There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.
<h3>What is a point estimate of the population mean?</h3>
A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.
The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.
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Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
Answer:
Option 3
Step-by-step explanation:
24 tiles
you take 2 yards and 3 yards and multiple them together getting 6 yards, then convert yards to feet resulting in 18 feet, divide that by 1.5 ft and you get 24 tiles.
Answer:
a) 4x + 76 = 180 (x = 26)
b)
- m<1 = 102
- m<2 = 78
Step-by-step explanation:
First we know 4x + 76 = 180. The reason for that is we know angle one plus angle two = 180 so 3x + 1x + 76 has to equal 180.
We can solve for x now.
4x + 76 = 180.
Subtract 76 to maintain equality on both sides.
4x = 104.
x = 26
Now we can get the angles.
For angle #1 let's substitute x as 26.
angle one = 26 + 76.
angle one = 102
For angle #2 let's substitute x as 26.
angle two = 3(26)
angle two = 78
Let's check!
78 + 102 = 180.
180 = 180 YES
Well, this took some time :)
