Which are correct definitions for history?
1 answer:
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Answer:
Step-by-step explanation:
cot(-11pi/6)=cot(-pi-5pi/6)= -cot(5pi/6)=cot(pi/6)=≈1.73
Answer:
The correct option is D.
Step-by-step explanation:
The given equation is
According to the addition property of equality and
are equivalent equations.
Use addition property of equality, add 3x on both the sides.
Therefore Sam's work is incorrect because he make calculation mistake.
According to the subtraction property of equality and
are equivalent equations.
Use subtraction property of equality, subtract 5x from both the sides.
Therefore Roy's work is correct because he used subtraction property.
Option D is correct.
Answer:
P(X is greater than 30) = 0.06
Step-by-step explanation:
Given that:
Sample proportion (p) = 0.5
Sample size = 30
The Binomial can be approximated to normal with:
To find:
P(X> 30)
So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5
Normal distribution:
x = 30.5, = 25,
= 3.536
Using the z test statistics;
z = 1.555
The p-value for P(X>30) = P(Z > 1.555)
The p-value for P(X>30) = 1 - P (Z< 1.555)
From the z tables;
P(X> 30) = 1 - 0.9400
Thus;
P(X is greater than 30) = 0.06