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myrzilka [38]
3 years ago
5

An art collector wants to purchase a new piece of art. She is interested in 5 paintings, 6 vases, and 2 statues. If she chooses

the piece at random, what is the probability that she selects a painting? give answer in fraction
Mathematics
1 answer:
mart [117]3 years ago
7 0

Answer:

Probability to select a painting will be \frac{5}{13}

Step-by-step explanation:

Art collector is interested in 5 paintings, 6 vases and 2 statues.

We have to find the probability that she selects a painting.

Probability P(E)=\frac{n(E)}{n(S)}

So total number of outcomes n(S) = 5 + 6 + 2

n(S) = 13

Favorable event n(E) = 5

P(E)=\frac{5}{13}

Therefore, probability to select a painting will be \frac{5}{13}

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n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p
Olenka [21]

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \mu_ 1  = \$239,000

    The sample mean for Ascension parish  is \= x_2  = \$246,000

   The  p-value  is  p-value  =  0.045

     The level of significance is  \alpha = 0.01

The null hypothesis is  H_o : \mu_2  = \mu_1

The  alternative hypothesis is  H_a  :  \mu_2 > \mu_1

Here \mu_2 is the population mean for Ascension parish

   From the data given values we see that  

          p-value  >  \alpha

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0
3 years ago
A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt
Sav [38]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

5 0
3 years ago
Write the polynomial in standard form. Then find its degree and the leading coefficient.
Contact [7]

Answer:

6c^5+4c−301, assuming that you meant 6c^5  

3 0
3 years ago
Find the area of the triangle to the nearest tenth.
andreyandreev [35.5K]

Answer:

42.4

Step-by-step explanation:

1) use this formula of Area of the triangle:

A=\frac{1}{2} a*b*sin(a,b)

2) using the formula described above:

A=0.5*14*11*0.55≈42.4 (mm²)

5 0
4 years ago
Based on her receipt Elena knows that seven servings of cereal have 1120 cal if she wants to eat 140 cal of cereal how many serv
expeople1 [14]
We want to find out how many calories are in a serving so, 1120/7 = 160.
A single serving has 160 calories.
140 calories would be 140/160 = 87.5% of a serving or less than a serving.
8 0
3 years ago
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