Answer:
Step-by-step explanation:
pop 1 n₁ = 260, p₁ = 58% = 0.58
pop 2 n₂ = 260, p₂ = 8% = 0.08
Null hypothesis: p₁ ≤ p₂
Alternative hypothesis: p₁ > p₂
The test statistic : p₁-p₂ / √{p-sample (1 - p-sample) (1/n₁ + 1/n₂)}
where p-sample is sample proportion = p₁n₁ +p₂n₂ / n₁+n₂
Thus, p-sample = 0.58x260 +0.08x260 / 260+260 =150.8+20.8 / 520 = 171.6 / 520 = 0.33.
Thus, the test statistic is (0.58 - 0.08) / √[0.33 (1-0.33) (0.0038+0.0038)
= 0.5 / √[0.33(0.67) (0.0076)
= 0.5 / √0.00168036
= 0.5 / 0.04099
= 12.20
P = P(Z>12.20) = 1-P(Z≤12.20) at a significance level of 0.1= the p-value is less than the hypothesized thus, we have sufficient evidence to reject the null hypothesis and concluding that vinyl gloves have a greater virus leak than latex gloves.
Answer:
Step-by-step explanation:
The volume of a sphere is
We are told our volume is 500pi/3, so we fill that in and solve for r:
Start by multiplying both sides by 3 over 4 pi:
Simplifying gives us
Take the cubed root of both sides to get that
r = 5
Answer: The required two number will be 247 and 248.
Step-by-step explanation:
Since we have given that
Number of people at the Cineplex on last Saturday=1486
Number of theaters are there=6
Number of people in each theatres is given by
So it must lie between 247 and 248.
As the number of people in each theatre is 247.66 so , it may be between 247 and 248.
So, the required two number will be 247 and 248.
…………………………………………2737483829
<h2>~<u>Solution</u> :-</h2>
If we take the radius of a circle be <u>R</u>. Then, we can define that,
$ R = x $
Hence,
Arcs will be as $ 4x $. As,
A circle can be divided into four parts according to the radius.
Hence, we know that,
- Hence, <em>according to the radius R</em>, a circle can have <u>4 arcs</u>.