Step-by-step explanation:
OH MY GODD I NEED HELP WITH THIS QUESTION TOOOOOO
Answer:
The mentioned number in the exercise is:
Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
- x = hundredths digit
- y = tens digit
- z = ones digit
We can write:
- x = z + 1 (the hundreds digit is one more than the ones digit).
- y = 2x (the tens digit is twice the hundreds digit).
- x + y + z = 11 (the sum of the digits is 11).
Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
- x + y + z = 11
- (z + 1) + y + z = 11 (remember x = z + 1)
- z + 1 + y + z = 11
- z + z +y + 1 = 11 (we just ordered the equation)
- 2z + y + 1 = 11 (z + z = 2z)
- 2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
- 2z + y = 10
- 2z + (2x) = 10 (remember y = 2x)
- 2z + 2x = 10
- 2z + 2(z + 1) = 10 (x = z + 1 again)
- 2z + 2z + 2 = 10
- 4z + 2 = 10
- 4z = 10 - 2
- 4z = 8
- z = 8/4
- <u>z = 2</u>
Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
- x = z + 1
- x = 2 + 1
- <u>x = 3</u>
And we'll use the second equation to obtain the value of y (the tens digit):
- y = 2x
- y = 2(3)
- <u>y = 6</u>
Organizing the digits, we obtain the number:
- Number = xyz
- <u>Number = 362</u>
As you can see, <em><u>the obtained number is 362</u></em>.
A number cube is rolled 120 times. The number 4 comes up 47 times.
We have to determine the experimental probability of rolling a 4.
The formula to evaluate probability of an event is given by:
Probability = 
So, Probability of rolling a 4 = 
= 
Now, we have to find the theoretical probability of rolling a 4.
Total number of outcomes of number cube = {1,2,3,4,5,6}
Probability of rolling a 4 = 
So, Option B is the correct answer.
Answer:
4 mins 31 seconds
Step-by-step explanation:
Maximum speed is 203 mph equivalent to
Time taken to attain maximum speed,
where v is velocity and a is acceleration hence
The distance traveled when at top speed
Total distance is provided as 12.42 miles converted to ft is 12.42*5280=65577.6 ft
Total distance-distance moved to attain maximum speed will be
65577.6 ft-15127.2 ft=50450.44 ft
Time taken during maximum speed
Total time=101.6155 s+169.45 s=271.06 s
271.06/60=4 mins 31 seconds
It is $0.05 per ounce, so at that rate, a 128 oz container would cost $6.40.