1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavlova-9 [17]
3 years ago
10

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

ly increases as the trees blossom. The locust population increases by a factor of 5 every 22 days, and can be modeled by a function, L, which depends on the amount of time, t (in days).
Before the first day of spring, there were 7600 locusts in the population.


Write a function that models the locust population t days since the first day of spring.
Mathematics
1 answer:
Anon25 [30]3 years ago
5 0

Answer:

y=7600(5^(t/22))

Step-by-step explanation:

This is going to be an exponential function as it grows rapidly.

This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.

x=t/22

a=7600

r=5

∴y=7600(5^(t/22))

You might be interested in
The radius of a circle is 19 kilometers. What is the circle's area?
Firdavs [7]
<h2> <em>Answer</em></h2>

<em>361</em><em>π</em><em>km²</em>

<h2> <em>Explanation</em></h2>

• the formula to find the area of a circle is A=πr²

<h3> => <em>A=π(19km)²</em></h3><h3><em>A=π(19km)² => A=361πkm</em>²</h3><h2><em>I</em><em> hope</em><em> it</em><em> helps</em><em>!</em><em>!</em></h2>

4 0
2 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
Andrea and her friends love cake. Andrea has two cakes. Each of her friends will eat 2/3 of a cake. How many friends can Andrea
Yanka [14]

Answer:

3

Step-by-step explanation:

the answer is three friends can eat cake

6 0
3 years ago
Read 2 more answers
In a year, there are 12 months. Seven months have 31 days. How many have 28 days? *​
Nataliya [291]

Answer:

ALLL OF THEM 12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which is true when you rent?
wolverine [178]
I say it's "You pay fewer up-front costs".

8 0
3 years ago
Read 2 more answers
Other questions:
  • True or false if a function y = f(x) satisfies dy/dx = y, then y = e^x
    5·1 answer
  • Geometry-9 1117 self test
    15·1 answer
  • David washed all 24 windows inches house. He washed 6 windows each morning and 2 windows each afternoon. How many days did it ta
    6·1 answer
  • Can somebody help please
    14·1 answer
  • Which one is proportional and which is not
    14·1 answer
  • Answer quick and accurately!
    8·2 answers
  • Use the distributive property to solve: 10(y-r) *
    13·1 answer
  • The dot plot shows the ages of quiz show contestants. pg617069 Suppose a new data value, 30, is included in the dot plot. Which
    12·2 answers
  • Help me please I need to get this right
    9·1 answer
  • What does the 12 and 5 represent?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!