Answer:
3 - Perpendicular.
4 - Parallel.
Step-by-step explanation:



Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.


Answer:
65 dinners are expected to show up
The standard deviation of the distribution is 3.13
Step-by-step explanation:
Given
Proportion = 15%
Population = 77
Required
Expected Number that'll show up
Standard Deviation
<em>If 15% won't show up; then</em>
<em>100% - 15% = 85% will show up</em>
Expected Number, E(x) of Dinner is calculated as thus;

Where
(calculated above)
and 
Convert p to decimal

So;



<em>65 dinners are expected to show up</em>
Calculating Standard Deviation, SD
Standard Deviation is calculated as;

Substitute 0.85 for p and 77 for n




(Approximated)
<em>The standard deviation of the distribution is 3.13</em>
1 x 74 = 74, and 2 x 37 = 74.
Answer:
Annual interest rate for this loan. Interest is calculated monthly on the current outstanding balance of your loan at 1/12 of the annual rate.
Monthly loan payment is $400.76 for 60 payments at 7.5%.
Step-by-step explanation:
Calculate:PaymentAmount
?Loan amount:*Enter an amount between $0 and $100,000,000
$20,000
?Monthly payment:
$401
?Interest rate:*Enter an amount between 0% and 25%
7.5%
?Term in months:*Enter an amount between 1 and 480
60
Total interest paid:$4,045.51
Total payments:$24,045.51
<span>3 black ribbons and 12 green ribbons
so P(</span><span>Lila selects a black ribbon)=3/(3+12)
=1/5
</span>2 black ribbons and 12 green ribbons left
P(<span>Jessica selects a green ribbon)=12/(12+2)
</span>=6/7
so P(<span>Lila selects a black ribbon and Jessica selects a green ribbon)
</span>=1/5*6/7
=6/35
ans is D