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3 years ago

Based on this picture and your knowledge of the Pythagorean Theorm, what is the ara of the empty square?

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

8 0

Answer:

100 units^2

Step-by-step explanation:

a^2+b^2=c^2

8^2+6^2=c^2

64+36=c^2

100=c^2 (area of square)

10=c (length of hypotenuse)

Therefore, the area of the square is 100 units^2

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The sum of five consecutive positive integers is 2020. Find the largets of these numbers.

Alona [7]

Answer:

406

Step-by-step explanation:

let the 5 consecutive positive integers be

n , n + 1 , n + 2 , n + 3 , n + 4 , then

n + n + 1 + n + 2 + n + 3 + n + 4 = 2020

5n + 10 = 2020 ( subtract 10 from both sides )

5n = 2010 ( divide both sides by 5 )

n = 402

then

largest integer = n + 4 = 402 + 4 = 406

4 0

2 years ago

The height of a seat on a Ferris wheel can be modeled as H (t) = 48 sin (pi/30 t+ 3pi/2) + 53, where tis time in seconds and H(t

Sedaia [141]

Answer:

101ft

Step-by-step explanation:

the answer is in the above image

4 0

3 years ago

Find the x-intercept of f(×)=(×+2)/(×+1)

Usimov [2.4K]

The x intercept of f(x)=(x+2)/(x+1) is (-2,0)

8 0

3 years ago

In a study to find the proportion of children with asthma in a certain population, we desire a 95% confidence interval with stan

soldier1979 [14.2K]

Answer:

The minimum sample size should be of 381.

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 level of $1-\alpha$ , 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 $1 - \frac{\alpha}{2}$ .

The margin of error is given by:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Without any prior knowledge of the proportion, what should be our minimum sample size

We dont know the population proportion, so we use $\pi = 0.5$ , which is when the largest sample size is needed. We have to find n for which $M = 0.05$ . So