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MakcuM [25]
2 years ago
13

Two-thirds of Tyrone's books are mystery novels. Tyrone has 42 books How many mystery novels does he have ?

Mathematics
1 answer:
Bezzdna [24]2 years ago
3 0
2/3 times 42 books = 28 books
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2 because if you divided 8/12 by 2/6=2

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Lazar drives to work every day and passes two independently operated traffic lights. The probability that both lights are green
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A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, a
julsineya [31]





x= A ticket 
y=b ticket
x+y=500
10x+60y=6000 
-------------------
   10x+60y=6000 
-  x+y=500 (*10) ---> 10x+10y=5000
-------------------
   10x+60y=6000
-  10x+10y=5000
-------------------
50y=1000
y=1000/50
y=20
b ticket =20

x+y=500
x+20=500
x=500-20
x=480
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6 0
2 years ago
Suppose that the weight of seedless watermelons is normally distributed with mean 6.1 kg. and standard deviation 1.9 kg. Let X b
horrorfan [7]

Answer:

a. X\sim N(\mu = 6.1, \sigma = 1.9) b. 6.1 c. 0.6842 d. 0.4166 e. 0.1194 f. 8.5349

Step-by-step explanation:

a. The distribution of X is normal with mean 6.1 kg. and standard deviation 1.9 kg. this because X is the weight of a randomly selected seedless watermelon and we know that the set of weights of seedless watermelons is normally distributed.

b. Because for the normal distribution the mean and the median are the same, we have that the median seedless watermelong weight is 6.1 kg.

c. The z-score for a seedless watermelon weighing 7.4 kg is (7.4-6.1)/1.9 = 0.6842

d. The z-score for 6.5 kg is (6.5-6.1)/1.9 = 0.2105, and the probability we are seeking is P(Z > 0.2105) = 0.4166

e. The z-score related to 6.4 kg is z_{1} = (6.4-6.1)/1.9 = 0.1579 and the z-score related to 7 kg is z_{2} = (7-6.1)/1.9 = 0.4737, we are seeking P(0.1579 < Z < 0.4737) = P(Z < 0.4737) - P(Z < 0.1579) = 0.6821 - 0.5627 = 0.1194

f. The 90th percentile for the standard normal distribution is 1.2815, therefore, the 90th percentile for the given distribution is 6.1 + (1.2815)(1.9) = 8.5349

7 0
2 years ago
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