Answer: 5
Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5.
The sum of exterior angles of a polygon = 360<span>°
Thus, the eighth exterior angle is equal to
360</span>° - (42° + 55° + 39° + 20° + 62° + 45° + 47°) = 50<span>°</span>
Answer:
The minimum sample size needed is 125.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What minimum sample size would be necessary in order ensure a margin of error of 10 percentage points (or less) if they use the prior estimate that 25 percent of the pick-axes are in need of repair?
This minimum sample size is n.
n is found when 
So
Rounding up
The minimum sample size needed is 125.
Answer:
1512 cm³
Step-by-step explanation:
Formula
Volume of right rectangular prism = Length × Breadth × Height
As given
Two blocks of wood are shaped as right rectangular prisms.
The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.
As given
The dimensions of the larger block are double the dimensions of the smaller block.
Length of the larger block = 2 × Length of the smaller block
= 2 × 9
= 18 cm
Breadth of the larger block = 2 × Breadth of the smaller block
= 2 × 3
= 6 cm
Height of the larger block = 2 × Height of the smaller block
= 2 × 7
= 14 cm
Put in the formula
Volume of larger wooden block = 18 × 6 × 14
= 1512 cm³
Therefore the volume of the wooden block is 1512 cm³ .
Answer:
x=3 and x=-1.25
Step-by-step explanation:
4x^2-7x=15
subtract 15 from each side:
4x^2-7x-15=0
factor (trying different numbers that the sum is 7 and the quotient is 15)
(2x-6 )(2x+2.5 )=0
2x-6=0 add 6 to each side
2x=6
x=3
2x+2.5=0 subtract 2.5 from each side
2x=-2.5
x=-1.25
