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2 years ago

X and y are in direct proportion, when x is 8, y is 12. Which of the following is not a

Mathematics

1 answer:

Nat2105 [25]2 years ago

8 0

Answer:

Step-by-step explanation:

if x varies directly as y,

x = ky

8 = 12k

12k = 8

k = 8/ 12

k = 2/3,

x = 2/3 y

now substitute the value of any of the numbers of each pair, and check if it works:

for e.g, find x when y = 15

x = 2/3y

x = 2/3 × 15

x = 10

since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .

ii) x = 2/3y

x = 2/3 × 3, when y = 3

x = 2

hence, this is also a possible pair of x and y values.

iii) x = 2/3y

x = 2/3 × 9 when y = 9

x = 6

again, a possible pair of x and y values.

iv) x = 2/3y

x = 2/3 × 20 when y = 20

x = 40/3

here, when y = 20, x is not 15. it is 40/3.

thus, it can be determined that this is not a possible pair of x and y values.

please try to understand and have a great day!

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PLEASE HELP ASAP A glass stand to display a doll is in the shape of a right triangular pyramid. The area of the base is 40.5 squ

Effectus [21]

Answer: $202.5\ in.^3$

Step-by-step explanation:

Given

The area of the base is $A=40.5\ in.^2$

height of the triangular prism is $h=15\ in.$

The volume of a triangular prism is $V=\dfrac{1}{3}Ah$

The volume of given Prism is

$V=\dfrac{1}{3}\times 40.5\times 15=202.5\ in.^3$

The volume of the triangular prism is $202.5\ in.^3$

8 0

2 years ago

Can someone please help

RoseWind [281]

it’s 9 sq feet
use A=b•h/2
the base length is 6
the height is 3
6•3= 18 then divided by 2 is 9

7 0

2 years ago

Read 2 more answers

Determine the slope

Delicious77 [7]

Answer:

1/3

Step-by-step explanation:

We use the formula y2-y1/x2-x1. The two points that I would use are (3,-1) and (-3,-3). This means that the equation will be -3--1/-3-3. This is equal to -2/-6. This is also equal to 1/3. Therefore, the slope is 1/3.

If this helps please mark as brainleist

4 0

3 years ago

A. Student GPAs: Bob’s z-score z = + 1.71 μ = 2.98 σ = 0.36 b. Weekly work hours: Sarah’s z-score z = + 1.18 μ = 21.6 σ = 7.1 c.

hjlf

Answer:

a) $x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

b) $x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

c) $x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

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".

Part a

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = 1.71, \mu = 2.98,\sigma = 0.36$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 2.98 + 1.71*0.36 = 3.5956$

Part b

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = 1.18, \mu = 21.6,\sigma = 7.1$

If we solve for x from the z score formula we got:

$x = \mu +z*\sigma$

And replacing we got:

$x= 21.6 + 1.18*7.1 = 29.978$

Part c

Let X the random variable of interest for this case. We define the z score with the following formula:

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

And for this case we know that $z = -1.35, \mu = 150,\sigma = 40$

If we solve for x from the z score formula we got:

$x = \mu -z*\sigma$

And replacing we got:

$x= 150 - 1.35*40= 96$

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2 years ago

Express y in terms of x.

enyata [817]

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Step-by-step explanation:

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2 years ago