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2 years ago

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At sea level, 0 ft elevation, the boiling point of water is 212degrees F, at an elevation of 6,500 ft the boiling point is only

200degrees F. Write a linear function , f(x) that describes the boiling point of water

1 answer:

Kobotan [32]2 years ago

6 0

Hmmmm this is tricky

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The graph of a trigonometric function oscillates between y=1 and y=-7. It reaches its

madam [21]

Answer:

y = 4 sin(½ x) − 3

Step-by-step explanation:

The function is either sine or cosine:

y = A sin(2π/T x) + C

y = A cos(2π/T x) + C

where A is the amplitude, T is the period, and C is the midline.

The midline is the average of the min and max:

C = (1 + -7) / 2

C = -3

The amplitude is half the difference between the min and max:

A = (1 − -7) / 2

A = 4

The maximum is at x = π, and the minimum is at x = 3π. The difference, 2π, is half the period. So T = 4π.

Plugging in, the options are:

y = 4 sin(½ x) − 3

y = 4 cos(½ x) − 3

Since the maximum is at x = π, this must be a sine wave.

y = 4 sin(½ x) − 3

4 0

2 years ago

suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t

lubasha [3.4K]

The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
$C(7, 4) = \frac{7!}{4!(7 - 4)!}$
$= \frac{5040}{4!3!}$
$= \frac{5040}{24 \cdot 6}$
$= \frac{5040}{144} = 35$

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

$\text{P(4 women): } \frac{35}{495} = \frac{7}{99}$

3 0

2 years ago

What's the rate of -3(x-2)-8

Charra [1.4K]

Answer:

-3x-2

Step-by-step explanation:

5 0

2 years ago

Tim’s mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proport

Art [367]

Answer: C/ $3.20 per gallon of unleaded gas

8 0

2 years ago

In an assembly-line production of industrial robots, gearbox assemblies can be installed in one minute each if holes have been p

slavikrds [6]

Answer: Our required probability is 0.304.

Step-by-step explanation:

Since we have given that

N = 21

Number of improperly drilled holes k = 4

Number of properly drilled holes = N-k= 21-4=17

Let X be the number of improperly drilled holes in a sample of 5.

We will use "Binomial distribution":

$P(X=5)=\dfrac{^4C_0\times ^{17}C_5}{^{21}C_5}=0.304$

So, our required probability is 0.304.

7 0

2 years ago