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docker41 [41]
3 years ago
7

Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his

decision. He tested this model 60 times and recorded the results in this table.
Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

<u><em>The relative frequency of rolling a particular number can be calculated using the formula </em></u>

<u><em> </em></u>

<u><em>relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results: </em></u>

<u><em> </em></u>

<u><em>The relative frequency of rolling a 1 is 0.2. </em></u>

<u><em>The relative frequency of rolling a 2 is about 0.23. </em></u>

<u><em>The relative frequency of rolling a 3 is about 0.13. </em></u>

<u><em>The relative frequency of rolling a 4 is 0.15. </em></u>

<u><em>The relative frequency of rolling a 5 is 0.15. </em></u>

<u><em>The relative frequency of rolling a 6 is about 0.13. </em></u>

<u><em>The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability. </em></u>

Step-by-step explanation:

this is exact answer from edmentum so change it up a bit

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Jacob is tiling his square walk with square tiles. He is able to fit 5 tiles up and 5 tiles across. If each tile has a length of
frozen [14]

Answer:

The perimeter of the kitchen wall = 60 b

Step-by-step explanation:

The number if tiles used in the length side of the square walk = 5 tiles

The length of 1 tiles  = 3 b

So, the length of 5 tiles = 5 x ( Length of 1 tile)  

= 5 x (3 b)  =  15 b

So, the length of the square walk = 1 5 b

Perimeter of SQUARE  = 4 x SIDES

⇒ Perimeter of the wall  = 4 x (Side)

                                        = 4 x (15 b)  = 60 b

Hence, the perimeter of the kitchen wall = 60 b

8 0
3 years ago
Each step in a procedure to solve this equation is shown. Equation: 5x – 7 = 3(x + 1) Step 1: 51 – 7 = 3x + 3 Step 2: 2x – 7 = 3
NeTakaya

Answer:

I think the first mistake was made in step 1

5 0
2 years ago
Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x.
Leni [432]

Answer:

a)

g(2.9) \approx -6.6

g(3.1) \approx -3.4

b)

The values are too small since g'' is positive for both values of x in. I'm speaking of the x values, 2.9 and 3.1.

Step-by-step explanation:

a)

The point-slope of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on that line.

We want to find the equation of the tangent line of the curve g at the point (3,-5) on g.

So we know (x_1,y_1)=(3,-5).

To find m, we must calculate the derivative of g at x=3:

m=g'(3)=(3)^2+7=9+7=16.

So the equation of the tangent line to curve g at (3,-5) is:

y-(-5)=16(x-3).

I'm going to solve this for y.

y-(-5)=16(x-3)

y+5=16(x-3)

Subtract 5 on both sides:

y=16(x-3)-5

What this means is for values x near x=3 is that:

g(x) \approx 16(x-3)-5.

Let's evaluate this approximation function for g(2.9).

g(2.9) \approx 16(2.9-3)-5

g(2.9) \approx 16(-.1)-5

g(2.9) \approx -1.6-5

g(2.9) \approx -6.6

Let's evaluate this approximation function for g(3.1).

g(3.1) \approx 16(3.1-3)-5

g(3.1) \approx 16(.1)-5

g(3.1) \approx 1.6-5

g(3.1) \approx -3.4

b) To determine if these are over approximations or under approximations I will require the second derivative.

If g'' is positive, then it leads to underestimation (since the curve is concave up at that number).

If g'' is negative, then it leads to overestimation (since the curve is concave down at that number).

g'(x)=x^2+7

g''(x)=2x+0

g''(x)=2x

2x is positive for x>0.

2x is negative for x.

That is, g''(2.9)>0 \text{ and } g''(3.1)>0.

So 2x is positive for both values of x which means that the values we found in part (a) are underestimations.

6 0
3 years ago
How many games would Chase have to win in a row in order to have a 75% winning record?
morpeh [17]

Answer:

the answer is that he would have to win 7 games in a row to get 75%

Step-by-step explanation:

3 0
3 years ago
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
gogolik [260]

Answer:

a = 4

b = 4

Step-by-step explanation:

This is a special right triangle with angle measures of 45° 45° 90° and side lengths x x x√2

3 0
3 years ago
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