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Harlamova29_29 [7]
3 years ago
6

Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25

Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. (Round your values to the nearest hundredth.) Use the equation to estimate the minimum hourly wage of a Colorado State worker in 2025. Show your work.

Mathematics
1 answer:
Juliette [100K]3 years ago
7 0
From the excel plotting, we see that the least square regression equation is given by:
m=(7.25-2.65)/(2009-1978)
m=0.15
thus the equation will be:
0.15(x-0)=y-2.65
y=0.15x-2.65

b] Using the equation we can approximate the hourly wage in 2025 as follows:
x=(2025-1978)=47
y=0.15(47)-2.65
y=7.05-2.65
y=4.4
The plot is as shown in the figure:


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If you roll a dice 100 times how many times would you expect to roll a product that is a multiple of 5
Luden [163]

If you're rolling a single cube, then ...

-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = <em>16-2/3 %</em> .

If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.


If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)
-- The probability of rolling one of those is
                                                             (7/36) = <em>19-4/9 %</em> .

If everything is acting perfectly random, then in 100 rolls,
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3 0
3 years ago
Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
Whats 4 + 2 i forgot,<br> and whats 5 + 5 + 9 + 8 + 90+ 90 - 1000 i also forgot
Vlad [161]

Answer:

4 + 2 = 6

5 + 5 + 9 + 8 + 90+ 90 - 1000 = -793

Step-by-step explanation:

hope this helps ;)

have a great day!! <3

8 0
3 years ago
How much does 1/3 package weigh
rodikova [14]

Answer:

1/3 package of what

Step-by-step explanation:

3 0
2 years ago
Add.
Reika [66]

Answer:

The answer to the first question is 7.15

The answer to the second question is 1.73

4 0
3 years ago
Read 2 more answers
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