Answer: x = 12
Step-by-step explanation:
We know that the whole angle is 90°. Therefore, we can set up our equation like this:
90 = 50 + 3x + 4
Lets combine like terms:
90 = 54 + 3x
Now, let’s isolate the variable. To do this, we have to move 54 to the other side, making it negative.
90 - 54 = 3x
36 = 3x
Now, you divide, the leave the variable by itself.
=
Therefore, x = 12.
Answer:
4.8 pounds!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
8.2 grams = 1 mol
Na ________
22.99 grams
First multiply the value of 8.2 to 1. Then divide by the value of 22.99 to determine the number of moles of sodium present in the 8.2 gram sample.
Then use the following equation to solve for sodium atoms.
Number of moles of Na • Avogadro Number = Number of sodium atoms.
0.3566782 • (6.02 X 10^23). = 2.1472 X 10 ^ 23. Or 2.15 X 10 ^ 23.
The answer is the second option - 2.15 X 10 ^ 23.
Answer:
49,650
Step-by-step explanation:
Divisor is 4.077. So, if you round that number to 4 and divide 198,600 by 4, you get 49,650.
Answer:
a) 0.778
b) 0.9222
c) 0.6826
d) 0.3174
e) 2 drivers
Step-by-step explanation:
Given:
Sample size, n = 5
P = 40% = 0.4
a) Probability that none of the drivers shows evidence of intoxication.
b) Probability that at least one of the drivers shows evidence of intoxication would be:
P(X ≥ 1) = 1 - P(X < 1)
c) The probability that at most two of the drivers show evidence of intoxication.
P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)
d) Probability that more than two of the drivers show evidence of intoxication.
P(x>2) = 1 - P(X ≤ 2)
e) Expected number of intoxicated drivers.
To find this, use:
Sample size multiplied by sample proportion
n * p
= 5 * 0.40
= 2
Expected number of intoxicated drivers would be 2