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Kaylis [27]
2 years ago
15

Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, which of the follo

wing statements is TRUE?
A.
It is equally likely to be heads or tails.

B.
It is not likely to be tails.

C.
It is more likely to be heads.

D.
It is more likely to be tails.
Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0

Answer:

C

Step-by-step explanation:

because if the pattern were 2 on heads and three on tails the next flip would be heads

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If the measure of one exterior angle of a regular polygon is 156 degrees , how many sides does the polygon have ?
Burka [1]

Answer:

15  sides

Step-by-step explanation:

with regular polygons it is best to work with the exterior angles since the sum of exterior angles is  360  degrees

one exterior angle =  180  − one interior angle

∴  one ext. <  =  180  −  156 =  24  degrees

no of sides  = 360 /24 =  15  s i d e s

8 0
2 years ago
The amount of money in dollars in a na account after t years is given
iren [92.7K]
What are the number or what is the equation.What amount of dollars
7 0
3 years ago
The Municipal Transit Authority wants to know if, on weekdays, more passengers ride the northbound blue line train towards the c
Kitty [74]

Answer:

The 90% confidence interval  -49.8

The null hypothesis is  H_o : \mu_1 = \mu_2

The alternative hypothesis H_a  :  \mu_1 <  \mu_2

The distribution test statistics is t = -3.222

The rejection region is  p-value < \alpha

The decision rule is reject the null hypothesis

The conclusion is

      There is sufficient evidence to conclude that there are more passengers riding the 8:30  train

The p-value  is  p-value  =0.000951

Step-by-step explanation:

From the question we are told that

    The first sample size n_1 = 30

    The first sample mean is  \= x _1 = 323

    The first standard deviation is s_1 = 41

    The second sample size is n_2 = 45

    The second sample mean is  \=x_2 = 356

    The second standard deviation is s_2 = 45

given that the confidence level is 90% then the level of significance is mathematically represented as

          \alpha  = (100 -90)\%

         \alpha  = 0.10

Generally the critical value of \frac{\alpha }{2} obtained from the normal distribution table is  

   Z_{\frac{\alpha }{2} } = 1.645

Generally the pooled variance is mathematically represented as

        s^2 = \frac{(n_1 - 1)s_1^2  + (n_2 -1)s_2^2 }{n_1 + n_2 -2}

      s^2 = \frac{(30 -1)(41^2) + (45-1)45^2}{30+45 -2}

     s^2 = 1888.34

Generally the standard error is mathematically represented as

     SE =  \sqrt{\frac{s^2}{n_1} + \frac{s^2}{n_2}  }

=>  SE =  \sqrt{\frac{1888.34}{30} + \frac{1888.34}{45}  }

=>   SE =  10.24

Generally the margin of error is mathematically evaluated as  

      E =  Z_{\frac{\alpha }{2} } * SE

       E =  1.645* 10.24

       E = 16.85

Generally the 90% confidence interval is mathematically represented as

     \=x_1 -\=x_2 -E < \mu_1 -\mu_2 < \=x_1 -\=x_2 +E

     323 -356 -16.84

     -49.8

The null hypothesis is  H_o : \mu_1 = \mu_2

The alternative hypothesis H_a  :  \mu_1 <  \mu_2

Generally the test statistics is mathematically represented as

     t =  \frac{\= x_1 - \=x_2 }{SE}

=>   t = \frac{323-356}{10.24}

=>   t = -3.222

Generally the degree of freedom is mathematically represented as

     df =  n_1+n_2 -2

      df = 30 + 45 -2

     df = 73

The p-value is obtained from the student t distribution table at degree of freedom of 73 at 0.05 level of significance

    The value is  p-value  =0.000951

Here the level of significance is  \alpha =  5\%  =  0.05

Given that the p-value < \alpha then we  reject the null hypothesis

Then the conclusion is  

  There is sufficient evidence to conclude that there are more passengers riding the 8:30  train

               

5 0
3 years ago
Please Helpppp!!!!! I Have no clue I forgot how to find the slope.
monitta
Answer: 2/3

Explanation: the difference between -14 and -10 is 4 and in fractions x/y. so we have 4/y. the difference between -18 and -12 is 6 so we have 4/6 but we can simplify that to 2/3.
6 0
2 years ago
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Did anyone take the Linear Functions Unit Test for CCA grade 10?? I could really use the help!!
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Yeah post the questions I'll see if I can answer them
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2 years ago
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