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Serga [27]
3 years ago
14

The number of geese at a city park in the year 2015 was 132. The population is declining by 3 geese every two years. The populat

ion expressed as a sequence is
Pn=132−3/2n
Find P10. What does this number represent?
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

Step-by-step explanation:

p10 would be 117 geese

132-3/2(10)

132-15

117

The number represents the population after 10 years

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Which number line can be used to find the distance between (-1, 2) and (-5, 2)
wariber [46]

Answer:

y = 2; distance is 4 units

Step-by-step explanation:

Line y = 2

Because the y- coordinate is the same, only horizontal movement from -1 to -5..

Which is 4 units

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3 years ago
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Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
RUDIKE [14]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

5 0
3 years ago
A vertical number line is given.
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The absolute value of the number plotted on the number line is; 0.5

<h3>How to find Absolute Value?</h3>

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line

Thus, if 0.5 is marked on the number line, from the given options, we can say that if we apply the definition above that |0.5| = 0.5

Read more about Absolute Value at; brainly.com/question/24368848

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The ratio of oranges to apples in Helen's basket is 4:3. The basket has 12 apples in it. How many oranges are in the basket?
frez [133]

Answer:

16 oranges

Step-by-step explanation:

The ratio of oranges to apples is 4:3 which means that for every four oranges, there are 3 apples.

Since there are 12 apples in the basket, to find the number of oranges, set up a ratio.

4/3 = x/12 (x represents the number of oranges)

Cross multiply.

48 = 3x

Divide by 3.

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There are 16 oranges in the basket.

Hope that helps.

3 0
3 years ago
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