Find the value of x such that the data set has the given mean. 31.7, 42.8, 26.4 x: mean 35

Mathematics

1 answer:

il63 [147K]2 years ago

4 0

Answer:

x = 39.1

Step-by-step explanation:

<u>Points to remember</u>

Mean of a data set is given by

Mean = (sum of data set)/Total number of data

<u>To find the value of x</u>

It is given a data set

31.7, 42.8, 26.4, x

Mean = 35

Sum of data set = 31.7 + 42.8 + 26.4 + x = 100.9 + x

(100.9 + x)/4 = 35

100.9 + x = 35 * 4 = 140

x = 140 - 100.9 = 39.1

Therefore x = 39.1

You might be interested in

A person wishes to mix coffee worth nine dollars per pound with coffee worth three dollars per pound to get 240 pounds of a mixt

Anastasy [175]

$\bf \begin{array}{lccclll}
&amount&price&priced\ amount\\
&-----&-----&--------\\
\textit{9 bucks/lb}&x&9&9x\\
\textit{3 bucks/lb}&y&3&3y\\
-----&-----&-----&-------\\
mixture&240&5&1200
\end{array}
\\\\\\
\begin{cases}
x+y=240\implies \boxed{y}=240-x\\
9x+3y=1200\\
----------\\
9x+3\left( \boxed{240-x} \right)=1200
\end{cases}$

solve for "x".

what about "y"? well, y = 240 - x

4 0

3 years ago

If ∠A > ∠B, then what is the relation between AC and BC?<br>

prohojiy [21]

Answer:

ab and ac are congruent with each other

8 0

2 years ago

Read 2 more answers

Write an equation of the line that passes through a pair of points (-5, -2), (4, 5)

PIT_PIT [208]

To find the equation of a line knowing two points it passes through, we must first find the slope and then substitute the x and y values to figure out the y intercept.

First thing is to find the slope using the formula m = Δy ÷ Δx
m = 5 - (-2) ÷ 4 - (-5)

Now we simplify
m = 7 ÷ 9

Our equation so far is y = 7/9x + b. Now we can substitute the values of x and y from a point to figure out the answer. The equation here uses the point (4,5)

5 = 7/9 · 4 + b

Get b on one side
5 - 28/9 = b

Simplify
b = 1 + 8/9

That makes the equation of the line y = 7/9x + (1 + 8/9)

8 0

3 years ago

Read 2 more answers

Is 6/5 closer to 1/2

Alecsey [184]

$\frac{6}{5} =\quad 1.2$