Answer:
A. x = 10 years
B. x = 20 years
Step-by-step explanation:
Given:
y = 0.7(200 - x)
Where,
y = target heart rate in beats per minute
x = person's age in years
How old is a person with a target heart rate of 133 beats per minute?
y = 0.7(200 - x)
133 = 0.7(200 - x)
133 = 140 - 0.7x
133 - 140 = -0.7x
-7 = -07x
x = -7/-0.7
x = 10 years
B. How old is a person with a target heart rate of 126 beats per minute?
y = 0.7(200 - x)
126 = 140 - 0.7x
126 - 140 = -0.7x
-14 = -0.7x
x = -14/-0.7x
x = 20 years
Answer:

Step-by-step explanation:
The given function is

By the triangle inequality property,

and the alternate triangle inequality property;

We apply this property to get:

Expand parenthesis to get:

Simplify to get:

Group similar terms to get:


When x>5,

That's;

The correct answer is CI = (71.415%, 78.915%)
The correct option is (A)
<h3 /><h3>What is Confidence level?</h3>
A confidence interval is the mean of your estimate plus and minus the variation in that estimate.
Given:
x = 376
Sample = 500 students
CI= [(376/500-1.96 √((376/500)*(124/500)/500) , (376/500-1.96
√((376/500)*(124/500)/500)]
CI = (71.415%, 78.915%)
Hence, CI = (71.415%, 78.915%)
Learn more about CI here:
brainly.com/question/26772699
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Answer:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Step-by-step explanation: