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saw5 [17]
2 years ago
7

For a particular list of four distinct integers the mean, median and range have the same value. If the least integer in the list

is 10, what is the greatest value for an integer in the list?
Mathematics
1 answer:
MatroZZZ [7]2 years ago
6 0

Answer:

The greatest value = 30

Step-by-step explanation:

Let the greatest value in the given 4 integers be x.

So, the least integer is 10 and the greatest integer is x.

Let the remaining two integers be 'a' and 'b'.

Now,

Mean = \frac{10+a+b+x}{4}

Median = Average of 2nd and 3rd observations

= \frac{a+b}{2}

Range = x - 10

From the given information,

Mean = Median = Range

Therefore,

\frac{10+a+b+x}{4} =\frac{a+b}{2} =x - 10

From the first two ratios,

10 + a + b + x = 2a + 2b

or,

a + b = 10 + x        --- (1)

From the last two ratios,

a + b = 2x - 20      --- (2)

From (1) and (2),

10 + x = 2x - 20

10 + 20 = 2x - x

x = 30

Hence, the greatest value = 30


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Answer:

f(x) = x*3/4 + 42.5

Step-by-step explanation:

The original difference between the pair is 70 - 30 = 40

The new difference between the pair is 95 - 65 = 30

Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4

Then 30 * 3/4 = 22.5

Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95

Therefore, f(x) = x*3/4 + 42.5. We can test that

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f(70) = 70*3/4 + 42.5 = 95

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2 years ago
Can someone please help explain 3/24 = 33/?
sweet [91]

Answer:

264

Step-by-step explanation:

because 33 is 11 times 3 so you multiply the 24x11 equal 264

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2 years ago
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What is the solution of quadratic system of equations ?
kobusy [5.1K]

Answer:

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Step-by-step explanation:

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Answer:

please give me a brainless 0

Inequality :

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Step-by-step explanation:

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