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irina1246 [14]
2 years ago
12

Rahul sold a painting at 10% profit. If he had sold it for 240 more, he would have made 15% profit. What is the C.P. of the pain

ting?
please tell ans step by step..
​
Mathematics
1 answer:
dangina [55]2 years ago
6 0

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=\frac{10}{100}\times x=\frac{10x}{100}

If S.P increase by 240 then

Profit=15% of x=\frac{15x}{100}

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=\frac{100x+10x}{100}=\frac{110}{100}x

For second case

New S.P=x+\frac{15}{100}x

         =\frac{115}{100}x

According to question

240+S.P=\frac{115}{100}x

240+\frac{110x}{100}=\frac{115}{100}x

240=\frac{115}{100}x-\frac{110x}{100}

240=\frac{115x-110x}{100}

240=\frac{5}{100}x

x=\frac{240\times 100}{5}

x=4800

Hence, the C.P of the painting=$4800

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julia-pushkina [17]

Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who caught the longer fish, relative to fish of the same species?

Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when X = 283, \mu = 264, \sigma = 57

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

Z = \frac{283 - 264}{57}

Z = 0.33

Gina caught a pompano that was 152mm long.

For pompano, the mean is 157mm with a standard deviation of 28mm.

So we have to find Z when X = 152, \mu = 157, \sigma = 28

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

Z = \frac{152 - 157}{28}

Z = -0.18

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

8 0
3 years ago
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

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Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
Sam
Oksi-84 [34.3K]

Answer:

189

Step-by-step explanation:

you get this by taking 315 and mutiply it by 0.6 and get 189

4 0
3 years ago
40 points right here
trapecia [35]
Add up all the sides is one way I think and then try to find the volume like add them all up then divide them by 2
4 0
2 years ago
A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o
Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

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In this problem

$132.50 represent the 100%

100%+18%=118%

so

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Find out the total amount that represent 118%

Let

x ----> the total amount of the bill

\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35

7 0
2 years ago
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