Let's make clear the question, because it may be confusing:
<span>"A health inspector must visit 4 of 14 restaurants on Monday. In how many ways can she pick a first, second, third, and fourth restaurant to visit?"
In order to solve the problem, you need to use permutations: you have 14 possible restaurants to choose as first, the second one will be chosen among the 13 restaurants left, the third one among the remaining 12 and the fourth one will be one of the remaining 11.
Therefore, the total number of possibilities is:
14 </span>× 13 × 12 × 11 = 24024
There are <span>24024 possible ways to choose the four restaurants to visit.</span>
Answer:
The correlation coefficient r measures the direction and strength of a linear relationship.
The answer to this question is 48/7
Answer:
x = 50°
Step-by-step explanation:
x + 20° + 30° = 180°
x = 180° - 20° - 30°
x = 130° (This one is other x)
x + 130° = 180°
x = 180° - 130°
x = 50°
<h2>
Answer with explanation:</h2>
1)
The vertices of X,Y and Z are:
X(-2, 0), Y(-2, -1), and Z(-5, -2)
Now, when X,Y and Z are translated by using the translation transformation:
(x,y) → (x+6,y-2)
Then we obtain the transformation:
X(-2, 0) → X′(4, -2)
Y(-2, -1) → Y′(4, -3)
Z(-5, -2) → Z′(1, -4)
The type of transformation that triangle XYZ undergoes is a translation transformation by the rule: (x,y) → (x+6,y-2)
2)
Next when we reflect the triangle X'Y'Z' across the x-axis then we obtain X"Y"Z"
Since, the rule that follow on reflecting across x-axis is:
(x,y) → (x,-y)
Hence, we get:
X′(4, -2) → X″(4, 2)
Y′(4, -3) → Y″(4, 3)
Z′(1, -4) → Z″(1, 4)
Hence, the type of transformation that triangle X′Y′Z′ undergoes is a reflection transformation (on reflecting across x-axis)
