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yan [13]
3 years ago
7

Mason is one of 320 players participating in an online tournament. After each round of play, half of the players are eliminated.

Mason hopes to remain in the tournament through the fourth round. Determine how many players will be left in the tournament after the 4th round.
Mathematics
1 answer:
mylen [45]3 years ago
6 0
20 players after 4th round
The first round start with 40 players.But since after each round half are eliminated then it will be 20 after the 4th round
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Based on data collected from its production processes, Crosstiles Inc. determines that the breaking strength of its most popular
alexandr1967 [171]

Answer:

16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

Step-by-step explanation:

We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.

Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>

SO, X ~ Normal(\mu=400,\sigma^{2}=12.5^{2})

The z score probability distribution for normal distribution is given by;

                        Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean breaking strength of porcelain tile = 400 pounds per square inch

           \sigma = standard deviation = 12.5 pounds per square inch

Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)

        P(X > 412.5) = P( \frac{X-\mu}{\sigma} > \frac{412.5-400}{12.5} ) = P(Z > 1) = 1 - P(Z \leq 1)

                                                               = 1 - 0.84 = <u>0.16</u>

Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.

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3 years ago
The base of a triangle is 4 cm greater than the
Anna35 [415]

Answer:

Step-by-step explanation:

Formula for area of a triangle:

Height x Base /2

Base (b) = h +4

Height = h

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=> h +4 x h = 60

=> h+4h =60

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Ksenya-84 [330]
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pshichka [43]

Answer:

-3

Step-by-step explanation:

y = 4x - 3

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y = mx + b

where m = slope and b = y intercept.

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S_A_V [24]

Answer: 2,000 milliliters.  

Step-by-step explanation:

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