How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?

Answer: Length = 24; width =4

Step-by-step explanation

Since the ratio of the length to width is 6:1

Let the length  be represented as  6x

And the width be  = x

Such that that the Perimeter of the rectangle which is  

Perimeter = 2(length + width)  becomes

56 = 2(6x + x)

56/2 = 6x+x

28 = 7x

x = 4

Width = 4

Length = 6x= 6 x 4 = 24

A skewed right distribution is most likely to result in the mean being substantially smaller than the median.

The mean and median are measures of central tendency used to describe the center of a distribution. In a skewed right distribution, the tail of the distribution extends towards the right, indicating a larger number of smaller values and a few extremely large values. This distribution shape is also known as positively skewed.

When a distribution is skewed right, the mean is typically pulled towards the larger values in the tail, making it larger than the median. However, there are scenarios where the mean can be substantially smaller than the median in a skewed right distribution.

This occurs when there are extremely large values in the tail that significantly affect the mean, but the bulk of the distribution remains concentrated on the smaller side. As a result, the mean can be pulled downward, making it smaller than the median.

On the other hand, in a symmetric distribution or a skewed left distribution (negatively skewed), where the tail extends towards the left with a larger number of larger values and a few extremely small values, it is less likely for the mean to be substantially smaller than the median. In these cases, the mean is typically closer to or larger than the median.

To know more about skewed refer here:

https://brainly.com/question/32250442

#SPJ11

Answer:

35.56

Step-by-step explanation:

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

We have a square garden of 400 square foot.

The area of a square is:

where x: side length.

In this case:

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

Answer: the fencing will cost a total of $128.40

The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

Learn more about Divisor at

https://brainly.com/question/28445446

#SPJ4

The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

Answer:

Step-by-step explanation:

807

Answer:

408

Step-by-step explanation:

3 x 19 = 57

x 14 = 798

+ 18 = 816

divided by 2 = 408

Answer:

31

Step-by-step explanation:

Answer:

Store B and Its $1.20 cheaper if you buys five packs of strawberries from store B

Answer:

21

Step-by-step explanation:

7 * 3 =21

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

To learn more about unitary method, refer to the link: https://brainly.com/question/24587372

#SPJ4

Answer:

Multiply by -2

Step-by-step explanation:

Additive inverse essentially means the counterpart that negates a number. Then, elimination can be used. In this case, the easiest change would be with the terms -4y in the first equation, and -2y in the second equation, since 2 is a factor of 4. So,

3x - 4y = -5

5x - 2y = -6

The goal here is to cancel out the -4y.

(5x - 2y)(-2) = (-6)(-2)

-10 + 4y = 12

3x - 4y = -5

Now it works.

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

Learn more about statistic here

https://brainly.com/question/15525560

#SPJ11

There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

https://brainly.com/question/32386318

#SPJ11

The volume of the two popcorn containers are V₁ = 716.2831 cm³ and V₂ = 753.9822 cm³

Given data ,

Let the volume of the two popcorn containers be V₁ and V₂

where V₁ = volume of cone

V₂ = volume of cylinder

On simplifying , we get

V₁ = ( 1/3 ) πr²h

V₂ = πr²h

V₁ = ( 1/3 ) π ( 6 )² ( 19 )

So , the volume of first popcorn box V₁ = 716.2831 cm³

V₂ = π ( 4 )² ( 15 )

V₂ = 753.9822 cm³

So , the volume of second popcorn box V₂ = 753.9822 cm³

Hence , the volume of the popcorn boxes are solved

To learn more about cone click :

https://brainly.com/question/1984638

#SPJ1

ANSWER

Melanie uses 31 and a half pencils per hour

EXPLANATION

If she uses 14 pencils in 4/9 of an hour, we want to find how many pencils does she use in 1 hour:

Considering the given box plots, we have that:

It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.

Hence, for class A, we have that:

Then:

Hence, for class B, we have that:

Then:

Hence the correct options are given as follows:

More can be learned about box plots at https://brainly.com/question/27721471

#SPJ1

Answer:

The Unit Rate = 0.25 cup

Step-by-step explanation:

0.5 cup equals 2 servings.

