-10x^2-4x+2=0 real number solutions

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is kno

Ket [755]

Answer:

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5 ml

Standard Deviation, σ = 0.4 ml

We are given that the distribution of amount of dye dispensed is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(paint cans contain less than 5.54 ml of the dye)

$P( x < 5.54) = P( z < \displaystyle\frac{5.54 - 5}{0.4}) = P(z < 1.35)$

Calculation the value from standard normal z table, we have,

$P(x < 5.54) =0.9115 = 91.15\%$

0.9115 is the proportion of paint cans that contain less than 5.54 ml of the dye.

5 0

2 years ago

Please help me with this question! Will give brainliest!

MissTica

Answer:

D) 2/3 x - 8

E) -4x + 11

Step-by-step explanation:

y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.

A has a bottom limit

B has a bottom limit

C has a top limit

4 0

2 years ago

Julia is allowed to watch no more than 5 hours of television a week. So far this week, she has watched 1.5 hours. Write and solv

mojhsa [17]

Answer:

The inequality to show how many hours of television Julia can still watch this week can be given as:

⇒ $x+1.5\leq 5$

where $x$ represents he number of hours of television that Julia can still watch this week

On solving for $x$ , we get

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

Step-by-step explanation:

Given:

Julia is allowed to watch television no more than 5 hours a week.

She has already watched 1.5 hours

To write and solve an inequality to show how many hours of television Julia can still watch this week.

Solution:

Let the number of hours of television that Julia can still watch this week be = $x$

Number of hours already watched = 1.5

Total number of hours of watching television this week would be given as:

⇒ $x+1.5$

It is given that Julia is allowed to watch no more than 5 hours of television in a week.

Thus, the inequality can be given as:

⇒ $x+1.5\leq 5$

Solving for $x$

Subtracting both sides by 1.5

$x+1.5-1.5\leq 5-1.5$

$x\leq3.5$

Thus, Julia can still watch no more than 3.5 hours of television this week.

6 0

3 years ago

If f=ma, what is the value of f when m=5 and a=3?

Feliz [49]

The answer is: 15 .
__________________________ _____
{Note: If this is a physics problem ; and the formula: "F = m*a" is for:
"Force = mass * acceleration" ; be sure that the correct units are used!}.
_______________________________________________________
Explanation:
_______________________________
F = m * a ;

Given m = 5 ;

a = 3 ;
___________________
F = 5 * 3 = 15 .
_____________________

3 0

3 years ago

Here's a graph of a linear function. Write the

madam [21]

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\$

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

$\rm m =\dfrac{3-0}{0-(-6)}\\$

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

5 0

2 years ago