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zysi [14]
3 years ago
12

Type the correct answer in each box. If necessary, use /for the fraction bars

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

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Y=99.99+23.75(x-1) as a Y=ax+b equation
Hatshy [7]

Answer:

y = 23.75x  + 76.24

Step-by-step explanation:

We want to rewrite

y = 99.99 + 23.75(x - 1)

in the form

y = ax + b

We expand to get:

y = 99.99 + 23.75x - 23.75

Regroup similar terms:

y = 23.75x - 23.75 + 99.99

Simplify:

y = 23.75x  + 76.24

This is now of the form

y = ax + b

where a=23.75 and b=76.24

6 0
3 years ago
Consider an election with 681 votes a) If there are 5 candidates, what is the smallest number of first-place votes a candidate c
joja [24]

Answer:

137 votes

Step-by-step explanation:

considering an election with 681 votes and 5 candidates up for the election

dividing the votes among'st 5 candidates

= 681 / 5 = 136.2  hence the least number of first-place votes needed by a candidate using the plurality method  would be = 137 votes

136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )

136 + 136 + 136 + 136+136 = 680

hence the remaining vote = 681 - 680 = 1

least first-place vote = 136 + 1 = 137 votes

6 0
3 years ago
How many solutions are there to the system of equations shown below?
Svet_ta [14]

Step-by-step explanation: Notice that the two equations in this problem have the same slope of -1/4 but different y-intercepts.

When lines have the same slopes, they are parallel.

Parallel lines never meet/intersect so there is no solution.

3 0
3 years ago
Sin Ø = -8/17 and cos Ø = 15/17. Find tan Ø
yaroslaw [1]

Answer:

-8/15

Step-by-step explanation:

So remember what sin, cos, and tan are.

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.

Sin=-8/17

So this must mean that opposite is -8, and the hypotenuse is 17.

Next, lets find adjacent. Cos = 15/17

So this must mean that adjacent is 15, and again, hypotenuse is 17.

Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.

<u>Tan: -8/15. </u>

17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.

Hope this helps!

8 0
2 years ago
Find the mean of this data set: 20, 42, 45, 60, 65, 66, 76
Morgarella [4.7K]
Does it ask you to round to the nearest whole number? If so, the answer is 53. If it doesn't, then it should be 53.4
4 0
3 years ago
Read 2 more answers
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