24 = 2³ × 3
64 = 2³ × 2³
88 = 2³ × 11
So, the common factors are : 1, 2 , 4, 8
To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
Answer: d. $852.96
Step-by-step explanation:
Given: The net pay = $667.17
Since net pay is the amount of money your employees take home after all deductions have been taken out.
We know that gross pay is the amount of money that employees receive before any taxes and deductions are taken out.
Thus to find the gross pay, we need to add all of the deductions to the net pay as:
Gross pay
Hence, D is the right option.
So we see the pythagorean theorem
a^2+b^2=c^2
diagonal=c
width=a or b, pick one
width=a
legnth=b
width is 5 times more than 2 times legnth of garden
w=5(2legnth)
this doesn't make sense since the legnth is normally longer than the width, but we'll stick with that
w=5(2l)
w=10l
a=10b
(10b)^2+b^2=90^2
100b^2+b^2=8100
101b^2=8100
divide by 101
b^2=80.198 aprox 80.2
square root
8.95533
legnth of garden =8.96
to find width subsitue
w=10l
w=89.56
legnth=8.96
width=89.56
Answer:
Hello some parts of your question is missing below is the missing part
answer : A) p-value = 0.0019 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Step-by-step explanation:
A) using a 0.05 level of significance and test for independence of the quality of management
Test statistic :
∑ ( Oi - Ei )^2 / Ei
= [(40-35)^2 / 35 ] + [(25-24.5)^2 / 24.5 ] + [(5-10.5)^2 / 10.5] + [(35-40)^2 / 40] + [(35-28)^2 / 28] + [(10-12)^2 / 12] + [ (25-25)^2 / 25 ] + [(10-17.5)^2 / 17.5 ] + [(15-7.5)^2 / 7.5] = 17.03
p-value = 0.0019
Df = 4 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings