Find the area of ΔLKJ

9514 1404 393

Answer:

  D.  37.5 square units

Step-by-step explanation:

There are a couple of ways to figure this.

1. The altitude KM is the geometric mean of the segment lengths ML and MJ

  KM = √(ML·MJ)

  ML = KM²/MJ = 36/8 = 4.5

Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...

  A = (1/2)bh

  A = (1/2)(12.5)(6) = 37.5 . . . square units

__

2. Triangle LKM is similar to triangle KJM. The scale factor is ...

  KM/JM = 6/8 = 3/4

Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.

The total area is ...

  Area of LJK = (area of KJM)×(1 + 9/16)

  = (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units

Karina owns a bakery where she orders both green apples and red apples to use in her baked goods. The supplier of the green apples says that 8% of their green apples are bruised. The supplier of the red apples says that 6% of their red apples are bruised.

Each week, Karina orders 120 of each type of apple, and she looks at the difference (Green−Red) between the proportions of apples with bruises in each order.

What will be the shape of the sampling distribution of the difference in sample proportions, and why?

A. Approximately normal, because we expect 10 bruised and 110not-bruised in both orders, and all of these counts are at least 10.
B. Approximately normal, because we expect 16 bruised and 104 not-bruised green apples, and 12 and 108 for the red apples, and all of these counts are at least 10
C. Not normal, because we expect fewer than 10 bruised apples in both orders.
D. Not normal, because we expect fewer than 10 not-bruised apples in both orders.

PLS HELO ME IT WILL MEAN ALOT!!
Ive been struggling for ages :(

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