Answer:
x = 14
Step-by-step explanation:
4x° + (3x + 20)° + (3x + 20)° = 180° (sum of interior angles; isocleces triangle)
10x + 40 = 180
10x = 140
x = 14
Answer:
8x6=48 so in 6 hours she will have enough money to buy it
Step-by-step explanation:
6 hours will give her 48 dollars if the dvd costs 45 so she will have to work 6 hours
Answer:
I believe this is correct, but I'm not a teacher or anything
Refraction
Refraction
Reflection
Refraction
Reflection
Reflection
Reflection
Answer:
350km
Step-by-step explanation:
If a map has a scale of 1: 500000, then 1 cm on the map is 500000 cm
So 7 cm on the map is 35000000 cm = 350 km
Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:

We substitute x=161.4 ,
, and
to get:

From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%