D. -4
sq rt of 3x+28-8=x
add 8 to both sides
sq rt of 3x+28 = x+8
square both sides of the equation
3x + 28 = x^2 + 16x + 64
subtract x^2+16x+64 from both sides
group common terms
-13x-36-x^2=0
rearrange and put in quadratic form
x= -13 +/- sq rt of 13^2-4(1)(36) over 2(1)
subtract 169 by 144
x= -12 +/- sq rt of 25 over 2
solve for both sides
x = -13+5 over 2
=-4
x= -13-5 over 2
= -9
now plug in x
sq rt of 3(-4)+28 -8=-4
sq rt of 3(-9)+28 -8= -9
-4 = -4
but
-7 does not = -9
so -4 is the solution
5,180,000,000
I hope this helps.
4/8= 0.50
Each juice box cost 0.50 cents.
Hope this helps!
Answer: Yes
Step-by-step explanation:
Given that:
Number of employees (n) = 6
Number of employees who can work at a time (r) = 3
To know of its possible for different groups of employees to work for two wweka, then, the number of different groups or combination must be greater Than or equal to 14 (two weeks) ; Assume (1 week = 14 days)
Using the combination formula :
nCr = n! ÷ (n - r)!r!
6C3 = 6! ÷ (6 - 3)!3!
6C3 = 6! ÷ 3!3!
6C3 = (6*5*4) ÷ (3*2*1)
6C3 = 120 / 6
6C3 = 20 ways
Hence, 20 different groups of 3 employees can be made from all 6 employees. Hence, it is possible to have different groups work for two weeks
Answer: 650
Step-by-step explanation:
When prior estimate of population proportion is known , then the formula to find the required sample size is given by :-
, where p= population proportion
E= margin of error
z* = Critical value.
Let p be the proportion of adults able to identify a Toyota Scion by brand and model name.
As per given , we have
p = 12%= 0.12
E= 2.5%=0.025
Critical value for 95% confidence interval : z* = 1.960 [By z-table ]
Then, the required sample size = 
Thus , the required sample size = 650
