Answer:
<h3>64°</h3>
Step-by-step explanation:
y = 52° ( Opposite Angles )
y + 2x = 180° ( Interior Angles )
![y + 2x = {180}^{o} \\ {52}^{o} + 2x = {180}^{o} \\ 2x = {180}^{o} - {52}^{o} \\ 2x = {128}^{o} \\ x = \frac{ {128}^{o} }{2} \\ x = {64}^{o} \\](https://tex.z-dn.net/?f=y%20%2B%202x%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%20%20%7B52%7D%5E%7Bo%7D%20%20%2B%202x%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%202x%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20-%20%20%7B52%7D%5E%7Bo%7D%20%20%5C%5C%202x%20%3D%20%20%7B128%7D%5E%7Bo%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B%20%7B128%7D%5E%7Bo%7D%20%7D%7B2%7D%20%5C%5C%20x%20%3D%20%20%7B64%7D%5E%7Bo%7D%20%20%5C%5C%20)
Let us try to formulate the expressions one by one.
let the number be x.
Step 1:
six time the number is 6*x = 6x
Step 2:
product of the number and -3 is -3x
Step 3:
now let us make equation for it:
![6x = -3x +45](https://tex.z-dn.net/?f=%206x%20%3D%20-3x%20%2B45%20)
adding 3x on the left side,
![6x+3x = 45](https://tex.z-dn.net/?f=%206x%2B3x%20%3D%2045%20)
![9x = 45](https://tex.z-dn.net/?f=%209x%20%3D%2045%20)
dividing right side by 9
x=45/9 = 5
So the number is x=5
Answer:(-22)
Step-by-step explanation:
What is the value of h (-2) when h (3) = 32 +1?
hx3=33
33 divided by 3
which means h=11
that makes 11(-2)
=(-22)
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.