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mrs_skeptik [129]
2 years ago
15

Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisibl

e by 3.
a. 9/30
b. 11/30
c. 1/3
Mathematics
1 answer:
MAVERICK [17]2 years ago
4 0
There are a total of 30 integers and 10 of these are divisible by 3 (3, 6, 9, 12, 15, 18, 21, 24, 27, and 30). So the probability of getting an integer divisible by 3 is \frac{10}{30} = 1/3. The answer is letter C.
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Rahzel wants to determine how much gasoline he and his wife use in a month.He calculated that he used 78 1/3 gallons of gas last
attashe74 [19]
52. Rahzel wants to determine how much gasoline they had every month => He used 78 1/3 gallons of gas monthly => his wife used 41 3/8 gallons of gas last month How much is to total of gas that they both used. First let’s convert this fraction to decimal => 78 1/3 = 78.33 => 41 3/8 = 41.38 Now, let’s start adding. => 78.33 + 41.38 = 119.71 this is already rounded to the nearest hundredths.
7 0
2 years ago
Two sandboxes with the same area are shown. The equation w(3w+1)=5^2 represents the area of Sandbox 2 in terms of its width. Whi
liubo4ka [24]

sandbox 1 area = 5*5 = 25 square m

sandbox 2

25=w*(3w+1)=

3w^2+w-25=0

w=2.7248 (round to 2.72 m)

2.72*3=8.16+1 = 9.16

Longest side = 9.16 meters

6 0
2 years ago
Read 2 more answers
Rectangle lmno is rotated 90 degrees clockwise around the origin to create l’m’n’o which statement best describes the relationsh
vova2212 [387]

Answer:

The correct option is A: they are equidistant from origin

Step-by-step explanation:

Since the rotation is performed around the fixed axis on its origin, there will not be any change to the distances between the origin and the point n or n'. The size of the rectangle has neither increased or decreased so, it cannot be possible that the distance between the origin and the point n could change after the object is rotated.

Hope that answers the question, have a great day!

4 0
2 years ago
ana and christion collect stamps.together they have 500 stamps in their collection. ana has 150 fewer stamps then christian.how
mezya [45]
Lets represent Ana and Christion using the Letters A and C
a+c=500
c=a+150
now substitute c for a+150 back into the first equation
a+a+150=500
a+a=350
2a=350
Divide by two
a=175
Now that we know annie has 175 all we do is subtract that from the total (500)
C=325
Sure enough, 175 is 150 less than 325
Hope that helped, send me a message if you need clearing up :D
6 0
2 years ago
Find the integer a such that<br> a.a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.
Margaret [11]
Given that a is an integer from -22 to 0 such that a is equivalent to 43 (mod 23).

Such a can be obtained as follows:

a = 43 (mod 23) - 23 = 20 - 23 = -3.

Therefore, a = -3.
8 0
2 years ago
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