Answer:f(w)=w^3 + 7/2w^2-4w+c
Step-by-step explanation:
Answer:
x^2 + 5x - 84 = 0
x = 7
Step-by-step explanation:
let the sister's age = y
sister's age (y) = 5 + x equation 1
xy = 84 equation 2
Make y the subject of the formula in equation 2
y = 84/x
equate equation 1 and 2
84/x = 5 + x equation 3
Multiply equation 3 by x
84 = 5x + x^2
x^2 + 5x - 84 = 0
tjis can be solved using quadratic equation
x^2 -7x + 12x -84 = 0
x(x + 12) -7(x + 12)
x = 7 or - 12
age cant be negative so his age is 7
Answer:
it's B, y= y/x
Step-by-step explanation:
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<h2>
Answer with explanation:</h2>
Let p be the true proportion of registered voters wish to see Mayor Waffleskate defeated.
As per given , we have

Sample size : n= 447
Number of of registered voters wish to see Mayor Waffleskate defeated = 157
I.e. sample proportion : 
Confidence interval for population proportion is given by :-

, where n= sample size
= sample proportion
z* = critical z-value.
Critical z-value for 98% confidence interval is 2.33. (By z-table)
Then, the 98% confidence interval for the proportion of registered voters who wish to see Waffleskate defeated will be :

Since the 0.27 < 0.299 , it means 0.27 does not belong to the above confidence interval.
So , we reject the null hypothesis (
).
So , <u>98% confidence interval does not support the claim.</u>