The Unit Rate = per serving

Per serving = 0.5 cup / 2 serving

= 0.25 cup

Per serving = 0.25 cup

The Unit Rate = 0.25 cup

Answer:

x = ± \(\sqrt{\frac{y}{a} }\)

Step-by-step explanation:

Given

y = ax² ( divide both sides by a to isolate x² )

\(\frac{y}{a}\) = x² ( take the square root of both sides )

x = ± \(\sqrt{\frac{y}{a} }\)

Answer:

9x

Step-by-step explanation:

3x + 6x

= 9x

Answer:

This is really easy:

Answer: 9x

Step-by-step explanation:

Just add the numbers first:

3 + 6 = 9

And because they both have a x you are able to combine those two making it:

9x

Hope this helps :)

The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ4

The measure of center that is the sum of a data set divided by the number of values it contains is called sample mean.

Sample mean is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample. It is a measure of central tendency, which describes a typical value of the dataset. It is also known as the arithmetic mean or simply the mean.

The mean can be used to summarize data sets for comparison. It is useful in inferential statistics to estimate the population mean from the sample data. It is an important measure that is frequently used in many areas such as research, business, and finance.

In summary, the measure of center that is the sum of a data set divided by the number of values it contains is sample mean, and it is calculated by adding up all the values in the sample and then dividing the sum by the number of values in the sample.

Know more about Sample mean here,

https://brainly.com/question/33323852

#SPJ11

For a normal distribution, the skewness and kurtosis measures are as follows: Option B. 0 and 3.

Skewness is a measure of the asymmetry of a probability distribution. Skewness is a measure of the degree of asymmetry in the probability distribution of a random variable around its mean.

When the skewness is 0, the normal distribution is symmetrical.

Kurtosis is a measure of the degree of peakiness, or flatness, of a probability distribution.

For a normal distribution, kurtosis equals 3. In comparison to the normal distribution, distributions with kurtosis greater than 3 have a more pointed peak and longer tails, while distributions with kurtosis less than 3 have a less pointed peak and shorter tails.

Therefore, for a normal distribution, the skewness and kurtosis measures are 0 and 3, respectively. Hence, the correct option is B. 0 and 3.

To more about Skewness:

https://brainly.com/question/15422644

#SPJ11

Answer:

\( {x}^{2} + {(y - 139)}^{2} = {125}^{2} \)

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

Read more about multipliers:

brainly.com/question/15883095

Answer:

for number one it is 6

for number two it is 48

Step-by-step explanation:

please mark brainliest

Answer:

Step-by-step explanation:

1. 3 · 2 (First power) = 3 · 2 = 6

2. 3 · 2 (Fourth power) = 3 · 16 = 48

The probability that X is greater than 145.28 is approximately 0.0465.

Given that X is normally distributed with mean (μ) of 110 and standard deviation (σ) of 21. We are to find the probability that X is greater than 145.28. It can be calculated as follows: We can calculate the Z-score value with the help of the following formula, Z = (X - μ) / σWhere X is the random variable value, μ is the mean, and σ is the standard deviation. Substituting the values in the formula, we get: Z = (145.28 - 110) / 21Z = 1.68476 Using the Z-table, we can find the probability that X is greater than 145.28 as follows: From the Z-table, we get: P(Z > 1.68) = 0.0465

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

Considering the definition of an algebraic expression, The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

An algebraic expression is a combination of numbers and letters related to each other by mathematical operations. Usually, the letters represent unknown quantities and are called variables or unknowns.

In this case, you know:

(a) The sum of four times the opposite of a number and - 5

(b) The product of 5 and the sum of 3 times a number and 4​

The algebraic expression of the word pharses are:

(a) 4×(-x) + (-5)

(b) 5×(3x + 4)

Learn more about algebraic expressions:

https://brainly.com/question/28345080

#SPJ1

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??