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spin [16.1K]
3 years ago
8

Sara read 29 1/2 ​ pages in 2/3 ​ of an hour. At what rate, in pages per hour, did she read?

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

44 1/2 pph

Step-by-step explanation:

1/3 of an hour she reads 14 3/4 pages,that means that 3 times 14 3/4 equals 44 1/2 pages per hour

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A small manufacturer constructs refrigerators. the fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator
Gala2k [10]

Horizontal asymptote of c(x) is 450.

<h3>What is Horizontal asymptote?</h3>

A horizontal asymptote is a line that guides the graph of a function for x-values but is not itself a part of the graph. "far," either "far" to the right or "far" to the left. Eventually, whether the graph is large enough or little, it may intersect.

<h3>According to the information:</h3>

Since we have given that

Cost to produce one refrigerator = $450

Fixed monthly cost = $200,000

Thus, the following formula represents the average cost to produce x refrigerators:

C(x) = (200000 + 450x)/x

Horizontal asymptote of c(x) would be

= 450x/x

= 450

Hence, Horizontal asymptote of c(x) is 450

To know more about Horizontal asymptote visit:

brainly.com/question/12699857

#SPJ4

8 0
1 year ago
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
Tasya [4]
It should be 7.97 decigrams, since you want to convert 3 milligrams to decigrams (0.03), it is asking "How much more" which means you subtract.  8 subtracted from 0.03 is 7.97.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Jack spends 1 1/2 as long on his homework as Jill. Last week Jill spent 9 1/2 hours doing homework. How long did Jack spend doin
alina1380 [7]
The amount of time Jill spent to do her homework 
= 9 1/2 hours. which equals to  570 minutes.

Which means, the amount of times Jack needed to do his is 
= 570 minutes x 1.5
= 855 minutes which equals to 14 1/4 hours

hope this helps
7 0
3 years ago
In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or
8090 [49]

Answer:

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

3 0
3 years ago
Please Help! Thanks to whoever can answer this!
Illusion [34]
Here, we are missing the slope and the y intercept. 

Lets look for the y intercept first. 

Where does it cross the y axis?  At 3!!

3 is the y intercept. 

Now, find the slope by using the slope formula. 

m =  \frac{y2 - y1}{x2 - x1}
(0,3) and (2,1)

m = 1-3/2-0 = -2/2 = -2/2 = -1
m = -1

Okay, so we found our slope, now just write the equation. 

Answer: y = -1x + 3
8 0
3 years ago
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