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Strike441 [17]
3 years ago
13

Two times the difference of a number and 8 is equal to 7

Mathematics
1 answer:
maks197457 [2]3 years ago
5 0
2(x-8)=7

Distribute on the left side
2x-16=7

Add 16 to both sides
2x=23

Divide both sides by 2
x=11.5

Final answer: The number is 11.5
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Ronch [10]
11/16 it’s reduced, thank me later!
5 0
3 years ago
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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
tiny-mole [99]

Answer:

The population in 20 years will be 781.

Step-by-step explanation:

The population of the town can be modeled by the following equation:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate, as a decimal.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*P(0) = 625

We use this to find r.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 20 years

This is P(20)

P(20) = 500e^{0.0223*20} = 781

The population in 20 years will be 781.

8 0
4 years ago
6.1.3
Nata [24]

Answer:

The requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are <em>µ</em> = 0 and <em>σ</em> = 1.

Step-by-step explanation:

A normal-distribution is an accurate symmetric-distribution of experimental data-values.  

If we create a histogram on data-values that are normally distributed, the figure of columns form a symmetrical bell shape.  

If X \sim N (µ, σ²), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Thus, the requirements that are necessary for a normal probability distribution to be a standard normal probability distribution are <em>µ</em> = 0 and <em>σ</em> = 1.

8 0
3 years ago
I have one selected but I don't know if it's right? can someone tell me the right answer so I can understand what I did wrong?
kozerog [31]

Answer:

It's y = 3

Step-by-step explanation:

Reason why it's not x = 3 is because x is on the left to right or horizontal plane, therefore it would be y because y is on the vertical axis. If using x, it would be a vertical line on x while using y would create a horizontal line.

5 0
3 years ago
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Hanson has 38 pieces of candy. He gives away c of the pieces. Write an expression that
alexdok [17]

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

8 0
4 years ago
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