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Arada [10]
1 year ago
10

antonia is keeping track of the number of pages she reads. she started the school year having already read 95 pages her book, an

d she then reads 20 pages each day. the function for her total pages read is f(x) = 20x 95. what do f(x) and x represent in antonia's situation?
Mathematics
2 answers:
NARA [144]1 year ago
7 0
F(x) represents how many pages in total Antonia has read, while x represents the number of days.
tigry1 [53]1 year ago
4 0

Answer:  f(x) represents the total number of pages she read in x days.

And x represents the number of days she reads.

Step-by-step explanation:

Since we have given that

Number of pages she has already read from her book = 95

Number of pages she read each day = 20

So, the function would be

f(x)=20x+95

Here, x denotes the number of days she reads.

So, f(x) represents the total number of pages she read in x days.

And x represents the number of days she reads.

You might be interested in
A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates w
sveta [45]

Answer:

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

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".  

p_A represent the real population proportion for business  

\hat p_A =\frac{75}{400}=0.1875 represent the estimated proportion for Business

n_A=400 is the sample size required for Business

p_B represent the real population proportion for non Business

\hat p_B =\frac{137}{500}=0.274 represent the estimated proportion for non Business

n_B=500 is the sample size required for non Business

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.96  

And replacing into the confidence interval formula we got:  

(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412  

(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318  

And the 95% confidence interval would be given (-0.1412;-0.0318).  

We are confident at 95% that the difference between the two proportions is between -0.1412 \leq p_A -p_B \leq -0.0318

7 0
1 year ago
A recipe states that 5 servings of peanuts have 1,250calories. How many calories is 2 servings of peanuts? *
MrMuchimi

Answer:

500 calories

Step-by-step explanation:

divide the 1250 calories by the initial five servings and you get 250 then multiply that by the 2 servings they are asking for and you get 500 calories

4 0
1 year ago
Read 2 more answers
After college graduation, Mario received employment offers from two companies. The first company offered a yearly salary of $31,
Alexandra [31]
The first thing we must do for this case is to define a variable:
 x: number of years
 y: total salary
 We have then:
 For first company:
 y = 1500x + 31000
 For second company:
 y = 2000x + 28500
 Equaling both equations we have:
 1500x + 31000 = 2000x + 28500
 Clearing x:
 2000x - 1500x = 31000 - 28500
 500x = 2500
 x = 2500/500
 x = 5
 Answer:
 
It will take for the salaries to be the same about:
 
x = 5 years
3 0
1 year ago
An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
Aleksandr-060686 [28]

Answer:

<h2>5,936.76 feet/day</h2>

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

<em>Hence the speed in feet per day is  5,936.76 feet/day</em>

3 0
2 years ago
A brand new filled can of chicken broth is 12 cm tall and has a radius of 5 cm. Michele uses some of the broth to cook and now t
Natalka [10]
To find the awnser, the equation would be: the volume of the can - the volume left

to find the value,we can use 3.14 for 丌

The volume of the can would be the base area (丌r^2)times it's height,which in this case the volume is:

3.14(5)^2×12
=3.14×25×12
=942 cm³

The volume left:
3.14(5)^2×4
=314cm³

Thus,Mishka used:
942-314
=628 cm³

The answer is 628cm³

Hope it helps!
5 0
2 years ago
Read 2 more answers
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