We know that
m-------------------- > <span>the amount of twinkle lights Maggie used
l--------------------- > </span><span>the amount of twinkle lights Lilly used
l=70
m=51+l
therefore
m=51+70=121
m=121
the answer is 121 (</span>amount of twinkle lights Maggie used)
Uh sure if you give me the problem I could help
The algebraic expression of "Four more than the quotient of a number and 3 is 9" is ![\frac{x}{3}+4=9](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9)
The value of x=15
Step-by-step explanation:
We need to express "Four more than the quotient of a number and 3 is 9" as algebraic expression.
Let the number = x
Solving:
quotient of a number and 3: ![\frac{x}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D)
Four more than the quotient of a number and 3: ![\frac{x}{3}+4](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4)
Four more than the quotient of a number and 3 is 9: ![\frac{x}{3}+4=9](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9)
Now, finding value of x:
![\frac{x}{3}+4=9\\Adding\,\,-4\,\,on\,\,both\,\,sides:\\\frac{x}{3}+4-4=9-4\\\frac{x}{3}=5\\Multiply\,\,both\,\,sides\,\,by\,\,3:\\x=5*3\\x=15](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%2B4%3D9%5C%5CAdding%5C%2C%5C%2C-4%5C%2C%5C%2Con%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%3A%5C%5C%5Cfrac%7Bx%7D%7B3%7D%2B4-4%3D9-4%5C%5C%5Cfrac%7Bx%7D%7B3%7D%3D5%5C%5CMultiply%5C%2C%5C%2Cboth%5C%2C%5C%2Csides%5C%2C%5C%2Cby%5C%2C%5C%2C3%3A%5C%5Cx%3D5%2A3%5C%5Cx%3D15)
So, value of x = 15
Keywords: Algebraic expression
Learn more about algebraic expression at:
#learnwithBrainly
Answer:
37
Step-by-step explanation:
The first thing is to calculate critical z factor
the alpha and the critical z score for a confidence level of 90% is calculated as follows:
two sided alpha = (100% - 90%) / 200 = 0.05
critical z factor for two sided alpha of .05 is calculated as follows:
critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:
critical z factor = 2.58
Now we have the following formula:
ME = z * (sd / sqrt (N) ^ (1/2))
where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58
N the sample size and we want to know it, replacing:
6 = 2.58 * (14 / (N) ^ (1/2))
solving for N we have:
N = (2.58 * 14/6) ^ 2
N = 36.24
Which means that the sample size was 37.