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2 years ago

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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3/4x+5−1/2x=3 what is the value of x?

dimaraw [331]

Answer:

-1/8 is the answer

Step-by-step explanation:

1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.

2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.

3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.

4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.

7 0

2 years ago

Which equation has the solution x = 2?

romanna [79]

Answer:

$3x + 2 = 8 \\ 3x = 6 \\ x = \frac{6}{ 3} \\ x = 2$

3 0

2 years ago

Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

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

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

2 years ago

Helpppooooooopppppppp plssss

Leokris [45]

Answer:

boys + girls = 45 -------(1)

There boys 17 more than girls, boys = girls + 17 ----------(2)

substitute (2) in (1)

girls + 17 + girls = 45

2 x girls + 17 = 45

2 x girls = 45 - 17

2 x girls = 28

girls = 14

substitute in (2): boys = girls + 17 = 14 + 17 = 31

option D

5 0

2 years ago

Read 2 more answers

PLEASE HELPPP!!! Which expression is equivalent to sum of quantity negative three and one third times n plus one sixth end quant

uranmaximum [27]

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The sum of capacity minus three and one-third times n plus one-sixth ended capacity + capacity one and three-sixths times n minus three-twelfths end quantity.

Let n be the number. Then the expression will be

⇒ -(3 1/3)n + 1/6 + (1 3/6)n - 3/12

Simplify the equation, then we have

⇒ -(3 1/3)n + 1/6 + (1 3/6)n - 3/12

⇒ -10/3 n + 3/2 n + 1/6 - 1/4

⇒ -11/6 n - 1/12

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

8 0

7 months ago