The answer is x=2+5i or 2-5i
Answer:
So the value of the test statistic is -0.85.
Step-by-step explanation:
We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.
We get that:
![n=1800\\\\p_1=53\%=0.53\\\\p_2=54\%=0.54\\](https://tex.z-dn.net/?f=n%3D1800%5C%5C%5C%5Cp_1%3D53%5C%25%3D0.53%5C%5C%5C%5Cp_2%3D54%5C%25%3D0.54%5C%5C)
We calculate the standar deviation:
![\sigma=\sqrt{\frac{0.53 \cdot (1-0.53)}{n}}=\sqrt{\frac{0.53 \cdot 0.47}{1800}}=0.01176](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B%5Cfrac%7B0.53%20%5Ccdot%20%281-0.53%29%7D%7Bn%7D%7D%3D%5Csqrt%7B%5Cfrac%7B0.53%20%5Ccdot%200.47%7D%7B1800%7D%7D%3D0.01176)
We calculate the value of the test statistic:
![z=\frac{p_1-p_2}{\sigma}=\frac{0.53-0.54}{0.01176}=-0.85](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bp_1-p_2%7D%7B%5Csigma%7D%3D%5Cfrac%7B0.53-0.54%7D%7B0.01176%7D%3D-0.85)
So the value of the test statistic is -0.85.
Answer:
The length of the park is 175 feet
Step-by-step explanation:
Let us solve the question
∵ The perimeter of a rectangular park is 500 feet
∵ The formula of the perimeter of the rectangle is P = 2(L + W)
∵ L is the length and W is the width
→ Equate the rule of the perimeter by 500
∴ 2(L + W) = 500
→ Divide both sides by 2
∴ L + W = 250 ⇒ (1)
∵ The length of the park is 100 feet longer than the width
→ That means L is W plus 100
∴ L = W + 100 ⇒ (2)
→ Substitute L in (1) by (2)
∵ W + 100 + W = 250
→ Add the like terms
∵ (W + W) + 100 = 250
∴ 2W + 100 = 250
→ Subtract 100 from both sides
∵ 2W + 100 - 100 = 250 - 100
∴ 2W = 150
→ Divide both sides by 2
∴ W = 75
→ Substitute the value of W in (2) to find L
∵ L = 75 + 100 = 175
∴ The length of the park is 175 feet
A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).
Answer:
18/100 or 9/50
Step-by-step explanation:
0.18 = 0.18/1
times 100 then 18/100
divided by 2 then 9/50