Answer:
458
Step-by-step explanation:
Margin of error = critical value × standard error
At 99% confidence, the critical value is z = 2.576.
The standard error is σ/√n = 5.4/√n.
Given the desired margin of error is 0.65:
0.65 = 2.576 × 5.4/√n
n = 458
Answer: - 25 < x < 5
Step-by-step explanation:The first thing is to Add 23 to both sides
The equation becomes
4 / x + 10 / < 37 + 23
4/x +10 / < 60
Divide through by 4
/ x +10/ < 15
to remove the modulus sign we have
-15< x + 10 < 15
we then solve one by one
firstly , - 15 < x + 10
subtract 10 from both sides
⇒ - 15 - 10 < x
-25 < x
solving the second part
x + 10 < 15
x < 15 - 10
x < 5
combining the two answers
-25 < x < x
That is true. It is the Pythagorean Theorem.
Recall that sin²Ф+cos²Ф=1,
so cos²Ф=1-sin²Ф=(1+sinФ)(1-sinФ)
the (1-sinФ) in the numerator cancel with the (1-sinФ) in the denominator, the result is 1+sinФ
Answer:
The full answer is in the media.Good luck!