If the unknown side is a leg, the hypotenuse must be 26 (the longest of the other two sides). Then the Pythagorean theorem tells you
... 26² = 24² + y²
... y = √(26² -24²) = √100 = 10
The appropriate choice is
... 10
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You may recognize that this triangle is double the often-used Pythagorean triple (5, 12, 13).
Answer:
z=-1
Step-by-step explanation:
First combine the like terms: -4z-11z+2z-(-6z)=-4z-11z+2z+6z=-15z+8z=-7z
Then solve after combining like terms:
Answer:
C. 10
Step-by-step explanation:
5+5=10
10+10=20
10+20=30
The rule of an arithmetic sequence:
- first term
- a difference
We have:
substitute:
Answer: f(n) = -3n + 23
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.