Answer:
The sample size required is 225.
Step-by-step explanation:
The confidence interval for population mean (<em>μ</em>) is:
The margin of error is:
Given:
The margin of error is, <em>MOE</em> = 0.04
The confidence level is 95.44%.
The critical value of <em>z</em> for 95.44% confidence interval is:
So, .
Determine the sample size as follows:
Thus, the sample size required is 225.
Answer:
Step-by-step explanation:
In a square, each angle is 90.
11x - 32 = 90
Add 32 to both sides
11x = 90 +32
11x = 122
x = 122/11
x =
Answer:
The value of x in centimeters is 22.5 cm
Step-by-step explanation:
The corresponding sides of the similar triangles are proportion which means have equal ratios
∵ Δ ABC is similar to Δ FGH
∵ AB and FG are corresponding sides
∵ BC and GH are corresponding sides
∵ AC and FH are corresponding sides
→ That means the ratios between them are equal
∴ =
=
∵ AB = 6 cm and FG = 15 cm
∵ BC = 5 cm and GH = 12.5 cm
∵ AC = 9 cm and FH = x
→ Substitute them in the rule above to find x
∴ =
=
→ By using cross multiplication with the 1st and 3rd ratios
∵ 6 × x = 15 × 9
∴ 6x = 135
→ Divide both sides by 6 to find x
∵ =
∴ x = 22.5 cm
∴ The value of x in centimeters is 22.5 cm