(0,4) is the correct answer.
Three-fourths of a number increased by one-half
= 3/4 x + 1/2
So three-fourths of a number increased by one-half is equal to fourteen:
3/4 x + 1/2 = 14
Multiply both sides by 4
3x + 2 = 56
Subtract 2 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer: The number is 18
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
7x− 3 = − 3 + 7x
Step 1: Simplify both sides of the equation.
7x − 3 = −3 + 7x
7x + −3 = −3 + 7x
7x − 3 = 7x − 3
Step 2: Subtract 7x from both sides.
7x− 3 −7x = 7x −3 −7x
−3 = −3
Step 3: Add 3 to both sides.
−3 + 3 = −3 + 3
0 = 0
X=3 because you subtract the three on both sides to get x alone. So you get: 7x=21 then you divide seven by 21 and get x=3
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.