Answer:
The first transformation was a rotation rotation about point A
The second transformation was a reflection across line M
Answer:
None of the equations are true for p = 3.4
Step-by-step explanation:
In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:
A. 3p < 10.2
3*3.4 < 10.2
10.2 < 10.2
Not true, since the left side is equal to the right side and not less.
B. 13.6 < 3.9p
13.6 < 3.9*3.4
13.6 < 13.26
Not true since 13.6 is greater than 13.26
C. 5p > 17.1
5*3.4 > 17.1
17 > 17.1
Not true since 17 is less than 17.1
D. 8.5 > 2.5p
8.5 > 2.5*3.4
8.5 > 8.5
Not true since the left side is equal to the right side.
Answer:
The critical t values are -1.746 and 1.746.
Step-by-step explanation:
Given information:
The weight of a USB flash drive is 30 grams and is normally distributed.
Population mean = 30
Sample size = 17
Sample mean= 31.9
Standard deviation = 1.8
Significance level, α=0.10
Null hypothesis: 
Alternative hypothesis: 
It is a two tailed test.
The t-critical values for a two-tailed test, for a significance level of α=0.1 are -1.746 and 1.746.
Therefore the critical t values are -1.746 and 1.746.
Answer:
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5)
Step-by-step explanation:
The distinction between "straight line" and "blue diamonds" is that the straight line represents the relation for all possible values of x. The blue diamonds show the values of y for very specific values of x.
Since x is the amount of rice from a bulk bin, we assume it can take any non-negative value. Hence, the graphs with negative values or with "blue diamonds" are not appropriate.
The straight-line graph in the first quadrant is the best choice.
Answer:
Volume of the right pyramid = 288 m²
Step-by-step explanation:
Volume of the pyramid = 
From the ΔAOB,
By Pythagoras theorem,
AB² = AO² + OB²
(6√2)² = AO² + (6)²
72 = AO² + 36
AO = √(36) = 6 m
Since base of the pyramid is a square so area of the base = (Length × Width) = (side)²
Now volume of the pyramid = ![\frac{1}{3}[(Length)(width)]\times height](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5B%28Length%29%28width%29%5D%5Ctimes%20height)
= 
= 288 m²
Therefore, volume of the right pyramid is 288 m².