The following are the ages (years) of 5 people in a room: 17, 16, 15, 17, 22
A person enters the room.
The mean age of the 6 people is now 17.
What is the age of the person who entered the room

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is:

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.