The probability from 1.5 ≤ x ≤ 3 can be calculated by dividing the Area from x=1.5 to x=3 by the total Area of the distribution.
The given distribution is rectangular shaped, so its Area will be = Length x Width = 1 x 3 = 3 square units
From x = 1.5 to x = 3, the length is 1.5 and width is 1. So the area between these two intervals = 1.5 square units.
Thus, <span>P(1.5 ≤ X ≤ 3) = 1.5/3 = 0.5
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Answer:
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Step-by-step explanation:
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Answer:
3 3/5 + 1 1/4 = <u>4 17/20</u>
7/8 + 1/12 =<u> 23/24</u>
8/9 - 2/5 = <u>22/45</u>
5 1/4 - 2 2/3 = <u>2 7/12</u>
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
<u>Next problem:</u>
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
<u>Next problem:</u>
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
<u>Next problem:</u>
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
Step-by-step explanation:
1. Oblicz:
a) Liczbę o 15% mniejszą od 60
b) Liczbę, której 15% stanowi 60
c) Jakim procentem 60 jest 15
d) O ile %większa jest 60 od 15
2. Kasia kupiła buty na wyprzedaży przecenione o 20%. Ich cena początkowa to 180 zł. W domu sprzedała je siostrze zarabiając na tym 10% wartości. Ile zapłaciła Kasi siostra za buty?
3. Liczba, którą powiększymy o 20% daje nam 30. Jaka to była liczba?
4. Za dwie książki zapłacono 42 zł. Ile kosztuje droższa z nich, jeżeli jedna jest o 25 % tańsza od drugiej?
Answer:
Greater than 21
Less than 45
Step-by-step explanation:
You add and subtract the two numbers you are given.
33 - 12 = 21
The third side has to be bigger than 21.
33 + 12 = 45
The third side has to be less than 45.
It can be written in one math sentence:
21 < x < 45
