Answer:
x=18
Step-by-step explanation:
A triangle ALWAYS have overall angles of 180 degrees.
When we look at this triangle, it should come to familiarity that this is a 45 45 90 triangle. This is a special type of isosceles right triangle.
But without knowing this, we can still solve this problem.
Since the triangles' overall angle is 180 and we know 45 and 45 of the two other angles, let's subtract that together to find out the overall angle where we are trying to find x.
180-45-45=90
This means that the expression 4x+18 is equal to 90, since that's the leftover angle amount.
Let's solve that equation now.
4x+18=90 Let's get rid of the 18 by subtracting it on both sides.
-18 -18
4x=72 Isolate the x by dividing both by 4.
x=18
In this problem, x is equal to 18.
Perimeter is the continuous line that forms the boundary of a closed geometric figure.
Perimeter of a pentagon = 5a ; where a is the length of its side.
a = 3√5 ⇒ P = 5 * 3√5 = 15√5
Perimeter of an octagon = 8a ; where a is the length of its side.
a = 3√5 ⇒ P = 8 * 3√5 = 24√5
Answer:
B) 700 mg to 740 mg.
Step-by-step explanation:
Because the mean is the average of a data set, it means that there must be data above and below this value.
If the average is 720 mg, in the range there must be values that exceed this value and others that are below this.
We will analyze each of the options.
A) 740 mg to 780 mg.
There are values above 720, but not below 720.
B) 700 mg to 740 mg.
In this case, there are values below and above 720.
C) 680 mg to 720 mg.
There are only values below 720.
D) 660 mg to 700 mg.
There are only values below 720.
E) 620 mg to 660 mg.
There are only values below 720.
Therefore the answer is B) 700 mg to 740 mg. Since it fulfills the premise that guarantees the mean.
Answer:
12.5%
Step-by-step explanation:
x= 136- 119
x= 17
p= 17x 100/136= 12.5%
Answer:
Choice B is correct
Step-by-step explanation:
The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);
The IQR
Variance
Standard Deviation
Range
A box plot is a graphical representation of the five number summary;
The minimum, first quartile, median, third quartile, and the maximum value in that order.
The IQR is defined as;
third quartile - first quartile
With this definition, the Interquartile Range (IQR) for Florida is;
28 - 17 = 11
while the Interquartile Range (IQR) for Australia is;
14 - 10 = 4
Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.
