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3 years ago

Identify the inverse variation and graph in which y = 0.75 when x = 4.

Mathematics

1 answer:

TiliK225 [7]3 years ago

7 0

Answer:

$y=3/x$ or $yx=3$

The graph in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

in this problem we have

y=0.75 when x=4

Find the value of k

$y*x=k$

$k=0.75*4=3$

The equation is equal to

$y=3/x$

using a graphing tool

see the attached figure

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What is the value of x6+y2 when x equals 1 and y equals 11

Kazeer [188]

Answer:

Step-by-step explanation:

x equals 1

y equals 11

you would plug the numbers in

(1)6 plus (11)2 which if you multiply them

6 plus 22 would give you 28

6 0

3 years ago

The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard

8_murik_8 [283]

Answer:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:

$X \sim N(47.5,3.5)$

Where $\mu=47.5$ and $\sigma=3.5$

We are interested on this probability

$P(45$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

5 0

3 years ago

If you were to roll the dice one time what is the probability it will land on a 3?

Korolek [52]

3/6 because there are six sides to a dice.

6 0

3 years ago

Read 2 more answers

An isosceles triangle has an angle that measures 92° which other angles could be in that isosceles triangle choose all that appl

nignag [31]

Answer:

Step-by-step explanation:

The two base angles cannot both be 92 degrees because they would add up to 184 which is more degrees than any triangle has. The apex angle (the top angle) therefore has 92 degrees.

The base angles are equal and found as follows.

2*b + 92 = 180 Subtract 92 from both sides

2b +92-92 = 180-92

2b = 88 divide by 2

2b/2=88/2

b = 44

The only angle measurement that fits is 44

6 0

3 years ago

Teh slope between two points is calculated by finding the change in y-values and dividing by the change in x-values. for example

Nimfa-mama [501]

Hi there!

The change of y-values is
- 15 - 22 = - 37
The change of x-values is
7 - - 8 = 7 + 8 = 15

Therefore, the slope of this line is
$\frac{ - 37}{15} = - 2 \frac{7}{15}$

4 0

3 years ago