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2 years ago

The value of a painting bought for $3,800 increases 2.6% each year. Use a graph to predict the value of the painting in 5 years.

Mathematics

1 answer:

Vinvika [58]2 years ago

5 0

The value of the painting in 5 years is $4,320.36

<h3>Expoential functions</h3>

The standard exponential function is expressed as:

A = P(1+r)^t

Given the following

P = $3800
r = 2.6% = 0.026
t = 5 years

Substitute into the formula

A = 3800(1+0.026)^5
A = 3800(1.026)^5
A = 4,320.36

Hence the value of the painting in 5 years is $4,320.36

Learn more on exponential function here: brainly.com/question/12940982

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HACTEHA [7]

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So, (2x-5) + (x+5) = 180

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Also, because the two lines are parallel m_6 = m_3 by alternate interior angles.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting

s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

12 resistors, which means that $N = 12$

3 defective, which means that $k = 3$

4 are selected, which means that $n = 4$

To find an specific probability, that is, of x defectives:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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3 years ago

What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

Snezhnost [94]

Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

a) Colors of phone cover - quantitative

b) Weight of different phones - quantitative

c) Types of dogs - categorical

d) Temperatures in the U.S. cities - quantitative

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3 years ago

GOOD REVIEW IF BOTH OF THE ANSWERS ARE CORRECT

Over [174]

Answer for 1:

I don't know the actual answer, but for Forms, you can press ctrl + U and find the answers in the code

Answer for 2:

x = 28

Step-by-step explanation:

Since the overall angle is 90°, and we already have 33, we subtract 33 from 90

90 - 33 = 57

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So the answer is x = 28

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3 years ago