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notsponge [240]
3 years ago
11

In Australia the size of a typical home has increased from 220m to 245m over the past 10 years. Find the ratio of house area tod

ay compared to 10 years ago.
Mathematics
1 answer:
vlada-n [284]3 years ago
3 0
220:245 or it can be simplified to 44:49
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Plz help this should be easy and I will give brailiest
oee [108]

Answer:

Step-by-step explanation:

x - represents 1 point shots

(54 - x) - represents 2 point shots

x + 2(54 - x) = 89

x + 108 - 2x = 89

-x + 108 = 89

x = 19 (1 point shots)

54-x = 35 ( 2 point shots)

Test:

19 + 35 = 54 (total shots)

19 x 1 = 19

35 x 2 = 70

70 + 19 = 89 points

5 0
3 years ago
What’s the quadrant
Vadim26 [7]

Hey there!!

Always remember this :

90-degree counterclockwise: (x, y) → (-y, x)

180-degree counterclockwise: (x, y) → (-x, -y)

270-degree counterclockwise: (x, y) → (y, -x)

1st quadrant : ( x , y )

second quadrant : ( -x , y )

Third quadrant : ( - x , - y )

Fourth quadrant : ( x , -y )

Now, the triangle abc lies in the 1st quadrant. So, all the vertexes will have positive values.

Let's take the vertex  a as ( 1 , 2 )

Vertex b as ( 4 , 7 )

Vertex c as ( 5 , 9 )

If we rotate these values in 90 degress angle, these would become ( -y , x )

Vertex a : ( 1 , 2 ) ; After rotating : ( -2 , 1 )

Vertex b : ( 4 , 7 ) ; After rotating : ( -7 , 4 )

Vertex c : ( 5 , 9 ) ; After rotating : ( -9 , 5 )

Hope my answer helps!

3 0
3 years ago
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
3 years ago
What is 150 percent as a mixed number
scZoUnD [109]
150% as a mixed number is 1.5 which = 1 1/2
6 0
3 years ago
Read 2 more answers
22x – 54 + 5.736x^4 - 2x^2<br> Standard form
Yuri [45]

Answer:

5.736x^4 - 2x^2 +22x - 54

Step-by-step explanation:

4 0
3 years ago
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