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2 years ago

Each year, a daylily farm sells a portion of their daylilies and allows a portion to grow and divide. The recursive formula

Mathematics

1 answer:

nikitadnepr [17]2 years ago

7 0

Answer:

600

Step-by-step explanation:

We can solve the recursive formula for the previous term in terms of the present one:

a[n-1] = (a[n] +100)/1.5

Working backward, we find ...

a[4] = (a[5] +100)/1.5 = (2225 +100)/1.5 = 1550

a[3] = (1550 +100)/1.5 = 1100

a[2] = (1100 +100)/1.5 = 800

a[1] = (800 +100)/1.5 = 600

There were 600 daylilies on the farm after the first year.

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9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score$

Given that:

$\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67$

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0

2 years ago

Alexxx [7]

Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

x + y = 3 → (1)

2x - y = 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

3x = 9 ( divide both sides by 3 )

x = 3

4 0

2 years ago

Combine as indicated by the signs. 4/ y^2-9 + 5/y+3

natka813 [3]

$\frac{4}{y^{2}-9 } + \frac{5}{y+3} = \frac{4}{(y-3)(y+3) } + \frac{5}{y+3}= \frac{4}{(y-3)(y+3) } + \frac{5(y-3)}{(y-3)(y+3)}=
\\ \\=\frac{4}{(y-3)(y+3) } + \frac{5y-15}{(y-3)(y+3)}= \frac{5y-11}{(y-3)(y+3)}=\frac{5y-11}{y^{2}-9}
$

8 0

3 years ago

The temperature, t, in Burrtown starts at 21°F at midnight, when h = 0. For the next few hours, the temperature drops 4 degrees

sweet-ann [11.9K]

In this case the temperature depends on the hour. So temperature is your X and hour is your Y variable. When h=0, x=0. So the 21*C is you x=0 or y-int point.

If we are trying to match the equation for a line of y=mx+b, 21*C=b.

Our rate of change is -4*C/h, which is our m variable.

So y=(-4)x+(21)

OR in this case, t=-4h+21.

Answer D.

6 0

2 years ago

Read 2 more answers

Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair

Leto [7]

Answer:

Step-by-step explanation:

because it's unequal

3 0

2 years ago