Answer:
-2 +/- [(sqrt 88)/ 4]
or
0.35, -4.35 to the nearest hundredth.
Step-by-step explanation:
2x^2 + 8x - 3 = 0
Using the quadratic formula:
x = [ -8 +/- sqrt (8^2 - 4*2*-3) ] / 4
= -2 +/- (sqrt 88)/ 4
Answer: Angle 2 = 47 degree
Explanation:
Proof that triangle ACB ~ triangle CBD
Angle ABC = Angle CBD (same angle)
If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.
=> angle ACD = Angle CDB
Therefore, triangle ACB ~ triangle CBD (AA)
=> angle C = Angle A
But angle A = 47 degree
Therefore, Angle C = Angle 2 = 47 degree
Answer:
The total cost is D) $141
Step-by-step explanation:
To solve we can use the equation: 
d= number of days m= number of miles
We know both of these values so we can plug them in and solve.
y= 25(3) + 0.10(660)
y= 75 + 66
y = 141
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%
875 × .64= 560
answer: 560 employees eat lunch at the cafeteria on Wednesday.