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3 years ago

If a firm produces nothing which of the following costs will be zero?

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

In general when a firm produces nothing it still has to pay for the fixed costs while the variable costs are zero

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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.

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

In which

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

For this problem, we have that:

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.

4 0

3 years ago

The sum of the square of a positive number and the square of 44 more than the number is 8080. what is the number?

mash [69]

Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6

5 0

3 years ago

Read 2 more answers

15-a=20 what value would make this true

sergejj [24]

Answer:

a = -5

Step-by-step explanation:

15 - a = 20

Move the constant of 15 to the other side by subtracting it.

-a = 5

Divide by -1 to make a positive.