Answer: b, c and e.
Step-by-step explanation:
180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.
Now, let's suppose we have a figure with an odd number of sides.
We can draw that figure such that we have a side pointing down, and a vertex pointing up.
Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.
Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.
Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.
Then the correct options are the ones with an even number of sides:
b, c and e.
Answer:
There is significant evidence to conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Step-by-step explanation:
Given the data :
6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
The hypothesis:
H0: μ = 3.2
H1 : μ > 3.2
n = sample size = 12
The sample mean, xbar = ΣX / n
xbar = 53.2 / 12
xbar = 4.43
Using calculator;
Sample standard deviation, s = 2.147
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.43 - 3.2) ÷ (2.147/sqrt(12)
1.23 / 0.6197855
Test statistic = 1.985
The Pvalue using the Pvalue from Tscore calculator :
Tscore = 1.985 ; df = 12 - 1 = 11
Pvalue = 0.036
Since Pvalue < α ; We reject the Null
Hence, we conclude that the replacement time for streetlights under the new contractor is longer than the replacement time under the previous contractor.
Y - 3 = -1/4(x - 4)
y - 3 = -1/4x + 1
y = -1/4x + 1 + 3
y = -1/4x + 4
ok....the y int is (0,4)....the slope is -1/4...
x int can be found by subbing in 0 for y and solving for x
y = -1/4x + 4
0 = -1/4x + 4
1/4x = 4
x = 4 * 4
x = 16....so ur x int is (16,0)
so first plot ur points (0,4)....and since ur slope is -1/4, go down 1 space and to the right 4 spaces, then down 1, and to the right 4....keep doing this and u will cross the x axis at (16,0)
Cassie's total spent is equal to money spent on shares bought and commission charges of broker.
<u>Money spent on shares bought:</u>
- 92 shares of Hyren Airlines at $13.70 per share =
- 130 shares of Giaco Household Goods at $3.28 per share =
- 126 shares of Iwad Records at $8.06 per share =
The sum total is 
dollars
<u>Commission charges of broker:</u>
If broker charges $4.25 every 10 shares, he charges 
dollars per share.
Total number of shares bought by Cassie is 
shares.
Total spent on commissions, thus, is 
dollars.
Cassie's total money spent is 
dollars.
Rounded to nearest dollar, it is $2850.
ANSWER: $2850
Answer:
-10%
Step-by-step explanation:
price elasticity of demand = % change in demand / % change in price
Here, the "price" changes from 15 to 45, so its percent change is ...
((new value)/(old value) -1) × 100%
= (45/15 -1) × 100%
= 200%
The % change in demand is given as -20%, so the price elasticity is ...
price elasticity of demand = (-20%)/(200%) = -0.10 = -10%
