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Gwar [14]
3 years ago
11

Correct me if I’m wrong please

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer: your answers are correct

x = 10

PT = 34

Step-by-step explanation:

PT = 4x - 6 and TQ = 3x + 4

if PT = TQ

4x - 6 = 3x + 4

4x - 3x = 4 + 6

x = 10

PT = 4x - 6

PT = 4 (10) - 6

=40 - 6

PT = 34

The value of PT = 34

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Standard Deviation, σ = $16.25

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b) P(More than $270)

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c) P(More than $250)

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Calculation the value from standard normal z table, we have,  

P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%

d) P(Between $240 and $275)

P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%

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e) Thus, 0.704 is the probability  that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

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