The answer is 2j + k
Here's how I got my answer:
Step 1: Simplify it to
Step 2: Collect the like terms
Step 3: Simplify to 2j + k
<span>1 less than 4 times a number is 49...
</span>4x-11=49
now we add 11 on both sides and get...
4x=60
now we divide 4 on both sides...
x=15
(leave a thanks and a rating if i helped) c:
Answer:
a) 0.0016
b) 0.0224
Step-by-step explanation:
If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.
a)Find the probability she lucks out and answers all four questions correctly.
To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:
0.20 x 0.20 x 0.20 x 0.20 = 0.0016
The probability that she answers all 4 questions correctly is 0.0016.
b) Find the probability that she passes the quiz.
To pass the quiz, she has to have three OR 4 correct answers:
- The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
- We already calculated the probability that she guesses 4 answers correctly: 0.0016.
Now, we have to sum up these two scenarios:
0.0064 + 0.016 = 0.0224.
Thus, the probability that she passes the quiz is 0.0224
To find the number of soccer balls that would be needed to cover the distance to the goal, you will need to find the diameter of the soccer ball.
To find the diameter use be formula for circumference to solve for the diameter.
C = pi x d
28 = 3.14 x d
d = 8.9 inches
The distance to cover is 24 feet, so convert to inches and divide by 8.9 inches.
24 x 12 = 288 inches
288/8.9 = 32.4 balls
You will need about 32 soccer balls to cover the distance.
Answer:
jorjlq9348
Step-by-step explanation:
Consider the original triangle and the reduction.
A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.