N=1/2/18
n=1/2 multiplied 1/18
n=1/36
Answer:
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.
Answer:
The 95 % confidence intervals (653.3 , 657.0) for the population mean test score
Step-by-step explanation:
Given school districts n = 420
The average score (Population mean) μ = 655.2
and standard deviation σ = 19.1
The 95% of confidence intervals μ± 1.96 σ/√n
The 95% of confidence intervals (μ- 1.96 σ/√n , μ+ 1.96 σ/√n)
The 95% of confidence intervals
( () ,
(655.2-1.826 , 655.2+1.826)
(653.3 , 657.0)
<u>Conclusion</u>:-
The 95 % confidence intervals (653.3 , 657.0) for the population mean test score
Answer:
a
Step-by-step explanation:
Answer:
1. 519.75 cm^3
2. 19.22 cm^3
3. 613.6 cm^3
4. 1365.68 cm^3
Step-by-step explanation:
Hello again, similar to the other questions, these problems use the same formulas.
1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.
4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3