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FromTheMoon [43]
3 years ago
15

If the population of a town grew 21% up to 15,049, what was the population last year?

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
15,049 x .21 = 3,160
subtract: 15,049 - 3,160 = 11, 888
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What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25
VLD [36.1K]

The n-th term is given by

a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}

Then we can find the common ratio from the given terms.

\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1

The appropriate choice is -1.

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4 years ago
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The answer would be D.
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otez555 [7]

Answer:

Yes

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Since the same value, x, is being added to both numbers they are subtracting the answer won't be changed.

178-135=43

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180-137=43

5 0
4 years ago
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g. a second stage smog device has been installed on 50 different industry firms in los angeles. an inspector plans to visit 10 r
Alborosie

The probability that 5 or less of the inspected firms that will result smog volation is 0.944.

Given that among 50 different industrial firms, 15 violate smog regulations and the sample size be 10.

We are required to find the probability that 5 or less of the inspected firms that will result smog violation.

Probability is basically the calculation of likeliness of happening an event among all the events possible. It lies between 0 and 1.

Probability=Number of items/ Total items.

Probability that the firm violates the regulations if 1 industry is chosen from 50 industrial firms=15/50=0.3

Probability that 5 or less of the inspected firms will result somg violations among 10 industrial firms=10C_{0}(0.3)^{0} (0.7)^{10}+  10C_{1}(0.3)^{1} (0.7)^{9}+10C_{2}(0.3)^{2} (0.7)^{7}+10C_{3}(0.3)^{3} (0.7)^{7}+10C_{4}(0.3)^{4} (0.7)^{6}+10C_{5}(0.3)^{5} (0.7)^{5}

=0.028+10*0.3*0.04+45*0.09*0.057+120*0.027*0.082+

210*0.0081*0.117+252*0.00243*0.16807

=0.028+0.12+0.23+0.265+0.199+0.102

=0.944

Hence the probability that 5 or less of the inspected firms that will result smog volation is 0.944.

Learn more about probability at brainly.com/question/24756209

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7 0
2 years ago
Simplify fully<br> 6x2 +x–1 4x2 – 1
AlexFokin [52]

Answer:

​3x−1

Step-by-step explanation:

1 Split the second term in 6{x}^{2}+x-16x

​2

​​ +x−1 into two terms.

\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​6x

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​​  

2 Factor out common terms in the first two terms, then in the last two terms.

\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​3x(2x+1)−(2x+1)

​​  

3 Factor out the common term 2x+12x+1.

\frac{(2x+1)(3x-1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​

​(2x+1)(3x−1)

​​  

4 Rewrite 4{x}^{2}-14x

​2

​​ −1 in the form {a}^{2}-{b}^{2}a

​2

​​ −b

​2

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\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}

​(2x)

​2

​​ −1

​2

​​  

​

​(2x+1)(3x−1)

​​  

5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a

​2

​​ −b

​2

​​ =(a+b)(a−b).

\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}

​(2x+1)(2x−1)

​

​(2x+1)(3x−1)

​​  

6 Cancel 2x+12x+1.

\frac{3x-1}{2x-1}

​2x−1

​

​3x−1

​​  

8 0
3 years ago
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