Answer:
tangent theta = 12/5,
cosecant theta = 13/12
secant theta = 13/5
Cotangent theta = 5/12
Step-by-step explanation:
Given sine theta= 12/13, cosine theta= 5/13.
According to SOH CAH TOA
Sintheta = Opposite/Hypotenuse = 12/13
Cosine theta = Adjacent/Hypotenuse = 5/13
Opposite = 12, Adjacent = 5, Hypotenuse = 13
Tan theta = Opposite/Adjacent = 12/5.
cosecant theta = 1/sintheta = 1/{12/13}
cosecant theta = 13/12
secant theta = 1/cos theta = 1/{5/13}
Secant theta = 13/5.
Cotangent theta = 1/tan theta = 1/{12/5} = 5/12
D) landing on a number greater than 10
Answer:
Faces: 7, Edges: 12, Vertices: 7
Step-by-step explanation:
Just count them
Answer:
The required amount of mice is 11.82 gram.
Step-by-step explanation:
Given : Assuming that it is known from previous studies that σ = 4.5 grams. If we wish to be 95% confident that the mean weight of the sample will be within 3 grams of the population mean for all mice subjected to this protein diet.
To find : How many mice should be included in our sample?
Solution :
The formula used in the situation is

Where, z value at 95% confidence interval is z=1.96
gram is the mean of the population
gram is the standard deviation of the sample
Substituting the value, to find x sample mean





Therefore, The required amount of mice is 11.82 gram.
Answer: correct option is A
0.100
Step-by-step explanation:
Given that
population = 500 elements.
To draw a simple random sample of 50 elements from this population. On the first selection
The probability = 50/500 = 0.1
The probability of an element being selected is 0.100