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Ket [755]
2 years ago
5

The price of an item has risen to $120 today. Yesterday it was $40. Find the percentage increase.

Mathematics
2 answers:
Snezhnost [94]2 years ago
7 0

Answer:

200%

Step-by-step explanation:

If $40 is 100% then multiply it by 3 to get $120

sladkih [1.3K]2 years ago
5 0

Answer:

120 - 40 = 90 so the answer is $90

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Find the area of a regular octagon with an apothem length of 10 and a side length of 6.
Sauron [17]

Answer:

A = 240 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

here p = 8 × 6 = 48 ( an octagon has 8 sides ) and a = 10 , then

A = \frac{1}{2} × 48 × 10 = 24 × 10 = 240 units²

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2 years ago
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PLEASEE HELPP IM DESPERATE I’LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST CORRECTLY
DedPeter [7]

Answer:

x = 2, -2, -1/5

Step-by-step explanation:

g(x)= 5x^3+x^2-20x-4

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8 0
2 years ago
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pshichka [43]
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4 0
3 years ago
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The manufacturer of an electronic device claims that the probability of the device failing during the warranty period is 0.005.
Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    P(X \ge  15) =  P( \frac{X - \mu}{\sigma }  \ge \frac{x - \mu}{\sigma } )

Now  applying  Continuity Correction we have

   P(X \ge  (15-0.5)) =  P( \frac{X - \mu}{\sigma }  > \frac{(15 -0.5) - 15}{3.86 } )

Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

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Answer:

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3. 10 pints of red

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5. 16 quarts of light blue

6. 9 quarts of red

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