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4 years ago

For which equation is (3, 5) a solution?

Mathematics

1 answer:

goblinko [34]4 years ago

4 0

Answer:

y = 3x - 4

Step-by-step explanation:

plug in the x-value (3) and the y-value (5) into the equation.

5 = 3(3) - 4

5 = 9 - 4

5 = 5

since both sides are equal, (3, 5) is a solution for the equation y = 3x - 4.

i hope this helps! have a great rest of your day <3

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Laundry detergent boxes are filled according to an approximately Normal distribution with mean 34.15 ounces and standard deviati

Leno4ka [110]

Using the normal distribution, it is found that there is a 0.0668 = 6.68% probability a randomly selected box has less than the 34 ounces of advertised weight.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 34.15, \sigma = 0.1$ .

The probability a randomly selected box has less than the 34 ounces of advertised weight is the p-value of Z when X = 34, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34 - 34.15}{0.1}$

Z = -1.5

Z = -1.5 has a p-value of 0.0668.

0.0668 = 6.68% probability a randomly selected box has less than the 34 ounces of advertised weight.

More can be learned about the normal distribution at brainly.com/question/24537145

#SPJ1

7 0

2 years ago

Write the equation of the ellipse with the endpoints of the major axis (-11, 0) and (11, 0) and minor axis (0, -3) and (0, 3)

liberstina [14]

Answer:

x/121 + y/9 = 1

Step-by-step explanation:

The major axis is 22 units long, in a horizontal line, and the center is in the middle of the major axis line segment. The center is at the origin. The distance of the whole axis is 22, and its endpoints are 11 units from the center. The axis length is 2a = 22, so a = 11.

Becasue the major axis is horizontal, this ellipse is wider than it is tall.

The minor axis is perpendicular to the major axis and it always shoter (hence the name 'minor'). In this case, it is vertical, is 6 units long, so we say that 6 = 2b, and b = 3.

The ellipse center is (h,k). But in this case, the center is the origin, so h = 0 and k = 0.

The equation for a horizontal ellipse is (x-h)²/a² + (y-k)²/b² = 1, a>b

(x-0)²/11² + (y-0)²/3² = 1

*** x/121 + y/9 = 1

The equation for a vertical ellipse is (x-h)²/b² + (y-k)²/a² = 1, a>b

If the bigger denominator is under 'x' term the ellipse is horizontal, with the longer axis being horizontal.

If the bigger denominator is under the 'y' term, the ellipse is vertical, with the longer axis being vertical.

I'm including 2 files.

The 'brainly ellipse' is form this particular problem.

The 'General Ellipse Info' is a collection of my personal math notes on elleipses.

Hope this helps.

*** Let me try the 2nd attachment again as a PDF. You may not have MS Office 10.

5 0

3 years ago

A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates

agasfer [191]

Answer:

Im not entirely sure

Step-by-step explanation:

8 0

3 years ago

Find the coordinates of the circumcenter for triangleDEF with coordinates D(1,1) E(7,1) and F (1,5). Show your work.

PtichkaEL [24]

1. plot the points in the coordinate axis. Check the picture.

2. The circumcenter of a triangle is the center of the circumscribed triangle.

3. To find the circumcenter we draw the perpendicular bisector of each side, that is the line segments which are perpendicular to the sides, and divide each ith them in 2 equal parts.

4. Since all 3 perpendicular bisectors meet at the circumcenter, it is enough to draw 2 of them, as shown in the picture.

5. with our construction, we find the center O(4, 3)

Another way to solve this problem is to notice than the triangle is a right triangle. The circumcircle of a right triangle has the hypotenuse as a diameter. So it is enough to find the midpoint of FE.

Answer: (4, 3)

4 0

3 years ago

Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which student’s work is correct and why?

Gekata [30.6K]

Grace is correct.

Chelsea has an error in the first step (it has to be 6 - 3x - 12x + 16 bc minus multiply by minus is positive)

Roan also has an error in the first step (has to be 6 - 3x - 12x + 16)

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4 years ago