The actual number of respondents corresponding to the given percentage is 57.
<h3>What do percentages mean?</h3>
Percentage is the fraction of an amount expressed as a number out of 100. The sign used to rerepresnt percentages is %. Percentages are a measure of frequency.
<h3>What is the number of respondents?</h3>
4.2% x 1372 = 57
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
20.58 inches
Step-by-step explanation:
As the variable x represents the number of times the figure is enlarged, to find the length of the image after it has been enlarged 3 times, we just need to use the function f(x) with the value of x = 3:
f(x) = 3 * (1.9)^x
f(3) = 3 * (1.9)^3
f(3) = 3 * 6.859
f(3) = 20.577 inches
Rounding to nearest hundredth, we have f(3) = 20.58 inches
So the length of the image after being enlarged 3 times is 20.58 inches


First of all to make our equation simpler, we'll equal

to a variable like 'a'.
So,

Now let's plug

's value (a) into the equation.

Now we turned our equation into a quadratic equation.
(The variable 'a' will have a solution set of two solutions, but 'x' , which is the variable of our first equation will have a solution set of four solutions since it is a quartic equation (<span>fourth-degree <span>equation) )
Let's solve for a.
The formula used to solve quadratic equations ;

The formula is used in an equation formed like this :
</span></span>

In our equation,
t=16 , b=-41 and c=25
Let's plug the values in the formula to solve.

So the solution set :

We found a's value.
Remember,

So after we found a's solution set, that means.

and

We'll also solve this equations to find x's solution set :)


So the values x has are :

,

,

and

Solution set :

I hope this was clear enough. If not please ask :)
Answer:
X
Step-by-step explanation:
to solve for X look at the model.
Multiply all terms by 2 to get rid of fractions
2x+10=28-x
Add x to both sides
3x+10=28
Subtract 10 from both sides
3x=18
Divide both sides by 3
x=6
Final answer: x=6