Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
Answer:
32 people
Step-by-step explanation:
If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.
Answer:
Step-by-step explanation:
![Z=\frac{x-mu}{\sigma }](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7Bx-mu%7D%7B%5Csigma%20%7D)
X - Heights of women aged 20 to 29: X is N(64, 2.7)
Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)
a) X=6'=72"
Z=![\frac{72-64}{2.7} =2.963](https://tex.z-dn.net/?f=%5Cfrac%7B72-64%7D%7B2.7%7D%20%3D2.963)
b) Y = 72"
z=![\frac{72-69.3}{2.8} =0.965](https://tex.z-dn.net/?f=%5Cfrac%7B72-69.3%7D%7B2.8%7D%20%3D0.965)
c) 72' women can be taken as very tall but men moderately taller than average
d) Y<5'5" =65"
Z<![\frac{65-69.3}{2.8} =-1.536](https://tex.z-dn.net/?f=%5Cfrac%7B65-69.3%7D%7B2.8%7D%20%3D-1.536)
e) X>73"
Z>![\frac{73-64}{2.7} =3.33](https://tex.z-dn.net/?f=%5Cfrac%7B73-64%7D%7B2.7%7D%20%3D3.33)
Almost 0% can be taken
f) IQR =Q3-Q1
Z scores =
Answer: her call lasted for 44 minutes
Step-by-step explanation:
Linda purchase a prepaid phone card for $30. This means that the credit on her card is $30.
Long distance calls cost $0.17 each. Linda use her card only to make a long distance call. Assuming she made a total of x minutes of long distance calls, the cost would be $0.17x. The amount remaining on her card will be
30 - 0.17x
if the remaining credit on her card is $22.52, the number of minutes,x that the call lasted will be
22.52 = 30 - 0.17x
0.17x = 30 - 22.52
0.17x = 7.48
x = 7.48/0.17 = 44
Answer:
R760
Step-by-step explanation:
If $1 is equivalent to R8 and the total oil costs $95 you must multiply 8x95. This leaves you with an answer of R760