The '68-95-99.7 ' rule says,
-About 68% of values fall within one standard deviation of the mean.
-About 95% of the values fall within two standard deviations from the mean.
-Almost all of the values — about 99.7% — fall within three standard deviations from the mean.
Here
The length falls within one standard deviation of the mean.
Therefore, the probability 
The required probability is
The factorized expression of 8^3 + 12x is 4(128+ 3x)
<h3>How to factor the common factor out?</h3>
The expression is given as:
8^3 + 12x
Evaluate 8^3
8^3 + 12x = 512 + 12x
Factor out 2 from the expression
8^3 + 12x = 2(256+ 6x)
Factor out 2 from the expression
8^3 + 12x = 2 * 2(128+ 3x)
Evaluate the product
8^3 + 12x = 4(128+ 3x)
Hence, the factorized expression of 8^3 + 12x is 4(128+ 3x)
Read more about factorized expressions at
brainly.com/question/22048677
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Answer:
x = -0.2
Step-by-step explanation:
Cross multiply
9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.
1.8 (6x + 1) = 1.8 x Remove the brackets on the left
1.8*6x + 1.8 = 1.8x Multiply the factors on the left. Don't do anything with the plus sign
10.8x + 1.8= 1.8x Subtract 1.8 from both sides
10.8x = 1.8x - 1.8 Subtract 1.8x from both sides
10.8x - 1.8x = -1.8
9x = - 1.8 Divide by 9
x = -1.8/9
x = - 0.2
Check
This is one question you should check. There's lot's of room for an error.
<em><u>LHS</u></em>
0.2(6x+1)/3.6
0.2(6 * -0.2 + 1) / 3.6
0.2( - 1.2 + 1) / 3.6
0.2( - 0.2) / 3.6
- 0.04 / 3.6
- 0.011111111
<em><u>RHS</u></em>
0.5 ( - 0.2)/9
-0.1/ 9
- 0.0111111 And the left and right side check.
Answer:
2x^2 + 3x + - 2 + 7
4x + 3x - 2 + 7
7x + 5
Step-by-step explanation:
2x^2 + 3x + - 2 + 7
4x + 3x - 2 + 7
7x + 5
Answer:
81
Step-by-step explanation:
Using PEMDAS/BODMAS, we will have to do the exponent first, which is 
.
Substitute the variable z with 6, since z = 6.
.
Thus, we will get
Solve the multiplication next.
Finally, add/subtract the numbers:
