All categories

3 years ago

Which of the following accurately shows the range of the function defined below?

Mathematics

2 answers:

DochEvi [55]3 years ago

4 0

Answer:

3,infinity

Step-by-step explanation:

IgorLugansk [536]3 years ago

4 0

Answer:

i think A

Step-by-step explanation:

You might be interested in

Look at pic and answer plzzzzz its a DLA (7th)

Zigmanuir [339]

Answer: 187.96 cm

Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.

5 0

3 years ago

Read 2 more answers

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of the sample proportion in sample of size n, the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.2, n = 400$

$\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02$

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.24 - 0.2}{0.02}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772.

X = 0.16

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.16 - 0.2}{0.02}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0

3 years ago

Read 2 more answers

Daniel borrows $2,500 at 6% simple interest for 5 years. How much is daniel going to pay in interest. May I please get help I ha

Sergio039 [100]

Answer:

2500 x 6/100 = 150

150 x 5 = 750

2500 + 750 = 3 250

Step-by-step explanation:

You first have to determine the interest for one year. We know that a percentage means a 100 so we are going to use 6/100. You then have to multiple that by the original amount, you will then get your answer. After obtaining your answer your will multiple it by the number of years which is 5, once you get your answer add it to the original amount. Then you are all set.

5 0

3 years ago

How would you set up this problem to find the height of the sail using reciprocal functions?

AVprozaik [17]

Remark

I'm not sure I know what you mean, but I will answer trying to interpret it so it fits the description of the question.

Step One: Set up the equation. The normal way of solving this would be to use the Cos function.

Cos(theta) = Adjacent / hypotenuse = x/8 Multiply both sides by 8

8*cos(theta) = x Theta = 35

8*cos(35) = x This is about as simple a way as is possible.

6.553 = the height of the sale.

Step Three: try using the reciprocal

1 / cos(35)= hypotenuse / adjacent

1/0.8191 = 8/x cross multiply

x = 0.8191 * 8

x = 6.553

5 0

3 years ago

What is 9.7 as a fraction ?

topjm [15]

Answer:

Step-by-step explanation:

9.7 = $\frac{97}{10}$

Count the number of places in the decimal number after the decimal point.

Here , there is only one place.

So, multiply and divide by 10. 9.7 *10/1*10 = 97/10

8 0

3 years ago