All categories

4 years ago

PLEASE HELP!!

Mathematics

1 answer:

vesna_86 [32]4 years ago

4 0

Answer:

k=-3

x=63

Step-by-step explanation:

The equation for direct variation is

y = kx where k is the constant of variation

We know x and y we can solve for k

-87 = k*29

Divide each side by 29

-87/29 = k

-3 =k

y= -3x

Now we know y = -189, we can find x

-189 = -3x

Divide by -3

-189/-3 = -3x/-3

63 =x

You might be interested in

According to the World Health Organization (WHO) Child Growth Standards, the head circumference for boys at birth is normally di

Elena L [17]

Answer:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

Step-by-step explanation:

We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

$X\sim N(\mu = 34.5, \sigma=1.3)$

Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

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

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

And for the case of Sue we got:

$z = \frac{32.7-33.9}{1.2}= -1$

So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

5 0

3 years ago

A ticket for a seat at a village parish play costs £3.95 There are 17 rows of seats. There are 29 seats in each row. The village

Tcecarenko [31]

Answer:

Total money earned = £1,947.35

Step-by-step explanation:

Given:

Per ticket cost = £3.95

Number of rows = 17

Number of seats in each row = 29 seats

Find:

Total money earned.

Computation:

Total number of seats = Number of rows × Number of seats in each row

Total number of seats = 17 × 29

Total number of seats = 493 seats

Total money earned = Total number of seats × Per ticket cost

Total money earned = 493 × £3.95

Total money earned = £1,947.35

5 0

3 years ago

Ron measured his garden to be 12‘ x 8 1/3‘. He plant vegetables in 3/4 of his garden. What is the area of his vegetable garden?

liubo4ka [24]

Answer:

4/4

Step-by-step explanation:

Hope this helped have an amazing day!

6 0

3 years ago

The mass of earth is 5.97 X 10^24 kilograms. The mass of the moon is 7.34 X 10^22 kilograms. What is the combined mass of earth

Juliette [100K]

Just need to convert the mass of moon in terms of 10^24. So shift over 2 decimal places.

5.97 x 10^24 + 0.0734 x 10^24 = 6.04 x10^24

3 0

3 years ago

What happens in the inequality when we multiply or divide by a negative number?

m_a_m_a [10]

Answer:

The inequality flips.

It can go from

> to <

and vice versa

6 0

3 years ago