3(5 √3 + 3 √3) simplified would be 24√3
Answer:
Step-by-step explanation:
Answer:
Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.
Step-by-step explanation:
Dollar Deal offers $8/h plus 10% commission.
If he spends x hours, then offer after x hours and s amount from sales is;
8x + 10%s
This can be rewritten as; 8x + 0.1s
Now, Great Discounts offers $18/h with no commission.
Thus after 8 hours for 5 days, total number of hours = 40 hours.
Thus, great discounts offer = 18 × 40 = $720
Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s
Thus, for dollar deal to pay more weekly, then;
320 + 0.1s > 720
0.1s > 720 - 320
0.1s > 400
s > 400/0.1
s > 4000
Answer:
1) is not possible
2) P(A∪B) = 0.7
3) 1- P(A∪B) =0.3
4) a) C=A∩B' and P(C)= 0.3
b) P(D)= 0.4
Step-by-step explanation:
1) since the intersection of 2 events cannot be bigger than the smaller event then is not possible that P(A∩B)=0.5 since P(B)=0.4 . Thus the maximum possible value of P(A∩B) is 0.4
2) denoting A= getting Visa card , B= getting MasterCard the probability of getting one of the types of cards is given by
P(A∪B)= P(A)+P(B) - P(A∩B) = 0.6+0.4-0.3 = 0.7
P(A∪B) = 0.7
3) the probability that a student has neither type of card is 1- P(A∪B) = 1-0.7 = 0.3
4) the event C that the selected student has a visa card but not a MasterCard is given by C=A∩B' , where B' is the complement of B. Then
P(C)= P(A∩B') = P(A) - P(A∩B) = 0.6 - 0.3 = 0.3
the probability for the event D=a student has exactly one of the cards is
P(D)= P(A∩B') + P(A'∩B) = P(A∪B) - P(A∩B) = 0.7 - 0.3 = 0.4
Answer:
C. -1 is less than x
Step-by-step explanation:
-3 < 4x + 1
-3-1 < 4x +(1 -1)
-4 < 4x
-4/4 < 4x/4
-1 < x
