Answer:
20
Step-by-step explanation:
using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20
Answer:
The total amount due at the register will be: $65.09
Step-by-step explanation:
The cost of an item = $61
tax on item = 6.7%
The tax amount = 6.7% × 61
= 0.067 × 61
= $ 4.09
The total cost = cost of an item + tax amount
= $61 + $4.09
= $65.09
Therefore, the total amount due at the register will be: $65.09
Answer:
The function f(x) was translated right 3 units and up 2 units
Step-by-step explanation:
<em>k </em>= 2, which is denoted as vertical movement
<em>b </em>= -3, which is denoted to horizontal movement
30kx - 6kx = 8
24kx = 8 /(÷8)
3kx = 1
x = 1/3k
Answer: = ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 65.3
Standard deviation r = 5.2
Number of samples n = 36
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
65.3 +/-1.645(5.2/√36)
65.3 +/-1.645(0.86667)
65.3+/- 1.4257
65.3+/- 1.4
= ( 63.9, 66.7)
Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)
