Answer:

Step-by-step explanation:
Assume that the shadow of an object in this problem is proportional to the height of the object. One can form the following ratio to describe the objects in this problem,

As per the given problem, a (6) foot person casts a (1.7) foot shadow. Therefore, one can form the following ratio,

It is given that there is a lighthouse that has a shadow of (10.2) feet, one is asked to find its height. Use the parameter (x) to represent the unknown; since the ratios are related, one can form a proportion to solve for(x).

Cross products,

Simplify,

Inverse operations,



Answer:
Step-by-step explanation:
13. 2,300mg > 2g
14. 3kg = 3,000g
16. 4120mg = 4.12g
17. 75g < 800mg
Your answer would be D to double check out into a calculator 2 divided by 15 and it’s the same answer
Answer:
There are 118 plants that weight between 13 and 16 pounds
Step-by-step explanation:
For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)
This can be translated into standard normal units by :
Let X be the weight of the plant
X ~ Normal( 15 , 1.75 )
To find : P( 13 < X < 16 )

= P( -1.142857 < Z < 0.5714286 )
= P( Z < 0.5714286 ) - P( Z < -1.142857 )
= 0.7161454 - 0.1265490
= 0.5895965
So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965
Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200
= 117.9193
Therefore, There are 118 plants that weight between 13 and 16 pounds.
Answer:
Z, Y, X,
W, V,
U, T, S, R, Q, P, O, N,
M, L, K,
J, I, H,
G, F, E, D,
C, B, and A;
Step-by-step explanation: