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3 years ago

Find the area of a regular hexagon

Mathematics

1 answer:

xxMikexx [17]3 years ago

4 0

<h2>Answer:</h2><h2>42 cm^2</h2>

please see the attached picture for full solution

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If you can buy 1⁄3 of a box of chocolates for 6 dollars, how much can you purchase for 4 dollars? Write your answer as a fractio

lisov135 [29]

You would get 4/18 or 2/9 of a box

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3 years ago

Let pn, n = 0,1,2,..., be the probability that an automobile policyholder will file for n claims in a five-year period. the actu

lara31 [8.8K]

P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16

You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3

But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4

P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16

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3 years ago

A researcher determines that the number of bacteria increase at a rate modeled by =25*2^x. What is the growth rate?

dolphi86 [110]

Answer:

100%

Step-by-step explanation:

An exponential equation with a growth rate can be expressed as: $f(x)=A(1+r)^x$ where r is a positive number, and represents the growth rate.

In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.

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2 years ago

Draw each pair of line?

jenyasd209 [6]

An x or a cross_____________

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4 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

1 year ago