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Oduvanchick [21]
3 years ago
8

A population of 3000 people doubles in size every 10 years. Determine the population after 50 years.

Mathematics
1 answer:
RUDIKE [14]3 years ago
7 0

Answer:

In 50 years Population is 96000 people.

Step-by-step explanation:

Let population be x

In the first 10 years

Population becomes 2x

In 20 years it becomes 4x

In 10n years it becomes 2^n x

Therefore

for n= 5

x = 3000

Population is 2⁵ (3000)

= 32(3000)

= 96000

Population becomes 96000

Hope it helps...

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The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

H_{0}: p = 0.113\\H_A: p > 0.113

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0
3 years ago
My question is this like I’m super stuck
lora16 [44]
You will want to divide the shape up into different parts to solve this. For example, first I would take the top rectangle (24x5=120) and add the answer of that to the rectangle in the middle section (120+(11x10)=230). Then, I would add the very last rectangle at the very bottom of the total we have so far (230+(7x3)=251). Lastly, I would take the semi-circle and find its area ((3.14x2)^2)/2=19.7192). Then, add all of the totals together and get your answer of 

= 250.7192km^2

*note, only put the number of decimals needed.

Thanks :)
3 0
3 years ago
Can y + 8 can be translated as the quotient a number and eight
defon
Not the correct answer 
I tried my best
8 0
3 years ago
Answer the Question the volume based Question. I will make uh brainliest + 50 points​
Dimas [21]
<h3><u>Part A</u></h3>

To show the total capacity of container B is 132 cm³

volume = unit rate × time taken

volume = 6 cm³ × 22

volume = 132 cm³ ∴ Hence proved.

<h3 /><h3><u>Find radius</u></h3>

\sf volume \ of \ cone = \dfrac{1}{3} \pi r^2 h

===================

\rightarrow \sf \dfrac{1}{3} * \dfrac{22}{7}  * r^2 * 14 = 132

<em>simplify</em>

\rightarrow \sf  \dfrac{44}{3}  * r^2= 132

<em>change sides</em>

\rightarrow \sf r^2= \dfrac{132(3)}{44} = 9

<em>square root both sides</em>

\rightarrow \sf r = 3

∴ Hence the radius of cone (Shape B is 3 cm)

<h3><u>To show the time taken</u></h3>

volume = unit rate × time taken

\sf volume  \ of \ hemi -sphere = \dfrac{2}{3} \pi r^3

=========================

\sf \rightarrow  \dfrac{2}{3} \pi r^3 = 6 * time  \ taken

<em>Insert values</em>

\sf \rightarrow  \dfrac{2}{3} *\dfrac{22}{7}  \  r^3 = 6 * time  \ taken

<em>exchange sides</em>

\sf \rightarrow   time  \ taken =  \dfrac{2}{3} *\dfrac{22}{7}  \  r^3 *\dfrac{1}{6}

<em>simplify following</em>

\sf \rightarrow   time  \ taken =  \dfrac{22}{63}r^3

4 0
2 years ago
What is the nth term of each linear pattern?
Lemur [1.5K]
A) 2.0+3.4n

b)90-5n

c)33 1/2+5n
4 0
3 years ago
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