Answer:
Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30. I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30. If the factors are just 1 and that number it is prime. If there are other factors, it is composite. 30 would be composite.
Step-by-step explanation:
Answer:
The value of 4p - 2 is 30
Step-by-step explanation:
If you multiply 4* 8 you get 32
32 - 2 = 30
Answer:
The sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

The margin of error of a (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

The information provided is:
<em>σ</em> = $60
<em>MOE</em> = $2
The critical value of <em>z</em> for 95% confidence level is:

Compute the sample size as follows:

![n=[\frac{z_{\alpha/2}\times \sigma }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\times 60}{2}]^{2}](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%2060%7D%7B2%7D%5D%5E%7B2%7D)

Thus, the sample of students required to estimate the mean weekly earnings of students at one college is of size, 3458.
We will check each options and verify it
(a)

we can plug m=2



so, this is FALSE
(b)

we can plug x=3



so, this is TRUE
(c)

we can plug x=3



so, this is FALSE
(d)

now, we can plug x=2



So, this is FALSE
Answer:
The height of the lighthouse is approximately 166.6 feet.
Step-by-step explanation:
Let the height of the lighthouse be represented by s, then;
Tan 48° = (opposite) ÷ (adjacent)
Tan 48° = s ÷ 150
⇒ s = 150 × Tan 48°
= 150 × 1.1106
= 166.59
s ≅ 166.6 feet
Therefore, the height of the lighthouse is approximately 166.6 feet.