Will vote Brainliest! Find the quotient of the image below. Answer choices are:
2 answers:
Answer:
A. -x^2 + 3x -2
Step-by-step explanation:
We have the expression:
(4x^3 - 12x^2 + 8x)/(-4x)
When we are dividing we can change the division into shorter expressions:
-
+
After we change the expression to make the divisions shorter we can start solving each part individually, dividing the numbers and the variables; to divide variables we rest the exponent of the numerator by the exponent of the same variable in the denominator, for example:
if we have
<em>x^n / x^m = x^n-m </em>
<em>or if we change it by numbers it will be:</em>
<em>x^3 / x^2 = x^3-2 = x^1 = x</em>
Now, solving the expression we get:
-x^2 + 3x - 2
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<h2>Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120
The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis : [ it takes equality (=, ≤, ≥) ]
Alternative hypothesis : [its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic :
Using z-vale table ,
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.