B since 11+11=22 and 3/7+4/7=1, 22+1=23
Answer:
I can't solve and show it but only tell a method to do it!
So find the zero of the given factor:
i.e.
Now put its value (-1) in the polynomial
Now if the answer comes zero it is a factor.
You'll get your answer!
Answer:
d=8.0 meters
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
We are given the volume and the height
117.23 and the height 7
117.23 = 1/3 *3.14 *r^2 * 7
117.23 = 7.3266666666 *r^2
Divide each side by 7.3266666666
117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666
16.00045496 = r^2
Take the square root of each side
sqrt(16.00045496) =sqrt( r^2)
4.000 = r
We found the radius but it wants the diameter
d = 2*r
d =2*4.0
d=8.0 meters
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.
