MATHEMATICS COLLEGE

Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?

Answers

Answer 1

Answer:

Answer:

There are 1600 residents.

Step-by-step explanation:

0.2 times x = 320 divide by 0.2

x = 1600

Answer 2

Answer:

Answer:

Step-by-step explanation:

I think. hope this hepls

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How do you calculate the approximate mean monthly salary of 100 graduatesmonthly salary number of graduate

1001-1400 1
1401-1800 11
1801-2200 14
2201-2600 38
2601 3000 36.

Answers

Answer:

The mean monthly salary of these 100 graduates is $2388.5

Step-by-step explanation:

First, lets make all of the salaries a set, so:

S = {S1,S2,S3,S4,S5}

where

S1 = {1001-1400}

S2 = {1401-1800}

S3 = {1801-2200}

S4 = {2201-2600}

S5 = {2601-3000}

Each element S1,S2,..,S5 will have it's own mean, that will be the upper range + lower range divided by 2.

M(S1) = (1400+1001)/2 = 2401/2 = 1200.5

M(S2) = (1401+1800)/2 = 3201/2 = 1600.5

M(S3) = (1801+2200)/2 = 4001/2 = 2000.5

M(S4) = (2201+2600)/2 = 4801/2 = 2400.5

M(S5) = (2601+3000)/2 = 5601/2 = 2800.5

To find the approximate mean, now we calculate a weigthed mean between M(S1),M(S2),...,M(S5)

So the mean will be

M = (M(S1)+11*M(S2)+14*M(S3)+38*M(S4)+36*M(S5))/100

M = 238850/100

M = 2388.5

So the mean monthly salary of these 100 graduates is $2388.5

Simplify 5/6i please help

Answers

Answer:

5/6 can´t be simplified

Step-by-step explanation:

Answer:

5i/6

Step-by-step explanation:

$(5)/(6)i\n\n\mathrm{Multiply\:fractions}:\quad \:a\cdot (b)/(c)=(a\:\cdot \:b)/(c)\n=(5i)/(6)$

Suppose coffee is initially brewed at 205 F and the room temperature is 70 F. Determine the value of kk if the temperature of the coffee drops from 205 F to 200 F in the first two minutes after brewing. Round answer to 4 decimal places.

Answers

Answer:

0.0189

Step-by-step explanation:

We solve for this using Newton's Law of cooling.

The formula for Newton's Law of cooling =

T −Ts = (To−Ts)e^-kt

T = Temperature after cooling

To = Initial temperature

Ts = Room temperature

k = constant

t = time = 2 mins

(200 - 70) = (205 - 70)e^-2k

130 = 135e^-2t

e^-2k= 130/135

k = In(130/135)/-2

k = 0.018870164

Approximately to 4 decimal places = 0.0189

Therefore, the value of k = 0.0189

Which expression is equivalent to 10q^5w^7/2w^3•4(q^6)^2/w^-5

Answers

The expression is equivalent to 20q^17w^19.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

10q^5w^7/2w^3•4(q^6)^2/w^-5

Now,

To simplify the expression, we can use the following rules of exponents:

To multiply two powers with the same base, add their exponents

$(10q^5w^7)/(2w^3) * (4(q^6)^2)/(w^(-5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12))/((1)/(w^5))$$$$= (10q^5w^7)/(2w^3) * (4q^(12)w^5)/(1)$$$$= (10 * 4 q^5 q^(12) w^7 w^5)/(2 w^3)$$$$= (40 q^(17) w^(12))/(2 w^3)$$$$= 20 q^(17) w^(9)$

Therefore, by the expression the answer will be 20q^17w^19.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

20q^17 w^9

Brainliest?

Read the statement shown below.If Amelia finishes her homework, then she will go to the park.

Which of these is logically equivalent to the given statement? (1 point)

1. If Amelia did not go to the park, then she did not finish her homework.
2. If Amelia did not finish her homework, then she will go to the park.
3. If Amelia goes to the park, then she did not finish her homework.
4. If Amelia finishes her homework, then she cannot go to the park.

Answers

Hello there.

In this problem, we can use our intuition of logic, but I will show a proof of the result in a truth table later. Then, let's get started!

Given:

→ Amelia finishes the homework (sentence H, can be True or False)

→ Amelia goes to the park (P, true or false)

Then, we have: If H, then P. Logically:

H ⇒ P

Then we can think: everytime she does the homework, she goes to the park. Therefore, if she did not go to the park, she will not have finished the homework (It is an equivalent sentence).

Alternative 1.

==========

Now, let's prove that (H ⇒P) is equivalent to (¬P ⇒ ¬H), via the truth table:

H P ¬H ¬P (H ⇒ P) (¬P ⇒ ¬H)

T T F F T T

T F F T F F

F T T F T T

F F T T T T

As we can see, the results are identical, therefore, the sentences are indeed equivalent.

I hope it hepls :)

Number 1 is the same thing but told differently.

Using a ruler, you measure the length of a rectangle to be 12.75 cm and the width to be 3.64 cm. Calculate the area of this rectangle (show work), reporting your answer to the correct number of significant figures.