Answer:
-0.4 = −2/5
Step-by-step explanation:
Rewrite the decimal number as a fraction.
-0.4/1
Multiply to remove 1 decimal places.
-0.4/1 x 10/10 =4/10
Find the GCF.
4 ÷ 2/10 ÷ 2 = 2/5
x = 2/5
-2/5
Step-by-step explanation:

We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)

Also we use identity
sin(2x) = 2 sin(x) cos(x)

4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer



We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Answer:
27
Step-by-step explanation:
x + y = 30
0.05x + 0.15y = 1.80
x = 30 - y
1.5 - 0.05y + 0.15y = 1.80
0.10y = 0.30
y = 3 (bottles)
x = 27 (cans)
Answer:

Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 40 dollars
Standard Deviation, σ = 7 dollars
Sample size,n = 51
We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.
Formula:

Standard error due to sampling =

P(sample mean would differ by true mean by more than 0.6)



0.5404 is the required probability.