Answer:
z = √3
Step-by-step explanation:
sin (30°) = z / 2√3
z = sin (30°) 2√3
z = √3
Answer:
$900
Step-by-step explanation:
So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.
Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean :
hours
Population standard deviation :
hours
z-value for 93% confidence interval:
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
Use the expression for y in the second equation.
.. 3x +4(3 -(1/2)x) = 1
.. 3x +12 -2x = 1
.. x +12 = 1
.. x = -11
The area of the base (six triangles with a base 15m and a height 7.5√3m):

The area of side walls (six triangles with a base 15m and a height 12m)

The surface area: