Atreasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5: 9 ratio. marina traced the map onto a coordinate plane to find the exact location of the treasure.

what are the coordinates of the treasure? if necessary, round the coordinates to the nearest tenth.

(11.4, 14.2)
(7.6, 8.8)
(5.7, 7.5)
(10.2, 12.6)

The coordinates of Treasure round to the nearest tenth is:

(7.6,8.8)

Step-by-step explanation:

We are given the coordinates of rock as: (3,2)

and Tree as: (16,21)

Now as Treasure divides the line segment between rock and tree in the ratio 5:9.

As we know if any point C(e,f) divides the line segment A(a,b) and B(c,d) in the ratio m:n then the coordinates of point C is calculated as:

and

Here we have (a,b)=(3,2)

(c,d)=(16,21)

and m:n=5:9.

Let the coordinates of Treasure are (e,f).

and

Hence, the coordinates of Treasure are:

(7.6,8.8).

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.