Answer:
c=−3 or c=7
Step-by-step explanation:
Step 1: Cross-multiply.
c/3= 7/c−4
c*(c−4)=(7)*(3)
c2−4c=21
Step 2: Subtract 21 from both sides.
c2−4c−21=21−21
c2−4c−21=0
Step 3: Factor left side of equation.
(c+3)(c−7)=0
Step 4: Set factors equal to 0.
c+3=0 or c−7=0
c=−3 or c=7
The line y = (1/2)x + 2 has a slope of 1/2 and a y-intercept of 2. Since
the actual inequality is that y > (1/2)x + 2, then the shaded
portion that satisfies this inequality will be above the line. Its
y-intercept at (0, 2) means that the origin is below this line, so the
origin is NOT included in the shaded region, and the shaded region is
above the line. (This is the 1st choice).
Answer: C. Stratification
Step-by-step explanation: There are diverse samping techniques employed for statistical purposes depending on the tipe and nature of data available or other factors. When a data population is sampled in sects such that the entire data is divided into a equals groups at a fixed intervals based on a certain criteria, it is called stratified sampling. Here, data is divided into strata, with each stratum containing a fixed amount of samples with each partition taking place at regular interval. In the scenario stratification process is employed by sampling at a fixed and regular interval, however, the random nature of the data is not violated.
Mean = 8
The mean is the average number in a sequence. To find the mean we can simply use the following equation
(Sum of all numbers) ÷ (Amount of numbers)
The sum of the given numbers is <em>160</em>
The amount of numbers is <em>20</em>
<em />
So the mean = 160 ÷ 20 or 8.
The answer is -sin(30<span>°)
You can use calculator if you want to verify or to compare values if equal.
</span>
