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Ganezh [65]
3 years ago
13

Work out the size of one interior angle of a regular 10 sided shape

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0

Answer:

144

Step-by-step explanation:

Step 1: Find the sum of interior angles

Formula: 180(n - 2)

180(10 - 2)

180(8)

1440

Step 2: Assuming the 10-sided polygon's angles are all congruent, divide 1440 by 10

1440/10

144 degrees to each angle for all 10 angles.

bixtya [17]3 years ago
4 0
The answer would be 144
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What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$
MA_775_DIABLO [31]

The greatest possible quotient of two distinct members of the set is 25.

<h3>What is the Quotient?</h3>

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We are given the set of numbers as :

2/5, 1/2, 5, 10

We must choose p as the biggest number from the set and q as the smallest number from the set in order to the greatest possible quotient .

Comparing the fractions we determine :

⇒ 2/5 = 0.4,

⇒ 1/2 = 0.5

So, the smallest number is 2/5

Select p = 10, q = 2/5

To determine the quotient.

So, p/q = 10/(2/5)

⇒ p/q = 10×5/2

⇒ p/q = 50/2

⇒ p/q = 25

Hence, the greatest possible quotient is 25 in the set.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ1

8 0
1 year 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
.......Solve the equation:
harina [27]
Notice that the factored form of the part under the radical is:

(x-3)(x-3) which is equal to:

(x-3)^2

√((x-3)^2)+3|(x-3)(2x+1)|=0

√((x-3)^2)=-3|(x-3)(2x+1)|  now squaring both sides

(x-3)^2=9(x-3)^2*(2x+1)^2  dividing both sides by (x-3)^2

1=9(2x+1)^2

1=9(4x^2+4x+1)

1=36x^2+36x+9

36x^2+36x+8=0

36x^2+36x=-8

x^2+x=-2/9

x^2+x+1/4=1/4-2/9

(x+1/2)^2=(9-8)/36

(x+1/2)^2=1/36  taking the square root of both sides

x+1/2=±1/6

x=-1/2±1/6

x=(-3±1)/6

x= -2/3 and -1/3 and of course 3 because of the initial condition...

x=-1/3, -2/3, 3


3 0
3 years ago
In the Europe, you buy gas in terms of
Len [333]

Answer:

Liters

Step-by-step explanation:

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4 years ago
How much does Beatriz earn per hour?<br><br> How much would Beatriz earn if she worked 7 hours?
Alexxx [7]

Answer:

$52.50

Step-by-step explanation:

She makes $7.50 an hour multiple that by 7 hours and you get $52.50

4 0
3 years ago
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