
Answer:
[ 5.456, 5.544]
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.5 ounces
Standard deviation r = 0.2 ounces
Number of samples n = 80
Confidence interval = 95%
z value (at 95% confidence) = 1.96
Substituting the values we have;
5.5+/-1.96(0.2/√80)
5.5+/-1.96(0.022360679774)
5.5+/-0.043826932358
5.5+/-0.044
= ( 5.456, 5.544) ounces
Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces
Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
