Answer:
1. F
2. T
3. T
4. T
Step-by-step explanation:
Let's break down the definitions.
Quadrilateral - A polygon with 4 sides
Square - A quadrilateral with 4 equal sides and 90 degree angles
Rectangle - A quadrilateral with 4 sides with opposite sides that are congruent and have 90 degree angles
Parallelogram - A quadrilateral with 4 sides with opposite sides that are congruent and do not have 90 degree angles
Rhombus - A quadrilateral with 4 equal sides but does not have 90 degree angles
Now let's look at the questions.
Does every 4 sided figure have equal sides? - No
Is a rectangle with 4 equal sides a square? - Yes
Is every parallelogram with 4 equal sides a parallelogram? - Yes
Is every 4 equal sided figure a figure with opposite sides that are equal? - Yes
The answer is the mean is 8. The range is equal to the largest number, 10 minus the smallest number, 5. It equals 5, so d is wrong. The mean is all of the values added together, 80, divided by the number of values, 10. So, 8. The median is the middle which is between 7 and 8, so 7.5. Five has no dots.
Chebyshev came up with the
limits on how much or how many of the data must lie close to the mean. In specific
for any positive k, the proportion of the data that lies within k standard
deviations of the mean is at least: <span>
1 - 1/k²
<span>In this problem the
mean is 47 yrs therefore:
(47 – 17.3) = 29.7 = (76.7 - 47) </span></span>
The value of k is
calculated using the formula:<span>
29.7 / 11 = 2.7 = k</span>
So the % of gym members
aged between 19.4 and 76.6 is: <span>
1 - 1 / (2.6)² = 0.863 = 86.3 %</span>
<span>Therefore 86.3% of the
gym members are aged between 19.4 and 76.6</span>
10x - 35 = 15x - 10
-35 = 5x -10
-25 = 5x
-5 = x
The value of x is -5.
Answer:
The smaller number is 4
Step-by-step explanation:
Larger number = x
Smaller number = y
Write 2 equations
y + 6 = x
2x = 5y
Substitute x in the first equation to the second equation
2(y + 6) = 5y
Multiply 2(y + 6)
2y + 12 = 5y
Subtract 2y from both sides of the equation
12 = 3y
Divide both sides of the equation by 3
y = 4
x = y + 6 = 4 + 6 = 10
The smaller number is 4
Hope this helps :)
