2. Eight cards are marked : (3,4,5,6,7,8,9,10), such that each card has
exactly one of theses numbers. A card is picked without looking.
Determine the probability of choosing a number greater than 5. (decimal)
A .625
B 1.75
C .50
D .60
The answer is C.
Answer:
-5-3i
Step-by-step explanation:
3-8= -5
-5-(-)2i
-5+2i=-3i
Where are the measurements?
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
Answer: 50 square yards
Step-by-step explanation:
From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.
The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet
15 feet = 15/3 = 5 yards
30 feet = 30/3 = 10 yards
Area = 5 × 10 = 50 square yards
