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creativ13 [48]
2 years ago
15

Use the data set to find the slope and y-intercept.

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0
Y-intercept =12
Slope : y2-Y1/x2-x1
8-10/2-1
Slope : -2
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A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the hor
il63 [147K]

Answer:

The horizontal distance from the plane to the tower is 2784.5 feet.

Step-by-step explanation:

From the given question, the height of the control tower is not given. But;

Tan θ = \frac{Opposite side}{Adjacent side}

Tan 12^{0} = \frac{x}{13100}

x = 13100 × Tan 12^{0}

   = 2784.4910

Thus, x = 2784.5 feet

Therefore, the horizontal distance from the plane to the tower is 2784.5 feet.

8 0
3 years ago
Read 2 more answers
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning
Nuetrik [128]
I may be wrong but I am sure this is the equation...
$628.35= $89.95+4x
4 0
4 years ago
There are 40 runners in a race. How many ways can the runners finish​ first, second, and​ third?
k0ka [10]

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

5 0
3 years ago
The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis
lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

\hat{p} = \frac{x}{n}

Where:

  • x represent the number of individuals with a specified characteristic.
  • n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

8 0
1 year ago
If f(x) = x^2 - 4x + 3, and the domain is {-2, 0, 1}, what is the range?
dangina [55]

Evaluate the function at the three values of the range and see what you get. The appropriate choice is ...

... D) {15, 3, 0}

_____

Evaluation can sometimes be simpler if you rearrange the function to a form called "Horner's form."

... f(x) = (x -4)x +3

Then the evaluation looks like (for x=-2) ...

... f(-2) = (-2-4)(-2)+3 = (-6)(-2) +3 = 12 +3 = 15

This is sufficient to identify D as the answer of choice.

5 0
3 years ago
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