Answer: D. X = 6 maps to y = 2
Step-by-step explanation:
i guessed and got it right lol
The situation that is a function is: C. The weight of a package and the cost of postage.
<h3>What is a Function?</h3>
A function can be described as a relation whereby there can only be one exact possible output value (dependent variable) for every input value (independent variable) in the relation. This means, no input value has two different output values. However, two different input values can have the same output value.
In a function, the output value is dependent on the input value.
For example, the cost of postage (output) is dependent on the weight of a package (input).
Therefore, the situation that is a function is: C. The weight of a package and the cost of postage.
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Answer:
2.897
Step-by-step explanation:
Let us find the mean and variance for the sample first.
105 104 110 112
114 106 108 109
Mean = sum/8 = 108.5
Variance = 12
Std dev = sq rt of variance = 3.464
Std error = std dev/ sq rt n
since n =8, we get std error = 1.225
Since sample size is small, df =8-1 =7
For 95% confidence intervals, t critical value for two tailed=2.365
Margin of error = std error x t critical = 1.225(2.365)
=2.897
The slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
The given coordinate point is (-1, 5) and slope=-4.
<h3>What is the slope intercept form?</h3>
The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Substitute (x, y)=(-1, 5) and m=-4 in standard form of the slope intercept form, we get
5=-4×(-1)+c
⇒ c=5-4
⇒ c=1
Substitute m=-4 and c=1 in y=mx+c, we get
y=-4x+1
Therefore, the slope-intercept form of the equation of the line through the given point with the given slope is y=-4x+1.
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Answer:
Y=168
Step-by-step explanation:
Y varies directly as X
Y=kx
K is a constant
28=k2
K=28/2 =14
Y=14x
Y=14×12
Y=168
