<h2>
Answer:</h2><h2>
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>
Step-by-step explanation:
A hertz is used to measure one cycle (complete wave) of a vibration.
The number of cycles per second is the frequency, measured in hertz.
A guitar string vibrates back and forth 88 times in 1 minute
The vibrations in 1 second =
= 1.466 Hz ≈1.5 Hz
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz
Answer:
The standard deviation used in the test statistic is 0.04.
Step-by-step explanation:
A single proportion <em>z</em>-test can be used to determine whether the proportion of people in Norway with a blood type of A positive is different from that in the United States.
The proportion of people in Norway with a blood type of A positive is 36% or 0.36.
The hypothesis can be defined as:
<em>H₀</em>: The proportion of people in Norway with a blood type of A positive is 36%, i.e. <em>p</em> = 0.36.
<em>Hₐ</em>: The proportion of people in Norway with a blood type of A positive is different from 36%, i.e. <em>p</em> ≠ 0.36.
The test statistic is:

The information provided is:
<em>p</em> = 0.36
<em>n</em> = 150
Compute the standard deviation used in the test statistic as follows:



Thus, the standard deviation used in the test statistic is 0.04.
Answer:
Domain: (-5, 1)
Range: (-1, 5)
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
- Range is the set of y-values that are outputted by function f(x)
Step-by-step explanation:
According to the graph, the line's x-values span from -5 to 1. Since both are open dot, they are exclusive from the domain:
Interval Notation: (-5, 1)
Inequality Notation: -5 < x < 1
According to the graph, the line's y-values span from -1 to 5. Since both are open dot, they are exclusive from the range:
Interval Notation: (-1, 5)
Inequality Notation: -1 < y < 5
Answer:
y>5.5
Step-by-step explanation:
4y+3>2y+14
Subtract 2y from both sides.
2y+3>14
Subtract 3 from both sides.
2y>11
Divide 2 by both sides.
y>5.5
-hope it helps
D.
The graph is widening by a factor of 2, or growing half as fast. Check by plugging in 2 or 4.