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Aliun [14]
3 years ago
9

There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will g

et?
Mathematics
2 answers:
hodyreva [135]3 years ago
7 0

Answer:

The person who receives the most will get $24

Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

x+y+z=48 ----> equation A

x:y:z=3:2:1

so

\frac{x}{y}=\frac{3}{2}

x=1.5y ----> equation B

\frac{y}{z}=\frac{2}{1}

z=0.5y ----> equation C

substitute equation B and equation C in equation A

1.5y+y+0.5y=48

solve for y

3y=48\\y=\$16

Find the value of x

x=1.5(16)=\$24

Find the value of z

z=0.5(16)=\$8

therefore

The person who receives the most will get $24

Pani-rosa [81]3 years ago
4 0

Answer:

$28 would go to the person recieving the most.

Step-by-step explanation:

3+2+1=6

6x=48

/6   /6

x=8

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77.1% chance that all 3 orders are correct.
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5 0
3 years ago
Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 669 randoml
Lady_Fox [76]

Answer:

a) p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

b) Null hypothesis:p = 0.39

Alternative hypothesis:p \neq 0.39

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The true proportion of adults that would erase all their personal information online if they could is 0.39 or 39%". So we want to check if the population proportion is different from 0.39 or 0.39%, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Part a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

Part b. Identify the null and alternative hypotheses.

Null hypothesis:p = 0.39

And for the alternative hypothesis we have    

Alternative hypothesis:p \neq 0.39  

6 0
3 years ago
Which is equivalent to 8X- Y + 3X
Zarrin [17]

Answer:

11x-y or 5x+y.

Step-by-step explanation: I hope this helps, I really don't know what the question means, since it not that specific.

6 0
3 years ago
YA
irakobra [83]

Answer:

a) P(0, <u>2</u>), Q(<u>4</u>, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, <u>2</u>)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(<u>4</u>, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

3 0
2 years ago
Find the surface area of the composite figure.
ELEN [110]

Answer:

644cm^2

Step-by-step explanation:

First we'll work out the surface area of the pink figure.

That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.

However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.

The above works out to 2\times(30+100+120)-72=428 cm^2.

Then we'll work out the surface area of the purple figure.

This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.

That's 2\times(24+48)+72=216cm^2.

So the total surface area is 428+216=644cm^2.

6 0
1 year ago
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