This is Geometry. Can someone help me find the side length asked for?
1 answer:
The trick is to recognize a few things.
1. These are similar triangles, so the ratio of BU to BC is the same as BT to BA and UT to CA.
2. BC = 2 BUs and BA = 2 BTs
This means the sides of the short triangle are half the length of the sides of the big triangle.
Put in other words, CA = 2 UT
Put into an equation x+29 = 2(x+19).
x + 29 = 2x + 38
–9 = x
So that means UT = 10 and CA = 20
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Answer: a. n= 1068
b. n= 164
Step-by-step explanation:
The formula to find the sample size :
, where p=prior population proportion , z* = critical z-value and E = Margin of error.
Here , let p=proportion of computers that use a new operating system.
Given : Confidence level = 95%
i.e. z* = 1.96 [by z-table]
Margin of error : E = 3% =0.03
a. If p is unknown , then we assume p=0.5
Then,
i.e. n= 1068
b. p=0.96
Then,
i.e. n= 164.
Answer:
We conclude that the distance between the two numbers on a number line will be: 322
Step-by-step explanation:
Given the numbers
-212
-534
There can be a lot of ways to determine the distance between the two numbers on a number line like counting every number between them.
But, we can use a more efficient method in terms of determining the distance by taking the absolute value of the difference between those numbers.
so
Distance between the numbers:
Apply rule: -(-a) = a
Apply absolute rule:
Therefore, we conclude that the distance between the two numbers on a number line will be: 322