Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
Hey there! I am on the same one. :) I will help you out a little.
<span>Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll?
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6
</span>
<span>Using the uniform probability model you developed, what is the probability of rolling an even number?
1/6 Roll a number cube 25 times. Record your results here.
</span><span>
<span><span>
<span>
<span>1st
toss=</span>6</span>
</span>
<span>
<span>
<span>2nd
toss=</span>4</span>
</span>
<span>
<span>
<span>3rd
toss=</span>6</span>
</span>
<span>
<span>
<span>4th
toss=</span>6</span>
</span>
<span>
<span>
<span>5th
toss=</span>3</span>
</span>
<span>
<span>
<span>6th
toss=</span>3</span>
</span>
<span>
<span>
<span>7th
toss=</span>4</span>
</span>
<span>
<span>
<span>8th
toss=</span>2</span>
</span>
<span>
<span>
<span>9th
toss=</span>6</span>
</span>
<span>
<span>
<span>10th
toss=</span>5</span>
</span>
<span>
<span>
<span>11th
toss=</span>1</span>
</span>
<span>
<span>
<span>12th
toss=</span>4</span>
</span>
<span>
<span>
<span>13th
toss = </span>5</span>
</span>
<span>
<span>
<span>14th
toss =</span>1</span>
</span>
<span>
<span>
<span>15th
toss=</span>4</span>
</span>
<span>
<span>
<span>16th
toss=</span>2</span>
</span>
<span>
<span>
<span>17th
toss=</span>2</span>
</span>
<span>
<span>
<span>18th
toss=</span>2</span>
</span>
<span>
<span>
<span>19th
toss=</span>6</span>
</span>
<span>
<span>
<span>20th
toss=</span>5</span>
</span>
<span>
<span>
<span>21st
toss=</span>3</span>
</span>
<span>
<span>
<span>22nd
toss=</span>4</span>
</span>
<span>
<span>
<span>23rd
toss=</span>3</span>
</span>
<span>
<span>
<span>24th
toss=</span>3</span>
</span>
<span>
<span>
25
toss=5
How
many results of 1 did you have? __2____________ How
many results of 2 did you have? ____4__________ How
many results of 3 did you have? ____5__________ How
many results of 4 did you have? ______5________ How
many results of 5 did you have? ______4________
How
many results of 6 did you have? ______5________
Based
on your data, what is the experimental probability of each roll?
<span>
1. 2/25 or 0.08
2. 4/25 or 0.16
3. 5/25 or 0.24
4. 5/25 or 0.2
5.4/25 or 0.16
<span>
6. 5/25 or 0.2</span></span>Using
the probability model based on observed frequencies, what is the probability of
rolling an even number?
3/6 = ½ or 0.5
Was your experimental probability
different than your theoretical probability? Why or why not?
<span>It somewhat is! The
denominator is 25 for the experimental probability, and 6 for the theoretical
probability.</span><span>
</span><span>Have a lovely day! Cheerio. :) </span></span>
</span>
</span></span>
14 divided by 20 is 0.7
Multiply that by 100
The answer is 70%
Answer:
c
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Inverse variation is of the form
xy = k where k is a constant
x=4 and y = 32
4*32 = k
128 = k
xy = 128
Let x = 8
8y = 128
Divide each side by 8
8y/8 = 128/8
y =16
