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STALIN [3.7K]
2 years ago
8

The mean, median, and unique mode of the positive integers 3, 4, 5, 6, 6, 7, and xare all equal. What is the value of x

Mathematics
1 answer:
prisoha [69]2 years ago
5 0

Given :

Positive integers 3, 4, 5, 6, 6, 7, and x are all equal.

To Find :

The mean, median, and unique mode are all equal , find x.

Solution :

mean = \dfrac{3+4+5+6+6+7+x}{7}

Median is the middle number in sorted list.

So, median = 6

Also, mode is the number with highest frequency.

mode = 6

So,

mean = mode = median

\dfrac{31+x}{7}=6=6\\\\x = 11

Hence, this is the required solution.

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The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway
marysya [2.9K]

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

d =5

From the question, we have:

1\ unit = 6.4\ miles

So:

d =5 * 6.4\ miles

d =32\ miles

3 0
3 years ago
What is the rule? 100 cm 1 m, 250 cm ? M, 1500 cm ? M
kirza4 [7]
There are 100 cm(centimeters) in a m(meter).
So, to solve this, we divide 250 by 100. this gives us 2.5meters.
1500÷100=15meters
The rule is m=cm÷100.

4 0
3 years ago
Find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)
alexgriva [62]

Answer:

<u>3(x^3 + 5x)^2 - 4 </u>   (please mark brainliest)

Step-by-step explanation:

plug g equation into x values of f equation

f equation = 3(x)^2 - 4

                        ^g goes here

So....

3(x^3 + 5x)^2 - 4

       ^ g goes here

4 0
2 years ago
Read 2 more answers
I will give brainliest answer if right but this is due in 20 mins can i get a lil help here
s2008m [1.1K]

Answer:

False: The slope of AB is different than the slope of BC

Step-by-step explanation:

Slope of AB=2/3

Slope of BC=4/6=2/3

Both slopes are equal.

8 0
3 years ago
In which number is the value of the digit in the hundreds place one-tenth the value of the digit in the thousands place?
lutik1710 [3]

Answer:

A.

Step-by-step explanation:

I'm pretty sure that's right.

3 0
3 years ago
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