Solution: We are given:
μ=180,σ=25,n=100
Therefore the standard error of the mean is
Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula:
C=π⋅D or C=2π⋅R
Answer:
2804 cm²
Step-by-step explanation:
<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>
- Trapezoid = 1/2*(14+32)*24 = 552 cm² each
- Bottom = 17*32 = 544 cm²
- Top = 14*17 = 238 cm²
- Right side = 17*24 = 408 cm²
- Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²
<u>Total area:</u>
552*2 + 544 + 238 + 408 + 510 = 2804 cm²
