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3 years ago

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A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by se

lling for the same selling price.

1 answer:

Marta_Voda [28]3 years ago

3 0

Answer:

Current selling price = Rs 20 × 120 %

= Rs 24

Cost price should be [100 ÷ 125 ] × 24

= Rs 19.20

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find the smallest number of terms which may be taken in order that the sum of the arithmetical series 325+350+375+.......may exc

Misha Larkins [42]

Answer is 19;

Problem
a1=325 , d=25 , S19=?
Result
S19=10450
Explanation
To find S19 we use formula
Sn=n2⋅(2a1+(n−1)⋅d)
In this example we have a1=325 , d=25 , n=19. After substituting these values into the above equation, we obtain:
Sn19=n2⋅(2a1+(n−1)⋅d)=192⋅(2⋅325+(19−1)⋅25)=192⋅(650+18⋅25)=192⋅(650+450)=192⋅1100=10450

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3 years ago

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A survey of 1000 air travelers1 found that 60 % prefer a window seat. The sample size is large enough to use the normal distribu

stira [4]

Answer:

The 90% confidence interval is 0.575 to 0.625.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

Z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1000, \pi = 0.60$

90% confidence interval

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 - 1.645\sqrt{\frac{0.60*0.40}{1000}} = 0.575$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.60 + 1.645\sqrt{\frac{0.60*0.40}{1000}} {119}} = 0.625$

The 90% confidence interval is 0.575 to 0.625.

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3 years ago

Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to t

aleksklad [387]

Answer:

14 = 8 + 2d

Step-by-step explanation:

Odometer is a device that is equipped in the vehicles to count the distance traveled by the vehicle.

It has been given in the question that,

Distance between beach and her friend's house = d miles.

Distance between Brenna's house and her friend's house = 8 miles

Total distance traveled by Brenna = 14 miles.

Starting from the Brenna's house, we will add each distance traveled till the end of her journey and will make it equal to the 14 miles.

So,

Total distance = Distance between Brenna's house and her friend's house + Distance between her friend's house and beach + Distance between beach and her friend's house

Thus, we can now put the values as,

14 = 8 + d + d

We will get the final equation as

14 = 8 + 2d

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3 years ago

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The ratio 6 to 9 in simplest form is<br><br> 1/3<br> 2/3<br> 3/2

Artyom0805 [142]

It would be: 6/9 = 2/3 = 2 : 3

In short, Your Answer would be Option B

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3 years ago

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g A researcher conducts a hypothesis test where he compares the scores of a random sample of students' SAT scores to the nationa

elena-s [515]

Answer:

Let level of significance is $\alpha$ =0.05

Since p-value is greater than alpha so students' mean score does not significantly differ from the national average.

Correct option is:

His students' mean score does not significantly differ from the national average, because his p-value is greater than alpha.

Let level of significance is $\alpha$ =0.10

Since p-value is less than alpha so students' mean score does significantly differ from the national average.

Correct option is:

His students' mean score does significantly differ from the national average, because his p-value is less than alpha.

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3 years ago