Answer:
-6, -3
3, 8
Step-by-step explanation:
In order to find the number that are solutions to the compound inequalities, you first solve fr x on each inequality.
First inequality:
interval = (-∞ , -3]
Second inequality:
interval = (2 , ∞)
The interval solution is (-∞ , -3] U (2 , ∞)
The number that are included in the previous interval are:
-6, -3
or
3, 8
Answer:
They can make a maximum of 7 fruit baskets with each basket having same number of each type of fruits.
Step-by-step explanation:
Given:
Number of bananas = 49
Number of apples = 56
Number of kiwis = 35
To find the greatest number of fruit baskets they can make using same numbers of each type of fruit in each basket.
Solution:
In order to find the greatest number of fruit baskets they can make using same numbers of each type of fruit in each basket, we will find the greatest common factor of the numbers of different types of fruits.
<em>In order to find the G.C.F, we will list down the factors of each and then select the common factors.</em>
The factors can be given as:
<em>We find out that 7 is the greatest common factor for all the numbers.</em>
Thus, they can make a maximum of 7 fruit baskets with each basket having same number of each type of fruits.
The answer would be 17n+6.
Answer:
52.5% probability that A occurs given B occurs
Step-by-step explanation:
Suppose we have two events, A and B, the conditional probability formula is:
In which
P(A|B) is the probability of A happening given that B happened.
is the probability of both A and B happening.
P(B) is the probability of B happening.
In this problem, we have that:
So
52.5% probability that A occurs given B occurs
9514 1404 393
Answer:
10,450 cm³
Step-by-step explanation:
The volume is the product of the area of the facing face and the depth of the figure. The area of the facing face is the sum of the areas of a rectangle and a triangle. The relevant area formulas are ...
A = bh . . . . . area of rectangle with base b and height h
A = 1/2bh . . . area of triangle with base b and height h
Here the rectangle and triangle have the same base, 19 cm. Then the sum of the areas is ...
Atot = (19 cm)(18 cm) + 1/2(19 cm)(14 cm)
Atot = (19 cm)(18 cm +1/2×14 cm) = (19 cm)(25 cm) = 475 cm².
Then the volume of the figure is ...
V = Bh = (475 cm²)(22 cm) = 10,450 cm³
_____
<em>Additional comment</em>
Effectively, this is the volume of a cuboid whose height is that of the bottom rectangular prism (18 cm) plus half the height of the triangular prism on top (1/2×14 cm = 7 cm). (18+7=25) The volume is essentially 19 cm × 25 cm × 22 cm. This recognition can serve to simplify the work or to act as a check on the work done some other way.