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
Svetach [21]
2 years ago
14

A rectangles width is 1/4 of its length. It’s area is 9 square units. The equation l(1/4l) =9 can be used to find l, the length

of the rectangle, why is the length of the rectangle?
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
3 0

Answer: the answer is 6

Step-by-step explanation: because 6/4 = 1.5 and 1.5• 6 =9

You might be interested in
4.4x10^-5 in standard form
QveST [7]

The answer is

0.000044

4 0
3 years ago
Read 2 more answers
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
. one decimal place
SOVA2 [1]

Answer:

1. 168

2. 70

3. 15

Hope that this helps!

3 0
3 years ago
Read 2 more answers
draw3 rows with 2 counters in each row write a word problem that can be acted out using these counters
Gnoma [55]
Pretend * is counter

*   *   *
*   *   *

the word problem could be in a box of chocolates there is 3 rows and 2 chocolates in each row how many chocolates are there total.
6 0
3 years ago
Read 2 more answers
a pair of sunglasses is on sale for $26. The original price of the sunglasses was $40. What percent of the original price is the
Xelga [282]
65%...
26 divided by 40 = 0.65 x 100 = 65%
hope this helps!

5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is not equivalent to the others?
    13·1 answer
  • Translate and solve: the quotient of a number x and -8 is 25<br><br> Please help,<br> Thank you :)
    9·1 answer
  • Solve for p. will give brainiest
    10·2 answers
  • 2.5 milliliters of ammonia requires blank milliliters of distilled water ?please help
    9·1 answer
  • Please help me with this question
    14·2 answers
  • I need help what is 7- 5 6/7?
    10·1 answer
  • What is a slope of a line between the x-axis and y-axis​
    10·1 answer
  • Please help I'm lost
    6·1 answer
  • How many members did not vote for the art club the percent is 75% and there are 60 people?
    8·2 answers
  • When multiplying decimals, what do you do with the decimal point?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!