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3 years ago

What is the equation of the midline of the function f(x) = 5.6sin (2.6x - 4.2) - 9.1?

Mathematics

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

$f(x) = -9.1$

Step-by-step explanation:

The midline is set on $f(x) = -9.1$ , when the sine function is equal to zero, eliminating the effect from amplitude. The midline is a horizontal line. Hence, the equation of the midline is:

$f(x) = -9.1$

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1 What is the simplified value of the exponential expression 27'? © malo 03

Anon25 [30]

Answer:

${27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[3]{3 \times 3 \times 3} = \boxed{ 3}✓$

<h3>3. <em><u>3</u></em> is the right answer.</h3>

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3 years ago

Read 2 more answers

Two brothers have ages that are consecutive odd integers. The product of their ages is 38 less than the older brother's age squa

Lemur [1.5K]

answer = the elder bother is 17 and the younger one is 15

constructive odd integers= 15 and 17

17×15= 255

255+38 = 293

Square root of 293 = 17

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3 years ago

In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or

8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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3 years ago

Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet.

Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

the location below sea level is greater than 5 feet.

Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

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2 years ago

A baker sells cookies for $1.50 each. If a minimum of two dozen cookies is ordered, the baker gives a 40% discount for each cook

kenny6666 [7]

I don't see the expression below.
Since the 40% discount applies to the number of cookies sold above 2 dozen, or 24, then if the number of cookies is c, then c - 24 is the number of cookies above 2 dozen. Answer is B.

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3 years ago