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Usimov [2.4K]
3 years ago
12

A builder needed to buy four hundred fourteen boards for his latest project. If the boards he

Mathematics
2 answers:
allochka39001 [22]3 years ago
3 0

Answer:

21

Step-by-step explanation:

77julia77 [94]3 years ago
3 0

Answer:

21 packages

Step-by-step explanation:

divide 414 from 20 to get 20.7, but the builder needs an exact number of packages to complete the build so you would round up to 21 packages

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2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A
Leokris [45]

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let \mu = <u><em>population mean length of the board</em></u>.

So, Null Hypothesis, H_0 : \mu = 2564.0 millimeters    {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, H_A : \mu \neq 2564.0 millimeters      {means that the boards are either too long or too short}

The test statistics that will be used here is <u>One-sample t-test statistics</u> because we don't know about the population standard deviation;

                             T.S.  =  \frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }  ~  t_n_-_1

where, \bar X = sample mean length of boards = 2559.5 millimeters

            s = sample standard deviation = 15.0 millimeters

             n = sample of boards = 26

So, <em><u>the test statistics</u></em> =  \frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }  ~   t_2_5

                                     =  -1.529    

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

4 0
3 years ago
Please help me with this
pantera1 [17]

Answer:

  • 8 3/4
  • 2, 3
  • 4 1/2, 11 1/4
  • 9 3/4, 16 1/4
  • Y/B = 2/3

Step-by-step explanation:

<h3>a)</h3>

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

Then ...

  Y : B : total = 2 : 3 : 5

This tells you the numbers on the second line are ...

  Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

__

The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

<h3>b)</h3>

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

7 0
2 years ago
Need help with 2 questions !!! It's congruent triangles!! will award brainliest, please help
Blizzard [7]

Answer:

Sorry about the first but I'm pretty sure the second one is MJT if that's what the question is asking.

Step-by-step explanation:


7 0
3 years ago
Can someone help me answer questions 10 and 11?
Alexxandr [17]
10. 10
11. -2.8




Hope u enjoyed xD


7 0
3 years ago
Read 2 more answers
Which of the following are true statements about the expression 6 - (-6) Choose all answers that apply: (Choice A) The expressio
Kipish [7]

Answer: Choice B and D are both correct.

Step-by-step explanation:

The expression has two adjacent negative signs in the middle. The two negative signs are to be multiplied, which then produces one positive sign.

Choice B is therefore correct because the expression becomes 6+6 which is 6 to the right of the number line where the numbers are increasing.

Choice D is also equally correct because the addition of 6 to 6 equals 12(6+6 = 12).

3 0
3 years ago
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