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3 years ago

Evaluate f(x)=2x-5 for x=3

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

F(x)=2(3)-5
f(x)=6-5
f(x)=1

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Help 10 pts!!!

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Answer:

40 ft^2

Step-by-step explanation:

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top surface area-Stop = 8 ft^2

bottom surface area -Sbot = 8 ft^2

24+8+8= 40

total surface area -Stot = 40 ft^2

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2 years ago

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Alexis is making bread dough.The recipe requires 3/4 cup of flour and 1 2/5 teaspoon of salt. To maintain the ratio,how much sal

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16/5 teaspoons

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1/4 cups of flour uses 4/15 teaspoon so 4/15 x 4 is 16/5

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2 years ago

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Step-by-step explanation:

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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 335335 babies were born

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The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

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Step-by-step explanation:

Confidence Interval for the proportion:

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 335, \pi = \frac{268}{335} = 0.8$

99% confidence level

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:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563$

For the percentage:

Multiplying the proportions by 100.

The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

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3 years ago