Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.
So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.




The answer is 28.1 degrees
There are 6 apples and 2 oranges.
So the ratio of apples to oranges would be 6:2.
However this can be simplified, because these number have a common factor, which is 2. So you divide 2 by 2, and 6 by 2, and get 1 and 3. So the ratio of apples to oranges in simplified form is 1:3. Hope this explains it :)
Hey the image doesn't appear for me
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Expanding by FOIL (First Inside Outside Last)
- Combining like terms
Step-by-step explanation:
<u>Step 1: Define equation</u>
y = -(x - 3)² + 8
<u>Step 2: Rewrite</u>
- Expand [FOIL]: y = -(x² - 6x + 9) + 8
- Distribute -1: y = -x² + 6x - 9 + 8
- Combine like terms: y = -x² + 6x - 1