Let us say that:
x = weight of llamas
y = weight of okapi
From the problem, we can create the equations:
x + y = 450 -->
1
3 x = y + 190 -->
2
Rewriting equation 1:
x = 450 – y
From equation 2:
3 (450 – y) = y + 190
1350 – 3 y = y + 190
4 y = 1160
y = 290
From equation 1:
x = 450 – 290
x = 160
Therefore a llama weighs 160 kilograms while okapi weigh
290 kilograms on average.
Answer:
0.78814
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score = 4.0 inches
μ is the population mean = 4.4 inches
σ is the population standard deviation = 0.5 inches
z = 4.0 - 4.4/0.5
z = -0.8
Probability value from Z-Table:
P(x<4.0) = 0.21186
P(x>4.0) = 1 - P(x<4.0)
= 1 - 2.1186
= 0.78814
The probability that the rod you chose will be greater than 4.0 inches is 0.78814.
Answer:
Step-by-step explanation:
Given the function: 
f(x) =number of days it would take to complete the project
x =number of full-time workers.
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
Answer:
Step-by-step explanation:
2x - 12 + 3x - 17 = 26
5x - 29 = 26
5x = 55
x = 11
2(11) - 12 = 22 - 12 = 10 EF
3(11) - 17 = 33 - 17 = 16 FG
Answer:
r = 5
Step-by-step explanation:
the sine rules formula :
sin Q/q = sin R/r
=> r = q× sin R / sin Q
= 6× ⅓ / (2/5)
= 2 /(2/5)
= 2× 5/2
= 5
