The length of the circumference is (being

the diameter, and using 3.14 for

):

The perimeter of the hexagon is 12 cm.
Hence, the circumference is 0.56 cm longer than the perimeter of the hexagon.
Answer:
x = $11400
Step-by-step explanation:
Naomi is paid $190 per week plus 5.5% of her total sales in dollars, x, which can be represented by g ( x ) = 190 + 0.055 x.
And Josiah is paid $475 per week plus 3% of his total sales in dollars, x, which can be represented by f ( x ) = 475 + 0.03 x
Let the weekly pat for them are equal.
Then, g(x) = f(x)
⇒ 190 + 0.055 x = 475 + 0.03 x
⇒ 0.025 x = 285
⇒ x = $11400
Therefore, for the value of x = $11400, that will make their weekly pay the same. (Answer)
Answer:
y = |x| + 3.
Step-by-step explanation:
The movement of the y value from 1 to 4 is a translation of 3 units upwards.
The graph is y = |x| + 3.
Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14