Answer:
B
Step-by-step explanation:
First turn this into an equation
7x+8x+44.4=180
Now collect like terms
15x+44.4=180
Next take away 44.4 from 180
15x=135.6
Finally divide 135.6 by 15
x=9.04
To calculate the shaded angle substitute 9.04 for x
8x=8×9.04
8x=72.32
The shaded angle is 72.32°
1 1/2x = 1
3/2x = 1
x = 1 * 2/3
x = 2/3 <===
Answer: 5x + 15
<u>Step-by-step explanation:</u>
Divide (x² + 5) into (x³ + 4x² + 5) to see what is needed to make a remainder of zero.
Let k represent the unknown number.
<u> x + 4 </u>
x² + 5 ) x³ + 4x² + 0x + 5+k
- <u>(x³ + 5x)</u>
4x² - 5x + 5+k
- <u>(4x² + 20)</u>
In order to have a remainder of zero, 4x² -5x + 5 + k must equal 4x² + 20
Solve for k:
4x² -5x + 5 + k = 4x² + 20
-5x + 5 + k = 20 <em>subtracted 4x² from both sides</em>
5 + k = 5x + 20 <em>added 5x to both sides</em>
k = 5x + 15 <em>subtracted 5 from both sides</em>
Answer:
Probability = 0.4443
Step-by-step explanation:
The provided information is:
Consider X be the weight of extra-large egg that is normally distributed with mean 
and standard deviation 
Also, sample size n = 12.
Thus, the probability that an egg in a carton of a dozen eggs weights more than 3.5 oz is:
