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4 years ago

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function

Mathematics

2 answers:

Artist 52 [7]4 years ago

4 0

Answer:

D) It is the amount they raise each week

Step-by-step explanation:

Given : Their fundraising progress is modeled by the function

f(x) = 435 + 1200x, where x is measured in weeks.

To Find :What is the meaning of the coefficient 1200?

Solution :

f(x) = 435 + 1200x

Where x denotes the week

if 1200 is raised fund so 1200x is the fund raised in x weeks

Thus the coefficient 1200 means the amount they raise each week.

Thus Option D is correct .

D) It is the amount they raise each week

AURORKA [14]4 years ago

3 0

Answer:

Step-by-step explanation:

It is the amount they started with. Since y = 435 when x = 0, this is the initial amount, before the fundraising started.

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Find the sum. Write your answer in simplest form. 6 5/6 + 6 11/12

Gennadij [26K]

If you would like to calculate 6 5/6 + 6 11/12, you can do this using the following steps:

6 5/6 + 6 11/12 = 41/6 + 83/12 = 82/12 + 83/12 = 165/12 = 55/4 = 13 3/4

The correct result would be 55/4.

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3 years ago

Your truck tires are rated at? 45,000 miles. what is the probability that this? tire’s tread life will fall between? 44,500 and?

Step2247 [10]

We are given:

45,00 miles is the actual tread life of the tire.
The standard deviation is 3,000 miles
The mean of the tire life is 45,000 miles

The range of the tread life is:

45,000 - 3,000 = 42,000 miles
to
45,000 + 3,000 = 48,000 miles

The probability that the tire tread life will fall between 44,500 and 47,500 miles can be determined by testing several tire samples.

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4 years ago

Computers require fans to keep them from overheating. Let T be the random variable representing the lifetime of a particular mak

ikadub [295]

Answer:

a) 4.98% of computer fans which will give at least 10,000 hours of service.

b) 3.02% of computer fans which would give at least 10,000 hours of service, that is, fewer fans living for at least 10,000 hours.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X < x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X < x) = 1 - e^{-\mu x}$

In this problem, we have that:

$\mu = \lambda = 0.0003$

(a) Find the proportion of computer fans which will give at least 10,000 hours of service.

Either it gives less 10,000 hours of service, or it gives at least 10,000. The sum of the probabilities of these events is decimal 1. So

$P(X < 10000) + P(X \geq 10000) = 1$

We want $P(X \geq 10000)$ . So

$P(X \geq 10000) = 1 - P(X < 10000)$

$P(X < 10000) = 1 - e^{-0.0003*10000} = 0.9502$

$P(X \geq 10000) = 1 - 0.9502 = 0.0498$

4.98% of computer fans which will give at least 10,000 hours of service.

(b) If the fan is redesigned so that exponential lifetime distribution now has parameter λ = 0.00035, would you expect more fans or fewer fans to live for at least 10,000 hours?

Now $\mu = \lambda = 0.00035$