Yes or no and explain?

Farmer Ben has only ducks and cows. He can’t remember how many of each he has, but he doesn’t need to remember because he knows

Maru [420]

Answer:

12 cows - 48 legs

4 ducks- 8 legs

- there are many different numbers you can do but if you want to change the numbers and have more ducks then: for every one cow you take away two more ducks.

Step-by-step explanation:

22 total animals

56 total legs

ducks have 2 legs

cows have 4 legs

12 times 4 = 48 ( 12 cows with 4 legs each cow = 48 legs)

4 times 2 = 8 ( 4 ducks with 2 legs each duck = 8 legs)

6 0

2 years ago

The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

So

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

3 years ago

The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either

kompoz [17]

The Rome data center is best described by the mean. The New York data center is best described by the median. The third option C is correct.

<h3>The Mean and Median:</h3>

The mean of a data set is the average of all the terms in the data set. The median of a data set is the value of the midpoint term in the frequency distribution.

From the given information, the table can be better expressed as:

High Low Q1 Q3 IQR Median Mean σ

Rome 18 1 3 7 4 6.5 6.4 4.3

NY 14 1 4.5 8.5 4 5.5 6.1 3.2

From the data sets in the table, the distribution for Rome is not largely diverse, and there isn't much departure from the mean value. It indicates that in the data set of Rome families, no outliers have occurred.

In New York, the data indicate a distinct outlier for New York families in Q3. This is due to the fact that the gap is so large, the mean may not be a good choice for determining the measure of the central tendency.

Therefore, we can conclude that, the Rome data center is best described by the mean and the median will be utilized to determine the central tendency in New York.

Learn more about mean and median here:

brainly.com/question/14532771

4 0

2 years ago

Solve the inequality graph the solution 2|x+1/3|<9

shtirl [24]

-29/6<x<25/6
I'm sorry I can't graph because Brainly won't take my Img.
But I will tell you that it is a closed circle.

3 0

3 years ago

Read 2 more answers

In a survey, 60 people were asked:

LuckyWell [14K]