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3 years ago

Please answer this question correctly for 24 points and brainliest!!

Mathematics

1 answer:

amm18123 years ago

8 0

Answer:

$110

Step-by-step explanation:

Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...

a + b + c = 480 . . . . . . the combined total of their earnings

-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan

2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan

Adding the first and third equations, we get ...

(a + b + c) + (2a - c) = (480) + (0)

3a + b = 480

Subtracting the second equation gives ...

(3a +b) - (-a +b) = (480) -(40)

4a = 440 . . . . . . . . simplify

a = 110 . . . . . . . . . . divide by the coefficient of a

Alan earned $110.

_____

Check

Bob earned $40 more, so $150. Charles earned twice as much, so $220.

The total is then $110 +150 +220 = $480 . . . . as required

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A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees i

sukhopar [10]

Answer:

The incentive program does not cuts down on the number of days missed by employees.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.

The hypothesis for the test can be defined as follows:

H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.

Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.

From the information provided the data computed is as follows:

$n=10\\\bar d=-1.1\\SD_{d}=2.99$

Compute the test statistic value as follows:

$t=\frac{\bar d}{SD_{d}/\sqrt{n}}$

$=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16$

The test statistic value is -1.16.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

$p-value=P(t_{n-1}$

*Use a t-table.

The p-value of the test is 0.1379.

The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.

Thus, there is not enough evidence to support the claim.

Conclusion:

The incentive program does not cuts down on the number of days missed by employees

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3 years ago

Write the following in function notation y = 3x - 10

oksano4ka [1.4K]

In function notation, where f is the function, f(x)=3x-10. Using f(x) means you can write things like f(0) which means: what is the value of the function when x=0? Think of f for flexibility, because functions have greater flexibility than variables like y.

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3 years ago

Read 2 more answers

What is 4231 divided by 13 ? Please simplify and show the original answer without simplifying .

Vinvika [58]

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3 years ago

Find the area of the shaded region. Round your answer to the nearest tenth.

Alex

Check the picture below on the left-side.

we know the central angle of the "empty" area is 120°, however the legs coming from the center of the circle, namely the radius, are always 6, therefore the legs stemming from the 120° angle, are both 6, making that triangle an isosceles.

now, using the "inscribed angle" theorem, check the picture on the right-side, we know that the inscribed angle there, in red, is 30°, that means the intercepted arc is twice as much, thus 60°, and since arcs get their angle measurement from the central angle they're in, the central angle making up that arc is also 60°, as in the picture.

so, the shaded area is really just the area of that circle's "sector" with 60°, PLUS the area of the circle's "segment" with 120°.

$\bf \textit{area of a sector of a circle}\\\\
A_x=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =60
\end{cases}\implies A_x=\cfrac{60\cdot \pi \cdot 6^2}{360}\implies \boxed{A_x=6\pi} \\\\
-------------------------------\\\\$

$\bf \textit{area of a segment of a circle}\\\\
A_y=\cfrac{r^2}{2}\left[\cfrac{\pi \theta }{180}~-~sin(\theta ) \right]
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =120
\end{cases}$

$\bf A_y=\cfrac{6^2}{2}\left[\cfrac{\pi\cdot 120 }{180}~-~sin(120^o ) \right]
\\\\\\
A_y=18\left[\cfrac{2\pi }{3}~-~\cfrac{\sqrt{3}}{2} \right]\implies \boxed{A_y=12\pi -9\sqrt{3}}\\\\
-------------------------------\\\\
\textit{shaded area}\qquad \stackrel{A_x}{6\pi }~~+~~\stackrel{A_y}{12\pi -9\sqrt{3}}\implies 18\pi -9\sqrt{3}$

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3 years ago

Determine the graph of the equation y=20(0.8)^x/3.

otez555 [7]

Answer: it is the 4th graph

Step-by-step explanation:

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