All categories

2 years ago

Please help me. I am stuck.

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

C is greater than or equal to $40 (which means put the > sign with a line under it).

You might be interested in

the population of a town grows at the rate of 3 percent each year in 2010, the town had a population of 250000. what is the popu

Ulleksa [173]

Answer:

335,979 people (in Year 2020)

Step-by-step explanation:

Initial Population (Year 2010) = 250,000

Rate of Growth = 3% = 3/100 = 0.03

We want the population of the town in Year 2020 (at this rate). That is 10 years from now.

The formula for compound growth is:

$F=P(1+r)^t$

Where

F is the future value (in year 2020)

P is the present value (250,000)

r is the rate of increase per year (0.03)

t is the time in years (t = 10)

Lets substitute and find the value:

$F=P(1+r)^t\\F=250,000(1+0.03)^{10}\\F=250,000(1.03)^{10}\\F=335979.09$

Rounded, that would be:

335,979 people (in Year 2020)

4 0

3 years ago

Y = x/3 - 4<br> Change this equation into y=mx+b form

dusya [7]

Y=3x+4 beacause the slope is m and b is the y-intercept

5 0

3 years ago

Read 2 more answers

Which ordered pair is a solution to this system of equations?y = x2 – 3x + 3 y = 3x – 6

RSB [31]

Assuming the first term in the first equation is actually x^2, then the ordered pair is C. (3, 3).

8 0

3 years ago

A professor has learned that three students in his class of 20 will cheat on the final exam. He decides to focus his attention o

balu736 [363]

Answer:

$P(X \ge 1) = 0.509$

$P(X \ge 1) = 0.6807$

Step-by-step explanation:

From the question we are told that

The number of students in the class is N = 20 (This is the population )

The number of student that will cheat is k = 3

The number of students that he is focused on is n = 4

Generally the probability distribution that defines this question is the Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally probability mass function is mathematically represented as

$P(X = x) = \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}$

Here C stands for combination , hence we will be making use of the combination functionality in our calculators

Generally the that he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

Here

$P(X \le 0) = \frac{ ^{3} C_0 * ^{20 - 3} C_{4- 0}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ ^{3} C_0 * ^{17} C_{4}}{ ^{20}C_4}$

$P(X \le 0) = \frac{ 1 * 2380}{ 4845}$

$P(X \le 0) = 0.491$

Hence

$P(X \ge 1) = 1 - 0.491$

$P(X \ge 1) = 0.509$

Generally the that he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

$P(X \ge 1) = 1 - P(X \le 0)$

$P(X \ge 1) =1- [ \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}]$