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.
The answer is 216 cubic feet. How? All you have to do is multiply every number then divide it by 2. Like this: 2*12*18=432. 432/2= 216 cubic feet.
Answer:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
✔️The measure of angle CBD is equal to the measure of angle ABE.
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other at a certain point. The diagram given is a typical example. This, vertical opposite angles formed are said to be congruent, that is their measures are equal to each other.
The following statements are true of the given diagram:
✔️The measure of angle <CBA is equal to the measure of angle <DBE.
(<CBA and ,<DBE are vertically opposite angles)
✔️The measure of angle CBD is equal to the measure of angle ABE.
(They are both vertically opposite angles)
✔️The sum of the measures of angles CBD and CBA is 180 degrees.
(<CBA and <CBD are supplementary angles)
Answer:
<h2>4 terms</h2>
Step-by-step explanation:
Term 1: 5x^3
Term 2: 8x^2y
Term 3: 4xy
Term 4: 4
Answer:
87
Step-by-step explanation:
Smaller number = 43
Bigger number= 44
Sum = 43+44