Answer:
D
Step-by-step explanation:
A negative discriminant indicates that the quadratic equation has no real roots.
Thus the graph does not touch or intersect the x- axis
The only graph that does not touch or intersect the x- axis is the fourth one
Answer:
11
Step-by-step explanation:
Just count it
The two possible answers are w = 3 and w = -1/5
These answers can be obtained through solving to the absolute value symbols.
<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8
Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.
5w - 7 = 8
5w = 15
w = 3
AND
5w - 7 = -8
5w = -1
w = -1/5
CENTRAL ANGLE:
<span>There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.
</span>
<span>The full circle in degrees is 360°, but you want radians. </span>
<span>The full circle in radians is 2π. </span>
<span>2π / 32 </span>
<span>= π/16 radians
</span>
<span>ARC LENGTH </span>
<span>The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.
</span>
<span>AREA OF SECTOR: </span>
<span>Ditto on this. You have the full area from a prior question. Now just divide it by 32</span>
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
