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shepuryov [24]
3 years ago
10

A quarter has a diameter of 2.4. if it makes 8 rotations how far did it roll

Mathematics
2 answers:
Damm [24]3 years ago
8 0
Radius = 2.4/2
1.2
circumference = 2piR
= 12/5 pi
Distance = 12/5 pi * 8
= 60.3 units
PolarNik [594]3 years ago
5 0

Answer:

7.536

Step-by-step explanation:

I think it means to find the perimeter  and multiply it by 8.

The perimeter of a circle is called the circumference.

C = pi(d)

C = pi(2.4)

C = 7.536

My teacher has us use 3.14 for pi so if your teacher has you use something else just multiply it by 2.4.

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A person purchased a slot machine and tested it by playing it 1,137 times. There are 10 different categories of outcomes, includ
ivann1987 [24]

Answer:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

Step-by-step explanation:

A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.

p_v represent the p value for the test

O= obserbed values

E= expected values

The system of hypothesis for this case are:

Null hypothesis: O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i

The statistic to check the hypothesis is given by:

\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

On this case after calculate the statistic they got: \chi^2 = 11.517

And in order to calculate the p value we need to find first the degrees of freedom given by:

df=n-1=10-1=9, where k represent the number of levels (on this cas we have 10 categories)

And in order to calculate the p value we need to calculate the following probability:

p_v= P(\chi^2_{9}>11.517)=0.2419

And on this case if we see the significance level given \alpha=0.1 we see that p_v>alpha so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

6 0
3 years ago
Plzzz zhelpppp plzzz​
Novosadov [1.4K]

Answer: true

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the area of the shape given above?!? Someone please help this is due today
LenaWriter [7]

Answer:

15 m

Step-by-step explanation:

First split the shape into a square and a triangle, then find the area of the square by multipliyng the sides to get.

Next find the length of the traignel by subtracting 3 from 9 to get for then find the area of the triangle by multiplying 4 by 3 to get 12 then divide by 2 to get the area which is 6.  

Finally add the 9 to the 6 to get 15

3 * 3 = 9

9 - 3 = 4

4 * 3 = 12/2 = 6

6+9=15

7 0
2 years ago
Winning number is increased by 5% the result is 25 was the original number to the nearest 10th
timofeeve [1]
The original number to the nearest tenth is 23.8
8 0
3 years ago
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over
solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0
3 years ago
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