Answer:
6. 8 mi³
7. 72 cm³
Step-by-step explanation:
6. Volume of triangular pyramid = ⅓*A*H
Where,
A = area of triangular base = ½*b*h = ½*3*4 = 6 mi
H = height of pyramid 4 mi
Volume = ⅓*6*4 = 8 mi³
7. Volume of triangular prism = ½*bhl
Where,
b = 3 cm
h = 6 cm
l = 8 cm
Volume = ½*3*6*8 = 72 cm³
Given:
100 students:
pass = + 4
fail =+ 0
90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0
mean: 360 / 100 = 36
standard deviation:
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960
92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance
Standard deviation = √1,051.20 = 32.42
Answer:
1/3
Step-by-step explanation:
There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.
123 is a linear pair with the inside angle so
180-124= 57. Now we have two inside angles and a triangle has to be 180 degrees so
57+42=99 we know that both angles equals 99 so
180-99=80. The third angle is 81 and is a linear pair with x soooo
180-81=99
X is equal to 99. You can also do corresponding angles and have X be 99 because of the inside angle that’s also 99
The second number after the decimal is the hundredths place. To round to that place, you look at the number after it. In this case 6 is the hundredths place and 5 is the number after it. If the number after it is 5 or higher, the hundredths place number increases by 1, if it is less than 5 the hundredths place number doesn't change. So the answer is 8.47.
