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Sonja [21]
3 years ago
6

n 1990, a music store sold 250 CDs per day. In 1995, they sold 175 CDs per day. Assuming a linear relationship, how many CDs did

the store sell per day in 2000?
Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

100 CD's

Step-by-step explanation:

250-175 is 75. and if yu subtract 175 by 75, you get 100. so 100 CD's

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Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

3 0
2 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
garri49 [273]

Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of \mu = 3.5.
  • The standard deviation is of \sigma = 0.5.
  • Sample of 100, hence n = 100, s = \frac{0.5}{\sqrt{100}} = 0.05

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:

Z = -2:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-2 = \frac{X - 3.5}{0.05}

X - 3.5 = -0.1

X = 3.4

Z = 2:

Z = \frac{X - \mu}{s}

2 = \frac{X - 3.5}{0.05}

X - 3.5 = 0.1

X = 3.6

The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
2. Deshay borrowed $400 from the bank for 1 year. The bank charges 14% interest
Papessa [141]

Answer:

The bank charged 56 dollars in interest

7 0
3 years ago
Round 30.410 to nearest hundreth
Oksana_A [137]
The answer to this is 30.41 due to the zero the answer cannot be moved on so it will stay the same. 
4 0
3 years ago
Read 2 more answers
In a certain residential suburb, 60% of all households get Internet service from the local cable company, 80% get television ser
Serggg [28]

Answer:

a) 0.900

b) 0.400

Step-by-step explanation:

Let I = households getting internet

T = households getting television

Then I = 60%

and T = 80%

I\cap T = 50\% (Households that get both services)

a) Households getting at least one service, I\cup T = I + T - I\cap T= 60+80-50 =90\%=0.900

b) Those getting internet only = I - I\cap T = 60 - 50 = 10\% = 0.1

Those getting television only = T - I\cap T = 80- 50=30\%=0.3

Probability of getting exactly one service = 0.1 + 0.3 = 0.400

6 0
3 years ago
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