Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W

Answer:

Rotate triangle A about the point (1.5, -0.5) by 180°.

Step-by-step explanation:

Translating a figure by a vector means shifting it 3 units left along the x-axis and 1 unit up along the y-axis.

The translation rule can be expressed as:

(x, y) → [(x - 3), (y + 1)]

Based on the provided figure,

The coordinates of triangle A are A(1, -1), B(1, -4) and C(3, -4)

Post-translation, the new coordinates are A'(-2, 0), B'(-2, -3), C'(0, -3).

Next, applying a 180° rotation to these new points about the origin gives:

Rotation rule:

(x, y) → (-x, -y)

A'(-2, 0) → A"(2, 0)

B'(-2, -3) → B"(2, 3)

C'(0, -3) → C"(0, 3)

Thus, the transformation A(1, -1) → A"(2, 0) represents the entire transformation.

The rule defining the transformation mapping triangle C to A would be expressed as:

Rotate triangle A about the point (1.5, -0.5) by 180°.

It's crucial to recognize that all necessary information is already presented in the question

The likelihood of a day being hot equals 0.15 + 0.10
                                                   = 0.25
The likelihood of a day being sunny amounts to 0.15 + 0.30 + 0.10
                                                        = 0.55
Combining the two probabilities, we find = 0.25 + 0.55
                                                                     = 0.80
Now
The probability of a day being both hot and sunny is 0.15
Thus
The probability of a day being either hot or sunny = 0.80 - 0.15
                                                               = 0.65
I trust this explanation is clear enough for your understanding.

Response:

Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.

Thanks:) I just completed it edg

Detailed explanation:

(1 3/4) divided by (1/5) =
(7/4) ÷ (1/5) =
7/4 multiplied by 5/1 =
35/4 or 8 3/4 <===

Response:

The monthly income of Kim's business is $10,000.

Every month, Kim spends $3,000 on non-employee costs.

To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:

10000 - 3000 - 2000 = 5000

With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.

Hope this is useful

:)