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nekit [7.7K]
3 years ago
7

20 points! plz help me

Mathematics
1 answer:
AveGali [126]3 years ago
8 0
2a + 3 + a = 180
      - 3           - 3

2a + a = 177

3a = 177
----    ----   =   59
 3       3

59 is a.

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Factor this expression completely.<br> 36y2 - 1
shtirl [24]

Answer:

(6y - 1)(6y + 1)

Step-by-step explanation:

To factorize completely, we may adopt the difference of 2 squares approach. The theory states that difference of two square  is the product of the difference of the number and the sum of the numbers.

Such that

a² - b² = (a - b) (a + b)

Hence 36y² - 1

= 6²y² - 1²

= (6y)² - 1²

= (6y - 1)(6y + 1)

5 0
3 years ago
Read 2 more answers
In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that th
deff fn [24]

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

    The population mean is  \mu = \$ 108.5

The null hypothesis is  H_o :  \mu = 108.50

The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

       P( Z >  1.75) = 0.040059

Generally  p-value is mathematically represented as

        p-value = 2 * P( Z >  1.75)

=>     p-value = 2 * 0.040059

=>     p-value = 0.08012

From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

3 0
2 years ago
HELP ME!!! I wanna pass please
ale4655 [162]
The answer would be c (w = 12 feet)!
5 0
2 years ago
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Can you help me with this?​
DochEvi [55]

Answer:

I need some more context

Step-by-step explanation:

5 0
2 years ago
Help pleaseee I need help filling the blank spaces with either true/false
vesna_86 [32]

Answer:

1. true 2. true 3. false 4. true 5. false 6. false 7. false

Step-by-step explanation:

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8 0
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