1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
rjkz [21]
4 years ago
13

Complete each sentence to make a true statement.

Mathematics
2 answers:
storchak [24]4 years ago
8 0

Answer:

1/6, 1/4.

Step-by-step explanation:

The theoretical probability of rolling a 2 on a single roll of a number cube is 1/6,  because there are 6 numbers ( 1 to 6) on a cube.

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is 1/4, because there are 4 different colours on the spinner.

Vinil7 [7]4 years ago
8 0

Answer:

(a) 1/6

(b) 1/4

Step-by-step explanation:

Formula for theoretical probability:

probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

(a)

We need to find the theoretical probability of rolling a 2 on a single roll of a number cube.

Total outcomes = 6

Favorable outcomes = 1

The theoretical probability of rolling a 2 on a single roll of a number cube is

P=\frac{1}{6}

(b)

We need to find the theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

Total outcomes = 4

Favorable outcomes = 1

The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue, 1 red, and 1 orange section is

P=\frac{1}{4}

You might be interested in
Joseph drives 125 miles in 2 1/2 hours. At the same rate , how far will he be able to travel in 6 hours ?
Mariana [72]

Answer:

Step-by-step explanation:

300 miles

125/2.5= 50 miles per hour

50*6=300

8 0
3 years ago
Read 2 more answers
12 to the third power?
ser-zykov [4K]

Answer:

1728

Step-by-step explanation:

12*12*12

4 0
3 years ago
Read 2 more answers
Wal-Mart conducted a study to check the accuracy of checkout scanners at its stores. At each of the 60 randomly selected Wal-Mar
Mamont248 [21]

Answer:

a

The 95% confidence interval is

   0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

b

  Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

c

 n =  125  \  stores  

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  60  

    The number of stores that had more than 2 items price incorrectly is  k =  52  

   

Generally the sample proportion is mathematically represented as  

             \^ p  =  \frac{ k }{ n }

=>          \^ p  =  \frac{ 52 }{ 60 }

=>          \^ p  =  0.867

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>   E =  1.96  * \sqrt{\frac{ 0.867  (1- 0.867)}{60} }

=>   E =  0.0859

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.867  - 0.0859  <  p <  0.867  +  0.0859

=>    0.7811 <  p <  0.9529

Generally the interval above can interpreted as

    There is 95% confidence that the true proportion of Wal-Mart stores that have more than 2 items priced inaccurately per 100 items scanned lie within the interval  

Considering question b

Generally  99% is outside the interval obtained in a  above then the claim of Wal-mart is not believable  

   

Considering question c

From the question we are told that

    The margin of error is  E = 0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=> n=  [\frac{1.645 }}{0.05} ]^2 * 0.867  (1 - 0.867 )

=>   n =  125  \  stores  

4 0
3 years ago
What is the result when 6x^3+25x^2+20x+46x
goldenfox [79]

Answer:

The answer to your question is 2x² - 29x + 26

Step-by-step explanation:

dividend =  6x³ - 25x² + 20x + 4

divisor    =  3x + 2

                             2x² - 29x + 26

               3x + 2    6x³ - 25x² + 20x + 4

                            -6x³ -   4x²  

                              0   - 29x² + 20x

                                   + 29x² + 58x

                                       0         78x + 4

                                                 -78x - 52

                                                    0   - 48

quotient =   2x² - 29x + 26

remainder = -48

Result =  2x² - 29x + 26 - 48/6x³ - 25x² + 20x + 4

6 0
3 years ago
what is the slope and y-intercept? write the equation. this is finally the last problem on my homework
IgorLugansk [536]

(y2-y1)/(x2-x1)

3-2=1

4-2=2

slope: 1/2

y-int: 1

y=1/2x+1

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of angle B in the triangle?<br><br> This triangle is not drawn to scale.
    8·1 answer
  • Read the following word problem, then choose which linear equation models the problem.
    7·1 answer
  • Width of an MP3 player
    8·1 answer
  • John rides his bike to work each day. The distance between his house and his work is approximately 6.5 miles, and it takes him o
    7·1 answer
  • Alyssa divides a granola bar into halves. How many equal parts are there?
    15·1 answer
  • what is the first to last in this question 1,450 1,776 1,670 1,483 which one is the smallest and which is the biggest
    15·2 answers
  • at time t, in hours, a lake is covered with ice of thickness y cm, where y = .5 t^1.5 . if ice forms for 0 &lt;= t &lt;= 6, at w
    6·1 answer
  • If your are flying in a plane going 500km/h, how far (in km) will you go in 2 hours and 15 minutes
    9·2 answers
  • Please help meeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee and thankyouuuuuuuuuuuuuuuu
    8·1 answer
  • Need help ASAP! Directions in picture ;)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!