Currently, the standard deviation is 10, because on average the cards were $10 away from the mean.
Adding another card with value $25 would decrease the standard deviation because it is closer to the mean the the current standard deviation.
Answer:
B
Step-by-step explanation:
First Character: 21 consonant
2nd 3rd and 4th: 10* 9* 8 = 720
Last Character: 26
Total Ways 21 * 720 * 26 = 393120
Make y the subject:
y = 6 - x
Now, use Elimination.
0 = 3x - 3
Divide both sides by 3:
0 = x - 1
So x = 1.
Substitute back into the equation:
y = 6 - (1)
So y = 5.
Hence, the answers are x = 1, y = 5.
Hello!
<h2>
31.3° and 58.7°</h2><h2>
</h2>
To solve, we can set up an algebraic expression.
Complementary angles add up to 90°, and in this instance, one angle is 27.4° more than the other. Therefore:
∠1 = x
∠2 = x + 27.4°
∠1 + ∠2 = 90°
x + (x + 27.4°) = 90°
Combine like terms:
2x + 27.4° = 90°
Subtract 27.4 from both sides:
2x = 62.6°
Divide both sides by 2:
x = 31.3°
Therefore, one of the angles is 31.3°. Solve for the measure of the other angle:
(31.3°) + 27.4° = 58.7°
