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Alex
3 years ago
10

Distribute &combine 2 -(-x+5)

Mathematics
1 answer:
natita [175]3 years ago
8 0
2-(-x+5)
2+x-5
x-3
I decided to included the steps just in case you needed them

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The College Board SAT college entrance exam consists of three parts: math, writing and critical reading (The World Almanac 2012)
Wittaler [7]

Answer:

Yes, there is a difference between the population mean for the math scores and the population mean for the writing scores.

Test Statistics =   \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1 .

Step-by-step explanation:

We are provided with the sample data showing the math and writing scores for a sample of twelve students who took the SAT ;

Let A = Math Scores ,B = Writing Scores  and D = difference between both

So, \mu_A = Population mean for the math scores

       \mu_B = Population mean for the writing scores

 Let \mu_D = Difference between the population mean for the math scores and the population mean for the writing scores.

            <em>  Null Hypothesis, </em>H_0<em> : </em>\mu_A = \mu_B<em>     or   </em>\mu_D<em> = 0 </em>

<em>      Alternate Hypothesis, </em>H_1<em> : </em>\mu_A \neq  \mu_B<em>      or   </em>\mu_D \neq<em> 0</em>

Hence, Test Statistics used here will be;

            \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1    where, Dbar = Bbar - Abar

                                                               s_D = \sqrt{\frac{\sum D_i^{2}-n*(Dbar)^{2}}{n-1}}

                                                               n = 12

Student        Math scores (A)          Writing scores (B)         D = B - A

     1                      540                            474                                   -66

     2                      432                           380                                    -52  

     3                      528                           463                                    -65

     4                       574                          612                                      38

     5                       448                          420                                    -28

     6                       502                          526                                    24

     7                       480                           430                                     -50

     8                       499                           459                                   -40

     9                       610                            615                                       5

     10                      572                           541                                      -31

     11                       390                           335                                     -55

     12                      593                           613                                       20  

Now Dbar = Bbar - Abar = 489 - 514 = -25

 Bbar = \frac{\sum B_i}{n} = \frac{474+380+463+612+420+526+430+459+615+541+335+613}{12}  = 489

 Abar =  \frac{\sum A_i}{n} = \frac{540+432+528+574+448+502+480+499+610+572+390+593}{12} = 514

 ∑D_i^{2} = 22600     and  s_D = \sqrt{\frac{\sum D_i^{2}-n*(Dbar)^{2}}{n-1}} = \sqrt{\frac{22600 - 12*(-25)^{2} }{12-1} } = 37.05

So, Test statistics =   \frac{Dbar - \mu_D}{\frac{s_D}{\sqrt{n} } } follows t_n_-  _1

                            = \frac{-25 - 0}{\frac{37.05}{\sqrt{12} } } follows t_1_1   = -2.34

<em>Now at 5% level of significance our t table is giving critical values of -2.201 and 2.201 for two tail test. Since our test statistics doesn't fall between these two values as it is less than -2.201 so we have sufficient evidence to reject null hypothesis as our test statistics fall in the rejection region .</em>

Therefore, we conclude that there is a difference between the population mean for the math scores and the population mean for the writing scores.

8 0
3 years ago
In a bakery, a bag of bread rolls cost x dollars. A loaf of multi-grain bread costs $2 more than a bag of bread rolls. Mr. Lopez
Vaselesa [24]

Step-by-step explanation:

Cost of bag of bread rolls is x

Multigrain is (+2) more.

So (x+2)

Y can be the number of multigrain loves Mr. Lopez buys.

Answer: y=50/(x+2)

6 0
3 years ago
Multiply: (2x2 − 5x)(4x2 − 12x + 10)
11Alexandr11 [23.1K]
(2x^2-5x)(4x^2-12x+10) = <span>8x^4 - 44x^3 + 80x^2 - 50x

So, the answer is option C.</span>
5 0
3 years ago
britney is buying a hat at the mall. the shirt costs $31.59, and the hat costs $19.46. if Britney gives the sales clerk $100.00,
kiruha [24]

Answer: 48.95

Step-by-step explanation:

so first I would add together the cost of the shirt and hat

31.59 +19.46 = 51. 05

then I would take away the 51.05 ( the total ) from $100

100 - 51.05 = $48.95

So she would get $48.95 for change

7 0
3 years ago
Please help me to solve the problems
OLga [1]
4 tens and 10 ones is 410
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