From a club 25 people in how many ways can a group of five members be selected to attend conference? A group of 5 members can be
1 answer:
Answer:
²⁵C₅ = 53130
Step-by-step explanation:
number of people in the club = 25
number of people to be selected in the group to attend conference = 5
number of ways of selecting this group from 25 people is same as selecting 5 objects from 25 distinct objects = ²⁵C₅ (Selection)
=
=
= 21×22×23×5
= 53130
∴ <u>Number of ways of selecting this group from 25 people = 53130</u>
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Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula
provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x
Multiply both sides by 10
now, we can factor it
we can solve for x
and we get
Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
See the attached figure to better understand the problem
we know that
tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft
the answer is
the man is 198.45 ft from the helicopter landing pad
we know that
tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft
the answer is
the man is 198.45 ft from the helicopter landing pad