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1 year ago

Which one of the following graphs is the graph of:3if -2 < x < 01if x = 0if 0 < x≤ 2f(x) =A.44B.4-²-(x + 1)?

Mathematics

1 answer:

In-s [12.5K]1 year ago

8 0

Given the piecewise function:

$f(x)=\begin{cases}{3\text{ if -2}\leq x$

Let's select the graph which represents the function.

We have the graph below:

For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2

For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)

For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)

ANSWER:

Graph B

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A set of data items is normally distributed with a mean of 240 and a standard deviation of 32. Convert 272 to a? z-score

dem82 [27]

Answer:

z-score = 1

Step-by-step explanation:

Given

Mean= μ=240

SD= σ=32

In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.

The formula for z-score is:

z-score=(x-μ)/σ

Here x is the value whose z-score is to be found.

In the given question, x = 272

So,

z-score=(272-240)/32

=32/32

So , the z-score for 272 is 1..

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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

strojnjashka [21]

Answer:

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.

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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4 years ago

Every whole number is a real number . <br> True or false

grandymaker [24]

True. No imaginary number is considered "whole", all whole numbers are rational and real.

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3 years ago

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Answer: The required ratio would be 3 miles : 4 minutes.

Step-by-step explanation: