Answer:
Ste4
×
y
=
4
×
(
1
4
x
−
5
)
4
y
=
(
4
×
1
4
x
)
−
(
4
×
5
)
4
y
=
(
4
×
1
4
x
)
−
20
4
y
=
1
x
−
20
Next step is to move the
x
term to the left side of the equation by subtracting
1
x
from each side of the equation:
−
1
x
+
4
y
=
−
1
x
+
1
x
−
20
−
1
x
+
4
y
=
−
0
−
20
−
1
x
+
4
y
=
−
20
Now, to make the coefficient of
x
positive we need to multiply both sides of the equation by
−
1
−
1
×
(
−
1
x
+
4
y
)
=
−
1
×
−
20
(
−
1
×
−
1
x
)
+
(
(
−
1
×
4
y
)
=
20
1
x
−
4
y
=
20
or
1
x
−
4
y
=
20p-by-step explanation:
This Question is Incomplete
Complete Question
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?
Answer:
Sample size n = 16
Step-by-step explanation:
We use the formula for Margin of Error for the question
Margin of Error = z × Standard deviation/√n
Margin of Error = 1
z score for 99% confidence interval = 2.576
Standard deviation = 100
1 = 2.576 × 100/√n
1 × √n = 257.6
√n = 257.6/1
n = √257.6
n = 16.049922118
Approximately = 16
Therefore, the sample size = 16
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
Find out more on equation at: brainly.com/question/2972832
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The independent variable in the function f(c) = 2c + 9 is c whereas the dependent variable is f.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
If b > 1, it is an exponential growth but if b < 1, it is an exponential decay.
Given the function:
f(x) = (1/2)(3)ˣ
since 3 > 1, it is an exponential growth.
The function represented by f(x) = (1/2)(3)ˣ is an exponential growth
Find out more on equation at: brainly.com/question/2972832
#SPJ1
Answer: -2-8= -10
4+1 = 5 (the negative switches to a positive)
Your slope equals -10/5. You can look at this in a fraction for when you might use it later in point slope or slope intercept form, or you can just simplify it to -2. It might also be helpful to remember the numerator as the rise and the denominator as run, or “rise over run” if you need to graph it.
Slope = -10/5 or -2
Step-by-step explanation:
Slope, often referred to as the variable “m” can be found by solving y2-y1/x2-x1. You can do it the opposite way, though make sure the y-values are on the top.
Answer:
35 degrees.
Step-by-step explanation:
It's a reflective sideway triangle.
