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3 years ago

15

1 Harry Potter but cost $20. To purchase the whole set of seven books it would take 6 times as much. How much would it cost to b

uy a set of Harry Potter books?

2 answers:

svlad2 [7]3 years ago

7 0

Answer:

$120

Step-by-step explanation:

barxatty [35]3 years ago

6 0

Answer:

it would cost you $120 to buy a full set

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago

Rewrite the following in the form log(c)<br> log(6)−log(3)

Genrish500 [490]

<h3>Answer: log(2)</h3>

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

6 0

2 years ago

Read 2 more answers

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati

Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 263, \sigma = 14$

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

$Z = \frac{X - \mu}{\sigma}$

$0.675 = \frac{X - 263}{14}$

$X - 263 = 14*0.675$

$X = 272.45$

His jump was of 272.45 inches

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2 years ago

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Due tomorrow please help

NeX [460]

For some of these, a calculator is helpul.

The sum is 294903.

_____
This is the sum of 15 terms of a geometric sequence with first term 9 and common ratio 2. That sum is given by the formula
$S_{n}=a\dfrac{r^{n}-1}{r-1}$
$S_{15}=9\dfrac{2^{15}-1}{2-1}=9\cdot(32768-1)=294903$

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3 years ago

If you were asked to solve a system of linear equations using the substitution method, in what form would one or both of the equ

elena55 [62]

Answer:

It'd be easist if one of the variables was by itself

Step-by-step explanation:

I.E: y=2x+4 and 2y+x=23

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3 years ago

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