5x³ + 8x² - 7x - 6
1)
x + 2 is a factor because when using synthetic division, the remainder is zero.
-2 | 5 8 -7 -6
<u>| ↓ -10 4 6 </u>
5 -2 -3 0 ← remainder is zero
2)
x + 2 is not a factor because when using synthetic division, the remainder is not zero.
-1 | 5 8 -7 -6
<u>| ↓ -5 -3 10 </u>
5 3 -10 4 ← remainder is not zero
More than $1137.50 but less than $1327.34
Answer:
A = (1/2) * b * h
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
The area of a triangle is half the product of the base of the triangle and the triangle height. The area is given by the formula:
A = (1/2) * b * h
A = (1/2)bh = 0.5bh
Where A is the area of the triangle, b is the bae of the triangle and h is the height of the triangle.
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
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 = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
