4 2/3+5x=7-2x
Add 2x to both sides.
4 2/3+7x=7
Subtract 4 2/3 on both sides.
7x=2 1/3
7x=7/3
Divide by 7 on both sides.
x=1/3
answer: x=1/3
Answer:
-12
Step-by-step explanation:
Since a = -6,we have to multiply 2 and -6,and you get -12 bc we have to put the sign of the bigger digit which is -6 in this problem,so you have to write -12
Answer: 57 ft²
Step-by-step explanation:
Find the areas of the two individual rectangles and then add that up to find the area of the figure:
Rectangle A: Rectangle B:
= Length * Width = 11.5 * 3
= 7.5 * 3 = 34.5ft²
= 22.5 ft²
Area of figure:
= 22.5 + 34.5
= 57 ft²
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.
Translation means you are shifting the line either up or down.
