Answer:
Step-by-step explanation:
Solve the system of inequalities:
x + 4 < 0
OR:
6x > -12
The first inequality yields the solution:
x < -4
The second inequality gives the solution:
x > -2
The total solution is the disjunction of the individual solutions, i.e., the union of both.
It can be expressed as
Answer:
29/6
Step-by-step explanation:
The expression that we have to evaluate in this problem is
for .
First of all, we re-arrange the expression. We know that:
- The product of a positive number (+) and a negative number (-) is negative (-)
- The product of a negative number (-) and a negative number (-) is positive (+)
So we can rewrite the expression as
Also, we can combine the two numerical terms:
Therefore the expression becomes
Now we can substitute , and we find:
Answer:
So then we have approximately 14% of the values higher than 95.5
Step-by-step explanation:
For this case we assume that the info is given on the figure attached.
From this figure we have the following frequencies for each class
Class Frequency
___________________________
70.5-75.5 13
75.5-80.5 7
80.5-85.5 6
85.5-90.5 10
90.5-95.5 19
95.5-100.5 9
____________________________
Total 64
So we have a total of 64 values and we want to find the percentage of students that scored higher than 95.5 so we can use the formula of relative change and we got:
So then we have approximately 14% of the values higher than 95.5
Answer: 3.7 in.
Step-by-step explanation:
Given, A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.
To find: The maximum radius of the basketball that the designer can create.
For this, Surface area of basketball = area of fabric
Formula: Surface area of sphere = , where r is the radius.
Then,
Hence, the maximum radius of the basketball that the designer can create is 3.7 in.