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3 years ago

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?

Mathematics

1 answer:

Ber [7]3 years ago

3 0

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

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3 years ago

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were born, a

Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

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.

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In which

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For this problem, we have that:

In the study 340 babies were born, and 289 of them were girls. This means that $n = 340, \pi = \frac{289}{340} = 0.85$

Use the sample data to construct a 99% confidence interval estimate of the percentage of girls born.

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90$

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be effective?

b)Yes, the proportion of girls is significantly different from 0.5.

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3 years ago

H=65-1.4x what is the initial value?

wariber [46]

The <span>initial value is 65 since that is the y intersept.</span>

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3 years ago

Solve this and show work

just olya [345]

Answer:

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Rounded to the nearest hundreths, the answer is 1.71

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3 years ago

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Georgia [21]

Answer:

i feel like correct answrr would be C. Hope this helps!!!

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3 years ago

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?​

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?