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3 years ago

Which expression gives the distance between the points (2,5) and (-4,8)?

Mathematics

1 answer:

inessss [21]3 years ago

6 0

Square root of (5-9)^2+(1+6)^2

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A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0

3 years ago

Whats -12j > 156 , and n+4 +2n < -20 and also -1/2 k - 14 <11

yKpoI14uk [10]

For the first one it is, j<−13
Second one, n<−8
Third one, k>−50

8 0

3 years ago

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

A game decreased in price by 1 5 . After the reduction it was priced at £48. What was the original price of the game?

vovikov84 [41]

Answer:

£63

Step-by-step explanation:

when we subtract 15 from 48 ,we get 63 which is the answer.

8 0

3 years ago

What is the fraction 70/75 equivalent to?

ki77a [65]

Answer:14/15

Step-by-step explanation:

7 0

3 years ago