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Nostrana [21]
3 years ago
8

A membership to the local gym costs $40 and $2 per visit. Tell what type of function is it and also write the equation for it.

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
5 0

Answer:

linear function

y = 2x + 40

Step-by-step explanation:

This is a linear function since for an equal change of the input (number of visits) you get an equal change in the output (the cost).

The fixed cost is $40.

The variable cost is the $2 per visit.

For x visits, the cost of the visits is 2x.

Now you add the $40 fixed cost to the variable cost to get 2x + 40.

Let y = total cost and x = number of visits.

The equation of the linear function is:

y = 2x + 40

Elis [28]3 years ago
4 0

Answer:

y=2x+40

linear function with the y-intercept at 40

Step-by-step explanation:

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The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.
galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439    

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}

a) P(No high level of contamination)

We put x = 0, in the formula.

P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0
3 years ago
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Solve for x. Round to the nearest tenth, if necessary.
galben [10]

Answer:

15.4

Step-by-step explanation:

sin 17° = 4.5 /x

x = 4.5 / sin 17° = 4.5 /0.2924

= 15.4

6 0
3 years ago
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A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air For
BARSIC [14]

Answer: 3.5 h

Step-by-step explanation:

<u>1. Data:</u>

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

<u>2. Equation:</u>

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  • s = d / t

<u>3. Solution:</u>

  • Solve the equation for t:

        s = d / t ⇒ t = d / s

  • Substitute values:

        t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

   

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3 years ago
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