Answer:
D
Step-by-step explanation:
I dont kno what the total is but i needed points sorry hahaha
Answer:
(0.46, 0.52)
Step-by-step explanation:
The formula for Confidence Interval with Proportion
CI = p ± z × √p(1 - p)/n
Where
p = Proportion = x/n
x = 346
n = 706
p = 346/706
p = 0.49
z = z score of Confidence Interval 90% = 1.645
Therefore:
CI = 0.49 ± 1.645 × √0.49(1 - 0.49)/706
CI = 0.49 ± 1.645 × √0.49 × 0.51/706
CI = 0.49 ± 1.645 × 0.0188139843
CI = 0.49 ± 0.0309490042
Hence:
Confidence Interval is
0.49 - 0.0309490042
= 0.4590509958
≈ 0.46
0.49 + 0.0309490042
= 0.5209490042
≈ 0.52
Therefore , the confidence interval of the population proportion is
(0.46, 0.52)
I don’t think you can factor it any further
To find all the combinations you need to solve this system of inequations:
8m + 12w ≤ 240
m ≥ 3
w ≥ 3
w ≥ 2m
The way to solve that system is by graphing each inequation in the same system of coordinates (m,w).
From the combinations listed, 6 men's shirts and 15 women's shirts is the only valid one.
8*6 + 12*15 = 228 ≤ 240
6 ≥ 3
15 ≥ 3
15 ≥ 2(6)
Then, the answer is option C. 6 men's shirts and 15 women's shirts
