Answer:
Step-by-step explanation:
y=4 times 1/2 to the power of x can be written symbolically as
4 4
y = 4(1/2)^x. This is the same as y = ------- or y = -------- * 2^(-x)
2^x 1
This function is a "decaying exponential."
A suitable table follows:
x 4(2^[-x]) x y
0 4(2^0) (0, 4)
1 4(2^1) (1, 8)
2 4(2^2) (2, 16)
and so on.
Answer:
18. Scalene
19. Quadrilateral
20. option i)
Step-by-step explanation:
18. A triangle whose all the three sides are different is called a scalene Triangle . Where are whose two sides are equal is called an isosceles triangle and whose all the sides are equal is called an equilateral triangle. Here all the sides are of different measurement hence it is a scalene triangle.
19. A polygon containing
3 sides is a triangle
4 sides is Quadrilateral
5 Sides is a Pentagon
6 sides is a Hexagon
8 Sides is Octagon
Our polygon contains four sides, it is hence a quadrilateral
20.
Option i)
In two congruent figures , the corresponding sides and angles are equal.
corresponding side of s is side measuring 14 ft and that of t is the side measuring 12 ft
Hence s = 14 and t = 12
corresponding angles of u is angle measuring 90° and that of r is the angle measuring 90°
Hence ∠u = 90° and ∠r=90°
Three students want to estimate the mean backpack weight of their schoolmates. To do this, they each randomly chose 8 schoolmates and weighed their backpacks. Then as per the given sample data,
(a) The sample means of the backpacks are: 6.375,6.375,6.625
(b) Range of sample means: 0.25
(c)The true statement is: The closer the range of the sample means is to 0, the less confident they can be in their estimate.
For the first sample, mean= 6.375
For the second sample, mean= 6.375
For the third sample, mean= 6.625
Range of sample means=Maximum Mean- Minimum Mean
= 6.625 - 6.375
= 0.25
The students will estimate the average backpack weight of their classmates using sample means, the true statement is:
The closer the range of the sample means is to 0, the more confident they can be in their estimate.
Learn more about range here:
brainly.com/question/24326172
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Answer:-4(2x-5)
Step-by-step explanation:
-4(2x-5)
-4(2x)+(-4)(-5)
-8x+20
-8/-4x+20/-4
-4(2x-5)
9/8
Explanation: a perpendicular slope is the opposite of what the normal slope was before
