Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴
10w + 4w = - 84
14w = - 84
w = - 84 : 14
w = - 6 ( answer )
-----------------------------------
10 * (- 6) + 4 * (- 6) = - 84
- 60 + (- 24) = - 84
- 84 = - 84
Answer:
-x + 1 > 3, and 4x + 6 < -2
Step-by-step explanation:
The inequality reads x < -2, so the arrow follows any values that are less than -2. So we need to simplify each inequality in the following options to see which match x < -2.
-4x+3> -5 simplifies to x < 2 so it's wrong
-2x + 4 > -4 simplifies to x < 4 so it's wrong
-x + 1 > 3 simplifies to x < -2, so it's right
2x + 5 < -3 simplifies to x < -4, so it's wrong
4x+ 6 < -2 simplifies to x < -2, so it's right
Answer:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
We will first calculate ∠A:
∠∠A = 180° - ( 105° + 20 ° ) = 180° - 125° = 55°
Then we will use the Sine Law:
15 / sin 55° = AB / sin 20°
15 / 0.81915 = AB / 0.342
AB · 0.81915 = 15 · 0.342
AB · 0.81915 = 5.13
AB = 5.13 : 0.81915
AB = 6.26 ≈ 6.3 miles
Answer: The distance between the locations A and B is 6.3 miles.
