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Mekhanik [1.2K]
3 years ago
7

Find the value of x

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

Hypotenuse x = 10 unit

Step-by-step explanation:

Given:

Two equal sides = 5√2

Find:

Hypotenuse x

Computation:

Using Pythagorean theorem;

Hypotenuse = √Base² + Perpendicular²

Hypotenuse x = √(5√2)² + (5√2)²

Hypotenuse x = √50 + 50

Hypotenuse x = √100

Hypotenuse x = 10 unit

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Answer:5y+13

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The answer is -1

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Gabrielle swam for 142 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 347 minu
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Answer:

she swam 63 minutes more than in the first

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3 years ago
According to the Vivino website, the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System i
lozanna [386]

Answer:

a

The  null hypothesis is   H_o  :  \mu =  32.48          

The alternative  hypothesis is   H_a  :  \mu  <  32.48

b

  t  =  -1.504

c

There is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

Step-by-step explanation:

From the question we are told that

   The mean price of   is  \mu  =  \$ 32.48

   The  sample size is n  =  56  

    The sample mean is  \=  x  =  \$30.15

     The standard deviation is  \sigma =  \$12

The  null hypothesis is   H_o  :  \mu =  32.48          

The alternative  hypothesis is   H_a  :  \mu  <  32.48

Generally the test statistic is mathematically represented as

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

=>    t =  \frac{30.15  - 32.48 }{\frac{12 }{\sqrt{60} } }

=>    t  =  -1.504

Generally the p-value  is mathematically represented as

      p-value  =  P (t < -1.504 )

From the z-table  

    P(t <  -1.504) =   0.066291

So  

    p-value  = 0.066291

From the value we obtain we see that  

    p -value  >  \alpha

Then we fail to reject the null hypothesis  

   Hence there is no sufficient evidence to conclude that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48

3 0
3 years ago
Round to the hundredth 3.5262
lubasha [3.4K]
3.53 that’s the answer
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3 years ago
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