By definition of the derivative,
Answer:
No and Yes.
Step-by-step explanation:
The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:
-1≥ -(-1)+7
-1 ≥ 1+7
-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.
On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:
3>(3/4)(5)-5
3>(15/4)-5
3> -5/4 and this is true, so (5,3) is a solution of y>(3/4)x-5.
Answer:
4 terms
Step-by-step explanation:
A term is a single mathematical expression so,
4x is 1 term, +2 is another term, -7w is another term and +16y is another term.
Answer:
a.) 0.1685
b.) 0.7922
Step-by-step explanation:
This question is solved by the probability distribution formula for selection which uses the combination formula to derive the answer.
If 7 out of 12 cases Of refrigerators are said to have compressor problem, then the success rate to be used in the probability distribution formula = p = 7/12 = 0.583
Probability of failure = q = 0.417
When choosing r samples from a possible n sample, then probability distribution formula is denoted by :
P(X=r) = nCr × p^n × q^n-r
a.) From possible 6 samples, if P(X=5)
P(X=5) = 6C5 × 0.583^5 × 0.417¹
P(X=5) = 0.1685
b.) P(X≤4) =1 -P(X>4) = 1 - P(X=5) - P(X=6)
P(X=5) as calculated earlier = 0.1685
P(X=6) = 6C6 × 0.583^6 × 0.417^0
P(X=6) = 0.0393.
Hence, P(X≤4) = 1- 0.1685 - 0.0393
P(X≤4) = 0.7922
