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3 years ago

What is the mean of the data set in the box below? -8, -6, - 2, 0, -6, - 8. 4, 7, 8, 1

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

The mean of the data set in the box below is -1

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2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?

Lina20 [59]

Answer:

D. 1/15

Step-by-step explanation:

Actual tree = 10 ft = 12 × 10 = 120 in.

Model tree = 8 in.

Scale factor = model tree/actual tree

Scale factor = 8/120

Scale factor = 1/15

4 0

2 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

3 years ago

Daily snowfall in Omaha in January<br> Mode, median or mean?

muminat

Answer:

mean but im guessing as well

Step-by-step explanation:

5 0

3 years ago

What’s the domain and range

Softa [21]

Answer:

domain is x range is y

Step-by-step explanation:

4 0

3 years ago

What is the total amount for an investment of $1600 invested at 4.25% for 20 years and compounded continuously?

galina1969 [7]

Answer:

$3743.43

Step-by-step explanation:

The amount is given by the formula ...

A = Pe^(rt)

where P is the principal, r is the annual rate compounded continuously, and t is the number of years. Filling in the values, we get ...

A = $1600·e^(0.0425·20) = $1600·e^0.85

≈ $1600·2.33964685 ≈ $3743.43

The amount in the account will be $3743.43.

5 0

3 years ago