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pshichka
2 months ago
10

A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $

10, otherwise he will take a bus. Carl is 16 miles from home. Explain how to write and solve an inequality to determine if Carl will take the taxi or a bus.
Mathematics
2 answers:
AnnZ [12.3K]2 months ago
7 0

Answer:Let x represent the distance in miles. The situation can be expressed with the inequality 0.5x + 3 < 10, where x denotes the number of miles. To find the solution, begin by subtracting 3 from both sides of the

Step-by-step explanation:

Leona [12.6K]2 months ago
6 0

Response: Opt for the bus to cut costs

Detailed explanation:

If you substitute x with 15, the inequality becomes ($0.50 * 15) + $3 <  $10. We require a less than sign (<) since Carl wants the total to be below and not equal to.

$7.5 + $3 < $10. Once basic calculations are performed, it will reveal that Carl lacks 50 cents.

I hope this is useful:)

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The weights of certain machine components are normally distributed with a mean of 8.01 g and a standard deviation of 0.06 g. Fin
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Answer:

Option D) 7.90 g and 8.12 g

Step-by-step explanation:

The details provided in the question are:

Mean, μ = 8.01 g

Standard Deviation, σ = 0.06 g

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Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We need to determine the value of x for which the probability is 0.03.

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 8.01}{0.06})=0.03  

= 1 -P( z \leq \displaystyle\frac{x - 8.01}{0.06})=0.03  

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Using the standard normal z table, we find that,

\displaystyle\frac{x - 8.01}{0.06} = 1.881\\\\x = 8.12  

Thus, the value of 8.17 g separates the upper 3% of the weights.

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 8.01}{0.06})=0.03  

From the standard normal z table, we derive,

\displaystyle\frac{x - 8.01}{0.06} = -1.881\\\\x = 7.90  

Consequently, 7.90 separates the lower 3% of the weights.

<ptherefore the="" accurate="" answer="" is="">

Option D) 7.90 g and 8.12 g

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