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mr Goodwill [35]
3 years ago
10

WHY CAN'T ANYONE HELP ME PLEASE?? The Pool Fun Company has learned​ that, by pricing a newly released Fun Noodle at $3, sales wi

ll reach 8000 Fun Noodles per day during the summer. Raising the price to $6 will cause the sales to fall to 5000 Fun Noodles per day. a. Assume that the relationship between sales​ price, x, and number of Fun Noodles​ sold, ​ y, is linear. Write an equation in​ slope-intercept form describing this relationship. Use ordered pairs of the form​ (sales price, number​ sold).
Mathematics
1 answer:
Zinaida [17]3 years ago
6 0

Answer:

  y = -1000x +11000

Step-by-step explanation:

<u>Given:</u>

  (x, y) = (sales price, number sold) = (3, 8000), (6, 5000)

<u>Find</u>:

  slope-intercept equation for a line through these points

<u>Solution</u>:

When given two points, it often works well to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Filling in the given points, you have ...

  y = (5000 -8000)/(6 -3)/(x -3) +8000

  y = (-3000/3)(x -3) +8000

  y = -1000x +3000 +8000 . . . . eliminate parentheses

  y = -1000x +11000 . . . . the desired equation

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Calculate volume of hemisphere with radius 3.2 cm
Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³

the volume of a hemisphere is half the volume of a sphere, so

V = \frac{1}{2} × \frac{4}{3} πr³ = \frac{2}{3} πr³ , then

V = \frac{2}{3} π × 3.2³

  = \frac{2}{3} π × 32.768

  ≈ 68.63 cm³ ( to 2 dec. places )

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2 years ago
Bloom works for 7.5 hours a day how much money would he make if he made $15.76 per hour
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What is the slope and y-intercept of the liner function y = -2/3x+3?​
IrinaVladis [17]

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There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree
GrogVix [38]

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

Find the height of the tree

Let

h ----> the height of the tree

we know that

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so

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7 0
3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Us
grigory [225]

Answer:

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

Step-by-step explanation:

Previous concepts

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".  

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".

\bar X represent the sample mean  

\mu population mean (variable of interest)  

\sigma represent the population standard deviation  

n represent the sample size  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma)

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

For this case the confidence interval is given by (62.532, 76.478)[/tex]

And we can calculate the mean with this:

\bar X = \frac{62.532+76.478}{2}= 69.505

So then the mean for this case is 69.505

5 0
3 years ago
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