Answer:
False
False
True
True
True
Step-by-step explanation:
There cannot be an orange bead in the bag. FALSE
they never said how many colors are in the bag so there is always a possibility.
There must be exactly 1 yellow bean in the bag. FALSE
Just because Ryan only selected 1 yellow bean doesn't mean there is only 1 in the bag.
After 15 trials, Ryan has selected exactly 6 white beads. TRUE
2/5 = 6/15. Ryan has selected 6 white beads
After 16 trials, the experimental probability of selecting a blue bead is 1/4. TRUE
Ryan has selected 4/16 blue beads at the 16th trial.
After 17 trials, the experimental probability of selecting a red bead is 5/17. TRUE
at trial 17, the red bean ratio is 5/17.
1/3 = 5/15 and then 2 more trials make it 5/17.
5 - 4 + 7x + 1 = 7x + (5 - 4 + 1) = 7x + 2
NO SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + a </em><em>(a - any real number, except 2)</em>
ONE SOLUTION:
<em>5 - 4 + 7x + 1 = bx + c </em><em>(b - any real number, except 7, c - any real number)</em>
INFINITELY MANY SOLUTIONS:
<em>5 - 4 + 7x + 1 = 7x + 2</em>
Examples:
2x + 3 = 2x + 5 <em>subtract 2x from both sides</em>
3 = 5 FALSE <em>(NO SOLUTIONS)</em>
2x + 3 = x - 4 <em>subtract x from both sides</em>
x + 3 = -4 <em>subtract 3 from both sides</em>
x = -7 (<em>ONE SOLUTION)</em>
2x + 3 = 2x + 3 <em>subtract 2x from both sides</em>
3 = 3 TRUE <em>(INFINITELY MANY SOLUTIONS)</em>
The sum of the interior angles of a triangle is 180 degrees. Therefore, if we add up all of these angles, they will equal 180.
82 + 55 + x = 180
137 + x = 180
x = 43 degrees
Hope this helps!! :)
Answer:
5.6
Step-by-step explanation:
Use pythag to get SU. 10^2 + x^2 = 15^2, this will give you x = 11.2. 11.2 is the diameter of SU so divide it by 2 to get the radius. 11.2/2= 5.6.