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2 years ago

Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8

Mathematics

1 answer:

Monica [59]2 years ago

3 0

Answer:

Step-by-step explanation:

This is a joint variation problem:

z varies directly as x and y

Interpreting this;

z ∝ xy

Therefore;

z = kxy

z = 6, x = 2, y = 6

Now find k,

6 = 2 x 6 x k

6 = 12k

k = $\frac{1}{2}$

To find the value of z;

x = 3, y = 8

z = $\frac{1}{2}$ x 3 x 8 = 12

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xz_007 [3.2K]

Answer:

X | Y

2 | 7

4 | 9 <-- linear.

6 | 11

8 | 13

A linear function is when there is an even consonant decline or up-rise.

X | Y

1 | 2

2 | 4 <-- also linear.

3 | 6

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2 years ago

The thousand islands are located along the border between new york and canada. the adventure club wants to place a stone marker

Nikitich [7]

Using proportions, it is found that the number of islands that each member will have to visit is given by:

c. 19 islands.

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A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:

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1 year ago

Victoria can make 8 necklaces in 4 days. How long does it take her to make ond necklace?

irina1246 [14]

Answer:

$0.5\ days$

Step-by-step explanation:

we know that

Using proportion

$\frac{4}{8}\frac{days}{necklaces} =\frac{x}{1}\frac{days}{necklace} \\ \\x=4/8\\ \\x=0.5\ days$

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3 years ago

If this table is functional or non funtional

labwork [276]

Answer:

functional

Step-by-step explanation:

they all have equal input output ratio

plz mark brainliest

6 0

3 years ago

The times required for a delivery firm to transport a package from one business address to another in the same metropolitan area

gladu [14]

Answer:

Step-by-step explanation:

Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.

However;

Let use X to represent the time required for the delivery.

Then X~N(3.8 ,0.8)

i.e

E(x) = 3.8

s.d(x) = 0.8

NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)

= P(Z > 0.25)

= 1-P(Z < 0.25)

=1 - Φ (0.25)

= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )

= 0.4013

Thus; the probability a single delivery would take more than 4 hours is 0.4013

What is the z value corresponding to the interval boundary?

The z value is calculated as:

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{4- 3.8}{0.8}$

z = 0.25

3 0

2 years ago