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4 years ago

Decide if the situation involves permutations, combinations, or neither. Explain your reasoning.

Mathematics

2 answers:

sergejj [24]4 years ago

7 0

Answer:

not sure

Step-by-step explanation:

GrogVix [38]4 years ago

4 0

Answer: Its combination check this site called Chegg Study it will explain.

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Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4

Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of (-9,-8) and (7,-4)

midpoint formula is

$\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}$

$\frac{-9+7}{2} ,\frac{-8+-4}{2}$

midpoint is (-1, -6)

Now find the slope of the given line

(-9,-8) and (7,-4)

$slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}$

$slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}$

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4 and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10

3 0

3 years ago

A geometric sequence has a4=4 and a5=7. What is a1?

ella [17]

A is 0.025 from what i worked out, I hope it is correct :)

4 0

3 years ago

Read 2 more answers

Exhibit 12-4 In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Li

Brums [2.3K]

Answer:d. uniformly distributed variable

Step-by-step explanation:Uniform Distribution Definition- in statistics , this mean an outcome is equally likely each variable has an equal or same probability to appear in an outcome.

For example in a deck of cards ,they are uniformly distributed which means the likelihood of drawing a club, a diamond , and a heart is the same.

When we see the percentage of how these students are distributed in art college and business college it is likely that one obtains a uniform distributed results.

8 0

3 years ago

Determine whether the data described in the tables is best modeled by a linear function or an exponential function.

Leviafan [203]

Answer:

Electric car = Exponential function (decreasing cost)

Gasoline car = Exponential function (increasing cost)

Step-by-step explanation:

The given data the Electric car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 27

10 ${}$ 21

15 ${}$ 16

20 ${}$ 12.5

The difference between successive term is such that each term decreases by approximately the same percentage given as follows

1st and 2nd term (35 - 27)/35 × 100 ≈ 22.8571% decrease

2nd and 3rd term (27 - 21)/27 × 100 ≈ 22.222% decrease

3rd and 4th term (21 - 16)/21 × 100 ≈ 23.81% decrease

4th and 5th term (16 - 12.5)/16 × 100 ≈ 21.875% decrease

Therefore. the electric car is best approximated by exponential function

The given data the Gasoline car, we have;

Time (years) ${}$ Cost (thousands of dollars)

0 ${}$ 35

5 ${}$ 40.2

10 ${}$ 46.3

15 ${}$ 53.2

20 ${}$ 61.2

The difference between successive term is such that each term increases by approximately the same percentage given as follows

1st and 2nd term (40.2 - 35)/35 × 100 ≈ 14.857% decrease

2nd and 3rd term (46.3 - 40.2)/40.2 × 100 ≈ 15.174% decrease

3rd and 4th term (53.2 - 46.3)/46.3× 100 ≈ 14.9% decrease

4th and 5th term (61.2 - 53.2)/53.2× 100 ≈ 15.03% decrease

Therefore. the Gasoline car is best approximated by exponential function

4 0

3 years ago

PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fu

zloy xaker [14]

Answer:

c. $24,435

Step-by-step explanation:

$30000(1 - .05)^{4} = 24,435.19$

3 0

3 years ago