18 cm is correct .
Step-by-step explanation:
The sum of two smaller sides is greater that the largest side.
It is given that the two sides of a triangle measure 8 cm and 15 cm.
Case 1: Let 8 cm and 15 cm. are smaller side. So,
<em>Third side < 8 + 15</em>
<em>Third side < 23</em>
<em>It means 3rd side must be less than 23</em>
<em>Case 2: Let 15 cm is the largest side.</em>
<em>15 < Third side + 8</em>
15 - 8 < Third side
7 < Third side
It means 3rd side must be greater than 7.
Since only 18 is less than 23 and greater than 7, therefore the possible length of third sides is 18 cm and option 2 is correct.
Answer:
k = 42
the constant of proportionality in this inverse variation is 42.
Step-by-step explanation:
Let x represent the number of people that want cake
And y the number of slices each can have;
Since x is inversely proportional to y;
x = k/y .....1
Where k is the proportionality constant;
To solve for k, we will substitute any of the case scenario given into equation 1.
If 14 people want cake, then they can each have 3 slices;
x = 14 , y = 3
substituting;
14 = k/3
k = 14 × 3 = 42
k = 42
the constant of proportionality in this inverse variation is 42.
Therefore,
x = 42/y
Using this table as a reference, you can see the following: A kilogram is 1,000 times<span>larger than one gram (so 1 kilogram = 1,000 grams). A centimeter is </span>100 times<span>smaller than one meter (so 1 meter = 100 centimeters). A dekaliter is </span>10 times<span>larger than one liter (so 1 dekaliter = 10 liters).</span>
Answer:
The expected value is $3.95
Step-by-step explanation:
Here, we want to get the expected value
Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up
We have this as;
0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)
= 0 + 1 + 1.2 + 1 + 0.75 = 3.95
