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3 years ago

Find the side of a square whose diagonal is of the given measure. Given = 8 miles

1 answer:

7 0

A square has 4 sides each of X miles. Its diagonal is X times Square Root of 2.
If the diagonal is 8 miles then 8 = xSqrt(2)
x = 8/Sqrt(2)
Rationalize the Denominator, i.e. multiply by Sqrt(2)/Sqrt(2)
X = 8Sqrt(2)/2
X = 4Sqrt(2)

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Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

Anton [14]

Answer: $(336.49,\ 355.51)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n= 314$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=346$

Standard deviation : $\sigma= 86$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Now, a confidence interval at the 95% level of confidence will be :-

$346\pm(1.96)\dfrac{86}{\sqrt{314}}\\\\\approx346\pm9.51\\\\=(346-9.51,\ 346+9.51)\\\\=(336.49,\ 355.51)$

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3 years ago

There are 60 slices of cheesecake in 5 cheesecakes.If There are the same number of slices in each cheesecake, how many slices ar

aniked [119]

60 slices in 5 cheesecakes. So 1 cheesecake has 12 slices. So 8 cheesecakes will have 96 slices

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3 years ago

1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present a

sesenic [268]

Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q, 7x+10/5x+10 = 9/7

or 9 (5x+10) = 7 (7x+10)

or 45x + 90 = 49x + 70

or 49x - 45x = 90 - 70

or 4x = 20

or x = 20/4 = 5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.

Step-by-step explanation:

You helped me before so thank you

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3 years ago

A box is filled with 8 blue cards, 6 red cards, and 6 yellow cards. A card is chosen at a random from the box. What is the proba

salantis [7]

Answer:

14/20 or .7 or 70%

Step-by-step explanation:

Total Number of cards: 20

Number of Red cards: 6

The leftover cards: 20 -6 = 14

The probability of not getting a red = 14/20

14/20 as a decimal = 14/20 = 70/100 = .7

14/20 as a percent = 14/20 = 70/100 = 70%

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3 years ago

Evaluate the function below for f(3)<br> f (x) = 3x2 - 5<br> what’s the answer

Novay_Z [31]

The answer is 13 because you would plug in 3(3) which is 9 then you multiply (9)(2) which is 18 they you subtract 18-5 which equals 13

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3 years ago