Answer:
1 7/8 cups leftover
Step-by-step explanation:
The total amt. of sugar Suze needs is 5(1 1/2 cups) = 15/2 cups, or 7.5 cups.
Combining the 3 1/4 and 6 1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total. She needs only 7.5 cups of this sugar.
Thus, she has leftover the following amount: 9 3/8 - 7 4/8 cups, which
simplifies to 1 7/8 cups
Answer:
This data is not a probability distribution
The reason sum of the probabilities is not equal
∑ P(X=x) ≠ 1
Step-by-step explanation:
<u>Explanation</u>:-
Given data
x 0 1 2 3
p(x) 0.091 0.334 0.408 0.166
<u>Discrete distribution :-</u>
Probability distribution of a random variable is the set of its possible values together with their respective probabilities. Suppose X is a discrete random variable with possible outcomes (values) x₁ , x₂ , x₃ ,......... The probability of each possible outcome

If the numbers
satisfy the two conditions
i) 
ii) ∑P(X=x) =1
Given data condition(i) satisfied 
but the condition (ii) is not satisfied
0.091+0.334+ 0.408+ 0.166 = 0.999
sum off all probabilities is not equal to one
<u>Conclusion</u>:-
The given data is not probability distribution
To solve a Linear equation we need to find the slope:
-4-1 / -2-8 =1/2
now that we have the slope we can find our x and y
y-1=1/2(x-8)
y=x/2-3
Answer:
3/8
Step-by-step explanation:

<em><u>Solution:</u></em>
Given that,

<em><u>Use the following log rules</u></em>
Rule 1: 
Rule 2: 
Rule 3: 

Break 162 down to primes:


Thus we get,

Next

Break 324 down to primes:


Next

By rule 2

Next

By rule 2

Thus the given are evaluated in terms of x and y