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guapka [62]
3 years ago
9

A town's population went from 24,528 to 23,221. What is the percent decrease in the town's population? (Round to the nearest who

le percent)
Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

Answer:

  5% decrease

Step-by-step explanation:

A percentage change can be calculated using the formula ...

  percentage change = ((new value)/(old value) -1) × 100%

Using the given population values, we can find the change to be ...

  percent change = (23221/24528 -1) × 100% = (0.947 -1) × 100%

  = -5.3% . . . . . a negative change indicates a decrease

The percentage decrease in the town's population is 5%.

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8 numbers have a sum of 90. Whats the average number?
ehidna [41]

Answer:

\huge\boxed{11.25}

Step-by-step explanation:

When finding the average of a set of numbers, we

  • A) Add up all the numbers
  • B) Divide that sum by the total number of numbers in the data set

Let's represent this with a formula, s being the sum of all numbers, n being the total number of numbers.

\frac{s}{n}

Since we <u>already know the sum</u> and we <u>know how many numbers there are</u> (8), we can substitute inside our expression \frac{s}{n} to find the average.

  • \frac{90}{8}
  • 11.25

Therefore, the average of all these numbers is 11.25.

Hope this helped!

4 0
3 years ago
what is 7.5 x 10 to the negative 3rd power + 5.8 x 10 to the negative 3rd power in scientific notation
Nastasia [14]
The answer is 1.33*10^-3, or 0.0133.
6 0
3 years ago
John went to a friend’s house to spend his free time in an evening. Which unit of measure should be used to find the distance be
asambeis [7]

Answer:

miles

Step-by-step explanation:

4 0
3 years ago
Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar
bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\

A. P(x=6)

P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\

B. P(x≥10)

P(x\geq10)=1-P(x

P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\

P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\

P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17

4 0
3 years ago
Solve <br> 5x+y=-17 8x-3y=-18
Olenka [21]

Answer:

x = -3

y = -2

Step-by-step explanation:

6 0
3 years ago
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