Answer:
31
Step-by-step explanation:
first find f(-3)
f(-3) = (-3)^2 +5
= 9+5 = 14
The find g(f(-3) = g(14)
= 3*14-11
= 42-11
=31
Answer:
LN=64 units
Step-by-step explanation:
step 1
Find the value of x
we know that
LN=LM+MN -----> equation A
see the attached figure to better understand the problem
we have
LN=12x+16
LM=10x+8
MN=5x-4
substitute the values in the equation A
12x+16=(10x+8)+(5x-4)
Solve for x
12x+16=15x+4
15x-12x=16-4
3x=12
x=4
step 2
Find the value of LN
LN=12x+16
LN=12(4)+16=64 units
The graphs for this are very small, but I think the one that represents the solution is the third one, because with the x being 4 and the y being 0, that would make the point (4, 0) and satisfy the equation. With x being 0 and y being -2, the other point would be (0, -2). The graphs are too small to read, but whichever graph intersects over those two points I named is the answer.
Answer: We accept H₀
There is not convincing evidence that the mean contents of cola is less thanthe advertised
Step-by-step explanation:
Our case normal distribution, with σ = 3
The sample is of 6 then n = 6
The calculated mean from given data is : 299.03
sgnificanc level: α = 0.05
Then H₀ null hypothesis μ₀ = 300
the alternative hypothesis μₐ < 300
As n < 30 we have to go to t table we look fr α = 0.05 and gl = 5
we find t(c) = 2.015
Now we calculate t (s) = ( x - μ₀ )/( σ/√n ) t(e) = -0.97/1.224
t(s) = - 0.79
The test is one tail test ( to the left) and t(s) = -0,79 is bigger than
t (c) = -1.64
So we are in the acceptance zone. We accept H₀
Answer:
Sorry but I'm confused between c and d