Answer:
Step-by-step explanation:
Total number of students =100
Number who bought pop corn = 62
Number who bought drinks = 47
Number who bought both =38
Hence number who did not purchase anything = 100-(62+47-38)
=29
Prob that students buys a drink = 47/100 = 0.47
PROB THAT THE student buys a drink/he purchsaed pop corn
= Number for both/number of pop corn
=38/62 =0.613
P(buying pop corn) = 0.62 and P(drink) = 0.47
Product of these = 0.62*0.37=0.2356
Thus we find product is not equal to Prob of purchsing both
Hence cannot be independent
Answer:
x3 – 7x2 + 3------ x3 - 7x2 + 3
3x3 + x2-----------x2 • (3x + 1)
x2 + 4x - 3------------ x2 + 4x - 3
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((x3) - 7x2) + 3
Step 2 :
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(x) = x3-7x2+3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -5.00
-3 1 -3.00 -87.00
1 1 1.00 -3.00
3 1 3.00 -33.00
Hope this helps.
Answer:
An we can use the normal standard table and the following difference and we got this result:
Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:
And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:
And we can use the z score formula given by:
And replacing we got:
An we can use the normal standard table and the following difference and we got this result:
Answer:
−11b^2+8b−4
Step-by-step explanation:
−4b2+6b−9−7b2+2b+5
Simplify by adding terms.
11b2+8b−4
