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kirza4 [7]
3 years ago
9

Which linear inequality is represented by the graph? y > Two-thirdsx – One-fifth y ≥ Three-halvesx + One-fifth y ≤ Two-thirds

x + One-fifth y < Three-halvesx – One-fifth

Mathematics
3 answers:
leva [86]3 years ago
4 0

Answer:

D : y < 2/3x – 1

Step-by-step explanation:

took the assignment on edge ^^ hope this helps anyone who needs it

Marta_Voda [28]3 years ago
3 0

Answer:

y > 2/3x - 1/5

y ≥ 3/2x + 1/5

y ≤ 2/3x + 1/5

y < 3/2x - 1/5

(Assume that the question want you to draw a graph)

Remember:

> or < is a dotted line

≥ or ≤ is a solid line

kari952 years ago
0 0

Which linear inequality is represented by the graph?

y > Two-thirdsx – One-fifth
y ≥ Three-halvesx + One-fifth
y ≤ Two-thirdsx + One-fifth
y < Three-halvesx – One-fifth

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Sara pays $2,120 in bills each month. Her monthly income is $2,960. What is Sara's disposable income?
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Saras disposable income is $840
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In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95%
lions [1.4K]

Answer:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

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 represent the real population proportion of interest

\aht p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

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

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 margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

And replacing into equation (b) the values from part a we got:  

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.59  

And rounded up we have that n=350  

6 0
2 years ago
Log 300 =<br> log 3.26 =<br> log 10,000 =<br> log 20 =
ehidna [41]

Answer:

Log300=2.4771

Log3.26=0.5132

Log10000=4

Log20=1.3010

Step-by-step explanation:

log300=2.4771

Log3.26=0.5132

Log10000=4

Log20=1.3010

4 0
3 years ago
If the delivery company achieves its improvement goal, by how much will the hourly delivery rate of the typical delivery staff m
DanielleElmas [232]

It should be noted that the hourly delivery rate is calculated by dividing the income made by the number of hours worked.

<h3>How to calculate the hourly delivery rate</h3>

Your information is incomplete. Therefore, an overview of the information will be given.

In order to get an hourly rate, it's important to divide the income that the person gets by the number of hours that the person worked.

In this case, let's say that the income is $20000 and the number of hours that was worked monthly was 240 hours, the hourly rate will be:

= $2000/240

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Learn more about hourly rate on:

brainly.com/question/24392720

4 0
2 years ago
in a box of chocolates, 1/5 of the chocolates contain nuts. the rest of the chocolates do not contain nuts. write down the ratio
valina [46]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

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